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The Multiplication Principle

13 videos · 49m 3s

Permutations - Objects Ordered in a Row

10 videos · 31m 23s

Permutations with Identical Objects

8 videos · 14m 47s

Permutations with and without Returns

7 videos · 31m 33s

Non-Sequential Sampling without Returns

13 videos · 1h 2m 42s

Non-Sequential Sampling with Returns

15 videos · 41m 33s

Summary Questions

28 videos · 2h 28m 21s

Binomial Expansion

17 videos · 2h 25m

Conditional Probability in a Uniform Sample Space

12 videos · 34m 24s

Conditional Probability in a Non-Uniform Space

17 videos · 1h 6m 10s

Tree Diagrams the Bayes Formula and the Complete Probability Formula

30 videos · 1h 37m 42s

Dependent and Independent Events

11 videos · 48m 27s

Summary Questions

18 videos · 1h 25m 10s

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

The Vector Space Rn

10 videos · 55m 32s

Linear Combination, Dependence and Span

13 videos · 1h 17m 25s

Linear Dependence in R^n

5 videos · 25m 26s

Basis for Rn

5 videos · 31m 40s

Solution Space of Homogenous SLE

6 videos · 54m 33s

Subspaces

6 videos · 36m 15s

Row and Column Spaces

3 videos · 14m 52s

Change of Basis

6 videos · 27m 34s

Vector Spaces

27 videos · 1h 27m 27s

Linear Combinations and Span

1 video · 20m 16s

Linear Dependence

12 videos · 1h 30s

Basis for Known Vector Spaces

3 videos · 28m 43s

Basis for a Solution Space, Homogeneous SLE

3 videos · 11m 18s

Basis of a Subspace of a Known Vector Space

2 videos · 5m 1s

Coordinate Vectors and Change of Basis

7 videos · 40m 46s

Introduction to Inner Product Spaces

10 videos · 1h 34m 54s

Norm and Distance

11 videos · 1h 2m 20s

Cauchy–Schwarz Inequality

10 videos · 36m 41s

Orthogonality

10 videos · 33m 6s

Orthogonal Complement

14 videos · 1h 16m 13s

Orthogonal Sets and Bases

12 videos · 1h 3m 4s

Gram Schmitt Process

5 videos · 29m 39s

Orthogonal Matrices

12 videos · 52m 21s

Orthogonal Transformations

17 videos · 1h 7m 5s

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

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

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

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