MAT 135A (Fall 2025) materials

Complete lecture notes. Please let me know of any mistakes. You will receive extra credit commensurate with the resulting improvements.
Sample Midterm 1.
Sample Midterm 2.
Sample Final.

Go to the resources page for more sample exams.
Homework Assignment 1. Due, but not collected, on Tue., Oct. 7.
Homework Assignment 2. Due, but not collected, on Tue., Oct. 14.
Homework Assignment 3. Due, but not collected, on Tue., Oct. 21.
Midterm 1 will be on Fri., Oct. 24, 2025, in class. It covers the first four chapters of Lecture Notes, and first three homework assignments. Topics: combinatorial probability (permutations, combinations), consequences of the axioms (inclusion-exclusion), conditional probability, conditioning and Bayes' formulas, and independence. The exam will be based on what we covered in class, so you should understand all examples given in class and in the discussion. For practice, solve the latest Sample Midterm 1, then look at the solutions and solve it again. For more practice, there are several more past Midterm 1 exams on the resources page and the Practice Midterm 1 on pages 49-44 of the Lecture Notes. Homework problems are also good practice. You will not be able to ask interpretation questions during exams; proper interpretation of word problems is part of the exam.