University of Massachusetts
Department of Mathematics and Statistics

Math 132, Calculus II
Fall 2011, Syllabus

Course Web Site:
This is the general course web-site providing information relevant to all sections. Individual instructors may maintain separate pages relevant to their own sections.

Text: J. Stewart, Calculus, Early Transcedentals, Volume I, CENGAGE Learning, 2008, Paperback.

Calculator: Each student is expected to have and use a Texas Instruments TI-86 or TI-89 (or similar) calculator.

Exams (60%): There will be 3 exams: 2 midterms and a final, all given and graded in common and each worth 20% of the course grade (combining for a total of 60%).

Exam 1: October 4, Tuesday, 7:00-9:00 p.m.
Exam 2: November 17, Thursday, 7:00-9:00 p.m.
Final Exam: To be announced. Make-ups will not be given to accomodate travel plans.

Symbolics Test (20%): There will be a symbolics test on computing indefinite integrals (worth 20% of the total grade). It will take place on Tuesday, October 25, 7:00-8:30 p.m.. In this test, students are not permitted to use their calculators.

Instructor's Grade (20%): Each instructor will determine a 20% of the student's grade based on the student's performance in the class (e.g., in quizzes, homeworks, class attendance and participation).

Grading Scale:

90% $\leq$ A $\leq$ 100%	87% $\leq$ A$-$ $\leq$ 89%
83% $\leq$ B$+$ $\leq$ 86%	80% $\leq$ B $\leq$ 82%
77% $\leq$ B$-$ $\leq$ 79%	73% $\leq$ C$+$ $\leq$ 76%
70% $\leq$ C $\leq$ 72%	67% $\leq$ C$-$ $\leq$ 69%
63% $\leq$ D$+$ $\leq$ 66%	60% $\leq$ D $\leq$ 62%
0% $\leq$ F $\leq$ 59%

The score on each of the five relevant parts (Exams 1 and 2, Symbolics Test, Final Exam and Instructor's Grade) will be scaled to the 0-100 scale. The numbers will be added and divided by 5. The resulting average will determine the course grade according to the scheme mentioned above.

Students needing special exam accomodation must present documentation from Disability Services to their instructor no later than two weeks before the exam.

Syllabus

5.1 Areas and Distances
5.2 Definite Integral
5.3 Fundamental Theorem of Calculus
5.4 Indefinite Integrals and Net Change Theorem
5.5 Substitution Rule
6.1 Area Between Curves
6.2 Volumes

7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Partial Fractions
7.5 Integration Strategies
7.8 Improper Integrals

10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates

11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series

Notice that some of these sections will be covered for the most part, but not in their entirety. Students will only be responsible for the covered material.

MWF and TuTh Daily Schedule, Fall 2011

Week of	Mon	Wed	Fri	Tues	Thur
09/05		5.1	5.2	5.1, 5.2	5.2, 5.3
09/12	5.3	5.3, 5.4	5.4, 5.5	5.3, 5.4	5.4, 5.5
09/19	5.5, 6.1	6.1, 6.2	6.2	5.5, 6.1	6.1, 6.2
09/26	7.1	7.1, 7.2	7.2, Review	6.2, 7.1	7.1, 7.2
10/3	Review	7.2, 7.3	7.3	Review	7.2, 7.3
10/10	7.4	7.5	7.8		7.3, 7.4
10/17	7.8, 10.1	10.1, 10.2	10.2, 10.3	7.4, 7.5	7.5, 7.8
10/24	Review	10.3, 10.4	10.4	7.8, Review	10.1, 10.2
10/31	11.1	11.2	11.3	10.3, 10.4	10.4, 11.1
11/07	11.4	11.5		11.2, 11.3	11.3, 11.4
11/14	11.5, Review	Review	11.6	11.4, 11.5	Review
11/21	11.6, 11.7	11.7, 11.8		11.6, 11.7
11/28	11.8, 11.9	11.9	11.10	11.7, 11.8	11.9, 11.10
12/05	11.10	Review	Review	11.10	Review

Suggested Homework Problems, Fall 2011

5.1: 1, 3, 11, 16.

5.2: 1, 5, 17, 21, 34, 48, 52, 53, 54.

5.3: 3, 7, 11, 22, 25, 28, 29, 33, 51, 53, 55.

5.4: 7, 10, 12, 18, 29, 33, 39, 43, 48, 50

5.5: 2, 12, 14, 19, 25, 34, 39, 44, 50.

6.1: 4, 5, 6, 7, 8, 12, 21, 23, 26.

6.2: 5, 6, 7, 9, 10, 11, 14, 50, 51

7.1: 1, 18, 22, 25, 30, 31, 35, 37.

7.2: 1, 2, 7, 13, 29, 30, 34.

7.3: 5, 6, 7, 12, 17, 20.

7.4: 1, 2, 5, 8, 12 ,21.

7.5: 1, 4, 10, 13, 14, 15.

7.8: 1, 13, 24, 25, 28, 31, 34.

10.1: 11, 12, 13, 14, 16, 17.

10.2: 1, 2, 4, 5, 12, 17.

10.3: 1, 8, 17, 36, 58, 59, 65.

10.4: 7, 8, 12, 13, 27, 30.

11.1: 19, 22, 25, 33, 36, 61.

11.2: 8, 13, 17, 18, 19, 20, 41, 44, 50.

11.3: 3, 4, 7, 8, 24, 27.

11.4: 5, 8, 16, 20, 23, 25, 26.

11.5: 5, 8, 10, 14, 22, 25.

11.6: 2, 8, 13, 14, 15, 21, 25.

11.7: 2, 6, 8, 13, 18.

11.8: 7, 9, 10, 15, 23, 24, 25.

11.9: 5, 7, 8, 13, 15, 16, 31.

11.10: 2(a), 6, 8, 15, 29, 32, 33, 48, 54.