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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

Energy Conservation and the Work Energy Theorem Part a

31m 15s

Energy Conservation and the Work Energy Theorem Part b

14m 29s

Work Done by a Constant Force

7m 27s

Explanation about the Integral of Work

9m 10s

How to Calculate the Integral of a Non Constant Force

1m 20s

Deriving Work and Energy Equations

21m 18s

Calculating Conservative Forces from Potential Energy

6m 45s

How to Check if a Force is Conservative

5m 7s

10. Calculating Potential Energy from Conservative Forces

10m 11s

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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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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