**Math 131H2: Fall 2006 (Updated version!) **

**Instructor :** Luc Rey-Bellet

**Office :** 1423 J LGRT

**Phone :** 545-6020

**E-Mail :** luc <at> mass.umass.edu

**Homepage:** http://www.math.umass.edu/~lr7q

**Office Hours :** MW 2:00--3:30 and by appointment.

**Class Meeting :** MWF 11:15--12:05 LGRT 123

** Recitation: ** Tu 11:15--12:05 LGRT 115

**Instructor**: Aaron Wolbach

**Office hours**: M Tu W 12:30--2:00 pm

**E-Mail**: wolbach <at> math.umass.edu"

**Syllabus:** This course is part of a 3-semester sequence (131-132-233), covering
standard material on differential and integral calculus at an
intermediate level: more sophisticated (and much faster moving) than
high school calculus, but with less emphasis on theoretical rigor than
in advanced courses. Instead the emphasis is on
basic concepts, methods, and applications suitable for students
majoring in engineering, natural sciences, computer science,
and mathematics.

** Text **: Stewart, Calculus, Early Transcendentals, Volume 1. Customized version
for University of Massachusetts-Amherts. Thomson (Brooks/Cole), 2006. This is a paperback version of the 5th edition. Make sure you have the correct edition of the textbook. Homework problems will be taken from the mentioned edition.

** Calculator **: Each student will be expected to have and use a programmable graphics
calculator, preferably Texas Instruments TI-85 or TI-86 (the only models with which your instructor and TA are likely to be familiar).

** Course Web page**: www.math.umass.edu/~lr7q/m131h-fall2006/m131home.html

** Grading ** : There is a final exam worth 30% and two exams during the semester worth 25% each. The final 20% of each student's grade will be determined by the homework and attendance.

**Scales for letter grades**:
A : 90 A-: 87 B+: 83 B : 80 B-: 77
C+: 73 C : 70 C-: 67 D+: 63
D : 60 F : <60

** Exam schedule **: It is your responsibility to be fully aware of the policies in the
make-up policy .
There will two midterms exams and a final exam. The final exam is comprehensive with
some emphasis placed on topics covered after the second exam. You are allowed to use a calculator during the exams.

- Midterm 1: October 11, 6:00-7:30 pm Room: LGRT 115
- Midterm 2 : November 15, 6:00-7:30 pm Room: LGRT 115
- Final: TBA

Please be aware of these dates and write them down in your datebook. Sections covered on an exam will be announced before the exam date. The date and time of the final exam will be scheduled by the university. Adjust your travel plans accordingly.

Here are many OLD EXAMS which you can use as preparation. And here are even more old final exams.

** Schedule of Lectures** Approximative weekly guideline for day-to-day coverage of the material.
- Sep 5: 2.1, 2.2, 2.3
- Sep 11: 2.5, 2.6, 2.8
- Sep 18: 2.9, 1.5, 3.1
- Sep 25: 3.2, 3.3
- Oct 2: 3.4, 3.5
- Oct 9: 3.6 (Monday is a holiday; Midterm 1 Wednesday 11 Oct 6:00-7:30 pm)
- Oct 16: 3.7, 1.6, 3.8
- Oct 23: 3.10, 3.11
- Nov 6: 4.1, 4.2,
- Nov 13: 4.3, 4.4 (Midterm 2: Wednesday November 15 6:00--7:30pm)
- Nov 20: 4.4, 4.7 (Thanksgiving: no class on friday Nov 24)
- Nov 27: 4.7, 4.9, 4.10
- Dec 4: 5.1, 5.2, 5.3
- Dec 11: Review (Last day of class is Dec 13)

**Homework :** The homework will be collected during the recitation section on Tuesdays. The homework will be graded and returned to you.
Working problems is the ** only ** way to learn mathematics. By doing the problems you can gauge how well you're understanding the course material. The homework problems are
representative of the types of problems that will appear on the examinations.

**Week 1** (due on 9/12): Sections 2.1 and 2.2

2.1: #2, 3, 4, 5, 9.
2.2: #6, 7, 9, 11, 12, 14, 15, 19, 23, 26, 27, 31, 32.

**Week 2** (due on 9/19): Sections 2.3, 2.5, and 2.6

2.3: #1, 5, 14, 16, 19, 21, 27, 28, 33, 39, 40.
2.5: #3, 6, 16, 18, 21, 23, 38, 41.
2.6: #4, 6, 11, 14, 18, 19, 20, 29, 40, 45.

**Week 3** (due on 9/26): Sections 2.8, 2.9 and 1.5

2.8: #4, 5, 8, 13, 15, 17, 20
2.9: #1, 4, 21, 23, 25, 26, 27, 30, 38, 41.
1.5: #3, 5, 7, 9, 17, 20.

**Week 4** (due on 10/3): Sections 3.1 and 3.2

3.1: #7, 11, 15, 20, 22, 23, 29, 32, 40, 41, 45, 48.
3.2: #1, 3, 6, 8, 12, 13, 16, 18, 19, 20, 25, 26, 32, 35, 38.

**Week 5** (due on 10/10): Sections 3.3 amnd 3.4

3.3: #4, 5, 8, 10, 13, 16, 18.

3.4: #2,3, 6, 9, 10, 16, 22, 24, 26, 31, 35, 36.

**Week 6** (due on 10/17): Section 3.5

3.5: #3, 5, 9, 11, 12, 17, 21, 25, 27, 29, 30, 36, 39, 51, 53, 55, 57.

**Week 7** (due on 10/24): Section 3.6

3.6: #5, 9, 13, 15, 16, 20, 27, 28, 29, 31, 35, 41, 42, 43.

**Week 8** (due on 10/31): Sections 3.7 and 1.6

3.7: #1, 7, 8, 13, 14, 16, 35, 38, 45, 49.
1.6: #23, 24, 28, 35, 39, 49, 51.

**Week 9** (due on 11/7): Sections 3.8, 3.10 and 3.11

3.8: #3, 8, 13, 16, 21, 31, 35, 36, 37, 39, 43, 46.
3.10: #7, 11, 15, 16, 18, 25, 31, 34.
3.11: #1, 7, 8, 11, 13, 32, 36, 38.

**Week 10** (due on 11/14): Sections 4.1 and 4.3

4.1: #3,5, 31, 35, 36, 51, 54, 56, 57, 59, 60, 67.
4.3: #1, 8, 11, 14, 15, 17, 21, 22, 26, 29, 33, 38, 39, 45, 48, 51, 63.

**Week 11** (due on 11/21):Sections 4.4

4.4: #1,3,4, 6, 9, 15, 17, 21, 33, 36, 41, 43, 55, 57, 58, 61.

**Week 12** (due on 11/28): Sections 4.7

4.7: #7, 8, 12, 14, 15, 19, 28, 30, 31, 40, 41, 43.

**Week 13** (due on 12/5): Section 4.9, 4.10

4.9: # 5, 6, 11, 15
4.10: # 2, 4, 7, 11, 13, 28, 29, 35, 38, 45, 48, 61

**Week 14** (due on 12/12): Sections 5.1, 5.2 and 5.3

5.1: #2, 3, 11, 13
5.2: # 6, 8, 11, 23, 33, 37, 40
5.3: # 3, 7, 10, 11, 14, 17, 25, 28, 30, 50