Math 17B Class Handouts
Summation Rules
A Bouncing Ball Example
The Limit Definition of the Definite Intagral
Properties of the Definite Intagral
Mean Value Theorem and Fundamental Theorem of Calculus
Even and Odd Functions
In-Class Examples of Applications for Definite Integrals
Average Value of a Function
Example of Computing Arc Length
Integration by Parts Derivation and Example
Types of Partial Fractions Problems with Examples
Estimating the Value of the Definite Integral with Midpoint and Trapezoidal Rules
Constructing Taylor Polynomials
A Function and its Taylor Polynomials
Differential Equations
Plotting Data on Semi-Log Graph Paper
In-Class Examples of Mixture Problems
Solution to Mixture Problem 2
Equilibria and Stability
Rules for Matrix Row Reduction with Example
Matrix Rules
Inverses and Determinants of Matrices
Leslie Matrices for Population Models with Discrete Breading Seasons
Vectors in 2D
Eigenvalues and Eigenvectors for Two-by-Two Matrices
Using Eigenvalues and Eigenvectors to Solve Matrix Algebra Problems
Eigenvalues, Leslie Matrices, and Stable Age Distributions