This is the course webpage for MATH 70 at the University of California Los Angeles for Fall 2025, an introductory course in probability.
The official UCLA suggested content of the course consists of Chapters 1-13 of the book Understanding Probability (3e) by Tijms.
I would personally recommend the relevant sections (as summarized in the syllabus) of the textbook Probability and Statistical Inference (10e) by Hogg, Tanis and Zimmerman, which is typically used in Math 170E.
The textbooks are both available for free on the internet if you know where to look. The syllabus is available here.
Lecture takes place 2:00-2:50 pm in Haines Hall A25. Office hours will be 12-1 on Monday, or by appointment,Â
The homeworks are available below:
This course is given as a blend of traditional lecture and active learning style:
Traditional lecture: The definitions, statements of results, and outlines of examples are given in the slides (linked below after each class), while the proofs of results, and details of examples are done at the chalk board.
Active learning: After each group of new concepts is introduced, a set of discussion questions are posted. Students are given 5-10 minutes to work on the problems and discuss with eachother, and then I'll discuss the solutions at the chalk board; this portion of the class follows the usual 'think-pair-share' paradigm of active learning.
Warning: The slides below represent only a small subset of the information dispersed in class. I recommend attending every lecture and engaging during the active learning periods to maximize your learning.
Slides:
Week 1 Class 1 Class 2 Class 3
Week 2 Class 4 Class 5 Class 6
Week 3 Class 7 Class 8 Class 9
Week 4 Class 10 Class 11 Class 12
Week 5 Class 13 Class 14 MIDTERM 1
Week 6 Class 16 Class 17 Class 18
Week 7 Class 19 Class 20 Class 21
Week 8 Class 22 Class 23 MIDTERM 2
Week 9 Class 25 Thanksgiving break!
Week 10 Class 28 Class 29 Review
Week 11 TUESDAY DECEMBER 9 FINAL EXAM