Harvard University, fas 

Math 1a Homework Assignments

Homework assignments are listed according to the day in which the assignment was given. Unless directed otherwise, all homework assignments must be done in time for the following class meeting. Solutions will usually be posted on the day of the 2nd class meeting following the original assignment. All homework solutions are posted in PDF format.

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HW #1 (Feb 7): Skim any unfamiliar precalculus topics in sections 1.1 to 1.5 of the Anton text and read section 3.1 of tangent lines and rates of change.
Do problems 1.1/10 and 1.2/4 and 1.4/2 and 1.5/33,41 and 3.1/10 (can be done in intuitive terms).

HW #2 (Feb 9): Read section 2.1 and 2.2 and do problems 2.1/23,28 and 2.2/2,6,8,10,18,52,54.

HW #3 (Feb 11): Read section 3.1 and 3.2 and do problems 3.1/2,4,6,8,9 and 3.2/2,12,18.

HW #4 (Feb 14): Read section 3.2 and 3.3 and do problems 3.2/20,23,26,36 and 3.3/3,5,13,20,77.

HW #5 (Feb 16): Read section 3.3 and do problems 3.3/18,26,36,38,42,48,58,71.

HW #6 (Feb 18): Read section 3.4 and do problems 3.4/2,3,4,13,15,23,24,28,32,35.

HW #7 (Feb 23): Read section 3.5 and do problems 3.5/4,6,8,9,10,18,24,42,48,64,66.

HW #8 (Feb 25): Read section 3.6 and do problems 3.6/10,13,15,20,26,32,45,53.
[Solutions don't exactly match all the problems.]

HW #9 (Feb 28): Read section 4.3 and 4.1 and do problems 4.3/3,9,12,24,40,45 and 4.1/5,9,16,18. [If you need a little more time on the problems from section 4.1, it's OK to turn them in the following class.]

HW #10 (Mar 1): Read section 4.2 and do problems 4.2/10,14,18,26,28,32,42,48,49,55.

HW #11 (Mar 3): Read section 4.4 and do problems 4.4/2,4,6,8,10,12,20,22,24,30,32,40,44,47,54,55
  (This assignment is due Wed, Mar 8).

HW #12 (Mar 6): No new homework. Exam at 4pm in Sci Ctr Hall E.

HW #13 (Mar 8): Read sections 4.5 and 4.6 and do problems 4.5/2,12,21,22 and 4.6/3,8,10,12.

HW #14 (Mar 10): Read section 4.6 and 5.1 and do problems 4.6/20,21,37,41 and 5.1/2,4,9,14,22.

HW #15 (Mar 13): Read section 5.1 and 5.2 and do problems 5.1/47,54,56 and 5.2/2,10,14,19,23,32,49.

HW #16 (Mar 15): Read sections 5.3 and 4.7 and do problems 5.3/4,14,19,30,40 and 4.7/1,10,15,27,52.
Note: One or two of the solutions to these problems may be missing.

HW #17 (Mar 17): Read section 6.1 and do problems 6.1/3,4,7,12,13,21,36,39.

HW #18 (Mar 20): Read section 6.2 and do problems 6.2/5,10,11,16,20,24,44.

HW #19 (Mar 22): Read section 6.3 and do problems 6.2/46,52,56 and 6.3/12,14,25,27,32.

HW #20 (Apr 3): Read section 6.4 and do problems 6.4/2,6,15,21,23. Do these problems first without the use of a programmable calculator. If solved by hand, do at least two iterations of Newton's Method (beyond the initial guess) for each root. If using a calculator program, give at least 5-place accuracy.

HW #21 (Apr 5): Read section 6.5 and do problems 6.5/4,5,12,13,19,24,25,27,38.

HW #22 (Apr 7): Read section 7.1 and 7.2 and do problems 7.1/2,6,9,10 and 7.2/8,9,10,14,18.

HW #23 (Apr 10): None. Study for exam.

HW #24 (Apr 12): Read sections 7.4 and 7.5 and do problems 7.4/13,14,30 and 7.5/13,39.

HW #25 (Apr 14): Read sections 7.5 and 7.6 and do problems 7.5/22,24,25,26,41 and 7.6/3,5.

HW #26 (Apr 17): Read section 7.6 and do problems 7.6/10,12,14,20,27,46,49,51,56.

HW #27 (Apr 19): Read sections 7.6 and 7.7 and do problems 7.6/45,57,58 and 7.7/50,58,62.

HW #28 (Apr 21): Read section 7.7 and do problems 7.7/5,6,9,16,29,36,37,51.

HW #29 (Apr 24): Read section 7.8 and do problems 7.8/2,4,8,14,23,25,36,44,46.

HW #30 (Apr 26): Read section 7.9 and do problems 7.9/3,12,16,25,27 and pg.456/24abc.

HW #31 (Apr 28): This HW is due on Wednesday, May 3. We'll talk more about numerical integration on Monday, including (Homer) Simpson's Rule. Read section 9.7 and do problems 9.7/2,8,14,25,28,35. If you wish, you may use numerical integration programs for calculators on these HW problems. Error estimates must still be worked out analytically.
Sample Numerical Integration Programs for the TI-81 and TI-85 Calculators (adaptable to other calculators)
Collection of numerical integration programs for various calculators

HW #32 (May 1): This HW is due on Friday, May 5. We'll talk about improper integrals in class on Wednesday. Read section 9.8 and do problems 9.8/3,4,6,8,12,14,22.


Question Center: In addition to class, problem sessions, and office hours, the Mathematics Department operates a Question Center in Loker on Sunday, Monday, Tuesday, Wednesday, and Thursday evenings from 8pm to 10pm. The Question Center will be staffed by Course Assistants from Math 1a, 1b, 21a, and 21b and by graduate students and others. You are encouraged to use this resource as you do your homework and when questions arise. It is intended to supplement the office hours held by your Section Leader.

Homework: Homework exercises are an integral part of the course. It is unlikely that you will understand the material and do well on the exams without working through the homework problems in a thoughtful manner. Don't just crank through computations and write down answers - think about the problems posed, your strategies, the meaning your computations, and the answers you get.

We encourage you to form study groups with other students in the class so that you can discuss the work with each other. Your Section Leader or Course Assistant can provide names and contact information for everyone in your section in order to help facilitate discussion. Although we encourage you to work together with your classmates, all work submitted must be written up individually.

Problems will generally be assigned in each class and due at the next class. Assignments will be graded by your Course Assistant and will usually be returned at the following class meeting.

Many of the problems for homework will look different from problems discussed in class and in the text. This is not an accident. We want you to think about the material and learn to apply it in unfamiliar settings and interpret it in different ways. Only if you understand the material (as opposed to merely knowing it) will you be able to go beyond the information you are given. In other words, the refrain "We didn't do a problem like this in class" will not wash in the homework or on the exams.

Homework solutions will be posted at the Math 1a web site or put on reserve in Cabot Library a few days after homework is due. You are encouraged to check the solutions. Late homework will not, in general, be permitted. The decision to accept late homework in some circumstances and the penalties for lateness rests with your CA.

Text: Calculus, A New Horizon - Brief Edition by Anton. Available at the COOP.

updated Monday, May 01, 2000
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