Points and Lines

Media4Math

Can the protons in a hydrogen atom be thought of as geometric elements? In this program the collision of subatomic particles in CERN’s Large Hadron Collider is used to clarify the definition of a point, and the city of Houston, arranged on a grid of parallels and perpendiculars, illustrates why lines are preferred over curves as a way to organize a community. The video also suggests the Parthenon as a good example of how geometric elements—in this case, points, planes, and lines—are employed in architecture. Points in space, collinear and coplanar points, parallel and perpendicular lines, line segments, angles, and planes are all covered. Part of the series Geometry Applications. (32 minutes)

Quadrilaterals

Media4Math

Stonehenge is thought of as being circular, but its structure is made possible by post-and-lintel construction—vertical supports and horizontal spans that create quadrilateral forms. In this program viewers learn why most homes are also made up of quadrilaterals as the concepts of rectangles, squares, parallelograms, trapezoids, and triangles within quadrilaterals are explored. The geometry of architecture is illustrated using Frank Lloyd Wright’s Fallingwater, a landmark easily identified by its motif of rectangular shapes, and by the slanted towers of Puerta de Europa in Spain, that look like they are ready to collapse. Part of the series Geometry Applications. (33 minutes)

The Math Code: Shapes

Open University

To some, Jackson Pollock’s art is a chaotic mass of paint, but those who love his work may be reacting to the fact that the splatters are actually fractals, and thus mirror the patterns of the natural world. In this program, Professor Marcus de Sautoy explores recurring shapes found in nature and the geometric principles that unite them. He reveals that the stones of the Giant’s Causeway are six-sided for the same reason that honeycombs are, and explains why soap bubbles are spheres—except when they’re dodecahedrons. In addition, a Pixar cofounder shows how Mandelbrot’s theories were used to create the first virtual worlds. Produced by the Open University. Part of the series The Math Code. (60 minutes)

The Math Code: Prediction

Open University

For a few weeks every year starlings migrate, creating shifting, synchronized formations of nearly a million birds that flow across the sky like a well-choreographed dance. How does each bird anticipate where its neighbor will fly? Studying data from Google allows analysts to predict flu outbreaks—so why can’t weather be forecast more than a few days in advance? And if winning a game of Rock, Paper, Scissors depends on random chance, how is it that some people continually beat the odds? In this program, Professor Marcus de Sautoy discusses mathematical models that help predict outcomes, touching on game theory, chaos theory, and the butterfly effect. Produced by the Open University. Part of the series The Math Code. (60 minutes)

Curve Sketching

Goldhil Home Media International

How does art figure into calculus? This program illustrates applications of the derivative through graphing. Ably assisted by the Voice of Common Sense, elements such as critical points, points of inflection, extreme values, increasing and decreasing curves, and concavity are all plotted out, with abundant sample problems. (23 minutes)

Damping: Simple Harmonic Motion

Skillbank Solutions Ltd

This program investigates how the mathematical model of simple harmonic motion becomes more complex through the introduction of damping. The application of simple modeling techniques to create homogeneous linear second-order differential equations is illustrated. (44 minutes)

Understanding Ratio and Proportion

ClickView Pty Limited

The house painting project calls for sky blue, but all Jess’s mom gave her are dark blue and white. Using that problem as a starting point, this program distinguishes ratios from proportions and explains the concepts of simplest form and equivalent ratios. By the video’s end, viewers will have a thorough understanding of ratios and proportions: what they are, how to work with them, and how they can be applied in everyday situations. A part of the series Math. (16 minutes)

Forces and Motion

Cambridge Educational

In New York City, there are many ways to travel. Of course, it’s a lot easier if you’re a bird. Using the Big Apple as a living laboratory, this program addresses speed and distance using a pigeon, a taxi, and a tour boat. Additional situations, such as the deployment of a Mars rover, a zero-G flight in NASA’s Weightless Wonder, a walk on a conveyor belt and a cruising aircraft carrier, and juggling on the Earth and around the solar system, provide opportunities to study the mechanics of velocity and acceleration as well as contact forces and forces that act at a distance. Vector algebra is demonstrated throughout. A viewable/printable instructor’s guide is available online. A Films for the Humanities & Sciences Production. A part of the series Physics in Action. (24 minutes)

