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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

Summarizing Questions

8m 42s

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

Derivatives of Exponential and Inverse Trigonometric Functions

1h 48m 45s

Tangent and Normal Lines - Basic Exercises

2h 31m 26s

Tangent and Normal Lines – Exercises with a Constant

1h 29m 47s

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

Summarizing Questions

12m 40s

Sequences

45m 45s

Infinite Geometric Series

2h 15m 43s

The Harmonic Series and The P-Series

16m 56s

Algebraic Properties of Series

8m 47s

The Divergence Test

9m 44s

The Integral Test

1h 40s

The Limit Comparison Test

2h 23m 53s

The Ratio Test

1h 11m 22s

The Alternating Series Test

20m 19s

Absolute and Conditional Convergence of Series

1h 9m 55s

Introduction

23m 8s

Separable Equations

46m 20s

Homogeneous Equations

1h 39s

Homogeneous after Substitution

34m 23s

Exact Equations

47m 21s

Integration Factor

1h 56m 45s

Linear Equations

33m 27s

Bernoulli Equations

28m 39s

Ricatti Equations

40m 23s

Existence and Uniqueness

1h 15m 47s

Word Problems

1h 14m 59s

Missing X or Y, Reduction of Order

39m 39s

Linear, Homogeneous, Constant Coefficients

20m 10s

Linear, Nonhomogeneous, Constant Coefficients - Method of Undetermined Coefficients

1h 30m 47s

Linear, Nonhomogeneous, Constant Coefficients - Method of Variation of Parameters

1h 16m 18s

Eulers Equation

18m 23s

Linear, Homogeneous, Non-Constant Coefficients - 2nd Solution Method

41m 33s

The Wronskian and its Uses

57m 53s

Sturm-Liouville Problems

1h 51m 59s

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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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