math 111: calculus
- Instructor: Kyle Ormsby
- Syllabus
- Textbook: Active Calculus
- Videos: Chapters 1-4, Chapters 5-6
- Reading reflections
- Zulip
- Course meetings:
- F01: MWF 13:40-14:30 in Lib 204
- F02: MWF 14:40-15:30 in Lib 204
- Office hours: W 15:30-16:30, Th 13:00-14:00 in Lib 306
- Scheduling link
- Course assistant: Acadia MacDonald
- Problem session: TuW 17-18 in Lib 204
- Drop-in tutoring: SuMTuWTh 19-21 in Lib 204
week 1
Wednesday 3 September: Welcome and warm up, syllabus, learning tracker
Friday 5 September: How do we measure velocity?, demo
week 2
Monday 8 September: The notion of limit
Wednesday 10 September: The derivative of a function at a point, demo
Friday 12 September: Quiz (D.1, D.2), The derivative function, demo
week 3
Monday 15 September: Interpreting, estimating, and using the derivative
Wednesday 17 September: The second derivative
Friday 19 September: HW due, Limits, continuity, and differentiability
week 4
Monday 22 September: The tangent line approximation
Wednesday 24 September: Elementary derivative rules
Friday 26 September: Quiz (D.3, DR.1)
week 5
Monday 29 September: The sine and cosine functions, demo
Wednesday 1 October: The product and quotient rules
Friday 3 October: HW due, Derivatives of other trigonometric functions
week 6
Monday: The chain rule
Wednesday: Derivatives of inverse functions, demo
Friday: Quiz (DR.2, DR.3, DR.4)
week 7
Monday: Derivatives of functions given implicitly, demo 1, demo 2
Wednesday: Related rates
Friday: HW due, Using derivatives to identify extreme values
fall break
week 8
Monday: Global optimization
Wednesday: Applied optimization
Friday: Quiz (AD.1, AD.2, AD.3)
week 9
Monday: Determining distance traveled from velocity
Wednesday: Riemann sums
Friday: HW due, The definite integral
week 10
Monday: The fundamental theorem of calculus
Wednesday: Constructing accurate graphs of antiderivatives
Friday: Quiz (I.1, I.2, I.3)
week 11
Monday: The second fundamental theorem of calculus
Wednesday: Integration by substitution
Friday: HW due, Integration by parts
week 12
Monday: Other options for finding algebraic antiderivatives
Wednesday: Using definite integrals to find area and length
Friday: Thanksgiving break 🦃
week 13
Monday: Using definite integrals to find volume
Wednesday: Density, mass, and center of mass
Friday: Quiz (AI.1, AI.2)
week 14
Monday: A glimpse of Taylor series
Wednesday: Student choice
Friday: Reading period 📚 (optional review session TBA)
finals week
Wednesday Dec 17: Final exam 6-8pm in Eliot 314