Fractals: The Colors of Infinity

Gordon Films

The Mandelbrot set-someone has called it the thumbprint of God-is one of the most beautiful and remarkable discoveries in the entire history of mathematics. With Arthur C. Clarke as narrator and interviews with a number of notable mathematicians, including Benoit Mandelbrot, this program graphically illustrates how simple formulas can lead to complicated results: it explains the set, what it means, its internal consistency, and the revolutions in thought resulting from its discovery. Asked if the real universe goes on forever, Stephen Hawking defines its limit of smallness; the Mandelbrot set, on the other hand, may go on forever. (52 minutes)

Fractions

Agency for Instructional Technology

This video describes the meaning of fractions and how to solve problems involving sums and products. Dramatized segments and computer animations focus on adjusting ingredient amounts to vary the yield of recipes at a bakery; deciding whether to hire an untrained worker at a bike shop by projecting overtime wages and short-term productivity loss; and learning to read musical notation including fractional measures. (20 minutes)

Ratios

Agency for Instructional Technology

This video describes how to identify and form equivalent ratios and ratio tables, express ratios as both fractions and decimals, and interpret map scales to calculate distances. Dramatized segments and computer animations show ways to determine which combinations of a mountain bike's gears provide the most power and speed; custom-design a roof at a construction office to create a high attic ceiling; and interpret a map to decide if there is enough time to drive the distance to a rock concert. (20 minutes)

The Story of 1: How a Single Digit Created Math and Changed the World

Impossible Pictures

The humble digit 1 has in actuality been the prime mover in creating the entire concept of mathematics—and a surprisingly large force in the shaping of world history. This very clever video hosted by the irrepressible Terry Jones of Monty Python fame tells the entire story of 1 and how, with 0, it has come to dominate society through digital technology. Landmark developments—addition and subtraction in Sumer, measurement in Egypt, geometry in Greece, Roman numerals in Rome, “Arabic” numbers in India, and more—are spotlighted. In addition, pivotal figures including Pythagoras, Archimedes, al-Khuwarizmi, Fibonacci, and Leibniz are introduced. Recommended for grades 6-18. (60 minutes)

Pierre Teilhard de Chardin: The Wings of Spirit

10 Francs

He was a philosopher, paleontologist, Jesuit priest-and far more than the sum of these disparate labels. Illuminating the life and work of Pierre Teilhard de Chardin, this program examines his origins, his difficulties with Catholic orthodoxy, and his legacy as a major contributor to the "living Earth" theory. Interviewing scientists and religious leaders influenced by Teilhard, the program describes his anthropological achievements and explains concepts he invented-such as the noosphere and the Omega point-that helped to establish the Gaia hypothesis and similar worldviews. The result is an engaging portrait of a visionary whose ideas remain relevant in today's debate over intelligent design. (60 minutes)

Inequalities

Media4Math

Venice has been prone to flooding for hundreds of years, but with the city sinking and sea levels worldwide rising, the situation in the 21st century is becoming dire. This program uses the design for a moveable floodgate, to be activated automatically when waters reach a critical level, to illustrate mathematical inequalities. Inequalities are also demonstrated by calculating the mpg of a hybrid and a gas-engine vehicle, factoring in both city and highway driving, to determine which is really more fuel efficient. Part of the series Algebra Applications. (20 minutes)

Logarithmic Functions

Media4Math

How many loud rock concerts could a teen attend before suffering permanent damage to the eardrums? In this program the risk of hearing loss from prolonged exposure to loud sounds is calculated using logarithmic functions. The program also explains the relationship between exponential and logarithmic functions by looking at the 1998 Papua New Guinea earthquake. The quake resulted in a devastating tsunami because its magnitude, measured logarithmically, caused an exponentially large amount of energy to be released. Part of the series Algebra Applications. (20 minutes)

Systems of Equations

Media4Math

When Amazon.com began business in 1995 its expenses far outran its sales-the company wasn't in the black until 2003. In this program, systems of equations are explained using Amazon's rise to profitability, encryption, and ballistic missiles. In the first segment, a business's break-even point is calculated, and in the next segment a substitution code, encrypted using linear equations, is deciphered. Last, a defense system proposed by Ronald Reagan to stop ICBMs in mid-air is shown to be based on quadratic equations. Part of the series Algebra Applications. (20 minutes)

