TTC Video : High School Level - Chemistry

High School Level - Chemistry

Many students struggle in high school chemistry. Even if they succeed in earning a good grade, they often still feel confused and unconfident. Why is this? And what can be done to help every student succeed in this vitally important course?

Success in chemistry, according to veteran science teacher Professor Frank Cardulla, doesn't require any special intellectual gifts or talents or advanced mathematical skill. All it requires is a genuine understanding of the ideas that students encounter in the high school chemistry classroom. If students truly understand what they are learning, they will do more than just succeed in high school chemistry; they will find lasting success as they continue to study chemistry in college and beyond.

In Chemistry, 2nd Edition, Professor Cardulla offers 36 carefully designed lectures that provide a solid foundation for future success by giving students a deep and thorough understanding of the fundamental concepts and problem-solving skills needed in the study of chemistry. He has created the perfect course for students who are struggling in their high school chemistry class, for students who simply want to perform better, or for home-schooled students. Even those long out of high school have reaped the benefits of Professor Cardulla's lectures—thousands of our adult customers have purchased and enjoyed the first edition of this course, finding it a useful tool for gaining a better understanding of chemistry.

Learning that Lasts

When students replace rote memorization with a real understanding of what is happening in the problems they encounter, chemistry comes alive. They experience the excitement of grasping the ideas behind the problems and the confidence that comes as they master what they might think of as intimidating material.

That's what happens in Chemistry, 2nd Edition. Through his clear and engaging lectures, Professor Cardulla demonstrates how students can use everyday common sense and logic—intellectual skills they already possess—to truly comprehend the concepts and problems encountered in introductory chemistry. Using examples and analogies drawn from real life, he takes the intimidation out of chemistry and makes this often challenging course accessible for all students.

A Comprehensive Chemistry Course

The course opens with several lectures that outline the instructor's teaching philosophy and demonstrate how students can use logical thinking to help them solve chemistry problems. In subsequent lectures, Professor Cardulla applies these problem-solving skills to key topics in introductory chemistry:

* The periodic table
* Balancing chemical equations
* Elements, atoms, ions, and isotopes
* Density
* Equilibrium
* Le Chatelier's Principle
* Stoichiometry
* Titration
* Molarity
* Acids and bases

To bring these topics to life, Professor Cardulla makes use of visual aids, including illustrations, graphs, demonstrations, and diagrams that support learning and help students gain a deeper understanding of key concepts.

The result is an effective, carefully crafted course that gives students the tools they need to master the basics of high school chemistry. Chemistry, 2nd Edition can be used as a stand-alone introduction to chemistry or in conjunction with a high school chemistry course.

Hands-on Problem Solving

As Professor Cardulla explains, true comprehension of chemistry comes only when students wrestle with the problems themselves. As a result, these lectures are filled with problems that give students ample opportunity to apply the concepts they've learned and strengthen their general problem-solving skills.

With each problem, students are encouraged to stop the lecture and work with the concepts presented to find their own solutions. Afterward, they return to the lecture, where Professor Cardulla presents a thorough and clear explanation of how to find the correct answer. And since the emphasis is on comprehension rather than memorization, Professor Cardulla often provides different methods for solving these problems. He discusses the merits and drawbacks of these various methods and how they relate to a deeper understanding of the ideas behind the problems.

TTC Video : High School Level - Geometry

High School Level - Geometry

Professor Noggle's lectures on geometry are exceptionally clear and well organized. He has an evident love for the topic, and a real gift for conveying the elegance and precision of geometric concepts and demonstrations. You will learn how geometrical concepts link new theorems and ideas to previous ones. This helps you see geometry as a unified body of knowledge whose concepts build upon one another.
For more than 30 years Professor James Noggle has been letting his students in on a secret at the high school in Pendleton, Indiana. He makes geometry feel like a long, cool drink as he guides you through the mysteries of lines, planes, angles, inductive and deductive reasoning, parallel lines and planes, triangles, polygons, and more.

In this course taught by an award-winning teacher, you develop the ability to read, write, think, and communicate about the concepts of geometry. As your comprehension and understanding of the geometrical vocabulary increase, you will have the ability to explain answers, justify mathematical reasoning, and describe problem-solving strategies.

Professor Noggle relies heavily on the blackboard and a flipchart on an easel in his 30 lectures. Very little use is made of computer-generated graphics, though several physical models of geometric objects are used throughout the lectures.

A New Way to Look at the World around You

The language of geometry is beautifully expressed in words, symbols, formulas, postulates, and theorems. These are the dynamic tools by which you can solve problems, communicate, and express geometrical ideas and concepts.

Connecting the geometrical concepts includes linking new theorems and ideas to previous ones. This helps you to see geometry as a unified body of knowledge whose concepts build upon one another. And you should be able to connect these concepts to appropriate real-world applications.

Professor Noggle’s Geometry course will begin with basic fundamental concepts used throughout the course. Students will be able to recognize and define such terms as points, planes, and angles; parallel lines, skew lines, parallel planes, and transversals; as well as the terms space, collinear, intersection, segment, and ray.

Students will discover the world of angles—symbols used for them, establishing a system of angle measurement, classifying the different types, and showing angle relationships.

The course then continues with the use of inductive reasoning to discover mathematical relationships and recognize real-world applications of inductive reasoning, conditional statements, and deductive reasoning.

Using the Fundamental Tools of Geometry

After the first few lectures introduce students to the basic terms, Professor Noggle will open the world of geometry to students. Upon completion of this course, you should be able to:

* Classify triangles according to their sides and angles
* Distinguish between convex polygons and concave polygons, and find the interior and exterior angles of convex polygons
* State and apply postulates and theorems involving parallel lines and convex polygons to solve related problems and prove statements using deductive reasoning.
* Explain the ratio in its simplest form; identify, write, and solve proportions
* Identify congruent parts of congruent triangles; state and apply the SSS, SAS, and ASA postulates; and use those postulates to prove triangles congruent
* Be able to define, state, and apply theorems for parallelograms, rectangles, rhombuses, squares, and trapezoids
* Apply proportions and concepts of proportionality in right triangles; discuss the Pythagorean Theorem
* Explore the relationships between right and isosceles triangles
* Define tangent, sine, and cosine rations for angles
* State and apply properties and theorems regarding circles and their tangents, chords, central angles, and arcs
* Address the derivation of the area formulas and apply those formulas to rectangles, squares, parallelograms, triangles, trapezoids, and regular polygons
* Define polyhedron, prism, pyramid, cylinder, cone, and sphere; and apply theorems to compute the lateral area, total area, and volume of the prism, pyramid, cylinders, cones, and spheres.

TTC Video : High School Level - Algebra II

High School Level - Algebra II

Algebra II is the crucial high school mathematics course in preparing for a college education. College students who have not mastered Algebra II find themselves taking a remedial, noncredit course called Intermediate Algebra.

If you are struggling with Algebra II or are preparing to enter college or are currently in college and are struggling with Intermediate Algebra, then this Algebra II video series is for you.

Or if you are an adult who has always wanted to master the beauty of mathematics and now wants the opportunity to do so, this course can fulfill that dream.

A Man with a Plan

Dr. Murray H. Siegel earned his Ph.D. in Mathematics Education. Kentucky Educational Television named him "The Best Math Teacher in America," and he has received the Presidential Award for Excellence in Math Teaching. He has been teaching mathematics for decades to students of all ages, and his methods have been tested and proven in real classrooms.

This course is designed, in its sequencing of lessons and in each subject taught, to produce true understanding—the kind of confident knowledge that eliminates the anxiety many have in mathematics.

In this course, Dr. Siegel not only explains the key concepts and methods of Algebra II, he also takes you "behind the scenes." The 30 half-hour lessons show both how as well as why the methods work, using real-world applications to answer the age-old question in mathematics classes: When will I ever use this? With this series you learn Algebra II in a way you have never learned it before.

The series begins by relating the foundation of algebra—polynomials—to the numbers with which you are already familiar. You learn to operate with them, graph them, and solve polynomial equations.

