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Introduction to 2D and 3D Vectors

2 videos · 33m 54s

Vector Arithmetic

5 videos · 39m 49s

Vectors Dot Product

8 videos · 1h 11m 51s

Vectors Cross Product

6 videos · 55m 58s

The 3D Coordinates System

5 videos · 33m 40s

Equations of Lines

8 videos · 57m 36s

Equations of Planes

11 videos · 1h 33m 36s

Quadric Surfaces

6 videos · 33m 15s

Introduction

1 video · 10m 15s

Technique 1 Substitution

5 videos · 11m 56s

Technique 2 Factoring

5 videos · 22m 43s

Technique 3 Multiplying by the Conjugate

8 videos · 48m 59s

Technique 8 The Sandwich Squeeze Theorem

11 videos · 51m 20s

Technique 9 Piecewise Functions

6 videos · 21m 37s

Technique 4 Function Tends to Infinity

12 videos · 29m 4s

Technique 5 X Tends to Infinity

25 videos · 1h 43m 50s

Technique 6 Eulers Limit

10 videos · 54m 36s

Technique 7 Trigonometric Limits

12 videos · 59m 39s

Limit from Definition

26 videos · 2h 25m 5s

Summarizing Questions

4 videos · 8m 42s

Basic Derivatives of Functions

11 videos · 1h 54m 48s

Derivative of Exponents and Logarithmic Functions

7 videos · 53m 36s

Trigonometric Derivatives

3 videos · 36m 58s

Derivative of Power Functions

4 videos · 1h 29m 38s

Implicit Differentiation

5 videos · 1h 31m 12s

Calculations Using The Definition of Derivative

6 videos · 49m 55s

The Derivative of an Inverse of a Function

6 videos · 11m 35s

Logarithmic Differentiation

4 videos · 31m 26s

Tangent and Normal Lines - Basic Exercises

16 videos · 1h 49m 57s

Tangent and Normal Lines of Implicit Functions

4 videos · 27m 8s

Tangent and Normal lines - Parametric Functions

3 videos · 17m 20s

The Angle Between Two Curves

4 videos · 25m 47s

Vertical Tangents and Cusps

8 videos · 44m 29s

Linear Approximation

7 videos · 31m 10s

Tangent and Normal Lines – Exercises with a Constant

11 videos · 1h 29m 47s

Summarizing Questions

3 videos · 12m 40s

Extrema, Increase, Decrease

33 videos · 3h 56m 17s

Inflection, Convex, Concave

31 videos · 3h 51m 45s

Vertical Asymptotes

35 videos · 1h 7m 36s

Horizontal Asymptotes

38 videos · 1h 3m 18s

Oblique Asymptotes

37 videos · 2h 18m 18s

Global Extrema

14 videos · 1h 54m 48s

Curve Plotting

10 videos · 1h 7m 35s

Summarizing Questions

12 videos · 37m 4s

Introduction to Definite Integrals

13 videos · 52m 1s

Inequalities

9 videos · 33m 4s

Riemann Sum and Integrability

22 videos · 1h 56m 37s

Fundamental Theorm of Calculus

20 videos · 1h 43m 53s

Riemann Integration and Integrability

19 videos · 2h 24m 42s

Further Exercises - Criterion for Integrability

17 videos · 1h 39m 51s

Advanced exercises - Riemann Sum and FTC

28 videos · 1h 24m 6s

Areas

22 videos · 3h 32m

Curve Length

16 videos · 1h 27m 24s

Work

4 videos · 22m 33s

Center of Mass

3 videos · 17m 3s

Hydrostatic Pressure and Force

2 videos · 17m 59s

Probability

4 videos · 28m 6s

Mean Value Theorem for Integrals

2 videos · 8m 51s

Average Function Value

2 videos · 10m 34s

Numerical Integration

4 videos · 50m 30s

Total: 21 videos · 3h 9m

Exponential Growth and Decay

14 videos · 2h 6m 34s

Applications - Decay and Growth - Version 2

14 videos · 1h 52m 4s

Rules of logarithms

25 videos · 2h 9m 58s

Exponential Equations - Revisited

2 videos · 3m 48s

Logarithmic Equations - Type 1

17 videos · 2h 12m 46s

Logarithmic Equations - Type 2

6 videos · 50m 16s

Logarithmic Equations - Type 3

5 videos · 1h 22m 44s

Logarithmic Equations - Type 4

12 videos · 2h 8m 59s

Infinite Geometric Series

19 videos · 2h 15m 43s

Sequences

6 videos · 45m 45s

The Harmonic Series and The P-Series

2 videos · 16m 56s

Algebraic Properties of Series

1 video · 8m 47s

The Divergence Test

1 video · 9m 44s

The Integral Test

6 videos · 1h 40s

The Alternating Series Test

3 videos · 20m 19s

The Limit Comparison Test

18 videos · 2h 23m 53s

The Ratio Test