The Language of the Universe: Mathematics in Ancient Times

Open University

In this program, Professor Marcus du Sautoy explores mathematical milestones of ancient Egypt, Mesopotamia, and Greece. Topics include Egypt’s unusual method of multiplication and division, as well as Egyptians’ understanding of binary numbers, fractions, and solids such as the pyramid; Babylon’s base-60 number system—the foundation of minutes and hours—and Babylonians’ use of quadratic equations to measure land; and the contributions of four of Greece’s mathematical giants: Plato, Euclid, Archimedes, and Pythagoras. Original Open University title: The Language of the Universe. A part of the series The Story of Math. (58 minutes)

The Frontiers of Space: Mathematics During the Scientific Revolution

Open University

By the Scientific Revolution, great strides had been made in understanding the geometry of objects fixed in time and space; the race was now on to discover the mathematics of objects in motion. In this program, Professor Marcus du Sautoy investigates mathematical progress during the 17th, 18th, and 19th centuries in Europe. Topics include the linking of algebra and geometry by René Descartes; the properties of prime numbers, discovered by Pierre Fermat; Isaac Newton’s development of calculus; Leonhard Euler’s development of topology; the modular arithmetic of Carl Friedrich Gauss; and the insights of Bernhard Riemann into the properties of objects. Original Open University title: The Frontiers of Space. A part of the series The Story of Math. (59 minutes)

Frege, Russell, and Modern Logic

BBC Worldwide Learning

The study of modern mathematical logic took the discipline out of the mind of the philosopher and placed it squarely within the realm of numbers. In this program, world-renowned author and professor Bryan Magee and noted philosopher A. J. Ayer discuss how the theories of Gottlob Frege and Bertrand Russell depsychologized philosophy and laid the foundation for modern logic. The discussion includes Frege’s theory of quantification and Russell’s theory of types and descriptions, and their contributions to the philosophy of language. A BBC Production. Part of the series Great Philosophers. (44 minutes)

Higher Derivatives and the Chain Rule

Goldhil Home Media International

What do you get when you calculate the derivative of a derivative of a derivative? After taking the headaches out of understanding higher-order derivatives, this program zooms in on the Chain Rule, used alone and in combination with the Power Rule. Examples of the Chain Rule, including its application to a series of gears, reinforce the understanding of this key concept. (21 minutes)

Position, Velocity, and an Introduction to Antiderivatives

Goldhil Home Media International

Is it true that there is an infinite number of antiderivatives for every derivative? Before answering that question, this program concentrates on three interrelated functions: position, velocity, and acceleration. Then, the mysterious nature of the general antiderivative is laid bare, revealing the indefinite integral-another name for the same thing. (24 minutes)

Integration Techniques

Goldhil Home Media International

Is the opposite of integration disintegration? This program deftly dissolves any such misconceptions as it presents the four keys to successful integration: the Integration Formula for a Constant, the Power Rule, the Natural Logarithms Rule, and the Exponential Rule. When to use each-and in what order-is carefully considered. How to apply substitution is examined as well. (21 minutes)

Geometry Basics

Goldhil Home Media International

This program presents the building blocks that every student of geometry needs to understand. Topics addressed include inductive and deductive reasoning; terminology such as points, lines, planes, and space; six core postulates; five essential theorems; and how to express theorems in their statement, converse, inverse, contrapositive, and biconditional forms. (19 minutes)

Angles

Goldhil Home Media International

What is a vertex? And how does algebra figure into geometry? This program examines all things angular, including acute, right, obtuse, straight, adjacent, complementary, supplementary, and vertical angles. Four theorems are also introduced, along with the reflexive, substitution, and transitive properties. A proof of the congruency of vertical angles is performed as well. (14 minutes)

Modeling Vectors

Skillbank Solutions Ltd

Employing diverse examples such as trains and water slides, this program illustrates the use of vectors to represent forces operating in both two and three dimensions. The algebraic manipulation of vectors in modeling problems is featured. (24 minutes)