The course then progresses to another essential algebraic concept—the function. Functions of all types are investigated: linear, polynomial (including quadratic), rational, and recursive.

Even the aspects of Algebra II that are usually considered difficult to teach are treated in a user-friendly manner so that all learners can truly understand these topics. Included in this list are matrices and determinants, imaginary numbers, sequences and series, and logarithms. (Yes, with Dr. Siegel as your guide, even logarithms will make sense!)

The final part of the course includes an introductory lesson in Trigonometry.

One important difference not found in most mathematics lessons is that serious learning is punctuated with humor. Dr. Siegel is not a stand-up comedian (although he was a radio talk show host long ago), but his students have never found him boring.

If you want to succeed in mathematics and have concerns that you can be successful in an Algebra course, then this course is for you. Your efforts will be rewarded and you will thank Dr. Siegel for opening the door to mathematical knowledge and understanding.

TTC Video : High School Level - Algebra I

High School Level - Algebra I

The teaching of algebra in most of today’s classrooms is not significantly different from what it was 50 years ago. Certainly, there have been some attempts to change algebra instruction, such as the "new math" reform movement of the 1960s. But the changes that persist in today’s algebra curricula, as a result of that movement, are more superficial than substantial. On the other hand, mathematics and its applications have changed spectacularly in the past 50 years. The advent of technology, for example, in both applied and pure mathematics, has changed the way mathematicians, scientists, and social scientists do and use mathematics. It is high time for the classroom instruction of algebra to reflect some of these changes. This is why, in some exciting, interactive, hands-on algebra classes, we are beginning to see changes in what, how, and in what order mathematics is being taught. Download the files immediately before they delete it again.

Our Algebra I course is on this cutting edge of mathematics teaching and learning for the many reasons stated below.

The Approach to Algebra in a Technological World

"In a technological world, variables actually vary and functions describe real-world phenomena. … Not only does technology suggest an increased 'front stage' role for functions, but it also allows for the dynamic study of families of functions." —National Council of Teachers of Mathematics, 1995, Algebra in a Technological World.

Inspired and informed by research on the teaching and learning of algebra, Dr. Monica Neagoy gives functions a "front stage" role in her Algebra I course design.

After a historical overview of the evolution of algebra, she explores the various families of functions, in a logical and ascending order from linear to quadratic to rational and, finally, to the family of exponential functions.

Each family serves as the building blocks for understanding the following and more advanced family of functions.

The penultimate section addresses systems of equations and inequalities—taken from among the families studied in previous sections—and the final section looks to the future by giving a taste of fascinating fractals and captivating chaos.

Algebra the "Gatekeeper"

Algebra I has a well-established reputation as one of the primary gatekeepers for access to college, and in particular for access to competitive public and private institutions. One of the main reasons for algebra’s longstanding reputation as a gatekeeper is the way in which it functions as a prerequisite to all other college-required mathematics courses. For this reason, it is very important that students acquire a rich foundation for both a conceptual understanding and procedural fluidity that will serve them not only along their journey through algebra, but also beyond.

You will be amazed by Dr. Neagoy’s ability to help her audience tackle complex concepts, deep questions, and rich problems with ease and joy. For example, after taking this course, "functions" will no longer represent merely abstract objects that "pass the vertical line test" for instance, but rather meaningful and powerful tools that can be used in all subsequent mathematics classes as well. Furthermore, applications of algebra will no longer be synonymous with those meaningless age, coin, mixture, and distance-rate-time word problems but rather with real-world problems that will expand horizons, ease understanding, and stimulate curiosity to learn more.

Moving beyond the abstract, Dr. Neagoy uses historical anecdotes, stories, and myths about mathematicians to humanize their work and the problems they were trying to solve. Concrete models such as prisms, cubes, and disks are employed to help students connect algebraic expressions with the shapes and quantities they describe. Finally, the latest graphing calculators are used throughout this course to illustrate key concepts and enhance student understanding.

The Language of Representations

Many studies have shown that when students are exposed to multiple representations of the concept or topic studied, the resulting understanding is deeper, for rich connections are made among these various forms of representations, thus solidifying a multifaceted mental construct.

Dr. Neagoy constantly travels back and forth among the various "universes" of algebra, which she calls words, equations, numbers, and graphs:

* Words are used to formulate questions and pose problems. If the use of language is not clear, it can be an impediment to the transition from words to algebraic symbols.
* Equations are the realm of algebraic symbols, often called number models in pre-algebra courses. The language of symbols has its own semantics and grammar. In this course much attention is paid to the correct use and rich understanding of symbolic algebra.
* Tables of Numbers in which one column contains the x values and another the y values can be used to represent algebraic relationships between two variables. With the use of modern technology, Dr. Neagoy effortlessly illustrates the fluid and beautiful transition from numbers to graphs, and back.
* Two-dimensional Graphs are the visual representations in the Cartesian plane of algebraic relationships between x and y variables. With the use of dynamic technology, she shows the students how to trace a graph and watch how the change in x affects the change in y, and vice versa.

Dr. Neagoy sometimes even goes beyond these four worlds and uses pictorial or concrete representations to render the problem investigated more hands-on and realistic. In her "mathematics laboratory," she uses a variety of 1-, 2-, and 3-D concrete models including string, square tiles, cylinders, cubes, and other polyhedra to bring problems alive. The use of mathematics manipulatives enhances her teaching and makes the learning more exciting.

In short, it is important to note that Dr. Neagoy focuses on the meaningful and related multiple representations of functions, variables, and relationships rather than focusing on the narrow acquisition of skills in manipulating dry symbols stripped of any meaning.

Multiple Audiences

While Algebra I was originally designed to target high school students, many returning adults have purchased this course for their own edification. We have received numerous letters and e-mail messages from such customers praising not only the content and approach of the course but also the excitement, passion, and expertise with which Dr. Neagoy infects, injects, and infuses her audience.

So if you are a "returning adult" and feel as if you’ve never really understood algebra—or appreciated its power or utility for that matter and would like to give it another chance, trust the word of your peers and embark on the algebra journey with Dr. Neagoy.

TTC Video : High School Level - Basic Math

High School Level - Basic Math

This course introduces the student to the basic concepts of mathematics as well as the fundamentals of more complicated areas. Basic Math is designed to provide students with an understanding of arithmetic and to prepare them for Algebra I and beyond.

Dr. Murray H. Siegel has a Ph.D. in Mathematics Education. Kentucky Educational Television honored him as "the best math teacher in America."

He has a gift and evident passion for explaining mathematical concepts in ways that make math seem clear and obvious rather than arbitrary and murky.

From the basics of multiplication to decimals and fractions and the operations of geometry, he is the master of the skillful metaphor and the well-wrought example.

The Plan of the Course

Dr. Siegel describes how he designed this course: "The topics, sequences, and examples used in this series are based on 23 years' experience teaching mathematics to real students. These students ranged in age from young children to adults past retirement age, many of whom lacked confidence in their ability to succeed in a mathematics course.

"If you, the student, do what is asked of you in the 30 lessons, you will greatly improve your understanding of basic mathematics. Furthermore, you will gain confidence in your ability to understand new mathematical topics and to accept new mathematical challenges."

The lessons cover the arithmetic of whole numbers, fractions, decimals, percents, and integers. Also included in the series are investigations of exponents, square roots, and the order of operations.

Lessons on geometry, measurement, problem-solving, probability, statistics, and pattern recognition (including sequences) prepare students for future mathematical studies.

In addition to learning how to perform various mathematical operations, you will find out why these operations work, how a particular lesson's topic relates to other parts of mathematics, and what practical uses exist requiring knowledge of these arithmetic operations.

When possible, alternative methods of computation are demonstrated. You may find these methods easier to use than the more traditional methods taught in most schools.

Who Can Benefit?

Basic Math is designed to instruct three different audiences. The first audience consists of students using this series at the outset of their study of arithmetic. Such a group may include children attending homeschool. The lessons are arranged sequentially to allow for logical development of the material.

