Math All Day with Dr. George Sweeney

Scalar Line Integrals

Boolean Functions

Cardinality Countable Sets

Differential Equations- Vector Differential Equations- Defective Coefficient Matrices

Direct Proof- Basics and Even and Odd

Limits of functions in several variables-

How do I solve differential equations for piecewise functions?

Discrete Math- Rules of Exponents Review

Inverse Laplace Transforms - Basic

Basic Mixture Problems using first order linear differential equations

The Second Shifting Theorem and the Unit Step Function

Solving Systems of Differential Equations using Laplace Transforms

Laplace Transforms of Piecewise Functions

Orthogonal Trajectories and Families of Functions

Discrete Math- Rules of Logarithms

Finding Laplace Transforms

Using the Convolution Theorem to Do Laplace Transforms

The Structure of Boolean Algebra

Shape, Center, Spread, and Outliers

Laplace Transfroms-The First Shifting Theorem

Explicit forms for arithmetic series

Divergence Theorem for Non-closed or non-simple volume

Decomposing a matrix into Elementary matrices

Parametrizing Surfaces

Green's Theorem for Simply Connected Regions

Gaussian Elimination No solution example

Onto Functions- Definition and Examples

Linear and Differential Operators Notation and basic rules

Explicit formulas for geometric series

Chinese Remainder Theorem

Vector Line Integrals

Proving a Function is Onto- Discrete Math

Conditional Logic

Using Elementary Row Matrices to Do Row Reduction

Defining the Laplace Transform

Scalar Line Integrals

General Theory of Higher Order Differential Equations- Notation

Proving explicit formulas for recurrence relations using induction

What is a parabola and how do I graph one?