- Colloquium
- Wednesday, Dec. 3, 2:30 PM
- Newton 201
- “Learning with Leibniz”
- Prof. Olympia Nicodemi
- Extra credit for going and writing a 1-paragraph summary/review
- SOFIs
- Final Exam
- Wednesday, Dec. 10, 12:00 Noon
- Usual classroom
- Comprehensive but emphasizing material since 2nd hour exam (e.g., Riemann sums, fundamental theorem, definite integrals, substitution, integral applications, etc.)
- Designed for 2 hours, you’ll have 3
- Otherwise similar rules and format to hour exams, esp. open references and computers
- Donuts and cider
- Review session?
- Maybe study day?
- Problem set 9, question 4
- Limit of Riemann sums over [0,1] of 3x2
- Limit of Riemann sums over [0,1] of 3x2
- Section 5.5
- Running the chain rule backwards?
- 3 steps to integrate f(g(x)) g′(x) dx
- Substitute u for g(x)
- du = g′(x)dx
- to only have to integrate f(u) du
- Integrate wrt u
- Replace u w/ g(x)
- Substitute u for g(x)
- Running the chain rule backwards?
- Examples
- Inserting multiplicative constants to allow substitution
- With 2 choices of substitution to use
- Inserting multiplicative constants to allow substitution
- More substitution
- Read “The Substitution Formula” subsection of section 5.6