19B Notes and Practice Materials
Addition and Multiplication Principles of Counting (Sec 7.1) Solutions
Permutations and Combinations (Sec 7.2) Solutions
Probability and Counting Techniques (Sec 8.4) Solutions
Random Variables and Distributions Solutions
Bernoulli Trials and Binomial Random Variables Solutions
Intro to Measures of Central Tendency and Dispersion
Measures of Central Tendency (Sec 9.3) Solutions
Measures of Dispersion (Sec 9.4) Solutions *Mistake - Variance on #1 should be 29
Midterm 1 Review Problems (*from textbook) Solutions
Systems of Linear Equations (Sec 4.1, 4.3) Solutions
Using Matrices to Solve Systems of Linear Equations (Sec 4.2) Solutions
Matrix Equations and Inverses (Sec 5.3)
More Examples of Matrix Equations and Inverses (Sec 5.3) Solutions
Game Theory (Sec 5.4) Textbook Examples
Game Theory (One or Two Fingers, Rock Paper Scissors)
Optimal Strategy for Rock Paper Scissors and One Finger Two Fingers
Game Theory (More Textbook Examples) Solutions *Note: Error in #3 solution, but answer is correct!
Input-Output Models (Book Examples) Solutions
Solving Linear Programming Problems Graphically (Sec 6.2) Solutions
Linear Programming Applications Solutions
Simplex Method Examples Solutions
More Simplex Method Examples (Standard Maximization) Solutions
The Simplex Method for Non-Standard Optimization (Sec 6.4) Solutions
The Simplex Method and Duality (Sec 6.5) Solutions
Midterm 2 Review Problems Solutions
Antiderivatives and the Indefinite Integral
The Indefinite Integral (Applications) Solutions
The Substitution Method (Sec 13.2)
Substitution Application Problems Solutions
Riemann Sums and the Definite Integral (Sec 13.3) Solutions
The Fundamental Theorem of Calculus (Sec 13.4)
FTC Application Problems Solutions
More Definite Integrals and Area
Integration By Parts (Sec 14.1)
Integrals Involving Absolute Value
Area Between Two Curves (Sec 14.2)
Area Between Two Curves (Applications)
Averages and Moving Averages (Sec 14.3) Solutions
Midterm 3 Review Problems Solutions
Consumers' and Producers' Surplus, Continuous Revenue Streams Solutions