Date | Subject | Textbook Chapters | |
Sep 11 | AP Exam | ||
Sep 16 | Differentation and integration | E&P Chapters 3-6, 9 | |
Sep 18 | Infinite series | E&P Chapter 11 | |
Sep 23 | Plane analytic geometry | E&P Chapters 10, 12 | |
Sep 25 | First Midterm Exam | ||
Sep 30 | Review of the First Midterm Exam | ||
Oct 02 | Introduction to Ordinary Differential Equations: Examples | B Sections 1.1, 1.3, 1.5 | |
Oct 07 | Existence and uniqueness of solutions | B Section 1.10 | |
Oct 09 | Separable and linear first order ODEs | B Sections 1.4, 1.2 | |
Oct 14 | Fundamental inequality; Continuous dependence on initial condition and parameters | ||
Oct 16 | Second order linear ODEs | B Sections 2.1-2.3, 2.5 (2.6) | |
Oct 21 | Numerical methods for solving ODEs | B Sections 1.13, 1.15-1.17 | |
Oct 23 | Systems of first order ODEs: Introduction | ||
Oct 28 | 2-dimensional autonomous systems: Linear stability analysis Short review of material for the exam |
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Oct 30 | Second Midterm Exam | ||
Nov 04 | Review of Second Midterm Exam | ||
Nov 06 | Vectors in Space | E&P, Sections 12.1-12.4 | |
Nov 11 | Vector-valued Functions | E&P, Sections 12.5, 12.6 | |
Nov 13 | Functions of several variables, Partial Derivatives | E&P, Sections 13.1-13.4 | |
Nov 18 | Gradient, Directional Derivative, Extrema | E&P, Sections 13,8, 13.5, 13.10 | |
Nov 20 | Extrema under side conditions, Chain Rule, Differentials | E&P, Sections 13.9, 13.7, 13.6 | |
Nov 25 | Double Integrals | E&P, Sections 14.1-14.4 | |
Nov 27 | Triple Integrals, Surface Area, Change of Variables | E&P, Sections 14.6, 14.8, 14.9 | |
Dec 02 | Vector Fields, Line Integrals | E&P, Sections 15.1-3 | |
Dec 04 | Surface Integrals, Green's Theorem, Divergence Theorem, Stokes' Theorem | E&P, Sections 15.4-7 | |
Dec 09 | Review and Examples | ||
Dec 11 | Review and Teaching Evaluation | ||
Dec 12 | Reading Days | ||
Dec 21 18:30 |
Final Exam | No notes, no books, no calculators, no paper! |