The second audience is comprised of students experiencing difficulty with elementary mathematics in school. The lessons offer an opportunity for students to "make sense" of the mathematical knowledge that has been a source of frustration. These students will be able to fill in crucial gaps in their mathematical foundation as well as to develop a true understanding of arithmetic and pre-algebra topics.

The third audience consists of adults who are seeking a GED, are trying to prepare for college mathematics after many years away from the classroom, or, perhaps, finally want to overcome their anxiety regarding mathematics.

TTC Video : Physics in Your Life

Physics in Your Life

Physics in Your Life is more than a course in physics and more than a laundry list of "how things work." In fact, it combines the two, offering a back-and-forth interplay between everyday applications of physics and the concepts needed to understand them.

This course is organized into six modules, treating five specific realms of physics and their related applications, plus a sixth area devoted to a potpourri of topics:

Module 1 (Lectures 2-6), "Sight and Sound," begins with the technology behind CDs and DVDs, using these devices as a springboard to study light, sound, and other phenomena. You will explore how these principles relate to such topics as rainbows, optical fibers for communications, musical instruments, and laser vision correction.

Module 2 (Lectures 7-12), "Going Places," looks at motion and its connection to modes of transportation such as walking, automobiles, airplanes, and interplanetary probes. This module is based on Newton's laws, generalized to include such topics as fluid motion, conservation of energy, and the dynamics of space flight.

Module 3 (Lectures 13-18), "Plug In, Turn On," looks at the intimate connection between electricity and magnetism that is at the heart of technologies from electric motors and generators to videotapes and credit cards. Electricity and magnetism join to make possible electromagnetic waves, which enable the growing host of wireless technologies.

Module 4 (Lectures 19-24), "From Atom to Computer," starts with the element silicon and builds through progressively larger scales-transistors, logic circuits, microprocessors, motherboards, and peripherals-to create a conceptual picture of how a computer works.

Module 5 (Lectures 25-30), "Fire and Ice," introduces heat with topics ranging from physics in the kitchen to Earth’s climate and how humans may be altering it. Also covered are thermal responses of materials, including the unusual behavior of water in both liquid and solid form. The module ends with the second law of thermodynamics and its implications for human energy use.

Module 6 (Lectures 31-36), "Potpourri," offers a final miscellany of topics in physics: the workings of the space-based Global Positioning System; rotational motion in phenomena from dance to pulsars; lasers and their many uses; nuclear physics and its multifaceted role in our lives; the mechanics of the human body and how physics enables us to explore the body through medical imaging; and the evolution of the universe from the Big Bang to you.

TTC Video : Great Ideas of Classical Physics

Great Ideas of Classical Physics

What are the great ideas of classical physics? They are the conceptual tools that allow us to make sense of the world. They include discoveries, theories, insights, methods, and philosophical points of view. You will explore many of these breakthrough ideas, for example:
Experiment: It may seem obvious that if you want to understand something, you should experiment on it and not just think about it. But this idea did not catch on until Galileo performed a series of revolutionary investigations of motion in the early 1600s.
Use standards: One of the secrets of Galileo's success was that he used standard procedures, units, and techniques of analysis to compare his results. This approach led him to conclusions, like his principle of inertia, that no else had ever imagined.
Simplify: Another powerful insight of Galileo's was to start with simple cases and add complexity later. All physicists do this. In fact, they have a joke about it: A physicist is hired to advise a dairy farmer and says, "First, assume a spherical cow"!
Recognize the fundamental nature of obvious things: The common observation that hot objects cool down and cold ones warm up became the basis for the second law of thermodynamics, proposed by the French engineer Sadi Carnot in the early 1800s. The second law has profound implications for heat engines and for the "direction" of time.
Along with these and other general concepts, you learn about such basic features of reality as force and energy, space and time, electricity and magnetism; and you learn how these properties interact in a range of situations. As you proceed through the course, you will find that the entire universe—from atoms to galaxies—is your laboratory.

1. The Great Ideas of Classical Physics
2. Describing Motion—A Break from Aristotle
3. Describing Ever More Complex Motion
4. Astronomy as a Bridge to Modern Physics
5. Isaac Newton—The Dawn of Classical Physics
6. Newton Quantified—Force and Acceleration
7. Newton and the Connections to Astronomy
8. Universal Gravitation
9. Newton's Third Law
10. Conservation of Momentum
11. Beyond Newton—Work and Energy
12. Power and the Newtonian Synthesis
13. Further Developments—Static Electricity
14. Electricity, Magnetism, and Force Fields
15. Electrical Currents and Voltage
16. The Origin of Electric and Magnetic Fields
17. Unification I—Maxwell's Equations
18. Unification II—Electromagnetism and Light
19. Vibrations and Waves
20. Sound Waves and Light Waves
21. The Atomic Hypothesis
22. Energy in Systems—Heat and Thermodynamics
23. Heat and the Second Law of Thermodynamics
24. The Grand Picture of Classical Physics

TTC Video : Change and Motion - Calculus Made Clear

Change and Motion - Calculus Made Clear

This course is crafted to make the key concepts and triumphs of calculus accessible to nonmathematicians. It requires only a basic acquaintance with beginning high-school level algebra and geometry. This series is not designed as a college calculus course; rather, it will help you see calculus around you in the everyday world

1. Two Ideas, Vast Implications
2. Stop Sign Crime—The First Idea of Calculus—The Derivative
3. Another Car, Another Crime—The Second Idea of Calculus—The Integral
4. The Fundamental Theorem of Calculus
5. Visualizing the Derivative—Slopes
6. Derivatives the Easy Way—Symbol Pushing
7. Abstracting the Derivative—Circles and Belts
8. Circles, Pyramids, Cones, and Spheres
9. Archimedes and the Tractrix
10. The Integral and the Fundamental Theorem
11. Abstracting the Integral—Pyramids and Dams
12. Buffon’s Needle or ? from Breadsticks
13. Achilles, Tortoises, Limits, and Continuity
14. Calculators and Approximations
15. The Best of All Possible Worlds—Optimization
16. Economics and Architecture
17. Galileo, Newton, and Baseball
18. Getting off the Line—Motion in Space
19. Mountain Slopes and Tangent Planes
20. Several Variables—Volumes Galore
21. The Fundamental Theorem Extended
22. Fields of Arrows—Differential Equations
23. Owls, Rats, Waves, and Guitars
24. Calculus Everywhere

TTC Video : Mathematics from the Visual World

Mathematics from the Visual World

Mathematics from the Visual World, taught by veteran Teaching Company Professor Michael Starbird of The University of Texas at Austin, takes Plato's dictum to heart and introduces you to the terms, concepts, and astonishing power of geometry. In 24 richly illustrated lectures, you learn that geometry is everywhere. It is the key to scientific disciplines from cosmology to chemistry. It is central to art and architecture. It provides deep insights into algebra, calculus, and other mathematical fields. And it is stunning to contemplate in its beauty.

Course Lecture Titles
24 Lectures
30 minutes / lecture

01.Seeing with Our Eyes, Seeing with Our Minds
02.Congruence, Similarity, and Pythagoras
03.The Circle
04.Centers of Triangles
05.Surprising Complexity of Simple Triangles
06.Clever Constructions
07.Impossible Geometry—Squaring the Circle
08.Classic Conics
09.Amazing Areas
10.Guarding Art Galleries
11.Illusive Perspective
12.Planes in Space
13.Cooling Towers and Hyperboloids
14.A Non-Euclidean Spherical World
15.Hyperbolic Geometry
16.The Dark Night Sky Paradox
17.The Shape of the Universe
18.The Fourth Dimension
19.Patterns of Patterns
20.Aperiodic Tilings and Chaotic Order
21.The Mandelbrot and Julia Sets
22.Pathways to Graphs
23.A Rubber-Sheet World
24.The Shape of Geometry

TTC Video : Secret of Mental Math

Secret of Mental Math

Quick: What's 25 × 45? How about 742 × 300? Or 4821 ÷ 9? Most of us, when faced with math problems like these, immediately reach for a calculator or a pen.
But imagine if you could perform these and other seemingly difficult—but surprisingly easy—calculations right in your head. Seems like an impossible feat? It's not.
One key to improving and expanding your math potential—whether you're a corporate executive or a high-school student—lies in the powerful ability to perform mental math calculations. Solving basic math problems in your head is a gateway to success in understanding and mastering higher mathematical fields such as algebra, statistics, and calculus. It's a skill that offers other lifelong benefits.