Numbers, Units, Scalars, and Vectors

Goldhil Home Media International

Even Deedee Dodobird knows that a strong general knowledge of scientific and mathematical concepts makes it much easier to understand physics, the study of how things work. Section one of this program demonstrates fundamental abilities such as how to manipulate numbers using scientific notation and how to convert and algebraically cancel SI units. In section two, scalars and vectors are presented, including the head-to-tail and component methods of vector addition, dot products and cross products, and even a healthy dose of trigonometry. (34 minutes)

Harmonic Motion and Waves

Goldhil Home Media International

Section one of this program sheds light on the behavior of springs and pendulums undergoing simple harmonic motion, illuminating the application of Hooke's Law and the formula for calculating oscillation. In section two, physics experts like "Working Joe" discuss wave terminology, principles such as periodic waves, and wave types, including transverse, longitudinal, and surface waves. Examples using rope, a radio, and an electric guitar reinforce these fundamentals. (23 minutes)

Irrational Numbers: Pi and Pies

ClickView Pty Limited

The clip explains how the irrational number pi (p) is derived and provides an example of its practical application in calculating the area of different-sized pie tins. It explores how pi is derived by finding the relationship between a circle's diameter or radius and its circumference and the relationship between a circle's radius and its area. Ideal for reinforcing concepts.

Linear Functions: Algebra Nspirations

Media4Math

Can algebra and digital technology help us understand how an airplane takes off and lands? Or how to analyze the data from studies of greenhouse levels in the atmosphere? What can we learn about the relationship between two variables, such as speed and time? In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy explores the nature of linear functions through the use of graphing calculators. Concepts featured in the video include standard form, slope-intercept form, point-slope form, and solving linear equations. Lessons use real-world examples from engineering, construction, air travel, and space travel to help students discover and understand algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire graphing calculator. (22 minutes)

Inequalities: Algebra Nspirations

Media4Math

Minor steps like reversing the “less than” or “greater than” sign might look simple, but when students first try to grasp the strange world of inequalities, they often feel overwhelmed. That’s a problem that needs addressing, since inequalities are not only fundamental building blocks of algebra, they’re also used in a wide variety of professional and industrial applications. In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy explores inequalities, connecting them to real-world contexts and using the TI-Nspire graphing calculator to make the algebra meaningful. Focusing on linear inequalities in one and two variables, the video explores properties, solutions, notations, and other concepts. (26 minutes)

Functions and Relations: Algebra Nspirations

Media4Math

Environmentalists, meteorologists, economists, and people in many other disciplines have always been interested in the dynamics of variables, or quantities that change—for example, the number of polar bears that inhabit a certain region during the summer, or the number of tickets sold during a movie’s first weekend in theaters. Functions are indispensible to that kind of sampling since they represent relationships between variable quantities. Hosted by internationally acclaimed math educator Dr. Monica Neagoy, this program offers guidance in the notation of functions and distinguishes the concept of function from a general relation. Demonstrations of functions are provided using the TI-Nspire graphing calculator. The video covers quadratic functions, linear functions, and multiple representations. (27 minutes)

Data Analysis and Probability: Algebra Nspirations

Media4Math

What do mathematicians mean when they say that an event has a 50 percent probability of occurring? How does the study of statistics apply algebraic principles to real-world events and conditions in a meaningful way? Why are data analysis and probability so closely related, and what are the practical benefits of studying them together? This video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, the program offers engaging explorations based on true stories and real data, utilizes various TI-Nspire applications, and models the seamless connection among various problem representations. (27 minutes)

Exponents and Exponential Functions: Algebra Nspirations

Media4Math

Most people have a basic understanding that exponential growth means rapid growth. But framing this concept in algebraic terms and applying it to concrete problems in real-world situations is a different story. Written and presented by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions as it explores exponential notation and exponential function graphs with the help of TI-Nspire calculator features, such as sliders and graph transformations. Using exponential functions to model applications in the world of finance, the video also offers a problem involving Newton’s law of cooling to help students further build a solid foundation for these fundamental algebraic concepts. (32 minutes)

Arc Length: Geometry—Circles

integral CALC

In this video we'll learn how to find the length of an arc, which is part of the perimeter of a circle. We'll use the formula for arc length, which requires us to know the degree measure of the interior angle and the radius of the circle.

