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Linear dependence and independence of vectors.

Calculating determinants using the elimination method and Cramer's Rule.

Calculating determinants using the method of minors and cofactors.

Finding the inverse of a square matrix.

Matrix operations and properties of matrices.

Systems of Linear Equation: Gaussian Elimination with back-substitution and Gauss-Jordan Elimination.

A guide to completing the first Maple assignment.

Systems of Linear Equation: Gauss-Jordan Elimination

Review of First-Order Applications : 1.4 Newton's Law of Cooling - 1.4 Radioactive Decay - 1.5 Mixture Problems - 2.1 Population Growth Models - 2.3 Velocity and Air Resistance

Systems of Linear Equations: Gauss-Jordan Elimination

An introduction to solving systems of linear equations.

Modeling velocity for vertical motion, when air resistance is proportional to velocity.

Population Growth Models: The Logistic Model & The Doomsday/Extinction Model

Section 006 - Review of sections 5.5, 6.1, 6.2, 6.3 and 6.5 for exam 1.

Section 008 - Review of sections 5.5, 6.1, 6.2, 6.3 and 6.5 for exam 1.

Population Growth Models: The Logistic Model

Population Growth Models: Exponential Growth Model - Doomsday Model

Applications of 1st-order differential equations - Radiocarbon Dating - Mixture Problems

Applications of 1st-order differential equations - Newton's Law of Cooling - Mixture Problems

The Improved Euler's Method for approximating solutions to first-order initial-value problems.

Using Euler's Method to approximate the solution to an initial-value problem.

1.3 Direction Fields / Existence & Uniqueness Theorem 1.4 Separable Equations 1.5 First-order Linear Equations 1.6 Exact Equations & Integrating Factors

Exact Equations: Finding integrating factors.

Verifying and solving exact equations.

Solving first-order linear differential equations using the integrating factor.