Below is a list of topics we will cover, in order. The sections correspond to the textbooks listed on the syllabus. Please see the class notes to determine what sections were covered during each lecture.
- Parametrization of curves (Stewart 9.1)
- Arclength of curves (Stewart 9.2)
- Line integrals of real valued functions (Stewart 13.2)
- Vector fields and line integrals on vector fields (Stewart 13.1-13.2)
- The fundamental theorem of line integrals (Stewart 13.3)
- Double integrals Review (Stewart 12.1-12.2)
- Green’s theorem (Stewart 13.4)
- Parametric surfaces and their areas (Stewart 13.6)
- Surface Integrals (Stewart 13.7)
- Divergence of a vector field (Stewart 13.5)
- Divergence theorem (Stewart 13.9)
- Intro to sequences (Stewart 8.1)
- Series (Stewart 8.2)
- Integral and comparison tests (Stewart 8.3)
- Alternating series test, ratio, and root test (Stewart 8.4)
- Power series and convergence (Stewart 8.5)
- *Intro to linear programming and Duality theory (Sydsaeter 17.1-17.3)
- *Applications: Shadow pricing (Sydsaeter 17.4-17.5)
- *Game Theory
*time permitting