Tu/Th 10:00am - 11:50am in TH 321
This course complements MATH 180, but goes beyond the material and focuses on how to solve problems and effectively express mathematical arguments rather than on just getting the right solution. We will be working collaboratively in groups, completing worksheets based on course material. You are expected to be prepared and engaged in the course, and to focus on figuring things out for yourselves, explaining them to each other, and presenting them to the whole class.
Office Hours: Wed 11:00 AM - 12:00PM, Thurs 2:00 - 3:00 PM, or by appointment, in the MSLC
Note: Some worksheets have typos. I welcome any corrections!
Week 1 Tuesday: Introduction
Week 1 Thursday: Limits
Week 2 Tuesday: More Limits
Week 2 Thursday: Limits Galore
Week 3 Tuesday: Sequences & Infinite Limits
Week 4 Tuesday: Derivatives
Week 4 Thursday: Computing Derivatives
Week 5 Tuesday: Trig Functions
Week 5 Thursday: Chain Rule
Week 6 Tuesday: Exam 1 Review
Week 6 Thursday: Nim (no worksheet)
Week 7 Tuesday: Implicit Differentiation, Logarithmic Differentiation, and Inverse Trig
Week 7 Thursday: Related Rates
Week 8 Tuesday: Extrema & the Mean Value Theorem
Week 8 Thursday: More Extreme Values
Week 9 Tuesday: Graphing Functions
Week 9 Thursday: Optimization & Review
Note: Week 10 was cancelled due to COVID-19. Weeks 11 and onwards are moved online.
Week 11 Tuesday: Review of Limits & Optimization
Week 11 Thursday: L'Hopital's rule
Week 12 Tuesday: More L'Hopital's rule & Linear Approximation
Week 12 Thursday: Antiderivatives
Week 13 Tuesday: Riemann Sums
Week 13 Thursday: Definite Integrals
Week 14 Tuesday: More Definite Integrals
Week 14 Thursday: The Fundamental Theorem of Calculus
Week 15 Tuesday: More Fundamental Theorem of Calculus
Week 15 Thursday: Working with Integrals