Including
- giving you a competitive edge in school or at work;
- keeping your mind active and sharp at any age;
- improving your performance on standardized tests; and
- learning to solve problems by using a variety of methods.

Mental mathematics also is valuable when you're shopping for groceries or figuring out how much to tip at a restaurant. And perhaps the best part? Learning how to do mental math can be fun—especially when you're learning in the company of Professor Arthur T. Benjamin of Harvey Mudd College, one of the most engaging and entertaining members of The Great Courses faculty. The Secrets of Mental Math, his exciting new 12-lecture course, guides you through all the essential skills, tips, and tricks for improving and enhancing your ability to solve a range of mathematical problems right in your head.

TTC Video : The Art and Craft of Mathematical Problem Solving

The Art and Craft of Mathematical Problem Solving

In 24 mind-enriching lectures, The Art and Craft of Mathematical Problem Solving conducts you through scores of problems—at all levels of difficulty—under the inspiring guidance of award-winning Professor Paul Zeitz of the University of San Francisco, a former champion "mathlete" in national and international math competitions and a firm believer that mathematical problem solving is an important skill that can be nurtured in practically everyone.

These are not mathematical exercises, which Professor Zeitz defines as questions that you know how to answer by applying a specific procedure. Instead, problems are questions that you initially have no idea how to answer. A problem by its very nature requires exploration, resourcefulness, and adventure—and a rigorous proof is less important than no-holds-barred investigation.

Think More Lucidly, Logically, Creatively

Not only is solving such problems fun, but the techniques you learn come in handy whenever you are presented with an unfamiliar problem in mathematics, giving you the confidence to try different approaches until you make a breakthrough. Also, by learning a range of different problem-solving approaches in algebra, geometry, combinatorics, number theory, and other fields, you see how all of mathematics is tied together, and how techniques in one area can be used to solve problems in another.

Furthermore, entertaining math problems sharpen the mind, stimulating you to think more lucidly, logically, and creatively and allowing you to tackle intellectual challenges you might never have imagined.

And for those in high school or college, this course serves as an enriching mathematical experience, equal to anything available in the top schools. Professor Zeitz is a masterful coach of math teams at every level of competition, from beginners through international champions, and he knows how to inspire, encourage, and instruct. 

01. Problems versus Exercises
02. Strategies and Tactics
03. The Problem Solver’s Mind-Set
04. Searching for Patterns
05. Closing the Deal—Proofs and Tools
06. Pictures, Recasting, and Points of View
07. The Great Simplifier—Parity
08. The Great Unifier—Symmetry
09. Symmetry Wins Games!
10. Contemplate Extreme Values
11. The Culture of Problem Solving
12. Recasting Integers Geometrically
13. Recasting Integers with Counting and Series
14. Things in Categories—The Pigeonhole Tactic
15. The Greatest Unifier of All—Invariants
16. Squarer Is Better—Optimizing 3s and 2s
17. Using Physical Intuition—and Imagination
18. Geometry and the Transformation Tactic
19. Building from Simple to Complex with Induction
20. Induction on a Grand Scale
21. Recasting Numbers as Polynomials—Weird Dice
22. A Relentless Tactic Solves a Very Hard Problem
23. Genius and Conway’s Infinite Checkers Problem
24. How versus Why—The Final Frontier

TTC Video : What Are the Chances - Probability Made Clear

What Are the Chances - Probability Made Clear

Life is full of probabilities. Every time you choose something to eat, you deal with probable effects on your health. Every time you drive your car, probability gives a small but measurable chance that you will have an accident. Every time you buy a stock, play poker, or make plans based on a weather forecast, you are consigning your fate to probability.

What Are the Chances? Probability Made Clear helps you understand the random factors that lurk behind almost everything-from the chance combinations of genes that produced you to the high odds that the waiting time at a bus stop will be longer than the average time between buses if they operate on a random schedule. 

In 12 stimulating half-hour lectures, you will explore the fundamental concepts and fascinating applications of probability.

01. Our Random World - Probability Defined
02. The Nature of Randomness
03. Expected Value - You Can Bet on It
04. Random Thoughts on Random Walks
05. Probability Phenomena of Physics
06. Probability Is in Our Genes
07. Options and Our Financial Future
08. Probability Where We Dont Expect It
09. Probability Surprises
10. Conundrums of Conditional Probability
11. Believe It or Not - Bayesian Probability
12. Probability Everywhere

Math Tuor : Physics 2 Vol 2

Physics Help: The Ultimate Physics 2 Tutor, Volume 2  (Oscillations and Waves)

Total DVD Run Time: 12 Hours

DVD Chapter Index

Disk 1
Section 1: Oscillations and Simple Harmonic Motion - Part 1
Section 2: Oscillations and Simple Harmonic Motion - Part 2

Disk 2
Section 3: Conservation of Energy in Simple Harmonic Motion
Section 4: Pendulums and Resonance
Section 5: Transverse Waves - Part 1

Disk 3
Section 6: Transverse Waves - Part 2
Section 7: Superposition and Interference of Waves
Section 8: Standing Waves and Resonance - Part 1
Section 9: Standing Waves and Resonance - Part 2

Disk 4
Section 10: Speed of Sound Waves
Section 11: Traveling Waves
Section 12: Sound Intensity and Sound Level
Section 13: Doppler Shift

Description
Physics is frequently one of the hardest subjects for students to tackle because it is a combination of two of the toughest subjects for most students: Math and Word Problems.

If you understand the math but don't do well in word problems then you will have trouble. And if you understand the word problem but have no idea where to begin with the math, again, you will not do well.

The Ultimate Physics 2 Tutor, Volume 2 is a focuses on Oscillations and Waves and begins at the very beginning assuming the student has never been exposed to this material. The course then proceeds to introduce new topics in an easy-to-understand fashion. The course is a 4 DVD series, 12 full hours in duration, and contains 13 chapters of material so you can be assured that all of the core topics are covered in detail. What sets this DVD apart from the rest is that the concepts are taught entirely through example problems. The easiest way to learn Physics is to work problems as you learn the material - and that is exactly what this 4 DVD series provides. You will immediately improve your problem-solving skills which will help on homework and exams, and you will have a reference for many of the commonly asked problems in Physics. If you have a problem with your homework, simply find a similar problem fully worked on the Ultimate Physics Tutor!

Math Tutor : Calculus 3 Vol 1

Calculus Help: The Calculus 3 Tutor: Volume 1

Disk 1Section 1: 3D Cartesian Coordinates
Section 2: Introduction To Vectors
Section 3: The Vector Dot Product
Section 4: The Vector Cross Product
Section 5: Vector Valued Functions

Disk 2Section 6: Multivariable Functions And Partial Derivatives
Section 7: The Chain Rule For Partial Derivatives
Section 8: The Directional Derivative

Disk 3Section 9: The Gradient
Section 10: Double Integrals
Section 11: Double Integrals In Polar Coordinates

DescriptionCalculus 3 is considered by most to be a very difficult course to master in the realm of Calculus.  This is because you will learn about many different topics, and each topic builds on the previous.  If you don't understand something early on, the chances of "catching up" are drastically reduced as time goes on.

Most topics in calculus 3 are challenging because almost all of the problems are 3-dimenstional in nature.  It takes time for the student to master how to visualize the problems in order to solve them.  Once this is done, things are much easier.  This DVD course teaches by example and you gain practice immediately with this visualization and problem solving techniques.