Repeated Quadratic Factors: Calculus—Integrals: Partial Fractions

integral CALC

This example shows how to do a partial fraction decomposition with a combination of distinct linear and repeated quadratic factors.

Work Done on Elastic Springs: Calculus—Applications of Integrals: Work

integral CALC

In this video we'll talk about the work required to stretch and compress elastic springs.

Single Deposit, Compounded n Times, Future Value: Calculus—Applications of Integrals: Economics

integral CALC

This is an example of how to find the future value of a sum of money after t years, assuming an interest rate r and that interest is compounded n times per year.

Taylor Series: Calculus—Sequences & Series: Taylor Series

integral CALC

A Taylor series is just the power series representation of a function. You can use the method in this video to find the Taylor series of a function.

Gradient Vectors and the Tangent Plane: Calculus—Partial Derivatives: Gradient Vectors

integral CALC

In this video, learn howto use the gradient vector to find the equation of the tangent plane to a multivariable function at a particular point.

Second Derivative Test: Calculus—Partial Derivatives: Optimization

integral CALC

You can use the second derivative test to find the extrema (maxima and minima) of a multivariable function.

Double Integrals to Find Surface Area: Calculus—Multiple Integrals: Double Integrals

integral CALC

How to find the surface area of the plane contained within another three-dimensional surface.

Expressing the Integral Six Ways: Calculus—Multiple Integrals: Triple Integrals

integral CALC

To find the triple integral of a function in three variables, you can integrate in six different orders: x then y then z x then z then y y then x then z y then z then x z then x then y z then y then x This video shows you how you can integrate in any order, as long as you find the appropriate limits of integration.

Triple Integrals to Find Mass and Center of Mass: Calculus—Multiple Integrals: Triple Integral Applications

integral CALC

You can use triple integrals to find the mass and center of mass of a lamina.

Cylindrical Coordinates: Calculus—Multiple Integrals: Triple Integrals in Cylindrical Coordinates

integral CALC

How to convert cylindrical coordinates (r, theta, z) to rectangular/cartesian coordinates (x, y, z).

Spherical Coordinates: Calculus—Multiple Integrals: Triple Integrals in Spherical Coordinates

integral CALC

How to convert spherical coordinates (rho, theta, phi) to rectangular/cartesian coordinates (x, y, z).

Triple Spherical Integrals to Find Volume: Calculus—Multiple Integrals: Triple Integrals in Spherical Coordinates

integral CALC

How to use triple integrals in spherical coordinates to find the volume of a solid.

Jacobian of the Transformation for Three Variables: Calculus—Multiple Integrals: Change of Variables

integral CALC

How to find the Jacobian of a multivariable function using a 3x3 matrix.

Open, Connected, and Simply-Connected: Calculus—Vectors: Line Integrals

integral CALC

In this video we'll learn about open, connected, and simply-connected regions. A region is open if it doesn't contain any of its boundary points. A region is connected if we can connect any two points in the region with a path that lies completely inside the region. A region is simply-connected if it's connected and contains no holes.

Arranging Condtionals in a Logical Chain: Geometry—Simple Logic and Proofs

integral CALC

In this video we'll learn how to arrange related conditional statements into a logical chain. The logical statements will be "if-then" statements, and we'll be looking to arrange them as If A, then B If B, then C If C, then D Therefore, if A, then D.

Vertical Line Test: Calculus—Precalculus: Functions

integral CALC

An equation is a function if it passes the vertical line test, which means that no perfectly vertical line intersects its graph at more than one point.

Circles, Center and Radius: Calculus—Precalculus: Graphing Functions

integral CALC

How to find the center and radius of a circle.

Inverse Functions: Calculus—Precalculus: Inverse Functions and Logarithms

integral CALC

The inverse of a function is its reflection over the line y=x.

Solving Limits with Factoring: Calculus—Limits & Continuity: Solving Limits

integral CALC

To use factoring to solve for the limit of a rational function, just factor the numerator and denominator completely, then see if you can cancel common factors from the fraction. This might simplify the fraction to the point where you can use substitution with the remaining function to find the limit.

