Math 192 - Fall 2009

Syllabus

Formula Sheet (corrected), First Exam Review Problems, First Exam

CLASS SCHEDULE; Monday, Wednesday 5:00-6:20 in ARC 207; Thursday, 5:00-6:20 in ARC 205 (Busch Campus).
TEXTBOOK: Jon Rogawski, Calculus (Early Transcendentals), W. H. Freeman and Co. Some background material, linked here, is included in the "Rutgers edition" of the book. READ THIS material, either through the link or in your textbook. This material should be the only difference between the generally available book and the Rutgers version.
INSTRUCTOR: Daniel Ocone, Hill Center, 518; ocone-at-math-rutgers-edu; Office hours: Monday, 2-3;Thursday, 3:30-4:30; and by appointment
CALCULATOR: A graphing calculator is required for this course. We have traditionally used the TI-83 or 83+ and recommend either of them, but any calculator with equivalent capacities can be used, such as the popular TI-85 or 86. Calculators will not be permitted during exams.
GRADING: The final exam is worth 200 points. Each hour exam is worth 100 points. The workshop writeups count for 75 points. A combination of quizzes and textbook homework gives 50 points. Adding this up, we get a maximum of 525 points that a student can get in the course. The course grade is determined by the number of points the student got out of 525. Extra credit for challenge problems will also be given.
ACADEMIC INTEGRITY POLICY. Please read.

CHALLENGE PROBLEM CORNER: The following problems either offer technical challenges or explore interesting additional concepts. Students may hand in carefully written solutions for extra credit. (But do the regular homework first!) I will accept no more than one extra credit per week per student.
- 6.2: 22, 6.3: 56, 6.4: 37-38

The lecture numbers below count only the Monday and Wednesday class. Thursday class will be devoted to problem solving and workshops. The problem assignments are subject to change, so please refer to this page for whatever assignment is current. Due dates will be announced in class.

Lecture	Sections	Topics	Homework
9/2	5.2-5.6	Introduction and review of concepts from 151	5.6: 13, 18, 25, 37, 49, 69, 82, 90
9/8 (Tuesday!)	6.1-6.3	Handout on the definite integral (Read this before class.) Areas and Volumes	Due 9/10 6.1: 3, 4, 16, 17, 26, 27, 28, 47 6.2: 5, 7, 13, 14, 19, 20, 45, 46, 49 6.3: 16, 19, 29, 30, 31, 32, 51
9/9	6.4, 6.5	Volume(continued), Work	Due 9/17 6.4: 12, 13, 19, 20, 23, 26, 46 6.5: 3, 6, 10, 12, 13, 16, 26, 31
9/14	7.1	Numerical integration Integration programs for calculators	Due 9/24: 7.1: 7, 8, 13, 14, 36, 37
9/16	7.2	Integration by parts	Due, 9/24: 7.2: 9, 10, 14, 15, 17, 23, 24, 39, 41, 45, 48, 53, 72
9/21	7.3	Trigonometric integrals	Due 10/1; 7.3: 3, 4, 14, 15,19, 27, 31, 33, 40, 41, 63, 64
9/23	7.4	Trigonometric substitution	Due 10/1; 7.4: 3, 4, 13, 14, 16, 23, 28, 35, 36
9/28	7.6	Partial fractions	Due 10/5; 7.6: 9, 10, 17, 18, 29, 33, 36, 38, 39, 43
9/30	7.7	Improper integrals	Due 10/15; 7.7: 14, 19, 21, 22, 25, 29, 31, 32, 37, 43, 44, 51
10/5	Review for First Exam
10/7	First Exam	Exam in the lecture room	Formula sheet(corrected) Review problems
10/12	7.7	Comparison Test	Due 10/22; 7.7: 58, 59, 60, 66, 67, 70, 71, 79
10/14	8.1, 11.1, 11.2	Arc length and surface area Parametric equations	Due 10/22; 8.1: 7, 8, 9, 10, 38, 39 11.1: 7, 8, 19, 20, 21, 22, 45, 46, 53-56
10/19	11.3, 11.4	Parametric Equations Polar coordinates	Due 10/29 11.2: 3, 4, 13, 15, 20, 21, 23 11.3: 3, 4, 7, 8, 14, 15, 21, 25, 27, 34 11.4: 7, 8, 11, 12, 13, 14
10/21	8.4	Taylor polynomials	Due 11/5; 8.4: 7, 8, 17, 18, 29, 30, 35, 36, 41 (In 30, find also the sign of the remainder.)
10/26	10.1	Sequences	Due 11/5; 10.1: 15, 17, 21, 22, 30, 35, 36, 39, 43, 46, 51, 53
10/28	10.2	Summing an infinite series	10.2: 9, 10, 15, 16, 28, 29
11/2	10.3	Convergence of infinite series	Due: 11/12; 10.3: 9, 10, 15, 16, 17, 19, 21, 22 29, 30, 35, 38, 39, 51, 53, 55, 59
11/4	10.4	Absolute and conditional convergence	Due 11/12; 10.4: 2, 5, 6, 12, 13, 14, 17, 21, 22, 23, 26
11/9	10.5	Ratio and root test	Due 11/16; 10.5: 5, 6, 10, 11, 12, 13, 18, 19, 21, 22, 23, 35, 37
11/11	10.6	Power series	10.6: 6, 7, 19, 20, 31, 32
11/16	Review for Second Exam		Review problems, Exam II Solutions to selected problems
11/18	Second Exam Formula sheet for Exam II	Exam in the lecture room
11/23	10.7	Power Series; Taylor series, part 1	Due 12/3; 10.6: 3, 6, 9, 12, 13, 19, 21, 20, 31, 32, 35, 36, 41 10.7: 3, 4, 5, 8, 9, 11, 12, 29
11/30	10.7	Taylor series, part 2	Due 12/10; 10.7: 11, 12, 19, 20, 21, 22, 25, 26, 33, 41, 42, 43, 47(a), 50, 55
12/2	9.1	Solving differential equations, part 1	Due 12/10; 9.1: 13, 14, 19, 29, 30, 31, 35, 36, 45, 46, 49
12/7	9.2, 9.3	Solving differential equations, part 2	Due 12/10; 9.2: 3, 4, 8, 9, 11, 15, 16, 23 9.3: 2, 5, 9 10.6: 47
12/9	Review, power series and differential equations
12/10	Last recitation; final exam review