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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

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 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 Real Number System

35m 22s

Convergence of a Sequence, Monotone Sequences

26m 15s

Continuity and Limits

54m 3s

Existence of Extrema, Intermediate Value Property

52m 5s

Differentiability and Rolles Theorem

30m 24s

Mean Value Theorem, LHopitals Rule

37m 13s

Power Series, Taylor Series

11m 42s

Riemanns Criterion for Integrability

1h 39m 51s

FTC, MVT for Integrals, Riemann Sum

1h 24m 6s

Areas of Surfaces of Revolution, Pappuss Theorems

13m 29s

Principal Normal, Curvature

12m 43s

Change of Variables in a Triple Integral, Area of a Parametric Surface

22m 22s

Cauchy Criterion, Bolzano - Weierstrass Theorem

39m 56s

Taylors Theorem

2m 59s

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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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