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Introduction

10m 15s

Technique 1 Substitution

11m 56s

Technique 2 Factoring

22m 43s

Technique 3 Multiplying by the Conjugate

48m 59s

Technique 4 Function Tends to Infinity

29m 4s

Technique 5 X Tends to Infinity

1h 43m 50s

Technique 6 Eulers Limit

54m 36s

Technique 7 Trigonometric Limits

59m 39s

Technique 8 The Sandwich Squeeze Theorem

51m 20s

Technique 9 Piecewise Functions

21m 37s

Limit from Definition

2h 25m 5s

Summarizing Questions

8m 42s

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

Derivatives of Exponential and Inverse Trigonometric Functions

1h 48m 45s

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

Summarizing Questions

12m 40s

Sequences

45m 45s

Infinite Geometric Series

2h 15m 43s

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 Limit Comparison Test

2h 23m 53s

The Ratio Test

1h 11m 22s

The Alternating Series Test

20m 19s

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

Introduction

17m 33s

Categorization of Variables and Measuring Scales

32m 13s

Summation

20m 43s

Measure of Central Tendency

1h 28m 30s

Measures of Dispersion - Range, Variance, and Standard Deviation

55m 22s

Measures of Dispersion - Interquartile Range

21m 7s

Data Presentation

1h 3m 39s

BoxPlots

15m 39s

Weighted Average and Combined Variance

21m 6s

Coefficient of Variation

10m 36s

Analysis of Printout

7m 24s

Transformations of Measuring Scales

19m 13s

Measures of Relative Location - Standard Score

19m 23s

Measures of Relative Location - Percentiles in Categories

51m 2s

Percentiles in a Discrete Frequencies Table

13m 37s

Linear Transformations

39m 41s

The Probability Function

49m 25s

Expectation, Variance, and Standard Deviation

3h 18m 1s

General Probabilities without Integrals

1h 31m 24s

Normal Probability

3h 36m 12s

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

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

Bernoulli Equations

28m 39s

Ricatti Equations

40m 23s

Existence and Uniqueness

1h 15m 47s

Word Problems

1h 14m 59s

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

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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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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