The Times Education Series : GCSE Biology

GCSE Biology

The GCSE Biology CD is an invaluable resource for any student taking this subject. Superb animations are instrumental in explaining concepts, interactive exercises offer opportunity for practice, and mock exams help to prepare students for the final exam. The package is well presented, thoroughly comprehensive and is suitable for students studying GCSE Biology as a single subject and/or those doing a Science Double Award. The program is divided into three sections, covering Life Processes and Green Plants, Humans as Organisms and Variation, Inheritance and Evolution.

The Times Education Series : GCSE Physics

GCSE Physics

The GCSE Physics CD is an invaluable resource for any student taking this subject. Superb animations are instrumental in explaining concepts, interactive exercises offer opportunity for practice, simulated lab experiments reinforce theoretical examples and mock exams help to prepare students for the final exam. The package is well presented, thoroughly comprehensive and is suitable for students studying GCSE Physics as a single subject and / or those doing a Science Double Award. The program is divided into four sections, covering Forces & Motion, Electricity & Magnetism, Matter, the Earth, the Stars & the Planets, Waves & Optics.

-Velocity
- Acceleration
- Elasticity
- Moments
- Pressure
- Graphical Methods
- Density
- Momentum
- Circular Motion
- Projectiles

- Stars
- Planets
- The Earth
- The Moon
- The Sun
- Energy
- Resources
- Life Cycles of Stars
- Origin of the Universe
- Seasons
- Nuclear Engery

- Electric Circuits and Power
- Ohm's Law
- Variable and Non Linear Resistors
- Electricity in the home
- Structure of Atoms
- Electric Charge
- Magnets
- Motors
- Transformers
- National Grid

- Reflection
- Diffraction
- Interference
- Longitudinal and Transverse Waves
- Radio Waves
- Wave Velocity
- Theory of Colour
- XRays
- Gamma Rays
- Electromagnetic Spectrum
- Refraction of Light
- Amplitude
- wave Length
- Frequency & Velocity

The Times Education Series : GCSE Maths

GCSE Maths

 The GCSE Maths package is divided into two sections entitled Shape, Space & Number and Algebra & the Handling of Data. To help students absorb the material covered in each section and to maintain interest in the program, a range of questions is put forth in various manners. "Drag and Drop" exercises, numerical calculations and multiple-choice questions are a few examples of the activities that students will encounter when using this CD. Mock exams allow students to test themselves and concentrate on those sections they need more practice in. Immediate feedback and worked solutions are provided. The material on the CD incredibly comprehensive.

- Pythagoaras' Rule
- Right Angled Triangles
- 3D Geometry
- Sine and Cosine Rules
- Geometry of a circle
- Shape, Area and Volume
- Vectors and Matrices
- Transformations
- Advanced Number
- Foundations of algebra
- Graphical Methods
- Use of Charts
- Probability
- Statistics
- Interpreting Data
- Non-linear equations
- Trial and Improvement Methods
- Collection, Analysis and Representation of Data

The Times Education Series : GCSE Chemistry

GCSE Chemistry

The GCSE Chemistry CD is an invaluable resource for any student taking this subject. Superb animations are instrumental in explaining concepts, interactive exercises offer opportunity for practice, simulated lab experiments reinforce theoretical examples and mock exams help to prepare students for the final exam. The package is well presented, thoroughly comprehensive and is suitable for students studying GCSE Chemistry as a single subject and/or those doing a Science Double Award. The program is divided into three sections, covering Classifying Materials, Changing Materials and Patterns of Behaviour.

The Standard Deviants : Chemistry

Chemistry

Whether you need help with high school chemistry, need to review for a college chemistry class, or you're studying for the AP Chemistry Exam, the Standard Deviants can help! The Standard Deviants will help you "bond" with the material as this chemistry tutorial demonstrates the states and properties of matter, atomic and molecular weight, thermochemistry, Lewis structures, VSPER Theory, molarity and molality, and much more.

The Standard Deviants : Geometry

Geometry

If Geometry has you running in circles, the Standard Deviants can help! The Standard Deviants cover everything from basic geometry - such as lines, points, angles and triangles - to high school geometry, where you'll learn the different types of theorems and postulates you'll need to tackle those tricky proofs.

Program 1 Geometry Basics

Program 2  Geometry Angles

Program 3 Geometry Triangles

Program 4 Geometry Special Triangles 

Program 5 The Pythagorean Theorem

Program 6 Figuring out Area

The Standard Deviants : Trigonometry

Trigonometry

Does the Pythagorean Theorem sound like greek to you? Confusing sine with astrological sign? The Standard Deviants are more fun than a textbook and cheaper than hiring a tutor! This trigonometry tutorial will guide you through the twisted world of the Pythagorean Theorem, sines, cosines, tangents, amplitude, curves, double-angle formulas, sum-to-product-formulas and identities, and more!

Program 1 The Basics

Program 2 Trigonometry Functions 

Program 3 Triangles

Program 4 Graphing Functions

Program 5 Identities 

Program 6 Angle Formulas 

The Standard Deviants : Pre-Calculus

Pre-Calculus

Created as a follow-up to our algebra series and an introduction to the principles of calculus, these programs will help you understand rational functions, systems of linear equations, exponentials and logs. The Standard Deviants illustrate the most difficult concepts with computer graphics, a relaxed format and several real-world examples from the fields of biology, economics and physics.

Program 1 Rational Functions

Program 2 Graphing Functions

Program 3 Solving Systems

Program 4 Exponential Functions 

Program 5 Exponent Applications

Program 6 Logarithms

Program 7 Solving Log Equations 

Chalk Dust Productions : Statistics

Statistics

Lecture titles (total time nearly 20 hours):

1.1 - What is Statistics
1.2 - Random Samples
1.3 - Introduction to Experimental Design
2.1 - Bar Graphs, Circle Graphs, and Time-Series Graphs
2.2 - Frequency Distributions, Histograms, and Related Topics
2.3 - Stem-and-Leaf Displays
3.1 - Measures of Central Tendency - Mode, Median, and Mean
3.2 - Measures of Variation
3.3 - Mean and Standard Deviation of Grouped Data
3.4 - Percentiles and Box-and-Whisker Plots
4.1 - What is Probability
4.2 - Some Probability Rules - Compound Events
4.3 - Trees and Counting Techniques
5.1 - Introduction to Random Variables and Probability Distributions
5.2 - Binomial Probabilities
5.3 - Additional Properties of Binomial Distribution
5.4 - The Geometric and Poisson Probability Distributions
6.1 - Graphs of Normal Probability Distributions
6.2 - Standard Units and Areas Under the Standard Normal Distribution
6.3 - Areas Under Any Normal Curve
6.4 - Normal Approximation to the Binomial Distribution
7.1 - Sampling Distributions
7.2 - The Central Limit Theorem
7.3 - Sampling Distributions for Proportions
8.1 - Estimating u when o is Known
8.2 - Estimating u when o is Unknown
8.3 - Estimating p in the Binomial Distribution
8.4 - Choosing the Sample Size
8.5 - Estimating u1-u2 and p1-p2
9.1 - Introduction to Statistical Tests
9.2 - Testing the Mean m
9.3 - Testing a Proportion p
9.4 - Tests Involving Paired Differences (Dependent Samples)
9.5 - Testing m1-m2 and p1-p2 (Independent Samples)
10.1 - Scatter Diagrams and Linear Correlation
10.2 - Linear Regression and the Coefficient of Determination
10.3 - Inferences for Correlation and Regression
10.4 - Multiple Regression
11.1 - Chi-Square - Tests of Independence
11.2 - Chi Square - Goodness of Fit
11.3 - Testing and Eliminating a Single Variance or Standard Deviation
11.4 - Testing Two Variances
11.5 - One-Way ANOVA - Comparing Several Sample Means
11.6 - Introduction to Two-Way ANOVA
12.1 - The Sign Test for Matched Pairs
12.2 - The Rank-Sum Test
12.3 - Spearman Rank Correlation
12.4 - Runs Test for Randomness

