James Hamblin

Polynomial Long Division in F[x]

Polynomial Long Division

Introduction to Probability: Examples

Multivariable Calculus: Flux Line Integrals

Decomposing a Force Vector on a Slope

Application Problem: Components of a Resultant Vector

Infinite Series Examples: Divergence Test

Using Remainder Estimates for the Integral Test

Trigonometric Integrals (OpenStax Calculus, Vol. 2, Section 3.2)

Area Between Curves #1 (OpenStax Calculus, Vol. 2, Section 2.1)

Integrals that Result in Inverse Sine

Properties of Power Series (OpenStax Calculus, Vol. 2, Section 6.2)

Working with Taylor Series (OpenStax Calculus, Vol. 2, Section 6.4)

Taylor and Maclaurin Series (OpenStax Calculus, Vol. 2, Section 6.3)

Power Series and Functions (OpenStax Calculus, Vol. 2, Section 6.1)

Ratio Test and Series Strategies (OpenStax Calculus, Vol. 2, Section 5.6)

Alternating Series (OpenStax Calculus, Vol. 2, Section 5.5)

Comparison Tests (OpenStax Calculus, Vol. 2, Section 5.4)

The Divergence and Integral Tests (OpenStax Calculus, Vol. 2, Section 5.3)

Infinite Series #2 (OpenStax Calculus, Vol. 2, Section 5.2)

Infinite Series #1 (OpenStax Calculus, Vol. 2, Section 5.2)

Sequences (OpenStax Calculus, Vol. 2, Section 5.1)

Basics of Differential Equations (OpenStax Calculus, Vol. 2, Section 4.1)

Improper Integrals (OpenStax Calculus, Vol. 2, Section 3.7)

Numerical Integration (OpenStax Calculus, Vol. 2, Section 3.6)

Partial Fractions #2 (OpenStax Calculus, Vol. 2, Section 3.4)

Partial Fractions #1 (OpenStax Calculus, Vol. 2, Section 3.4)

Trigonometric Substitution (OpenStax Calculus, Vol. 2, Section 3.3)

Trigonometric Integrals (OpenStax Calculus, Vol. 2, Section 3.2) [ERROR IN #2 SOLUTION]

Integration by Parts (OpenStax Calculus, Vol. 2, Section 3.1)

Physical Applications #2 (OpenStax Calculus, Vol. 2, Section 2.5)

Physical Applications #1 (OpenStax Calculus, Vol. 2, Section 2.5)

Volumes by Slicing #2 (OpenStax Calculus, Vol. 2, Section 2.2)

Volumes by Slicing #1 (OpenStax Calculus, Vol. 2, Section 2.2)

Area Between Curves #2 (OpenStax Calculus, Vol. 2, Section 2.1)

Linear Algebra Example: Determinants

Linear Independence Problems - Using the Definition

Precalculus Examples: Combining Trig Functions and Inverse Trig Functions

Trigonometry Examples: Reference Angles

Linear Algebra Example: The Singular Value Decomposition

Linear Algebra Example: Span Questions

Linear Algebra - Lecture 30 - Basis of a Subspace

Linear Algebra - Lecture 32 - Dimension, Rank, and Nullity

Linear Algebra - Lecture 31 - Coordinate Systems

Linear Algebra - Lecture 27 - Subspaces of R^n

Linear Algebra - Lecture 29 - Column Space of a Matrix

Linear Algebra - Lecture 28 - Null Space of a Matrix

Math for Liberal Studies - Lecture 3.8.1 Affine and Multiplicative Ciphers

Math for Liberal Studies - Lecture 3.8.2 A Brief Discussion of Public-Key Cryptography

Math for Liberal Studies - Lecture 3.7.2 The Vigenère and Autokey Ciphers