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Introduction

23m 8s

Separable Equations

46m 20s

Homogeneous Equations

1h 39s

Homogeneous after Substitution

34m 23s

Exact Equations

47m 21s

Integration Factor

1h 56m 45s

Linear Equations

33m 27s

Ricatti Equations

40m 23s

Existence and Uniqueness

1h 15m 47s

Bernoulli Equations

28m 39s

Clairaut Equation

9m 42s

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

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 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

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

Integrals of Vector Functions

10m 16s

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

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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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