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Logic and Set Theory

53m 34s

Operations on Sets

51m 36s

Irrational Numbers

33m 43s

Bounded and Unbounded Sets in R

1h 17m 33s

Further properties of bounded sets

1h 6m 16s

Mathematical Induction

1h 8m 36s

Summation and Sigma notation

36m 42s

Advanced Theory Exercises

35m 22s

Famous Inequalities

36m 6s

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 – 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

Infinite Geometric Series

2h 15m 43s

Sequences

45m 45s

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 Alternating Series Test

20m 19s

The Limit Comparison Test

2h 23m 53s

The Ratio Test

1h 11m 22s

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

Piecewise Continuous Function, Integral of an Even or Odd Function

8m 15s

Real Fourier Series

25m 30s

Complex Fourier Series

19m 45s

Parseval Identity

49m 59s

Riemann Lebesgue Lemma

9m 22s

Dirichlet's Theorem

38m 34s

Even and Odd Extensions

10m 18s

Differentiation and Integration of Fourier Series

1h 51m 36s

Uniform Convergence of Fourier Series

24m 48s

Fourier Series on a General Interval

1h 9m 32s

Summarizing Exercises

46m 34s

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

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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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