| Lecturer: | Maria Angelica Cueto |
|---|---|
| Email: | macueto at math dot columbia dot edu |
| Location: | 207 Mathematics Building |
| Time: | TR 11:40am-12:55pm (Section 8). |
| Office hours: | TR 10:30am-11:30am (Room 621 Math) or by appointment |
| Teaching assistants: | Paul Lewis , Dowon Lim and Samantha Zeller . Help Room office hours |
| Schedule and Assignments | Textbook | Exams | Homework | Help | Disability Services |
|---|
The book is available at the reserve desk in the math library, 303 Math. More details on the book can be found here. We will mainly cover Chapters 12, 13 and 14. If you have an earlier version of the textbook, then it is entirely your responsibility to deal with any differences between editions. In particular, written homework problems will be assigned by problem number and you will be expected to answer the question with that number in the current edition. Access to WebAssign is NOT required for students in this section of Calculus III, but it could be useful as a source to practice problems.
TopIf you have a conflict with any of the exam dates, you must contact me ahead of time so we can make arrangements. (At least a week ahead is preferable.) If you are unable to take the exam because of a medical problem, you must go to the health center and get a note from them -- and contact me as soon as you can.
No course material, notes or summary cards will be allowed during the midterms and final exams. Calculators are not required for this course and will not be allowed on exams.
TopStudents with disabilities requiring special accommodation should contact the Office of Disability Services (ODS) promptly to discuss appropriate arrangements. More information can be found here.
TopHomework will count for 20% of your final grade, and should be turned in by 4 PM on the due date (mostly Tuesdays) in the appropriate box outside of 410 Math. Clearly print your first and last name (as it appears on the registrar) on your assignment. Staple together ALL of your homework that is due on a given day. Only homework that is turned into the correct location will be graded. You are strongly encouraged to work together with your classmates on the assignments, but the write-up must be in your own words. Late homework will not be accepted. Your lowest homework score will be dropped.
To receive full credit for a solution, it is not enough for you to simply write down the correct answer. You must also show all relevant work in an organized fashion. Include explanatory words or phrases if it is not completely obvious how one step leads to the next, so that any other calculus student would be able to read your solution and understand how you obtained your answer. Circle or otherwise clearly indicate your final answer, and include units (meters, seconds, square feet, etc.), if applicable.
Your TA will verify that you are working the assigned problems,
but only four of the problems (marked after the due date by a star)
are fully graded. Homework solutions will be posted here on the
respective due date:
HW1: due Sept. 10 (exercises graded: 12.2.12, 15.8.9, 12.2.21, 12.2.32 (+12.2.51 bonus)) Solutions.
HW2: due Sept.17 (exercises graded: 12.3.43, 12.3.49 (+12.3.56 bonus), 12.4.15, 12.4.20 ) Solutions.
HW3: due Sept. 24 (exercises graded: 12.5.21, 12.5.23, 12.5.39, 10.5.34) Solutions.
HW4: due Sept. 30 (exercises graded: 12.6.4, 12.6.15, 12.6.31, 12.6.36) Solutions.
HW5: due Oct. 8 (exercises graded: 13.1.2, 13.1.9, 13.1.27, 13.1.40) Solutions.
HW6: due Oct. 15 (exercises graded: 13.2.7, 13.2.41 (+13.2.51 bonus), 14.1.15, 14.1.30) Solutions.
HW7: due Oct. 22 (exercises graded: 14.1.26, 14.2.16. 14.2.38, 14.3.29) Solutions.
HW8: due Oct. 29 (exercises graded: (14.3.94 bonus), 14.4.21, 14.4.31, 14.5.13, 14.5.38) Solutions.
HW9: due Nov. 19 (exercises graded: 14.6.56 (+14.6.66.a bonus), 14.7.12, 14.7.39, 14.7.46) Solutions.
HW10: due Nov. 26 (exercises graded: 14.8.18, 14.8.36, 13.3.13, 13.3.32 (+13.3.52 bonus)) Solutions.
HW11: due Dec. 5 (exercises graded: 13.4.16, 13.4.22, H.12, H.21) Solutions.
If you're having trouble, get help immediately. Everyone who works seriously on mathematics struggles. But if you don't get help promptly you will soon be completely lost. The first places to look for help are my office hours and the course TA in the help room. Talking to your other classmates can also be helpful. The Barnard Help room in 333 Milbank is open 10 am-10 pm Monday-Thursday and 1-5 pm on Friday. You may drop by whenever the Help Room is open; no appointment is necessary.