Crazy Graphs: Calculus—Limits & Continuity: Solving Limits

integral CALC

Sometimes you'll be asked to find various limits of a function defined by a "crazy graph". The trick is to understand that the limit is just the value the function approaches as you trace your finger along the graph toward the limit value. You may find that the left- and right-hand limits of a function are different at some points, and that the value of the function at a point is not always equal to the limit of the function there.

Removable Discontinuities: Calculus—Limits & Continuity: Continuity

integral CALC

If the graph of a function as a hole at a single point, it's called a removable discontinuity because the discontinuity can be "removed" just by redefining the value of the function at that singular point. Any rational function in which you can cancel the same factor from the numerator and denominator, has a removable discontinuity.

Definition of the Derivative: Calculus—Derivatives: Definition of the Derivative

integral CALC

The definition of the derivative builds on the difference quotient and represents the slope of the tangent line.

Logarithmic Differentiation, Example 2: Calculus—Derivatives: Logarithmic and Exponential Derivatives

integral CALC

Sometimes it's easier to find the derivative of a function if you take the natural log of both sides of the equation first, and then use implicit differentiation to take the derivative. This process is called logarithmic differentiation.

Half Life: Calculus—Derivatives: Exponential Growth and Decay

integral CALC

The half-life of an element is the amount of time it takes for that element to decay to half of its original amount.

Production Level and Sale Price that Maximize Profit: Calculus—Applications of Derivatives: Applied Optimization

integral CALC

Maximize the profit of a product while the price of the product and the cost of production are constrained.

Using Math to Fight Brain Cancer: Medicine’s Next Big Thing?

Ivanhoe Broadcast News

Cancer-fighting teams may soon include a mathematician. Tumor growth isn’t as random as once thought. Researchers are aiming to use math to find the best treatment for brain cancer tumors.

Discovering Math: Advanced—The General Nature and Uses of Math

Discovery Education

Mathematics is based on standard concepts and principals discovered centuries ago, but mathematical applications in the world today are infinite. In this video, explore how new strands of traditional mathematical branches are being continually developed to aid scientists, musicians, fashion designers, doctors, meteorologists, cryptologists, and more. Mathematics solves real-world problems and creates new standards in many fields of study.

Pythagoras

BBC Worldwide Learning

Learn about Pythagorus theorem and how to solve it.

Many Pre-School Teachers Are Scared Of Teaching STEM

NewsHour Productions

Everyone knows that 3-, 4- and 5-year-olds ask a lot of questions. But that unrestrained curiosity can unsettle preschool teachers who feel they lack sufficient understanding of science, technology, engineering and math, often referred to as STEM. Hari Sreenivasan reports from Chicago on efforts to boost science learning among some of the youngest students by boosting teacher confidence.

Building Mathematical Competencies in Early Childhood

Davidson Films

The mathematical skills children bring with them to elementary school predict both their mathematical and literacy achievement for years to come. In this video, experts from Erikson Institute’s Early Mathematics Education Project discuss approaches to creating rich, developmentally appropriate math experiences for young children. Lively footage from three pre-K classrooms in the Chicago public school system, a Head Start program on Chicago’s South Side, and a private preschool in a Chicago suburb illustrates how foundational math can be joyfully incorporated into both informal and planned activities. Viewable/printable educational resources are available online. (37 minutes)

Codebreakers: Bletchley Park’s Lost Heroes

BBC Worldwide Learning

During World War II, British mathematician Bill Tutte broke a code ten times tougher than Enigma, with the help of engineer Tommy Flowers, who designed the world’s first programmable computer to help decipher encrypted German messages. This program tells the story of how Tutte and Flowers, working with a handful of brilliant men at secret intelligence base Bletchley Park, devised a way for Churchill to hack in to Hitler’s communications network, winning the war and ushering in the age of computers. A BBC Production. (52 minutes)

Episode 1: Pi (Numbers)

Blue Media

All ancient civilizations wrestled with the challenge of calculating the area of a circle by simply using a ruler and compass. It took 5,000 years finally to come up with a solution. To solve this mathematical conundrum, mathematicians used geometry, quadratic equation, calculus and other math formulae.

