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The Concept of a Function

45m 53s

Common Functions

35m 17s

The Domain of Definition of a Function

4m 56s

The Domain of Basic Functions

10m 54s

The Domain of Logarithmic and Exponential Functions

18m 45s

The Domain of Trigonometric Functions

6m 4s

The Domain of Absolute Value Functions

3m 36s

The Domain of a Piecewise Function

4m 33s

Translation (Shifting) and Reflection of Functions

1h 43s

The Composition of Functions

35m 48s

Even and Odd Functions

37m 24s

One-to-One Functions

30m 12s

The Inverse of a Function

1h 24m 12s

Piecewise-Defined Functions

33m 7s

The Absolute Value Function

13m 57s

Introduction

10m 15s

Technique 1 Substitution

11m 56s

Technique 2 Factoring

22m 43s

Technique 3 Multiplying by the Conjugate

48m 59s

Technique 4 Function Tends to Infinity

29m 4s

Technique 5 X Tends to Infinity

1h 43m 50s

Technique 6 Eulers Limit

54m 36s

Technique 7 Trigonometric Limits

59m 39s

Technique 8 The Sandwich Squeeze Theorem

51m 20s

Technique 9 Piecewise Functions

21m 37s

Limit from Definition

2h 25m 5s

Basic Derivatives of Functions

1h 52m 42s

Derivative of Exponents and Logarithmic Functions

53m 36s

Trigonometric Derivatives

36m 58s

Derivative of Power Functions

1h 29m 38s

Implicit Differentiation

1h 31m 12s

Calculations Using The Definition of Derivative

49m 55s

The Derivative of an Inverse of a Function

11m 35s

Logarithmic Differentiation

31m 26s

Tangent and Normal Lines - Basic Exercises

2h 31m 26s

Tangent and Normal Lines of Implicit Functions

27m 8s

Tangent and Normal lines - Parametric Functions

17m 20s

The Angle Between Two Curves

25m 47s

Vertical Tangents and Cusps

44m 29s

Linear Approximation

31m 10s

Tangent and Normal Lines – Exercises with a Constant

1h 29m 47s

Summarizing Questions

12m 40s

The 3D Coordinates System

33m 40s

Equations of Lines

57m 36s

Equations of Planes

1h 33m 36s

Quadratic Surfaces

33m 15s

Functions of Several Variables

55m 27s

Vector Functions in 3D Coordinates System

44m 48s

Vector Calculus in 3D Coordinates System

28m 52s

Tangent, Normal and Binormal Vectors

1h 2m 50s

Integrals of Vector Functions

10m 16s

Arc Length with Vector Functions

35m 57s

Curvatures in 2D and 3D Space

1h 2m 57s

Velocity and Acceleration in Space

1h 10m 44s

Cylindrical and Spherical Coordinate Systems

1h 11m 27s

The Multiplication Principle

49m 3s

Permutations - Objects Ordered in a Row

31m 23s

Permutations with Identical Objects

14m 47s

Permutations with and without Returns

31m 33s

Non-Sequential Sampling without Returns

1h 2m 42s

Non-Sequential Sampling with Returns

41m 33s

Summary Questions

2h 28m 21s

Binomial Expansion

2h 25m

The Probability Function

49m 25s

Expectation, Variance, and Standard Deviation

56m 36s

Linear Transformation

1h 3m 25s

Expectation and Variance of a Sum of Random Variables

35m 53s

Special Discrete Probability Distributions - Binomial Probability

1h 35m 12s

Special Discrete Probability Distributions - Geometric Probability

1h 26m 46s

Special Discrete Probability Distributions - Uniform Probability

46m 13s

Special Discrete Probability Distributions - Hypergeometric Probability

44m 23s

Special Discrete Probability Distributions - Negative Binomial Distribution

45m 54s

Poisson Approximation of the Binomial Probability Distribution

21m 18s

The Discrete Random Variable - Summary Questions

2h 3m 31s

Special Discrete Probability Distributions - Poisson Probability

1h 32m 19s

Linear Measure of Association (Pearson)

1h 8m 34s

Effect of Linear Transformation on Pearson Measure of Association

18m 21s

Linear Regression

31m 9s

Regression - Explained and Unexplained Variance

18m 49s

Cramer's Measure of Association

29m 43s

The Phi Measure of Association

11m 6s

Lamda Measure of Association

23m 8s

Spearman Measure of Association

32m 45s

Eta Measure of Association

31m 43s

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Lecturers

Amos Bahiri earned his undergraduate degree in Mathematics, and then went on to earn two Master’s Degrees (MS) in Mathematics and Computer & Information Science from Ohio State University. In addition to being an outstanding instructor of mathematics, Amos is known for his math jokes.

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