Top| DATE | READING | HOMEWORK |
| Sept. 3rd |
§12.1, first parts of §10.3, §15.8 and §15.9: Coordinate systems in 2- and 3-dimensions |
Due 9/10 Assignment #1 §12.1: 4, 12, 15, 37, 39. §15.8: 5, 7, 9. §15.9: 5, 6, 10. |
| Sept. 5th |
§12.2: Vectors |
Due 9/10 Assignment #1 §12.2: 3, 21, 29, 32, [51 (bonus)]. |
| Sept. 10th |
§12.3: The Dot Product |
Due 9/17 Assignment #2 §12.3: 1, 7, 11, 19, 43, 49, 53, [56 (bonus)]. |
| Sept. 12th |
§12.4: The Cross Product |
Due 9/17 Assignment #2 §12.4: 4, 8, 15, 20, 34, 44. |
| Sept. 17th |
§12.5: Equations of lines and planes |
Due 9/24 Assignment #3 §12.5: 2, 5, 9, 12, 14, 18, 21, 23, 28. |
| Sept. 19th |
§10.5: Conic sections |
Due 9/24 Assignment #3 §12.5: 34, 39, 47, 49. §10.5: 34, 40, 48. |
| Sept. 24th | §12.6: Cylinders and quadratic surfaces |
Due 9/30 (Monday) Assignment #4 §12.6: 4, 7, 13, 14, 15, 30, 31, 36. |
| Sept. 26th | |
Practice Midterm 1 Solutions. |
| Oct. 1st | | Midterm 1 with solutions |
| Oct. 3rd | §13.1: Vector functions |
Due 10/8 Assignment #5 §13.1: 2, 4, 6, 9, 12, 14, 27, 29, 40, 42, 48. |
| Oct. 8th | | |
| Oct. 8th | Review of limits and continuity in one variable, §13.2: Derivatives and integrals of vector functions |
Due 10/15 Assignment #6 §13.2: 3, 5, 7, 9, 21, 27, [51 (bonus)]. |
| Oct. 10th |
§13.2: Derivatives and integrals of vector functions (continued)
§14.1: Functions of several variables |
Due 10/15 Assignment #6 §13.2: 28, 33, 37, 41. §14.1: 9, 10, 15, 20, 25, 30. |
| Oct. 15th | §14.1: Functions of several variables (continued) §14.2: Limit and continuity of functions of several variables |
Due 10/22 Assignment #7 §14.1: 11, 32, 46, 47, 49, 66, 67. |
| Oct. 17th | §14.2: Limit and continuity of functions of several variables (continued) §14.3: Partial derivatives |
Due 10/22 Assignment #7 §14.2: 8, 9, 16, 17, 21, 26, 38. §14.3: 29, 32, 33, 34, 35, 55, 58, 67, 68. |
| Oct. 22th | §14.3: Partial derivatives (continued) §14.4: Tangent planes and linear approximation |
Due 10/29 Assignment #8 §14.3: [94 (bonus): sketch the graph if you can], 95. §14.4: 3, 5, 11, 14, 17, 21, 25, 31, 33, 42. |
| Oct. 24th | §14.5: Chain rule |
Due 10/29 Assignment #8 §14.5: 4, 5, 13, 24, 34, 38, 39. |
| Oct. 29th |
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Practice Midterm 2 Solutions |
| Oct. 31st | | Midterm 2 with solutions |
| Nov. 5th |
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| Nov. 7th | §14.6: Directional derivatives and the gradient vector |
Due 11/19 Assignment #9 §14.6: 9, 17, 23, 29, 34, 46, 49, 56, [66 a (bonus)]. |
| Nov. 12th | §14.7: Critical points, maxima and minima |
Due 11/19 Assignment #9 §14.7: 2, 4, 6, 8, 12, 19. |
| Nov. 14th | DROP DEADLINE FOR OTHER SCHOOLS | |
| Nov. 14th | §14.7: Critical points, maxima and minima |
Due 11/19 Assignment #9 §14.7: 31, 35, 39, 46, 51, 56. |
| Nov. 19th | §14.8: Lagrange multipliers |
Due 11/26 Assignment #10 §14.8: 6, 9, 10, 14, 15, 18, 20, 23, 36, 42. |
| Nov. 21st | §13.3: Arc lengths and curvature |
Due 11/26 Assignment #10 §13.3: 4, 5, 11, 13, 17, 25, 30, 32, 38, 46, [52 (bonus): draw the pictures by hand]. |
| Nov. 26th | §13.4: Motion in space: velocity and acceleration |
Due 12/05 (Thursday) Assignment #11 §13.4: 3, 5, 6, 11, 16, 19, 22, 32, 36, 39. |
| Nov. 28th |
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| Dec. 3rd | Appendix H: Complex Numbers |
Due 12/05 (Thursday) Assignment #11 Appendix H: 1, 6, 11, 12, 16, 20, 21, 29, 39, 44. |
| Dec. 5th |
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Practice problems Solutions I Solutions II Solutions III Solutions IV |
| Dec. 19th |
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