Antiderivatives and Differential Equations
Area Under a Graph (Book Examples) Solutions
Finding Sums and Summation Notation Video
Area Applications - Pathogenesis and Velocity
Properties of Definite Integrals
Evaluating Integrals for Odd and Even Functions
The Fundamental Theorem of Calculus Video
FTC Word Problems (From Sec 5.3) Video
Sec. 5.3, #57 (Growth of Fish)
Integration By Parts Video Video (Circular IBP)
U-Substitution, Then Partial Fractions
Average Length of a Fish (Similar to 6.2, #18)
Biology Applications of Integrals (Survival and Renewal, Cardiac Output) Blank Handout for Class
Drug Concentration Using the Survival and Renewal Model
Volume Common to Two Spheres.pdf
Intro to Differential Equations Video
More Examples of Analyzing DE's (Sec 7 - 1)
Equilibria and Stability (Logistics Growth and the Allee Efect) Video
Stability Using the Derivative
Solving DE's by Separation of Variables Video
Infectious Disease Model and Levin Metapopulation Model
Direction Fields Euler's Method Example Video
Euler's Method Graphically and Numerically (Solutions) Blank Copy
Tumor Growth, Tank, Glucose Administration Examples.pdf
Solving a DE With a Substitution (7.4, #22)
Integrating Factor Method (FOLDE) *Not all professors will cover this!
Tank Problem Requiring the Integrating Factor Technique
Chapter 7 Test Review Problems
Midterm 2 Review Problems (5.8 - 7.4)
Vector Projection Examples Video
Intro to Matrices Nonzero Matrix Whose Square is a Zero Matrix
Modeling With Matrices (Class Handout).pdf Modeling With Matrices (Class Handout) Solutions Video
Modeling With Matrices (Book Examples) Matrix Model (Drug Diffusion)
Using the Inverse to Solve a Matrix Equation Video Solving a Linear System (Word Problem, 8.6, #36)
Determinants and Inverses of Matrices
What Happens When You Multiply a Matrix By a Vector
Eigenvalues and Eigenvectors Video
How to Decide if a Number is an Eigenvalue or a Vector is an Eigenvector
Matrix to a Power Times a Vector - a Leslie Matrix Example Video
An Iterated Matrix Example With A Leslie Matrix
Iterated Matrices (Book Examples)
An Iterated Matrix Problem With Complex Eigenvalues (8.8, 31) Video
17B Final Review Problems Solutions (1 - 18) (19 - 39) (40 - 44) (45 - 50)