17B New Book (Stewart)

 Antiderivatives and Differential Equations 

Area Under a Graph Video 

Area Under a Graph (Book Examples) 

Finding Sums and Summation Notation Video 

Area Applications - Pathogenesis and Velocity 

The Definite Integral Video 

 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) 

The Substitution Method Video 

More Substitution Practice 

Integration By Parts Video Video (Circular IBP)

Partial Fractions Video 

 U-Substitution, Then Partial Fractions 

Improper Integrals Video 

Area and Average Value Video 

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 

Blood Flow (Poiseulle's Law) 

 Volumes of Solids 

 Volume Common to Two Spheres.pdf

Practice Problems (5.4 - 6.4) 

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

More Separable DE's Examples 

Solving a DE With a Substitution (7.4, #22) 

Integrating Factor Method (FOLDE)   *Not all professors will cover this!

Tricky WebWorks FOLDE Problem 

 Tank Problem Requiring the Integrating Factor Technique

 Chapter 7 Test Review Problems 

 Graphing in 3 Dimensions   

 Antigenic Cartography

 Intro to Vectors Video 

 The Dot Product Video 

 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

 Sec(8-8), 37

 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)