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Introduction

23m 58s

Linear Equations- One Variable

44m 14s

Linear Equations- Zero or Infinite Solutions

9m 34s

Variable in the Denominator

1h 4m 28s

Systems of Two Linear Equations

1h 12m 17s

Linear Systems- Zero or Infinite Solutions

13m 52s

Applications of Linear Equations

51m 10s

Quadratic Equations

54m 5s

Jumbled Quadratics

22m 18s

Quadratics in Disguise

48m 7s

Nonlinear Equations

1h 40m 54s

Equations with Square Roots

1h 10m 2s

Equations with Absolute Value

1h 23m 41s

The Concept of a Function

48m 34s

The Linear Function (Lines) and Circles

2h 12s

The Quadratic Function (Parabola)

2h 29m 33s

Common Functions

50m

Translation and Reflection of Functions

1h 13m 50s

Composed Functions

47m 3s

Even and Odd Functions

56m 32s

One to One Functions

36m 10s

The Inverse Function

1h 27m 28s

Piecewise Defined Functions

39m 37s

The Absolute Value Function

17m 35s

The Domain of Definition of a Function

1h 13m 23s

Rules of logarithms

2h 9m 58s

Exponential Equations - Revisited

3m 48s

Logarithmic Equations - Type 1

2h 12m 46s

Logarithmic Equations - Type 2

50m 16s

Logarithmic Equations - Type 3

1h 22m 44s

Logarithmic Equations - Type 4

2h 8m 59s

Exponential Growth and Decay

2h 6m 34s

Applications - Decay and Growth - Version 2

1h 52m 4s

Integral of Complex Function of Real Variable

22m 7s

Contour Integral of a Complex Function

56m 19s

Integral Inequalities (Estimation Lemma)

51m 40s

The Cauchy - Goursat Theorem

39m 53s

Cauchy's Integral Formula

2h 25m 7s

Cauchy's Generalized Integral Formula

1h 40m 2s

Primitive Functions

1h 23m 13s

Morera's Theorem

12m 7s

Uniform Convergence of a Sequence of Holomorphic Functions

42m 7s

Summarizing Exercises

1h 24m 6s

Residue of a Function at a Singularity

35m 16s

The Residue Theorem and Applications

1h 25m 52s

Semi-Circular Contours

53m 20s

Pizza-Slice Contours

20m 28s

The Unit-Circle Contour

31m 14s

Keyhole Contours

13m 26s

Jordan's Lemma

36m 51s

Indented Semi-Circular Contours

59m 14s

Use of the Residue Theorem with Integral Transforms

19m 34s

The Residue at Infinity

19m 51s

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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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