Dr. Luke's Lectures

Differential Equations: Laplace Transforms - The Dirac Delta Function

Differential Equations - Laplace Transforms: Transforms of an integral

Differential Equations: Laplace Transforms - Derivative of a transform

Differential Equations: Laplace Transforms - Translation on the t-axis (second translation theorem)

Differential Equations: Laplace Transforms - Translation on the s-axis (First Translation Theorem)

Differential Equations: Laplace Transforms of Derivatives

Differential Equations: Inverse Laplace Transforms

Differential Equations: Definition of the Laplace Transform

Differential Equations: Cauchy-Euler Equations

Differential Equations: Variation of Parameters

Differential Equations: Method of Undetermined Coefficients - Annihilator Approach

Дифференциальные уравнения: неопределённые коэффициенты – суперпозиционный подход

Differential Equations: Homogeneous Linear Equations with Constant Coefficients

Differential Equations: First Order Linear Models

Differential Equations: Solutions by Substitution

Differential Equations: Exact Equations

Differential Equations: Solving First Order Linear Equations with Integrating Factors

Differential Equations: First Order Equations - Separation of Variables

Differential Equations: Intro to Initial Value Problems

Differential Equations: Definitions and Terminology

College Alg & Trig II: The Inverse Sine, Cosine, and Tangent Functions

College Alg & Trig II: Binomial Theorem with Pascal's Triangle

College Algebra and Trig II - Properties of Rational Functions

College Algebra and Trig II: The Law of Cosines

College Algebra and Trig II: The Law of SInes

College Algebra and Trig II: Applications involving Right Triangles.

College Algebra and Trig II: Double-Angle and Half-Angle formulas

College Algebra and Trig II: Sum and Difference Formulas

College Algebra and Trig II: Trigonometric Identities

College Algebra and Trig II: Trigonometric Equations