Chalk Dust Productions - Basic College Mathematics

Basic College Mathematics

Chapter 1 Whole Numbers
1.1 Introduction to Whole Numbers
1.2 Addition of Whole Numbers
1.3 Subtraction of Whole Numbers
1.4 Multiplication of Whole Numbers
1.5 Division of Whole Numbers
1.6 Exponential Notation and the Order of Operations Agreement
1.7 Prime Numbers and Factoring

Chapter 2 Fractions
2.1 The Least Common Multiple and Greatest Common Factor
2.2 Introduction to Fractions
2.3 Writing Equivalent Fractions
2.4 Addition of Fractions and Mixed Numbers
2.5 Subtraction of Fractions and Mixed Numbers
2.6 Multiplication of Fractions and Mixed Numbers
2.7 Division of Fractions and Mixed Numbers
2.8 Order, Exponents, and the Order of Operations Agreement

Chapter 3 Decimals
3.1 Introduction to Decimals
3.2 Addition of Decimals
3.3 Subtraction of Decimals
3.4 Multiplication of Decimals
3.5 Division of Decimals
3.6 Comparing and Converting Fractions and Decimals

Chapter 4 Ratio and Proportion
4.1 Ratio
4.2 Rates
4.3 Proportions

Chapter 5 Percents
5.1 Introduction to Percents
5.2 Percent Equations - Part I
5.3 Percent Equations - Part II
5.4 Percent Equations - Part III
5.5 Percent Problems - Proportion Method

Chapter 6 Applications for Business and Consumers
6.1 Applications to Purchasing
6.2 Percent Increase and Percent Decrease
6.3 Interest
6.4 Real Estate Expenses
6.5 Car Expenses
6.6 Wages
6.7 Bank Statements

Chapter 7 Statistics and Probability
7.1 Pictographs and Circle Graphs
7.2 Bar-Graphs and Broken-Line Graphs
7.3 Histograms and Frequency Polygons
7.4 Statistical Measures
7.5 Introduction to Probability

Chapter 8 U.S. Customary Units of Measurement
8.1 Length
8.2 Weight
8.3 Capacity
8.4 Time
8.5 Energy and Power

Chapter 9 The Metric System of Measurement
9.1 Length
9.2 Mass
9.3 Capacity
9.4 Energy
9.5 Conversion Between the US Customary and the Metric Systems of Measurement

Chapter 10 Rational Numbers
10.1 Introduction to Integers
10.2 Addition and Subtraction of Integers
10.3 Multiplication and Division of Integers
10.4 Operations with Rational Numbers
10.5 Scientific Notation and the Order of Operations Agreement

Chapter 11 Introduction to Algebra
11.1 Variable Expressions
11.2 Introduction to Equations
11.3 General Equations - Part I
11.4 General Equations - Part II
11.5 Translating Verbal Expressions into Mathematical Expressions
11.6 Translating Sentences into Equations and Solving

Chapter 12 Geometry
12.1 Angles, Lines, and Geometric Figures
12.2 Plane Geometric Figures
12.4 Volume
12.5 The Pythagorean Theorem
12.6 Similar and Congruent Triangles

Math Tutor : Physics 2 Vol 1

Physics Help: The Ultimate Physics 2 Tutor, Volume 1  (Thermodynamics)

Total DVD Run Time: 10 Hours

DVD Chapter Index

Disk 1
Section 1: Thermometers and Temperature Scales
Section 2: Expansion and Contraction of Solids and Liquids
Section 3: Kinetic Theory of Gases

Disk 2
Section 4: Heat
Section 5: Latent Heat and Phase Change
Section 6: Heat Transfer by Convection, Radiation, and Conduction
Section 7: Work, Heat, and PV Diagrams

Disk 3
Section 8: The First Law of Thermodynamics
Section 9: Heat Engines and the Second Law of Thermodynamics
Section 10: Refrigerators
Section 11: Entropy

Description
Physics is frequently one of the hardest subjects for students to tackle because it is a combination of two of the toughest subjects for most students: Math and Word Problems.

If you understand the math but don't do well in word problems then you will have trouble. And if you understand the word problem but have no idea where to begin with the math, again, you will not do well.

The Ultimate Physics 2 Tutor, Volume is a focuses on Thermodynamics and begins at the very beginning assuming the student has never been exposed to this material. The course then proceeds to introduce new topics in an easy-to-understand fashion. The course is a 3 DVD series, 10 full hours in duration, and contains 11 chapters of material so you can be assured that all of the core topics are covered in detail. What sets this DVD apart from the rest is that the concepts are taught entirely through example problems. The easiest way to learn Physics is to work problems as you learn the material - and that is exactly what this 2 DVD series provides. You will immediately improve your problem-solving skills which will help on homework and exams, and you will have a reference for many of the commonly asked problems in Physics. If you have a problem with your homework, simply find a similar problem fully worked on the Ultimate Physics Tutor!

MathTutor : Physics 1

Physics Help: The Ultimate Physics Tutor  (Newtonian Motion)

Total DVD Run Time: 11 Hours

DVD Chapter Index

Disk 1:
Section 1: Velocity And Acceleration In One Dimension
Section 2: Equations Of Motion In One Dimension
Section 3: Scalars And Vectors
Section 4: Projectile Motion
Section 5: Newton's Laws Of Motion
Section 6: Newton's Laws Of Motion With Friction
Section 7: Work
Section 8: Kinetic Energy And The Work-Energy Theorem
Section 9: Potential Energy And Energy Conservation
Section 10: Power

Disk 2:Section 11: Momentum And Impulse
Section 12: Conservation Of Momentum
Section 13: Inelastic And Elastic Collisions
Section 14: Angular Speed And Angular Acceleration
Section 15: Rotational Equations Of Motion
Section 16: Tangental Speed And Centripetal Force
Section 17: Gravitation And Kepler's Laws Of Motion
Section 18: Torque
Section 19: Rotational Equilibrium
Section 20: Angular Acceleration & Moment Of Inertia
Section 21: Angular Momentum
Section 22: Density And Pressure
Section 23: They Buoyant Force
Section 24: The Bernoulli Equation

Description
Physics is frequently one of the hardest subjects for students to tackle because it is a combination of two of the toughest subjects for most students: Math and Word Problems.

If you understand the math but don't do well in word problems then you will have trouble. And if you understand the word problem but have no idea where to begin with the math, again, you will not do well.

The Ultimate Physics Tutor is a complete Physics course that begins at the very beginning assuming the student has never seen a physics equation. The course then proceeds to introduce new topics in an easy-to-understand fashion. The course is a 2 DVD series, 11 full hours in duration, and contains 24 chapters of material so you can be assured that all of the core topics are covered in detail. What sets this DVD apart from the rest is that the concepts are taught entirely through example problems. The easiest way to learn Physics is to work problems as you learn the material - and that is exactly what this 2 DVD series provides. You will immediately improve your problem-solving skills which will help on homework and exams, and you will have a reference for many of the commonly asked problems in Physics. If you have a problem with your homework, simply find a similar problem fully worked on the Ultimate Physics Tutor!

Math Tutor : Unit Conversion

The Unit Conversion Tutor

Total DVD Run Time: 4 Hours

DVD ContentsSection 1 - Scientific Notation
Section 2 - The Metric System and SI Units
Section 3 - Unit Conversions Involving Length
Section 4 - Unit Conversions Involving Area
Section 5 - Unit Conversions Involving Volume
Section 6 - Unit Conversions Involving Speed
Section 7 - Unit Conversions Involving Mass and Weight
Section 8 - Unit Conversions Involving Density

Description
Unit conversions are used in every branch of math and science including Algebra, Calculus, Physics, and Chemistry.  In the  course of solving problems the student will need to convert  between various units in order to solve the problem.  For example, if solving a Physics problem it may be necessary to convert  between centimeters per second to kilometers per hour in order  to correctly solve the problem.

