Math 115 Calculus II Syllabus

Fall 2014

For general course information, guidelines, and policies, see the course site on the classes*v2 server.

The text is Math 115: Calculus, Early Transcendentals, 7e by James Stewart.

Homework is due in class on Friday otherwise specified.
Find the complete homework schedule in PDF.

 Week Dates Sections, topics Required problems Suggested problems Problem sets 0 Aug 27-29 5.1-5.3, 5.4 Review of 112, Fundamental Theorem of Calculus 5.3 2, 8, 30, 58, 68 5.4 2, 32, 50, 64 5.3 3, 9, 13, 21, 25, 57, 67 5.4 1, 21, 37, 49, 63 1 Sept 1-5 5.4 (cont.), 5.5, 6.1 Indefinite integrals, net change theorem and the substitution rule. Areas between curves. 5.5 14, 32, 38, 60, 86 6.1 2, 20, 22, 46 5.5 3, 7, 23, 25, 31, 55, 85 6.1 1, 7, 17, 21, 23, 47 2 Sept 8-12 6.2, 6.3, 7.1 Volumes by discs/washers, volumes by cylinders. Integration by parts. 6.2 4, 16, 22, 58 6.3 8, 18, 20 7.1 4, 10, 26, 40 6.2 3, 9, 15, 25, 27, 55 6.3 1, 9, 11, 17 7.1 3, 15, 17, 23, 27, 39 Problem Set #1 (Sections 5.3, 5.4, 5.5, 6.1) 3 Sept 15-19 7.5, 7.7 Strategies for integration. Approximate integration. Improper integrals. 7.5 6, 22, 24, 64, 66 7.7 4, 8, 22, 46 7.5 : 9, 13, 17, 29, 61, 63 7.7 1, 7, 21, 45 7.8 1, 7, 15, 19, 31, 39 Problem Set #2 (Sections 6.2, 6.3, 7.1) 4 Sept 22-26 7.8, 8.1 Improper integrals. Arc length. 7.8 2, 24, 34, 52, 78 8.1 10, 18 7.8 1, 7, 15, 19, 31, 39, 51, 77 8.1 1, 7, 13, 17 Problem Set #3 (Sections 7.5, 7.7) 5 Sept 29-Oct 3 10.3, 10.4 Polar coordinates. Calculus on polar functions. 10.3 16, 24, 48, 54, 60 10.4 4, 12, 30, 48 10.3 9, 13, 17, 23, 47, 55 10.4 1, 11, 23, 29, 47 Problem Set #4 (Sections 7.8, 8.1) Oct 1 Midterm #1, 7-8:30p. Content : Sections 5.3 through 7.8. 6 Oct 6-10 11.1, 11.2, 11.3 Sequences. Series. Integral test. 11.1 14, 34, 36, 38, 48 11.2 18, 30, 34, 40, 68 11.3 : 8, 26, 30 11.1 5, 13, 17, 25, 33, 45, 47 11.2 15, 17, 29, 39, 61, 67 11.3 9, 21, 25 Problem Set #5 (Sections 10.3, 10.4) 7 Oct 13-17 11.4, 11.5, 11.6 Comparison tests. Alternating series. Ratio test. 11.4 10, 24, 28 11.5 4, 10, 24, 32 11.6 10, 12, 22, 26, 30 11.4 11, 15, 17, 23, 25, 43 11.5 3, 11, 17, 25 11.6 7, 9, 15, 21, 23, 25 Problem Set #6 (Sections 11.1, 11.2, 11.3) 8 Oct 20-24 11.7 Strategies for testing convergence. Fall Break! 11.7 14, 20, 26, 34 11.7 9, 11, 13, 21, 27, 35, 37 9 Oct 27-31 11.8, 11.9 Power Series. Representing functions by power series 11.8 4, 16, 18, 30, 32, 42 11.9 8, 18, 28, 40 11.8 5, 7, 11, 19, 29, 33, 41 11.9 5, 7, 15, 17, 25 Problem Set #7 (Sections 11.4, 11.5, 11.6) 10 Nov 3-7 11.10, 11.11 Taylor and Maclaurin series and error. 11.10 8, 18, 34, 38, 48, 56, 64 11.10 5, 13, 15, 33, 47, 55, 57, 59, 69 Problem Set #8 (Sections 11.7, 11.8, 11.9) 11 Nov 10-14 11.11 (cont.), 9.1 Modeling with Diff. Eq. 11.11 14, 26, 28, 30 9.1 4, 6, 10, 12, 14 11.11 13, 25, 27, 31 9.1 3, 7, 9, 11, 15 Problem Set #9 (Section 11.10) Nov 12 Midterm #2 7-8:30p. Content : Sections 8.1 through 11.9. 12 Nov 17-21 9.2, 9.3 Direction Fields and Euler's Method. Separable Equations 9.2 4, 6, 10, 18, 24, 28 9.3 6, 12, 16, 30, 38, 48 9.2 3, 5, 9, 13, 23 9.3 7, 13, 19, 29, 39, 53 Problem Set #10 (Sections 11.11, 9.1) Nov 24-28 Thanksgiving Break! Prove the Riemann Hypothesis Get some rest! 13 Dec 1-5 9.4, 9.6 Models for Population Growth Predator-Prey Systems 9.4 4, 16, 20 9.6 2, 6, 8, 10 9.4 5, 9, 15, 17 9.6 3, 5, 7, 11 Problem Set #11 (Sections 9.2, 9.3, 9.4) Final Exam Problem Set #12 (Section 9.6) (EC)

Revised 9.8.14