These are handouts from past courses I have taught. Please let me know if you find them useful.
Math 195: Math Methods for Social Science
I taught Math 195 at the University of Chicago, during the Summer of 2009.
- Homework and Quiz 6
- Student Survey
- Homework and Quiz 1
- Midterm 2: Frequently Asked Questions
- Homework and Quiz 8
- Midterm 1
- Homework and Quiz 2
- Homework and Quiz 3
- Homework and Quiz 5
- Homework and Quiz 11
- Homework and Quiz 7
- Oral Exam Rubric
- Homework and Quiz 12
- Math195 Syllabus
- Homework and Quiz 9
- Properties of Limits
- Midterm 1: Frequently Asked Questions
- Final Exam: Frequently Asked Questions
- Homework and Quiz 4
- Homework and Quiz 10
Math 153: Calculus III
I taught Math 153 at the University of Chicago, during the Fall Quarter of 2008-2009.
- Practice Proof Problems
- Homework 6
- How to remember all trigonometric formulas
- Student Survey
- Homework 1
- Solution Set 2
- Midterm 2 Results
- Midterm 2 Review Sheet
- Midterm 1 Results
- Frequently Asked Questions about and on Final Exams
- Homework 8
- Recitation Sessions
- Homework 2
- Homework 3
- Homework 5
- Midterm 2
- Differential Equation Vocabulary
- Quartersquares: an old-fashioned way to multiply
- Facts about Limits.
- What now? What do I do next?
- Homework 11
- Some interesting sequences
- Homework 7
- Homework 12
- Math153 Syllabus
- Point nine repeating
- Homework 9
- A cool trick for limits of sequences
- Midterm 1 Review Sheet
- Homework 15
- Almost Trigonometic Functions
- Solution Set 1
- Homework 13
- Homework 14
- Calculus of Finite Differences
- Homework 3
- Facts about Limits
- Facts about series
- Taylor Series You Should Know
- Homework 4
- Virtual Review Session for Midterm 2
- Homework 10
- The 10-adic numbers
- Infinite Bridge Kit
- Homework 16
- End of the World
- Solution Set 2
Math 133: Elementary Functions and Calculus III
I taught Math 133 at the University of Chicago, during the Spring Quarter of 2005-2006.
- Take-Home Quiz 2
- Take-Home Quiz 5
- Syllabus
- Take-Home Quiz 6
- Take-Home Quiz 1
- Take-Home Quiz 4
- Take-Home Quiz 3
Math 131: Elementary Functions and Calculus I
I taught Math 131 at the University of Chicago, during the Fall Quarter of 2005-2006.
- Take-Home Quiz 2
- Take-Home Quiz 5
- Syllabus
- Take-Home Quiz 8
- Take-Home Quiz 6
- Take-Home Quiz 1
- Take-Home Quiz 7
- Take-Home Quiz 4
- Take-Home Quiz 3
Math 132: Elementary Functions and Calculus II
I taught Math 132 at the University of Chicago, during the Winter Quarter of 2005-2006.
- Take-Home Quiz 2
- Take-Home Quiz 5
- Syllabus
- Take-Home Quiz 6
- Take-Home Quiz 1
- Take-Home Quiz 4
- Take-Home Quiz 3
Polk Bros Program
Between Fall 2005 and Spring 2009, I visited Chicago Public Schools, where I taught elementary and middle school students in small groups and whole-classroom settings, and assisted Chicago public school teachers with pedagogy and their own study of mathematics.
- Goldbach Conjecture
- Cows and Chickens (Simultaneous linear equations)
- Coin flipping (probability)
- Sums of Squares
- Collatz Conjecture (Part 2)
- Collatz Conjecture (Part 1)
- Counting without counting (via the Chinese Remainder theorem)
- Chickens and cages (linear programming problem)
- Symmetries of a square
- Collatz Conjecture (Part 3)
Math 204–205: Inquiry-based Analysis
I taught Math 204 and Math 205 at the University of Chicago, during the Winter and Spring Quarters of 2008-2009.
- Little $o$ notation
- Dissection Problems
- Group actions on tensor products
- Inverse Function Theorem
- Examples of Metric Spaces
Undergraduate Lie Theory seminar
During Fall Quarter of 2006-2007, I organized an undergraduate seminar on Lie groups; the students gave short talks after having read through Frank Adams' book Lectures on Lie Groups.