This DVD course teaches the techniques of the most common unit conversions by fully worked example problems.  This DVD is not intended to be a reference DVD for all conversion factors that you will see in your classes.  More importantly, the strategy associated with unit conversions is emphasized such that the student will be comfortable applying any conversion factor necessary to solve the problem -- even those not found on this disk.

Math Tutor : Probability & Statistic

Probability Help: The Probability and Statistics Tutor

Total DVD Run Time: 10 Hours

Disk 1Section 1: Permutations
Section 2: Combinations
Section 3: Fundamentals of Probability
Section 4: Addition Rules of Probability

Disk 2Section 5: Conditional Probability
Section 6: Bayes' Theorem
Section 7: Mathematical Expectation
Section 8: Mean, Median, and Mode
Section 9: Standard Deviation and Variance
Section 10: Random Variables and Introduction to Probability Distributions

Disk 3Section 11: The Binomial Probability Distribution
Section 12: Mean and Standard Deviation of the Binomial Distribution
Section 13: The Poisson Probability Distribution
Section 14: The Normal Probability Density

DescriptionProbability and Statistics usually gives students problems in the beginning because all of the problems are word problems that require the student to read and truly comprehend what is being asked before any solution can be attempted.  This DVD tutorial lends help in probability and statistics just as if you hired a personal tutor in your home.  Every probability video lesson is taught by fully worked example problems that help you not only do well in class - but truly understand the material.  If you need probability help or a probability tutor that will make learning probability easy and painless, the Probability and Statistics Tutor will provide the tools you need to succeed.

Math Tutor : Calculus 3 Vol 2

Calculus Help: The Calculus 3 Tutor: Volume 2

Disk 1Section 1: Triple Integrals
Section 2: Triple Integrals In Cylindrical Coordinates

Disk 2Section 3: Triple Integrals In Spherical Coordinates
Section 4: Divergence And Curl Of A Vector Field
Section 5: Line Integrals

Disk 3Section 6: Line Integrals In A Vector Field
Section 7: Alternative Form Of Line Integrals In Vector Fields
Section 8: Fundamental Theorem Of Line Integrals

Disk 4Section 9: Green's Theorem
Section 10: Surface Integrals
Section 11: Flux Integrals
Section 12: Stokes Theorem
Section 13: The Divergence Theorem

DescriptionCalculus 3 is considered by most to be a very difficult course to master in the realm of Calculus.  This is because you will learn about many different topics, and each topic builds on the previous.  If you don't understand something early on, the chances of "catching up" are drastically reduced as time goes on.

Most topics in calculus 3 are challenging because almost all of the problems are 3-dimenstional in nature.  It takes time for the student to master how to visualize the problems in order to solve them.  Once this is done, things are much easier.  This DVD course teaches by example and you gain practice immediately with this visualization and problem solving techniques.

Math Tutor : Calculus 2

Calculus Help: The Advanced Calculus 2 Tutor

Chapter Index
Disk 1
Section 1: Inverse Trigonometric Functions
Section 2: Derivatives of Inverse Trigonometric Functions
Section 3: Hyperbolic Functions
Section 4: Inverse Hyperbolic Functions
Section 5: L'Hospital's Rule
Section 6: Trigonometric Integrals

Disk 2Section 7: Integration By Partial Fractions
Section 8: Arc Length
Section 9: Area Of A Surface Of Revolution
Section 10: Parametric Equations
Section 11: Arc Length In Parametric Equations
Section 12: Surface Area Of Revolution In Parametric Equations

Disk 3Section 13: Polar Coordinates
Section 14: Polar Equations
Section 15: Area And Length In Polar Coordinates
Section 16: Sequences

Disk 4Section 17: Series
Section 18: Integral Test Of Series Convergence
Section 19: Comparison Tests Of Series Convergence
Section 20: Alternating Series Test Of Convergence
Section 21: Ratio and Root Test Of Series Convergence

Description
Calculus 2 is considered by most to be the hardest Universtiy Calculus course in the sequence, even most challenging for most students than Calculus 3.  This is because you will learn about many different topics, most of which have nothing to do with another.  For many, it feels like you are learning about a hodgepodge of integration techniques, sequences and series convergence rules and techniques, with new concepts such as parametric equations and polar integrals throw in for good measure.    The "Advanced Calculus 2 Tutor" is a 14 Hour Course that teaches you these concepts and more with step-by-step example problems.

Our calculus video tutor lectures are based on a singular principle - and that is the fact that if a student needs help with calculus, the task of learning becomes much easier when the calculus lectures are taught by someone who understands the frustration of a new student who is just starting out with this subject.

No matter if you are in business calculus, if you are a mathematics major, if you are a high school calculus student, a homeschooled calculus student, or an engineering student, our calculus video lectures will help you learn calculus.  We back up this claim with a money back guarantee! 

If you need calculus help, you'll be interested to know that every single calculus video lecture features numerous solutions to calculus problems that you are likely to encounter in class.  Furthermore, our lectures do not only deal with the easier calculus problems.  Our calculus lectures feature calculus problems of all complexities ranging from the elementary problems all the way to the challenging problems that you will likely find on your exams.

You will also find that our calculus video lectures serve as a fantastic reference for calculus solutions as you work through homework problems.  In many cases it is very helpful to see a similar problem worked out in detail as a guide to your own homework problems.  When viewing a solution to a similar problem in calculus, it can in many cases help you turn the corner in discovering the solution to your homework problems.

Whether you need help with derivatives, help with integrals, general calculus instruction, or simply a calculus video tutorial lecture to supplement your lecture in the classroom, our the Calculus Tutor DVD will definitely help you improve your grades

Math Tutor : Calculus 1

The Calculus 1 & 2 Tutor -- Single Variable Calculus -- Learn Calculus Solutions Step By Step

Single Variable Calculus 1 is not hard if it is explained in the right way.

Upon viewing our lectures you will find that finding calculus solutions to problems doesn't have to be a difficult task!

Chapter Index

Disk 1
Section 1: What Is A Derivative?
Section 2: The Derivative Defined As A Limit
Section 3: Differentiation Formulas
Section 4: Derivatives Of Trigonometric Functions
Section 5: The Chain Rule
Section 6: Higher Order Derivatives
Section 7: Related Rates
Section 8: Curve Sketching Using Derivatives

Disk 2
Section 9: Introduction To Integrals
Section 10: Solving Integrals
Section 11: Integration By Substitution
Section 12: Calculating Volume With Integrals
Section 13: Derivatives and Integrals Of Exponentials
Section 14: Derivatives Of Logarithms
Section 15: Integration By Parts
Section 16: Integration By Trig Substitution
Section 17: Improper Integrals

Description
Calculus can be an intimidating subject.  For many students, even the name sounds intimidating.  The truth is that Calculus is based on a few very powerful principles and once you fully understand those principles all of the additional topics naturally follow.  Most Calculus textbooks begin the subject with a nauseating discussion of limits and then proceed to the introduction of a derivative which is one of the core topics in Calculus.  This DVD series begins the discussion immediately with the concept of the derivative without any math at all and spends some time ensuring that this concept is solidified.  Limits are used to explain the derivative via example problems beause that is how they are defined, but you will not be presented with endless lectures on abstract math topics that are not directly related to the core topics of Calculus.  All of the other topics are taught in the very same manner, relying on the power of learning by working fully narrated example problems in a step-by-step fashion.

Our calculus video tutor lectures are based on a singular principle - and that is the fact that if a student needs help with calculus, the task of learning becomes much easier when the calculus lectures are taught by someone who understands the frustration of a new student who is just starting out with this subject.

No matter if you are in business calculus, if you are a mathematics major, if you are a high school calculus student, a homeschooled calculus student, or an engineering student, our calculus video lectures will help you learn calculus.  We back up this claim with a money back guarantee! 

