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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

Taylor and Maclaurin Series

1h 14m 51s

Basic Exercises with Maclaurin Series

54m 9s

Expansions about General Point

22m 47s

Finding Nonzero Terms in Expansions

37m 11s

Sum of Series Using Taylor and Maclaurin Expansions

21m 53s

Finding Limits Using Expansions

27m 8s

Computations with Taylor Series

1h 6m 55s

The Vector Space Rn

55m 32s

Linear Combination, Dependence and Span

1h 17m 25s

Linear Dependence in R^n

25m 26s

Basis for Rn

31m 40s

Solution Space of Homogenous SLE

54m 33s

Subspaces

36m 15s

Row and Column Spaces

14m 52s

Change of Basis

27m 34s

Vector Spaces

1h 27m 27s

Linear Combinations and Span

20m 16s

Linear Dependence

1h 30s

Basis for Known Vector Spaces

28m 43s

Basis for a Solution Space, Homogeneous SLE

11m 18s

Basis of a Subspace of a Known Vector Space

5m 1s

Coordinate Vectors and Change of Basis

40m 46s

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

Energy Conservation and the Work Energy Theorem Part a

31m 15s

Energy Conservation and the Work Energy Theorem Part b

14m 29s

Work Done by a Constant Force

7m 27s

Explanation about the Integral of Work

9m 10s

How to Calculate the Integral of a Non Constant Force

1m 20s

Deriving Work and Energy Equations

21m 18s

Calculating Conservative Forces from Potential Energy

6m 45s

How to Check if a Force is Conservative

5m 7s

10. Calculating Potential Energy from Conservative Forces

10m 11s

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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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