Calculus of One and Several Variables
Last updated March 25 , 2002
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Day 1: 3/27 | 10.1, 10.2 | General DEs, models, direction fields (skip Euler's method) |
| Day 2: 3/29 | 10.3, 10.4 | Separable equations (skip orthogonal trajectories), exponential growth |
| Day 3: 4/1 | 8.1, 10.6 | Integration by Parts(quickly), First Order Linear Differential Equations |
| Day 4: 4/3 | 10.6, Appendix G | First Order Linear DE applications, Complex Numbers |
| Day 5: 4/5 | Appendix G, 18.1 | Complex Numbers, Second order linear DEs |
| Day 6: 4/8 | 18.1 | Second order linear DEs (continued) |
| Day 7: 4/10 | 18.3 | Applications of Second order linear DEs |
| Day 8: 4/12 | 12.1, 12.2 | Sequences, series (geometric, p-series - state result if insufficient time) |
| Day 9: 4/15 | 12.8, 12.9 | Power Series, Representing functions as power series |
| Day 10: 4/17 | 12.10 | Taylor Series |
| Day 10 4/17 | h[h[h][ | First Hour Exam 6 - 8 pm |
| Day 11: 4/19 | 12.10 | Error Estimates on Talyor polynomials (no physics applications required), no multiplication or division of power series |
| Day 12: 4/22 | 13.1, 13.2 | Three dimensional coordinate systems, vectors |
| Day 13: 4/24 | 13.3 | Dot products (no direction cosines) |
| Day 14: 4/26 | 13.4 | Cross products |
| Day 15: 4/29 | 13.5 | Equations of lines |
| Day 16: 5/1 | 13.5 | Equations of planes |
| Day 17: 5/3 | 14.1, 14.2 | Vector functions and space curves, derivatives of vector functions (skip integrals, |
| Day 18: 5/6 | 14.3, 14.4 | Arc length (skip curvature), velocity and acceleration (motion problems)), |
| Day 19: 5/8 | 15.1, 15.2 | Functions of several variables, limits, continuity |
| Day 19 5/8 | h['h'h | Second Hour Exam 6 -- 8 PM |
| Day 20: 5/10 | 15.3 | Partial derivatives (skip Cobb-Douglas function) |
| Day 21: 5/13 | 15.4 | Tangent planes and approximation |
| Day 22: 5/15 | 15.5 | Chain rule (skip implicit differentiation) |
| Day 23: 5/17 | 15.6 | Directional derivative and gradient |
| Day 25: 5/20 | 15.7 | Maxima and minima |
| Day 26: 5/22 | 15.7 | Maxima and minima (cont.) |
| Day 27: 5/24 | 15.8 | Lagrange multipliers |
| Memorial Day | Memorial Day, College Holiday | |
| Day 28: 5/29 | 15.8 | Lagrange multipliers (cont.), Loose ends, questions, etc. |
| Last modified on March 25, 2002
Graphics by The Gimp. |