If you need calculus help, you'll be interested to know that every single calculus video lecture features numerous solutions to calculus problems that you are likely to encounter in class.  Furthermore, our lectures do not only deal with the easier calculus problems.  Our calculus lectures feature calculus problems of all complexities ranging from the elementary problems all the way to the challenging problems that you will likely find on your exams.

You will also find that our calculus video lectures serve as a fantastic reference for calculus solutions as you work through homework problems.  In many cases it is very helpful to see a similar problem worked out in detail as a guide to your own homework problems.  When viewing a solution to a similar problem in calculus, it can in many cases help you turn the corner in discovering the solution to your homework problems.

Whether you need help with derivatives, help with integrals, general calculus instruction, or simply a calculus video tutorial lecture to supplement your lecture in the classroom, our the Calculus Tutor DVD will definitely help you improve your grades.

Math Tutor : Trigonometry & Pre-Calculus

Trigonometry & Pre-Calculus Help: The Trigonometry And Pre-Calculus Tutor

Total DVD Run Time: 5 Hours

Disk 1
Section 1: Complex Numbers
Section 2: Exponential Functions
Section 3: Logarithmic Functions
Section 4: Solving Exponential and Logarithmic Equations
Section 5: Angles

Disk 2
Section 6: Finding Trig Functions Using Triangles
Section 7: Finding Trig Functions Using The Unit Circle
Section 8: Graphing Trig Functions
Section 9: Trig Identities

Description
The Trigonometry And Pre-Calculus Tutor is a 5 hour DVD course geared to fully prepare a student to enter university level Calculus.  Most students that have trouble with Calculus discover quickly that the root cause of their difficulty is actually that they have never mastered essential material in Trigonometry.  For instance, a Calculus textbook will assume that the student is comfortable converting between degrees and radians and can use the unit circle to mentally calculate the Sin of an angle without a calculator.  These topics and many other essential concepts are presented in this DVD course with exceptional clarity so that the student will feel well prepared to move into Calculus and Physics.

Math Tutor : Geometry

Geometry Help: The Geometry Tutor

Total DVD Run Time: 9 Hours

Disk 1
Section 1 - Lines, Rays, and Planes
Section 2 - Working with Angles
Section 3 - Complimentary and Supplementary Angles
Section 4 - Working with Intersecting Lines
Section 5 - Types of Triangles
Section 6 - Congruent Triangles
Section 7 - The Pythagorean Theorem
Section 8 - Introduction to Polygons
 

Disk 2
Section 9 - Quadrilaterals
Section 10 - Similar Triangles
Section 11 - Perimeter

Section 12 - Area of Rectangles
Section 13 - Area of Parallelograms
Section 14 - Area of Triangles
Section 15 - Area of Trapezoids
Section 16 - Area of Prisms
Section 17 - Volume of Prisms and Pyramids
Section 18 - Circles and Circular Figures
Section 19 - Cylinders, Cones, and Spheres
Section 20 - Geometric Proofs

DescriptionThe Geometry Tutor is a 9 hour course spread over 2 DVD disks that will aid the student in the core topics of Geometry.  Geometry is frequently challenging for students because every problem involves a figure that the student must use to solve the problem.  It is very important early on to master the art of reading the geometric figures properly in order to do wellin this subject.  The best way to do this is to introduce the definitions early on and solve problems involving diagrams to give the student this much needed practice.

This DVD contains essential material to do well in Geometry.  In addition, the skills learned in this course will aid the student in more advanced areas of math and science.  Many of the topics in contained in this DVD series are used in other Math courses, such as the Pythagorean Theorem, triangle similarity, and geometric proofs.  These skills are used time again in more advanced courses such as Physics and Calculus.  Each topic in this DVD course is introduced by working example problems, beginning with the easier problems and gradually working the harder ones.  In this way the student immediately gains confidence in his or her abilities and improves homework and exam taking skills.

Math Tutor : Matrix Algebra

Matrix Algebra Help: The Matrix Algebra Tutor

Total DVD Run Time: 7 Hours

Disk 1Section 1: Introduction to Matrices
Section 2: Adding and Subtracting Matrices & Multiplying Matrices by a Scalar
Section 3: Multiplying Matrices
Section 4: Row Equivalent Matrices
Section 5: Gaussian Elimination and Gauss-Jordan Elimination

Disk 2Section 6: Inconsistent and Dependent Systems
Section 7: The Inverse Of A Matrix
Section 8: Solving Systems Using Matrix Inverses
Section 9: Matrix Determinants
Section 10: Cramer's Rule

DescriptionMatrix Algebra usually gives students problems in the beginning because although it has applications in algebra, it looks completely different from any algebra the student has used up to this point.  The material on these DVDs is covered in most advanced high school algebra courses and is definitely covered in a university linear algebra course.  This DVD tutorial lends help in matrix algebra just as if you hired a personal tutor in your home.  Every matrix algebra video lesson is taught by fully worked example problems that help you not only do well in class - but truly understand the material.  If you need linear algebra help that will increase your understanding and improve your grades in linear algebra quickly the Matrix Algebra Tutor will provide the tools you need to succeed.

Math Tutor : Advanced Algebra

Algebra Help: The Advanced Algebra Tutor

Total DVD Run Time: 7 Hours

Disk 1Section 1: Graphs Of Functions
Section 2: Graphs Of Circles
Section 3: Transformations Of Functions
Section 4: Combinations Of Functions
Section 5: Inverses Of Functions
Section 6: Quadratic Functions
Section 7: Zeros Of Polynomials

Disk 2Section 8: Complex Zeros Of Polynomials
Section 9: Graphing Rational Functions
Section 10: Introduction To Sequences
Section 11: Introduction To Series
Section 12: Arithmetic Sequences And Series
Section 13: Geometric Sequences And Series
Section 14: The Binomial Theorem

DescriptionThe Advanced Algebra Tutor is a 7 hour course spread over 2 DVD disks that picks up where the Algebra 2 Tutor DVD ends and continues to teach the student core concepts in Algebra.  The material in this DVD is sometimes taught at the end of Algebra 2 and is always taught in College Algebra.  Every topic is taught by working example problems that begin with the easier problems and gradually progress to the harder problems.  Every problem in taught in step by step detail ensuring that all students understand the content.

The skills learned in this course will aid the student in more advanced areas of math and science.  Many of the topics in contained in this DVD series are used in other Math courses, such as the functions, sequences, and series.  These skills are used time again in more advanced courses such as Physics and Calculus.  The teaching method employed on this DVD ensures that the student immediately gains confidence in his or her abilities and improves homework and exam taking skills.

Math Tutor : Algebra Word Problems

Algebra Help: The Algebra 1 Word Problem Tutor

Total DVD Run Time: 6 Hours

Disc 1
Section 1: Number Problems
Section 2: Digit Problems
Section 3: Problems Involving Averages
Section 4: Coin and Money Problems
Section 5: Age Problems
Section 6: Problems Involving Speed, Distance, and Time

Disc 2
Section 7: Mixture Problems
Section 8: Interest Problems
Section 9: Lever Problems
Section 10: Work Problems
Section 11: Problems Involving Quadratic Equations
Section 12: Problems Involving Geometry

DescriptionThe Algebra Word Problem Tutor is a 6 hour course spread over 2 DVD disks that will aid the student skills needed to master Algebra Word Problems.  Word problems are frequently hard for students to master because you have to learn how to extract the information out of the problem and decide how to proceed with finding the solution - and there are usually many ways to do this! This DVD course teaches by examples how to set up algebra word problems and solve them. It is applicable to any Algebra course, SAT, GRE, and other standardized tests.

This DVD contains essential material necessary to master how to solve word problems in Algebra.  In addition, the skills learned in this course will aid the student in more advanced areas of math and science.  Many of the skills presented in this DVD series are used in other Math courses, such as the Physics and Calculus where word problems are typically asked on exams.  Each topic in this DVD course is introduced by working example problems, beginning with the easier problems and gradually working the harder ones.  In this way the student immediately gains confidence in his or her abilities and improves homework and exam taking skills.