9 videos · 1h 11m 22s

Absolute and Conditional Convergence of Series

12 videos · 1h 9m 55s

Introduction to Taylor and Maclaurin Series

7 videos · 1h 14m 51s

Basic Exercises with Maclaurin Series

9 videos · 54m 9s

Expansions about General Point

4 videos · 22m 47s

Finding Nonzero Terms in Expansions

4 videos · 37m 11s

Sum of Series Using Taylor and Maclaurin Expansions

7 videos · 21m 53s

Finding Limits Using Expansions

4 videos · 27m 8s

Computations with Taylor Series

15 videos · 1h 6m 55s

The Real Number System

11 videos · 35m 22s

Convergence of a Sequence, Monotone Sequences

9 videos · 26m 15s

Continuity and Limits

5 videos · 16m 54s

Existence of Extrema, Intermediate Value Property

17 videos · 52m 5s

Differentiability and Rolles Theorem

11 videos · 30m 24s

Mean Value Theorem, LHopitals Rule

15 videos · 34m 1s

Power Series, Taylor Series

2 videos · 11m 42s

Riemanns Criterion for Integrability

17 videos · 1h 39m 51s

FTC, MVT for Integrals, Riemann Sum

28 videos · 1h 24m 6s

Areas of Surfaces of Revolution, Pappuss Theorems

6 videos · 13m 29s

Principal Normal, Curvature

3 videos · 12m 43s

Change of Variables in a Triple Integral, Area of a Parametric Surface

5 videos · 22m 22s

Cauchy Criterion, Bolzano - Weierstrass Theorem

11 videos · 39m 56s

Taylors Theorem

1 video · 2m 59s

Piecewise Continuous Function, Integral of an Even or Odd Function

2 videos · 8m 15s

Real Fourier Series

6 videos · 25m 30s

Complex Fourier Series

6 videos · 19m 45s

Parseval Identity

14 videos · 49m 59s

Riemann Lebesgue Lemma

3 videos · 9m 22s

Dirichlet's Theorem

10 videos · 38m 34s

Even and Odd Extensions

2 videos · 10m 18s

Differentiation and Integration of Fourier Series

29 videos · 1h 51m 36s

Uniform Convergence of Fourier Series

6 videos · 24m 48s

Fourier Series on a General Interval

16 videos · 1h 9m 32s

Summarizing Exercises

10 videos · 46m 34s

Introduction

1 video · 23m 8s

Separable Equations

14 videos · 46m 20s

Homogeneous Equations

11 videos · 1h 39s

Homogeneous after Substitution

6 videos · 34m 23s

Exact Equations

8 videos · 47m 21s

Integration Factor

17 videos · 1h 56m 45s

Linear Equations

9 videos · 33m 27s

Ricatti Equations

5 videos · 40m 23s

Existence and Uniqueness

11 videos · 1h 15m 47s

Bernoulli Equations

6 videos · 28m 39s

Missing X or Y, Reduction of Order

9 videos · 39m 39s

Linear, Homogeneous, Constant Coefficients

10 videos · 20m 10s

Linear, Nonhomogeneous, Constant Coefficients - Method of Undetermined Coefficients

15 videos · 1h 30m 47s

Linear, Nonhomogeneous, Constant Coefficients - Method of Variation of Parameters

11 videos · 1h 16m 18s

Eulers Equation

2 videos · 18m 23s

Linear, Homogeneous, Non-Constant Coefficients - 2nd Solution Method

5 videos · 41m 33s

The Wronskian and its Uses

10 videos · 57m 53s

Sturm-Liouville Problems

11 videos · 1h 51m 59s

The Probability Function

9 videos · 49m 25s

Expectation, Variance, and Standard Deviation

11 videos · 56m 36s

Linear Transformation

12 videos · 1h 3m 25s

Expectation and Variance of a Sum of Random Variables

8 videos · 35m 53s

Special Discrete Probability Distributions - Binomial Probability

14 videos · 1h 35m 12s

Special Discrete Probability Distributions - Geometric Probability

12 videos · 1h 26m 46s

Special Discrete Probability Distributions - Uniform Probability

7 videos · 46m 13s

Special Discrete Probability Distributions - Hypergeometric Probability

8 videos · 44m 23s

Special Discrete Probability Distributions - Negative Binomial Distribution

8 videos · 45m 54s

Poisson Approximation of the Binomial Probability Distribution

6 videos · 21m 18s

The Discrete Random Variable - Summary Questions

15 videos · 2h 3m 31s

Special Discrete Probability Distributions - Poisson Probability

13 videos · 1h 32m 19s

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