# SYLLABUS

## Calculus II (Math 142, Sections 5 & 6) Fall 2001, USC

Lecture Recitations
M W F 12:20-1:10 PSC 002. 5: T TH 9:30-10:20 LC 112;
6: T TH 11:00-11:50 LC 112;
Instructor

Teaching Assistant
Jason Rodgers

Course Description
This class is continuation of Calculus I. Main topics include: exponential and inverse trigonometric functions; techniques of integration; L'Hopital's rule; Numerical integration and Newton's method; infinite sequences and series. Applications of these concepts will be developed and emphasized at each step.

Prerequisites
Math 141--familiarity with derivatives, inegrals, and the fundamental theorem of calculus.

Textbook
Calculus, by Varberg, Purcell, and Rigdon, eighth edition.

Homework and Quizzes
There will be homework assignments due every Tuesday. Late homeworks will not be accepted. Also, there will be quizzes every Thursday. No calculators, textbooks, or notes will be allowed.

 Dates Lectures Aug 24 F 7.1 Intro to natural log 272931 MWF 7.27.37.4 Inverse functions and derivativesThe natural exponential function General exponentials and logs. Sep 357 MWF .7.57.7 Labor Day-no classes Growth and decayInverse trig. functions 101214 MWF 7.88.18.2 Hyperbolic functionsIntegration by substitutionTrig. integrals 171921 MWF 8.3.. Rationalizing substitutionsReview Exam 1 (Covers up to 8.1) 242628 MWF 8.48.58.5 Integration by partsPartial fractionsPartial fractions Oct 135 MWF 9.19.29.3 L'Hopital's RuleMore L'HopitalImproper integrals 81012 MWF 9.410.110.1 More imporoper integralsInfinite sequencesInfinite sequences 151719 MWF ... Fall Break-no classesReview Exam 2 (Covers up to 10.1)
 Oct 222426 MWF 10.210.210.3 Infinite seriesInfinite seriesThe integral test 2931 MW 10.410.5 Comparison and Ratio testsAlternating series Nov 2 F 10.5 Alternating series 579 MWF 10.610.710.8 Power seriesMore power seriesTaylor series 121416 MWF 11.1.. Approximating functionsReviewExam 3 (Covers up to 10.7) 192123 MWF 11.2.. Numerical integrationThanksgiving-no classesThanksgiving-no classes 262830 MWF 12.112.212.6 ParabolasEllipses and hyperbolasPolar coordinates Dec 357 MWF 12.7.. Graphs of polar equationsReviewReview 13 Th . Final Exam (Comprehensive)
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Assignments
 Homework # Due Date Problems 1 Aug 28 7.1)1, 4, 8, 16, 18, 24, 30, 39. 2 Sep 4 7.1) 49; 7.2) 4, 6, 8, 11, 16, 20; 7.3) 4, 8, 12, 23, 24, 30, 32. 3 Sep 11 7.4) 6, 18, 20, 24, 28, 30, 44; 7.5) 2, 6, 8, 12, 14, 18, 21. 4 Sep 18 7.7) 20, 30, 40, 43, 50, 53, 58, 77; 7.8) 2, 11, 14, 18, 60; 7.9) 4, 6, 11, 12, 22, 47. 5 Sep 25 8.1) 4, 6, 11, 12, 22, 47, 68; 8.2) 2, 4, 7, 12; 8.3) 2, 4, 10, 18, 32. 6 Oct 2 8.4) 2, 11, 14, 41, 47; 8.5) 2, 3, 6, 11, 13. 7 Oct 9 8.6) 4, 6, 11, 14, 34, 35; 9.1) 2, 6, 8; 9.2) 2, 7, 11, 16, 21, 22, 23, 24. 8 Oct 18 9.3) 2, 8, 14, 19, 26, 27; 9.4) 4, 8, 16; 10.1) 2, 4, 9, 22, 23, 31, 35. 9 Oct 23 10.1) 3, 16, 24, 30, 34, 53. 10 Oct 30 10.2) 1, 4, 5, 6, 7, 8, 16, 18, 25, 33, 36, 38. 11 Nov 6 10.3) 2, 3, 8, 13, 14, 22, 24, 25; 10.4) 2, 5, 6, 7, 11, 12, 13, 16, 20, 23, 28, 35. 12 Nov 13 10.5) 2, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 19, 24, 31, 35; 10.6) 2, 4, 6, 8, 12. 13 Nov 20 10.7) 1, 2, 9, 10, 14, 25 10.8) 4, 7, 20, 22, 28, 11.1) 2, 3, 10, 15, 39. 14 Nov 27 11.2) 2, 5, 7, 15, 30. 15 Dec 4 12.1) 2, 4, 8, 10, 12, 16, 18, 33, 34, 36; 12.2) 2, 4, 6, 12, 14, 16, 32, 36.

Tests and Exams
There will be 3 midterms on Fridays Sep 21, Oct 19, and Nov 16. The Final Exam is on Thursday, Dec 13, 2-5 pm.

Your final grade is comprised of your scores on the homeworks (10%), quizzes (10%), midterms (15% each) and the final exam (35%).

Study Hints and Guidelines
Solving Calculus problems, much like playing a musical instrument, is a skill, which can be developed only through persistent practice. Plan to work on the homework assignments everyday, and for a total of at least 8 hours each week.

Also, it is very important that you attend all lectures. Consistent with the USC Undergraduate Bulletin, a grade penalty may be applied to any student missing more than three classes during the semester.

You are strongly encouraged to ask questions during the lectures, and participate in classroom discussions. Further, feel free to see your instructor during the office hours. If you cannot come at the scheduled hours, you may knock on the Professor's door at any other time, or send an email for an appointment.