| Date | Topic and Book Section | Practice Problems | Slides | Calendar Reminders |
|---|---|---|---|---|
| Aug 22 | Introduction to the class | None | Here | None |
| Aug 23 | Vectors in Space, 10.2 | Ex 10.2: 17, 26, 35, 57, 67 | Here | None |
| Aug 24 | Dot Products, 10.3 and last part of 10.5 | Ex 10.3: 4, 15, 40; Ex 10.5: 22, 42 | Here | None |
| Aug 27 | Cross Products, 10.4 and first part of 10.5 | Ex 10.4: 2, 4, 8, 16, 18 | Here | None |
| Aug 29 | More Dotting and Crossing | Not yet available | Here | None |
| Aug 30 | Vector-Valued Functions: Space Curves, 11.1 | Ex 11.1: 3, 11, 19, 31, 39 | Here | Homework 1 due |
| Aug 31 | Arc Length, Acceleration, and Curvature, 11.3 | Ex 11.3: 2,7, 13 | Here | None |
| Sep 3 | . | . | . | No Class - Labor Day |
| Sep 5 | More on Arc Length and Curvature | Ex 11.4: 4, 21 | None | None |
| Sep 6 | Quadrics, 10.6, and Generalized Coordinate Systems, 10.7 | Ex 10.6: 2,4,6,8 and Ex 10.7: 12,26 | None | Homework 2 due. May delay until tomorrow with NO penalty. |
| Sep 7 | Review and discussion | None today | None | Late homework accepted with NO penalty today. Finish `Vectors and Geometry' section. |
| Sep 10 | Partial Derivatives, 12.3 | Ex 12.3: 4, 8, 18, 26, 30 | Here | None |
| Sep 12 | More on Partial Derivatives, 12.3 and 12.4 | Ex 12.3: 46, 59, 60, 67, 75 | None | |
| Sep 13 | This class was canceled owing to a bomb threat. | . | . | Test 1 CANCELED |
| Sep 14 | Higher Partial Derivatives | Ex 12.4: 5,6,23,26 | . | None |
| Sep 17 | Linearization and Directional Derivatives, 12.4 and 12.7 | Ex 12.4: 18,20 | Lecture notes | None |
| Sep 19 | The Chain Rule, 12.5 and 12.6 | Ex 12.7: 15, 28, 31 | Lecture notes | None |
| Sep 20 | The Chain Rule, 12.5 and 12.6 | Ex 12.5: 2,7,18,28,40. | Here | Homework 3 due |
| Sep 21 | The Chain Rule, 12.5 and 12.6 | Ex 12.6: 4,7,10,12 | . | None |
| Sep 24 | Taylor's Theorem, 12.10 | Ex 12.10: 2,7,11 | . | None |
| Sep 26 | Taylor's Theorem, 12.10 | Ex 12.8: 2, 12, 27, 28, 30 (Just find the critical points) | . | None |
| Sep 27 | Maxima and Minima, 12.8 and 12.9 | Ex 12.8: 12, 30, 32, 40, 41 | Here | Homework 4 due |
| Sep 28 | Maxima and Minima, 12.8 and 12.9: Lagrange Multipliers | Ex 12.9: 5, 15, 26, 31 | . | Practice problems will be reviewed October 3rd |
| Oct 1 | TEST | TEST | TEST | Test 1 (postponed from September 13th) |
| Oct 3 | Review and discussion | . | . | Finish `Partial derivatives' section. |
| Oct 4 | TEST | TEST | TEST | Test 2 |
| Oct 5 | Curvilinear Coordinates and Partial Derivatives | . | Here | None |
| Oct 8 | . | . | . | No Class - Fall Break |
| Oct 10 | Multiple Integrals: Double Integrals 13.1 | Ex 13.1: 2, 6, 31, 41 | . | Office Hour rescheduled to 1:30 |
| Oct 11 | More Double Integrals 13.1 | Ex 13.1: 37, 49 | . | Homework 5 due |
| Oct 12 | Applications of Double Integrals 13.2 | Ex 13.2: 18, 25, 36, 49 | . | Office hour rescheduled to 11.15-12.00. Homework 5 may be handed in today with NO penalty |
| Oct 15 | Double Integrals in Polar Coordinates 13.3 | Ex 13.3: 4,9,24,35 | . | None |
| Oct 17 | Triple Integrals 13.4 | Ex 13.4: 7, 16, 26, 29 | . | None |
| Oct 18 | Triple Integrals in Generalized Coordinates 13.6 | Ex 13.6: 3, 14, 21, 38 | . | Homework 6 due. Instructor out of town; class will be taken by Professor Nigel Higson. |
| Oct 19 | Triple Integrals in Generalized Coordinates 13.6 | . | . | Instructor out of town; class will be taken by Professor Nigel Higson. |
| Oct 22 | Change of Variable in Multiple Integrals 13.7 | Ex 13.6: 70, 75, 84 | . | None |
| Oct 24 | Change of Variable in Multiple Integrals 13.7 | . | Ex 13.7: 1,8 | None |
| Oct 25 | TEST | TEST | TEST | Test 3 |
| Oct 26 | More about Change of Variable | . | Here | Finish Multiple Integrals section |
| Oct 29 | Vector Fields and Operators | . | . | . |
| Oct 31 | Vector Fields and Operators | . | Here | None |
| Nov 1 | Line Integrals | Ex 14.1: 11, 24, 29. | . | Homework 7 due |
| Nov 2 | Applications of Line Integrals | Ex 14.2: 13, 18, 24 | . | None |
| Nov 5 | Conservative Vector Fields | Ex 14.3: 8, 14, 33, 34 | . | Instructor out of town; class will be taken by Professor Nigel Higson. |
| Nov 7 | NO CLASS | NO CLASS | NO CLASS | Use class time to work on Honors Projects. |
| Nov 8 | Green's Theorem | . | . | Homework 8 due |
| Nov 9 | Green's Theorem | Ex 14.4: 2,4,5,9 | . | None |
| Nov 12 | More on Green's Theorem | . | . | None |
| Nov 14 | Surface Integrals 14.6 | Ex 14.6: 17,24,29,32 | Here | None |
| Nov 15 | TEST | TEST | TEST | Test 4 |
| Nov 16 | Surface Integrals 14.5 | . | . | None |
| Nov 19 | Surface Integrals | . | . | None |
| Nov 21 | . | . | . | No Class - Thanksgiving |
| Nov 22 | . | . | . | No Class - Thanksgiving |
| Nov 23 | . | . | . | No Class - Thanksgiving |
| Nov 26 | Flux Integrals | 14.7: 2,4,7,8 | . | None |
| Nov 28 | Stokes' and Divergence Theorems | 14.8: 5,7,12 | . | None |
| Nov 29 | Stokes' and Divergence Theorems | . | . | . |
| Nov 30 | Stokes' and Divergence Theorems | . | . | Homework 9 due |
| Dec 3 | PRACTICE EXAM | PRACTICE EXAM | PRACTICE EXAM | PRACTICE EXAM |
| Dec 5 | . | . | . | None |
| Dec 6 | . | . | . | None |
| Dec 7 | Review session | . | . | Last day of class. Honors projects due. Finish `Vector analysis' section. |
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