General Information | Syllabus | Homework Assignments | Exam Related |
Lectures | Sections in Text | Brief Description |
---|---|---|
Day 1: 9/24 | 10.1, 10.2 | General DEs, models, direction fields (skip Euler's method) |
Day 2: 9/26 | 10.3, 10.4 | Separable equations (skip orthogonal trajectories), exponential growth |
Day 3: 9/29 | 8.1, 10.6 | Integration by Parts (quickly), First Order Linear Differential Equations |
Day 4: 10/1 | 10.6, Appendix G | First Order Linear DE applications, Complex Numbers |
Day 5: 10/3 | Appendix G, 18.1 | Complex Numbers, Second order linear DEs |
Day 6: 10/6 | 18.1, (18.3 optional) | Second order linear DEs; (Optional applications: vibrating springs and damped vibrations) |
10/7 | Last day to add/drop | |
Day 7: 10/8 | 12.1, 12.2 | Basics about sequences and series; geometric series |
Day 8: 10/10 | 12.3, 12.4, 12.5 | Comparison test; Alternating series; Absolute convergence (quickly) |
Day 9: 10/13 | 12.6, 12.8, | Ratio test; Power Series |
Day 10: 10/15 | 12.9, 12.10 | Representing functions as power series; Taylor Series |
Day 11: 10/17 | 12.10 | Taylor Series |
Day 12: 10/20 | 12.12 | Error estimates on Talyor polynomials (skip Example 3) |
10/20 evening | First Midterm 6 - 8 pm | |
Day 13: 10/22 | 13.1, 13.2 | Three dimensional coordinate systems, vectors |
Day 14: 10/24 | 13.3, 13.4 | Dot products, Cross products |
Day 15: 10/27 | 13.5 | Equations of lines |
Day 16: 10/29 | 13.5 | Equations of planes |
Day 17: 10/31 | 14.1, 14.2 | Vector functions and space curves, derivatives of vector functions |
Day 18: 11/3 | 14.3, 14.4 | Arc length (Skip binormal), velocity and acceleration (Skip Kepler), |
Day 19: 11/5 | 15.1, 15.2 | Functions of several variables, limits, continuity |
Day 20: 11/7 | 15.3 | Partial derivatives (skip Cobb-Douglas function) |
Day 21: 11/10 | 15.4 | Tangent planes and approximation |
11/10 evening | Second Midterm 6 - 8 pm | |
Day 22: 11/12 | 15.5 | Chain rule |
Day 23: 11/14 | 15.5, 15.6 | Chain rule (cont.), Directional derivative and gradient |
11/14 | Last day to drop | |
Day 24: 11/17 | 15.6 | Directional derivative and gradient (cont.) |
Day 25: 11/19 | 15.7 | Maxima and minima |
Day 26: 11/21 | 15.7 | Maxima and minima (cont.) |
Day 27: 11/24 | 15.8 | Lagrange multipliers |
11/26 - 11/31 | Thanksgiving break | |
Day 28: 12/1 | 15.8 | Lagrange multipliers (cont.), Loose ends, questions, etc. |
Day 29: 12/3 | -- | Review etc. |