Episode 2: Infinity (Numbers)

Blue Media

There were mathematicians who tried to measure uncountable numbers and others attempted to quantify infinite. The quest to figure out infinite numbers began with Zeno's paradoxes, which also had an impact on the Greeks' view of the universe. During the Middle Ages, it was forbidden to study infinite numbers due to a ban imposed by Christianity. Neverthelss, eventually infinite numbers were revealed mathematically.

Episode 3: X (Numbers)

Blue Media

Equation began with solving real problems in everyday life. Equation gave remarkably accurate predictions for what may appear to be complex and complicated phenomena. The solution to the Quintic function eluded mathematicians for centuries until 20-year-old Evariste Galois proposed his Galois theory. He wrote his final mathematical manuscript the night before he died at age 20 from wounds inflicted in a duel.

Geometry in Our Lives: Part 1

Cerebellum Corporation

Many students think that math has no practical use, when in fact math influences us in every way. Though we may not realize it, our daily lives are crammed full of objects designed with precise geometric shapes. Find out why objects have the shape they do, the many practical uses of geometry, and geometry’s role in explaining the universe. Also find out about some common shapes are their functions: the circle, the sphere, the cylinder, the cone, parabolas, and more. This is part 1 of Geometry in Our Lives.

Geometry in Our Lives: Part 2

Cerebellum Corporation

Many students think that math has no practical use, when in fact, math influences us in every way. Though we may not realize it, our daily lives are crammed full of objects designed with precise geometric shapes. Find out why objects have the shape they do, the many practical uses of Geometry, and Geometry’s role in explaining the universe. Also find out about some common shapes are their functions: The circle, the sphere, the cylinder, the cone, parabolas, and more. This is part 2 of Geometry in Our Lives.

Mathematics and Civilization: Part 1

Cerebellum Corporation

Mathematics: the most universal human invention to ever exist, and humankind’s common language. Learn about the origins of mathematics in the Stone Age, how the Mesopotamians used math, the origin of how we tell time, the decimal system, the hieratic writing system, the Greeks, The Elements by Euclid, the number zero, and the contributions of famous mathematician Al'Khowarizmi.

Work Done On Elastic Springs

integral CALC

This video tutorial works through math problems/equations that address topics in Calculus 2, Applications of Integrals. This specific tutorial addresses Work done on elastic springs.

2-Step Problems

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses 2-step problems.

Cartesian Coordinate System

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Cartesian coordinate system.

Commutative Property

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Commutative property.

Completing The Square With Complex Roots

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Completing the square with complex roots.

Distributive Property And Binomial Multiplication

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Distributive property and binomial multiplication.

Domain And Range

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Domain and range.

Even, Odd Or Neither

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Even, odd or neither.

Graphing Linear Equations

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Graphing linear equations.

Inequalities And Negative Numbers

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Inequalities and negative numbers.

Product Of Functions

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Product of functions.

Simple Equations With Subscripts

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Simple equations with subscripts.

Solving With Substitution

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Solving with substitution.

Sum Of Functions

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Sum of functions.

Transitive Property

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Transitive property.

Word Problems Into Equations

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 1. This specific tutorial addresses Word problems into equations.

Chemical Compounds

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Chemical compounds.

Complex Fractions, Ratio And Proportion

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Complex fractions, ratio and proportion.

Composite Functions, Domain

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Composite functions, domain.

Decimal Equations

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Decimal equations.

Direct Variation

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Direct variation.

Fractional Equations

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Fractional equations.

Fractions To Decimals To Percents

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Fractions to decimals to percents.

Graphing Parabolas

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Graphing parabolas.

Horizontal Line Test

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Horizontal line test.

Powers Of Fractions

integral CALC

This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Powers of fractions.

Powers Of Negative Bases

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This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Powers of negative bases.

Rationalize An Imaginary Denominator With Conjugate Method

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This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Rationalize an imaginary denominator with conjugate method.

Rationalize The Denominator

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This video tutorial works through math problems/equations that address topics in Algebra 2. This specific tutorial addresses Rationalize the denominator.