Date Chapter.Section/Topics or Page/Problems M Jan 6 Lecture 1: Introduction: ordinary derivatives Assignment 1 Due Friday January 24 W 8 Lecture 2: convexity M 13 Lecture 3: partial derivatives Assignment 2 Due Friday January 31 W 15 Lecture 4: partial derivatives and the structure of ordinary differential equations M 20 Holiday W 22 Lecture 5: ordinary differential equations and partial differential equations =============================================================================== =============================================================================== M March 17 Holiday W March 19 Holiday =============================================================================== =============================================================================== ============Tentative Due Dates============= Assignment 3 Due Friday Febuary 7 Assignment 4 Due Friday Febuary 21 Assignment 5 Due Friday FEbuary 28 Assignment 6 Due Friday March 14 Assignment 7 Due Friday March 28 Assignment 8 Due Friday April 4 Assignment 9 Due Friday April 11 =============================================================================== =============================================================================== F April 25 Final Exam 11:20-2:10 Final Assignment Due Friday April 25 =============================================================================== =============================================================================== =============================================================================== =============================================================================== =============================================================================== =============================================================================== =============================================================================== =============================================================================== =====================Old Schedule Spring 2023====================== Assignment 2 Due Wednesday February 1 Assignment 3 = Exam 1 Due Wednesday February 8 W 18 Lecture 3: differentiability and continuity M 23 Lecture 4: multivariable power series Assignment 4 Due Wednesday February 15 W 25 Lecture 5: Assignment 5 Due Wednesday February 22 M 30 Lecture 6: continuous (partial) differentiability (C^1) implies continuity Assignment 6 = Exam 2 Due Wednesday March 1 W Feb 1 Lecture 7: Full differentiability for functions of several variables modeling the slinky (preliminaries---step zero) M 6 Lecture 8: What we didn't do: continuous (partial) differentiability implies full differentiability modeling the slinky (preliminaries) What we actually did: Directional derivatives, parameterized curves, and first order PDE (also a review of ODE) W 8 Lecture 9: What we didn't do: First Order Quasilinear PDE Method of Characteristics What we actually did: Started talking about integration...along with weak derivatives and compactly supported functions M 13 Lecture 10: smooth compactly supported functions and hopefully some PDE Assignment 7 Due Wednesday March 8 W 15 Lecture 11: Lagrange multipliers (graphs, level sets, parameterized curves, etc.) Slinky data (coil measurements) taken so far (Mathematica notebook) Slinky data (coil measurements) taken so far (pdf format) M 20 Lecture 12: no lecture Assignment 8 Due Wednesday March 15 W 22 Lecture 13: d'Alembert's solution via the method of characteristics Assignment 9 Due Wednesday March 29 M 27 Lecture 14: Integration (definition) W Mar 1 Lecture 15: Integration (Fubini's theorem and change of variables) Assignment 10 Due Wednesday April 5 M 6 Lecture 16: Special integrands The divergence and the divergence theorem Assignment 11 Due Wednesday April 12 W 8 Lecture 17: Derivation of the heat equation(s) M 13 Lecture 18: Philosophy and integration Assignment 12 Due Wednesday April 17 W 15 Lecture 19: canceled (?) M 20 Spring Break W 22 Spring Break M 27 Lecture 19: Laplace's equation Derivation via calculus of variations Assignment 13 Due Wednesday April 22 W 29 Lecture 20: M Apr 3 Lecture 21: Calculus of variations W 5 Lecture 23: M 10 Lecture 24: W 12 Lecture 25: Final Assignment Due Wednesday May 3 M 17 Lecture 26: W 19 Lecture 27: M 24 Lecture 28 (last lecture): F Apr 28 Final Exam 11:20-2:10 Th May 4 Game Over