SYLLABUS

Calculus II (Math 142, Sections 5 & 6) Spring 2002, USC

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

Teaching Assistant
Elena Kitti

Course Description
This class is continuation of Calculus I. The main topics, in the order that they are covered are:
• Introduction to exponential, logarithmic, and inverse trigonometric functions.
• Techniques of integration, including various substitutions, integration by parts, and partial fractions.
• Indeterminate limits, L'Hopital's rule and improper integrals.
• Infinite sequences and series, power series, and Taylor's approximation of functions.

Prerequisites
A grade of C or better in Math 141--familiarity with limits, derivatives, integrals, the fundamental theorem of calculus, and basic trigonometry.

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.

Lecture and Reading Schedule
 Dates Lectures Jan 141618 MWF 7.17.37.3 Intro to natural logThe natural exponential functionThe natural exponential function 212325 MWF .7.47.5 MLK dayGeneral exponentials and logsExponential growth and decay 2830 MW 7.77.7 Inverse Trig. functionsInverse Trig. functions Feb 1 F 7.8 Hyperbolic functions 468 MWF 8.18.28.2 Integration by substitutionTrig. integralsTrig. integrals 111315 MWF 8.38.3. Rationalizing substitutionsReview Midterm 1 (Covers up to 8.2) 182022 MWF 8.48.58.5 Integration by partsPartial fractionsPartial fractions 2527 MW 9.19.2 Indeterminate formsOther indeterminate forms Mar 1 F 9.2 Other indeterminate forms 468 MWF 9.39.410.1 Improper integralsMore imporoper integralsInfinite series
 Mar 111315 MWF ... Spring BreakSpring BreakSpring Break 182022 MWF 10.210.210.3 Infinite sequencesThe divergence testThe integral test 252729 MWF 10.410.4. Comparison & ratio testsReview Midterm 2 (Covers up to 10.3) Apr 135 MWF .10.510.5 EasterAlternating series testsAlternating series tests 81012 MWF 10.610.610.7 Power seriesPower seriesMore power series 151719 MWF 10.810.811.1 Taylor seriesTaylor seriesMore Taylor series 222426 MWF 11.211.211.3 Numerical integrationNumerical integrationNewton's method 29 M 12.6 Polar Coordinates May 13 WF .. ReviewReading Day 8 W . Final Exam (Comprehensive)

Assignments
 # Due Date Problems 1 Jan 22 7.1) 4, 5, 6, 8, 9, 11, 12, 16, 17, 18, 19, 24, 25, 26, 28, 29, 30, 39, 40, 46a; 7.3) 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 23, 24, 30, 31, 32, 42. 2 Jan 29 7.4) 3, 4, 5, 6, 18, 19, 20, 23, 24, 27, 28, 29, 30, 31, 32, 43; 7.5) 2, 3, 5, 6, 7, 8, 12, 14, 17, 18, 20, 21. 3 Feb 5 7.7) 19, 20, 22, 23, 29, 30, 31, 36, 37, 40, 42, 50, 53, 55, 58, 76, 77; 7.8) 2, 3, 4, 6, 13, 14, 15, 16, 38, 39, 42, 43, 53. 4 Feb 12 7.9) 6, 7, 8, 10, 16, 4, 5, 18, 21, 23; 8.1) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 22, 24, 25, 40, 41, 47, 48, 68; 8.2) 1, 2, 3, 4, 5, 6. 5 Feb 19 8.3) 1, 2, 3, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 29, 32. 6 Feb 26 8.4) 1, 2, 5, 6, 11, 12, 13, 14, 15, 41, 47, 48; 8.5) 2, 3, 4, 5, 6, 10, 11, 13, 17, 18, 21. 7 Mar 5 9.1) 1, 2, 3, 4, 6, 8, 20; 9.2) 1, 2, 3, 4, 11, 14, 16, 21, 22, 23, 24, 30, 34. 8 Mar 19 9.3) 1, 2, 3, 4, 8, 13, 14, 19, 26, 27; 9.4) 3, 4, 7, 8, 16; 9.5) 39, 40; 10.1) 1, 2, 3, 4, 9, 16, 22, 23, 24, 31, 33, 34. 9 Mar 26 10.2) 1, 4, 5, 6, 8, 11, 16, 17, 18, 25, 26, 33, 36; 10.3) 2, 3, 4, 8, 13, 14, 23, 24, 25. 10 Apr 2 10.4) 2, 3, 5, 6, 7, 11, 12, 13, 16, 20, 23, 28, 44. 11 Apr 9 10.5) 2, 3, 4, 7, 8, 9, 13, 14, 15, 16, 19, 35, 37. 12 Apr 16 10.6) 1, 2, 5, 6, 7, 8, 12, 21; 10.7) 1, 2, 9, 10, 13, 14, 25, 36. 13 Apr 23 10.8) 4, 7, 19, 20, 28; 11.1) 1, 2, 3, 4, 9, 10, 11, 16, 19, 20, 39. 14 Apr 30 11.2) 1, 2, 7, 9, 10, 14, 15, 17; 11.3) 1, 2, 5, 6, 15.

Tests and Exams
There will be 2 midterms on Fridays Feb 15 and Mar 29. The Final Exam is on Wednesday, May 8, 9-12 am.