MATH 142 C
Calculus II
MATHEMATICS
AT BARD COLLEGE
Coordinates Hegeman 102, TTh 2:30-3:50 PM, CRN ?????
Professor Greg Landweber
Office Hours Albee 304, Tuesday 11:30 AM - 12:50 PM, Wednesday 3:00 - 4:20 PM, or by appointment.
Other Help Try the Math Study Room, Sunday to Wednesday, 7-10 PM, RKC 111
or the Calculus II (Math 142 C) dedicated tutor Steven Wu.
No Class Fall Break: Tuesday, October 13,
Thanksgiving: Thursday, November 26.
Content This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral. Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power series, continuous random variables, and separable differential equations.
Prerequisite Mathematics 141 or the equivalent.
Textbook
   Calculus: Concepts and Contexts
Fourth Edition
by James Stewart
Brooks/Cole Cengage Learning
Homework Homework must be stapled and is due at the start of class each Thursday, starting Thursday, September 10. Late or unstapled homework will not be accepted. Homework will consist of both odd numbered problems with solutions in the back of the book and even numbered problems to be turned in. The even numbered problems are shown in red below, and will be graded roughly based on the number of problems you attempt and the number of problems you answer correctly.
Labs There will be two lab sessions in Albee 100, held during class on Thursday, September 24 and Tuesday, November 24, as indicated on the schedule below. We will be exploring numerical and symbolic computation using the mathematical software SAGE. After each lab, you must submit your Sage worksheet online by the start of the following class.
Quizzes There will be two 30 minute quizzes given in class on the Thursdays indicated on the schedule below. If you must miss a quiz, you must get permission from Professor Landweber and schedule a make up quiz in advance, unless you are physically unable to do so.
Exams There will be an in class Midterm Exam on Thursday, October 22, and an in class Final Exam on Thursday, December 17. Professor Landweber gives make-up exams only in case of emergencies, and if you miss an exam, you must get permission from Professor Landweber and schedule a make up exam in advance, unless you are physically unable to do so.
Grading 20% Homework
10% Labs (2 @ 5% each) 20% Quizzes (2 @ 10% each)
50% Exams (2 @ 25% each)
Schedule
Dates Topic Reading Homework Exam
September 1, 3 Integration Review Sections 5.4, 5.5
September 8, 10 Integration by Parts Sections 5.6, 5.7 Section 5.5: #13, 33, 35, 53, 55, 59, 67
Section 5.6: #7, 23, 39, 41, 47
Section 5.5: #52, 54
Section 5.6: #4, 22
September 15, 17 Improper Integrals Section 5.10 Section 5.7: #19, 21, 25, 31, 33, 35
Section 5.10: #7, 9, 11, 19
Section 5.7: #22, 30
Section 5.10: #16, 20 		Quiz
September 22, 24 Computer Algebra
Quadrature		 Sections 4.5, 5.9 Section 5.10: #25, 27, 31, 33
Section 4.5: #5, 7, 11, 13, 27, 31, 43
Section 5.10: #30, 34
Section 4.5: #14, 28 		Lab
September 29
October 1		 Volume Sections 6.2, 6.3 Section 6.1: #31
Section 6.2: #15, 33, 37, 45
Section 6.3: #5, 15, 23
Section 6.1: #4
Section 6.2: #16, 34
Section 6.3: #4
October 6, 8 Arc Length
Average Value		 Sections 6.4, 6.5 Section 6.4: #29, 31
Section 6.5: #5, 11, 15
Section 6.4: #4
Section 6.5: #2
October 15 Applications Sections 6.6, 6.7
October 20, 22 Review Practice Midterm Midterm
October 27, 29 Sequences & Series Sections 8.1, 8.2 Section 8.1: #5, 9, 11, 29, 31, 49
Section 8.2: #9, 11, 21, 27, 31, 37
Section 8.1: #20, 22
Section 8.2: #12, 38
November 3, 5 Convergence Tests Sections 8.3, 8.4 Section 8.3: #7, 9, 11, 15, 17, 23
Section 8.4: #3, 7, 21, 23, 33, 35
Section 8.3: #14, 28, 30
Section 8.4: #4, 24, 34
November 10, 12 Power Series Sections 8.5, 8.6 Section 8.5: #3, 13, 19, 23
Section 8.6: #5, 9, 13, 23
Section 8.5: #6, 10
Section 8.6: #8, 24
 		Quiz
November 17, 19 Taylor Series Sections 8.7, 8.8
November 24 Numerical Analysis Lab
December 1, 3 Complex Numbers Appendix I Section 8.7: #11, 13, 15, 21, 33, 39, 53, 65
Section 8.7: #10, 12, 14, 60
December 8, 10 Differential Equations Sections 7.1, 7.2 Appendix I: #1, 3, 7, 21, 33, 43
Appendix I: #8, 36, 42, 48
December 15, 17 Review Practice Final Exam Final Exam