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The Multiplication Principle

49m 3s

Permutations - Objects Ordered in a Row

31m 23s

Permutations with Identical Objects

14m 47s

Permutations with and without Returns

31m 33s

Non-Sequential Sampling without Returns

1h 2m 42s

Non-Sequential Sampling with Returns

41m 33s

Summary Questions

2h 28m 21s

Binomial Expansion

2h 25m

The Probability Function

49m 25s

Expectation, Variance, and Standard Deviation

56m 36s

Linear Transformation

1h 3m 25s

Expectation and Variance of a Sum of Random Variables

35m 53s

Special Discrete Probability Distributions - Binomial Probability

1h 35m 12s

Special Discrete Probability Distributions - Geometric Probability

1h 26m 46s

Special Discrete Probability Distributions - Uniform Probability

46m 13s

Special Discrete Probability Distributions - Hypergeometric Probability

44m 23s

Special Discrete Probability Distributions - Negative Binomial Distribution

45m 54s

Poisson Approximation of the Binomial Probability Distribution

21m 18s

The Discrete Random Variable - Summary Questions

2h 3m 31s

Special Discrete Probability Distributions - Poisson Probability

1h 32m 19s

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

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

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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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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