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Jump To: August/September, October, November, December
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Course Procedures |
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Wednesday, Sept. 2 |
World of Curves | Sections 2.5 and 3.1 through example 3.12 | Section 2.5: 1, 2, 4, 7, 10, 11, 16, 17, 20, 23, 27, 28, 29, 35. (Note: when asked for a parametrization, you must give the domain.) |
Friday, Sept. 4 |
The Implicit Function Thm---Version1 | End of Section 3.1 | Section 3.1, part I: 4, 5, 6, 8, 10, 11, 13, 15, 16, 27, 30. |
Monday, Sept. 7 |
Tangents, velocity and acceleration | Section 3.2 | Section 3.1, part II : 18, 19, 21, 22, 23, 24. |
Wednesday, Sept. 9 |
Length of a curve Parametrization and arclength |
Section 3.3 | Section 3.2: 3, 5, 7, 9, 10, 12, 13, 15, 19, 23, 25. |
Friday, Sept. 11 |
Acceleration and Curvature | Section 3.4 through pg. 206 | Section 3.3: 4, 5, 9, 15, 19, 27, 28, 29, 30, 32, 33, 34, 35. |
Monday, Sept. 14 |
The Osculating Plane and the Osculating Circle |
Rest of Section 3.4 | Section 3.4, part I: 1, 3, 5. |
Wednesday, Sept. 16 |
Introduction to Differential Geometry of Curves | Section 3.5 | Section 3.4, part II : 9, 10, 11, 14, 15, 16.19, 20, 21, 22, 23, 25, 26, 29. |
Friday, Sept. 18 |
Spirograph Lab I | ||
Monday, Sept. 21 |
Spirograph Lab, part II
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A working Hypotrochoid spirograph |
Wednesday, Sept. 23 |
Hypotrochoid wrap-up; the Scrambler
test review |
Test Review----curves in space |
Complete Hypotrochoid worksheet. Write up answers for use in paper. |
Friday, Sept. 25 |
Test #1---Curves in Space
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Monday, Sept. 28 |
Test # 1 --- part II |
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Wednesday, Sept. 30 |
Partial Derivatives---a review problems (not to turn in): Section 2.4: 7, 13, 14, 21, 22, 23, 32, 34. Section 2.7: 5, 6, 7, 11, 23, 24, 25, 27, 28. Section 4.1: 1-4, 7, 9, 11, 12, 16, 18, 22, 27. * |
Spirograph project due.
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| Predator-Prey Systems, Gradient Fields, and Flow Lines | Section 4.5 | * | |
Monday, Oct. 5 |
Divergence of a vector field | Section 4.6 through example 4.59 | Section 4.5: 1, 2, 4, 7, 12, 13. |
Wednesday, Oct. 7 |
Curl of a vector field | Rest of Section 4.6 | Section 4.6 part I: 1, 4, 5, 11, 12, 13 (div only), 14(div only), 18, 32, 37. |
Friday, Oct. 9 |
Differentibility in vector fields | Section 2.4 | Section 4.6 part II: 9, 13 (curl only) , 14 (curl only), 19, 21-25, 27, 28 (why are they asking this question?), 29. Plus the (graphical) handout. |
Monday, Oct. 12 |
No class---October Reading Days!* |
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Wednesday, Oct. 14 |
Differentiability in Vector Fields, cont. (Begin solving systems) |
Section 4.6 part III: 30, 35, 38, 40, 41, 43, 44, 45. | |
Friday, Oct. 16 |
Solving Systems of Equations | Handout on differentiability | |
Monday, Oct. 19 |
The Implicit Function Theorem---General Version | Section 4.7 | * |
Wednesday, Oct. 21 |
Paths and Parametrizations---revisited | Section 5.1 | Section 4.7: 2, 6, 7 and 9 extended (on handout) |
Friday, Oct. 23 |
Path Integral of a real-valued function | Section 5.2 | Section 5.1: 1, 2, 5, 6, 8, 11, 14, 20, 21, 22. |
Monday, Oct. 26 |
Path Integrals of Vector Fields | Section 5.3 | Section 5.2: 1, 2a, 3, 6, 7, 9, 13, 16acd, 17, 21, 26, 29. |
Wednesday, Oct. 28 |
Path Independence | Section 5.4 | Section 5.3: 1, 2, 5, 6, 8, 9, 11, 13, 15, 16, 27, 28. (Optional assignment---not to turn in.) |
Friday, Oct. 30 |
No Class---Ohio MAA, Fall meeting |
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| Path Independence and Gradient Fields | Section 5.4 (read again!) | Section 5.4 pt I : 1, 2, 3, 6, 9, 11, 17, 20, 21. | |
Wednesday, Nov. 4 |
Review of Double Integrals |
Sections 6.1-6.3 | Section 5.4 pt II : 13, 14, 16, 23, 24, 25, 27, 28, 29, 31, 32, 33. (When you use a theorem, be sure to say so, noting why you know the necessary hypothesese hold.) |
Friday, Nov. 6 |
Test #2---Chapters 4 and 5 (and Section 2.4)
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Monday, Nov. 9 |
Change of variables in a Double Integral | Section 6.4 | * |
Wednesday, Nov. 11 |
Change of variables---cont. | Handout on transformations (1-6) plus extra problem. | |
Friday, Nov. 13 |
Parametrized Surfaces | Section 7.1 | Section 6.4: 11,16, 23, 24, 27 (plus change of variables calculation for spherical coord.) |
Monday, Nov. 16 |
World of Surfaces | Section 7.2 | Section 7.1: 3, 5, 7, 9, 13, 15, 19, 23, 25, 28, 29, 31. |
Wednesday, Nov. 18 |
Surface Integral of a real-valued function | Section 7.3 | Section 7.2: 3, 6, 8, 11, 12, 13, 14, 18. |
Friday, Nov. 20 |
Surface Integrals of Vector Fields | Section 7.4 | Section 7.3: 3, 5, 6, 7, 9, 12, 15. |
Thanksgiving Break |
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Monday, Nov. 30 |
Green's Theorem | Section 8.1 | Section 7.4: 1, 2, 3, 5, 6, 7, 9, 13, 15, 21, 28abd. |
| Finish Green's Theorem |
Section 8.1 : 1, 2, 3, 5, 7, 11, 12, 17, 19. | ||
Friday, Dec. 4 |
The Divergence Theorem |
Section 8.2 |
Assigned portion of proof of Green's theorem. |
Monday, Dec. 7 |
The Divergence Theorem, continued. | ||
Wednesday, Dec. 9 |
Stokes' Theorem | Section 8.3 | Section 8.2: 1- 5, 7, 9, 11, 14. |
Friday, Dec. 11 |
Green's Theorem, Divergence Theorem, Stokes' Theorem---bringing it all together. | Section 8.3: 1- 3, 5, 7, 9, 15, 17. Extra assigned problem. | |
Monday, Dec. 14 |
Finish up; review for final
Course Evaluation |
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Final Examination
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