The 8 videos in this collection focus on all aspects of Functions and Graphs.

Running Time

222 mins

Nb videos

8 videos included

Kanopy ID

1106091

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Introduction to Functions

A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit also introduces some of the mathematical…

Linear Functions

Some of the most important functions are linear. This unit describes how to recognize a linear function and how to find the slope and the y-intercept of its graph.

Polynomial Functions

Many common functions are polynomial functions. This unit describes polynomial functions and looks at some of their properties.

Exponential and Logarithm Functions

Exponential functions and logarithm functions are important in both theory and practice. In this unit the graphs of exponential and logarithm functions are examined and their relationships established.

Trigonometric Functions

The sine, cosine and tangent of an angle are all defined in terms of trigonometry, but they can also be expressed as functions. How to restrict the domain of each…

Hyperbolic Functions

The hyperbolic functions have similar names to the trigonometric functions, but they are defined in terms of the exponential function. This unit defines the three main hyperbolic functions and sketches…

Composition of Functions

Complicated functions can be built up from simple functions by using the process of composition, where the output of one function becomes the input of another. It is also sometimes…

Inverse Functions

An inverse function is a second function which undoes the work of the first one. In this unit two methods for finding inverse functions are described, together with the possible…

Integration

The 11 videos in this collection focus on all aspects of Integration, from integration as summation to integration leading to log functions.

Algebra

The 18 videos in this collection focus on all aspects of Algebra, from logarithms to quadratic equations and partial fractions.

Sequences and Series

The 5 videos in this collection focus on all aspects of Sequences and Series.

Linear Equations and Their Graphs

Key concepts explained: linear equations and their graphs, and the domain of an equation.

Trigonometry

The 11 videos in this collection focus on all aspects of Trigonometry, from Pythagoras' theorem to cosec, sec and cot.

Differentiation

The 14 videos in this collection focus on all aspects of Differentiation, from maxima and minima to the chain, product and quotient rule.

Geometry and Vectors

The 10 videos in this collection focus on all aspects of Geometry and Vectors.

Moving Bodies with Constant Mass

A compilation of the following programs: : Deceleration with parachutes, Acceleration with planes, Bows and Arrows, Differentiation of natural log of x (tutorial), Inverse Trig function - differentiation (tutorial), Exponential Functions (tutorial), Integrals that lead to log functions (tutorial), Integration by substitution (tutorial), Partial Fractions (tutorial) and Differential Equations -…

The Visuals of Graphs

Inspired by a question about the Fibonacci numbers, probe the power of graphs. First, experiment with scatter plots. Then see how plotting data is like graphing functions in algebra. Use graphs to prove the fixed-point theorem and answer the Fibonacci question that opened the lecture.

Arithmetic

The 8 videos in this collection focus on all aspects of Arithmetic, from fractions to percentages and ratios.

Measuring Your World Series

Explores how statistics, collecting data, number crunching in this instructional series.

Factoring is Fantastic

Key concepts explained: Factoring, terms, expressions, finding the greatest common factor(s), and factoring polynomial expressions that are the sums or differences of terms with common factors.
This starts with a review of numerical factors and greatest common factors, and
moves into the realm of algebra. Different types of factoring and…

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