So, in Math 14 and Math 61, you will learn the calculus of multivariable functions and vector fields. Topics in the Math 14 half-course include: multivariable functions and their derivatives, vector fields, gradient, divergence, curl, double and triple integrals, parametrized curves, flows, line integrals, Green's theorem, and flux integrals. (The topics in Math 61, the half-course that continues Math 14 in the sophomore year, will cover optimization, Taylor's theorem, Lagrange multipliers, Stokes' Theorem, and the Divergence Theorem.)
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Prof. Su's Office Hours: Mon-Wed 1:15-2:15pm, or by
appt.
Olin 1269, e-mail: lastname at math.hmc.edu |
Academic Excellence Tutors'
Office Hours at Linde Activities Center, Riggs Room: SUN, TUE, THU 8-10pm. |
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Midterm (Take home exam) Available Wednesday 2/8, due Friday 2/10 |
30% |
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Final Exam Available Thursday 3/2, due Monday 3/6. |
35% |
| Homework | 35% |
There are two texts for the course. The primary book is Vector Calculus by Susan Jane Colley. A second book that we will use in a few weeks is Schey's Div, Grad, Curl and All That.
Homeworks will be announced on the course webpage: http://www.math.hmc.edu/~su/math14/. You will be told, as part of your homework, what sections to read to prepare for the lectures. READING AHEAD IS ESSENTIAL FOR SUCCESS IN THIS COURSE. Also, taking lecture notes is extremely important, since we will be providing perspective on the material, and your midterm will be closed book, but open notes.
Homeworks will be due on Tuesdays and Fridays at 2pm (in the bin outside my office door). NO LATE HOMEWORKS will be accepted except for medical or family emergencies (and must be approved in advance). Your lowest homework grade will be dropped.
You are encouraged to work cooperatively on your homework assignments with your classmates. However, you are expected to WRITE UP YOUR SOLUTIONS INDIVIDUALLY, i.e., you should understand your solutions well enough to write them up yourself. You should acknowledge any assistance you obtained from others or outside sources. The HMC honor code applies in all matters of conduct concerning this course. Note that copying work from published solutions (or the work of previous students) is a violation of the HMC Honor Code.
I will try to help you succeed in this course, but you should also give your best effort. Before tackling any problems, read the relevant section of the text and review your lecture notes. Feel free to consult me, the tutors, or your classmates about matters that are unclear to you.
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Being able to direct your own learning is an important skill that we hope you will develop while at Harvey Mudd College. One component of being a self-directed learner is the ability to monitor your own understanding. To help you develop this ability, each problem on your homework assignments will be marked as optional or required* (marked with an asterisk*). Any homework problems that you turn in, whether optional or required, will be graded. Your homework score will be reported as the number of points earned on attempted problems divided by the total number of points for required and attempted optional problems. As such, doing the optional problems correctly should raise your homework average. |
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| HW #1 | due FRI 1/20 |
READ 1.1-1.4 (mostly review)
DO 1.1 ( 11, 18*, 21*, 24, 25 ) 1.2 ( 14, 16*, 24, 26* ), 1.3 ( 8, 15, 21, 25* ) and please write your section number on your HW (10am, 11am) in the upper right, next to your name. On the upper left corner of your assignment, please record the number of hours spent doing the reading and working the problems. Writing mathematics well is just as important as doing it, and graders may take points off for writing that they can't read or understand easily. See these guidelines for ideas on how to format your homework. |
| HW #2 | due TUE 1/24 |
READ 1.5-1.6, 2.1-2.2
DO 1.4 ( 6, 7, 17, 20*, 21, 23*, 25*) 1.5 ( 3, 9*, 14*, 24*, 28*, ) 2.1 ( 2, 14 ) |
| HW #3 | due FRI 1/27 |
READ 2.2-2.3
DO 2.1 ( 7, 15, 18*, 27*, 29, 36*, ) 2.2 ( 11, 14*, 23*, 46 ) 2.3 ( 1, 6* ) |
| HW #4 | due TUE 1/31 | READ 2.4-2.5
DO 2.3 ( 4, 9, 15, 18*, 21, 25*, 26*, 29, 30*, 32*, 34*) 2.4 ( 9 ) The last problem is there to encourage you to read ahead! |
| HW #5 | due FRI 2/3 | READ 2.6
DO 2.4 ( 2, 5, 14, 18*, 21a* ) 2.5 ( 2*, 4, 5, 8*, 14*, 16* ) |
| HW #6 | due TUE 2/7 | READ 5.1 - 5.3
DO 2.5 ( 28* ) 2.6 ( 5, 7, 11*, 12*, 13*, 16*, 21 ) 5.1 ( 1, 11) 5.2 ( 5*, 10*, 20 ) 5.3 ( 1* ) Begin preparing for your first midterm, handed out this Wednesday, and due back Friday. A good way to do this is to work all homework problems, study the relevant sections of the books, and study all your notes! |
| HW #7 | due TUE 2/14 | READ 1.7, 5.5 (read Examples 10-17 only)
DO 5.2 ( 16*, 23* ) 5.3 ( 11, 13, 18* ) 5.4 ( 5, 8*, 9, 11, 18*, 23* ) 1.7 ( 2, 6 ) 5.5 ( 15*, 20* ) |
| HW #8 | due FRI 2/17 | READ 3.1
DO 1.7 ( 8, 12*, 16*, 18, 27, 28*, 33, 35* ) 5.4 ( 19* ) 5.5 ( 23, 24*, 25, 27, 28* ) |
| HW #9 | due TUE 2/21 | READ 3.2 [pp. 191-197], 3.3
3.1 ( 1, 3, 4*, 7, 10*, 17, 18*, 19* ) 3.2 ( 1, 3*, 7* ) 3.3 ( 1, 2*, 4*, 9 ) |
| HW #10 | due FRI 2/24 | READ 3.4, 6.1, and Schey's "Div, Grad, Curl and all that", pp.1-8.
(Schey will be used in the final week of this class and throughout Math 61.) DO Schey I-4* Colley 3.3 ( 18*, 20*, 24, 25 ) Colley 3.4 ( 2*, 3, 4*, 7, 8*, 13*, 14*, 23 ) [Read problems 21-25.] Colley 6.1 ( 1* ) <-- To encourage you to read ahead, especially Def'n 1.1 and Example 1 on page 364. |
| HW #11 | due TUE 2/28 | READ 6.2, 6.3 and Schey pp. 63-81.
DO Colley 6.1 ( 3, 11, 13*, 15*, 21*, 24, 25*, 29 ) Colley 6.2 (1, 3*, 4, 8*, 11*, 13 ) Colley 6.3 ( 18* ) <-- Read ahead! Schey chapter III ( 3a*, 4ab* ) |
| HW #12 | due FRI 3/3 | READ 6.3 and Schey pp.86-91, 115-121.
DO Colley 6.3 ( 1*, 3, 7*, 17*, 19 ) Schey chapter III ( 7*, 19* ) and chapter IV ( 3* ) Review for your final exam. Study class notes, texts, and work problems--- odd-numbered exercises and true/false questions at the end of each chapter of Colley are good places to start. |