ÿþ<HTML> <title> Calculus II </title> <font size = 5> <b> General Course Information: </b> </font> <br> MATH V1102.002 CALCULUS II <br> MW 04:10P-05:25P<br> MATHEMATICS 417 <br> <br> <font size = 5> <b> Instructor Information: </b> </font> <br> Jian Wang<br> E-mail: jw2464@columbia.edu <br> <br> <font size = 5> <b> Course Objectives </b> </font> <br> Chapters 7-11 of James Stewart, <i> Calculus: Early Transcendentals </i>, 6th edition, Brooks/Cole, 2003<br> <br> <ol> <li> Techniques of integration </li> <br> <li> Improper integrals </li> <br> <li> Arc Length. Surface Area of solids of revolution </li> <br> <li> Sequences and Series </li> <br> <li> Power series. Taylor series. </li> <br> </ol> <br> <font size = 5> <b> Policies </b> </font> <br> <ol> <li> Whenever writing a solution (in homework or exams), explain your answer clearly to get full credits. </li> <br> <br> <li> Calculators are not required for this course. If you have a graphing calculator, you might find it helpful when you are working on your homework. However, you will not be allowed to use a calculator during the exams. </li> <br> <br> <li> Homework will be collected on every due date in class and delivered in the next class. Late homework is allowed. </li> <br> <br> <li> There will be two midterms, and a final. <i> There will be no make-up exams without a note from a doctor or a dean. </i> </li> <br> <br> <li> Grading: Homework (20%) + Midterm I (20%) + Midterm II (20%) + Final (40%) = Your Score (100%) </li> <br> <br> <li> Office Hour: after class or by appointment (you can also get help from graduate/undergraduate TAs in the Barnard help room, Milbank 333 on the Barnard campus) </li> </ol> <br> <br> <font size = 5> <b> Tentative Class Schedule and Homework Assignments </b> </font> <br> <br> 9/3 review of integrals (5.1-5.5) <br> <br> 9/8 integration by parts (7.1) <br> Assignments Due: <br> 5.2: 37 <br> 5.3: 18, 26, 40, 52 <br> 5.4: 11, 30 <br> 5.5: 24, 32, 62 <br> <br> 9/10 trignometric integrals (7.2) <br> <br> 9/15 trignometric substitution (7.3) <br> Assignments Due: <br> 7.1: 2, 14, 18, 22, 36, 41 <br> 7.2: 2, 10, 36, 44 <br> <br> 9/17 partial fractions (7.4) <br> <br> 9/22 partial fractions (continued) (7.4) <br> Assignments Due: <br> 7.3: 2, 6, 8, 14, 18 <br> 7.4: 4, 20, 28, 36, 44 <br> 7.5: 2, 44 <br> <br> 9/24 volumes (6.2-6.3) <br> <br> 9/29 arc length and surfaces of revolution (8.1-8.2) <br> <br> 10/1 <b> MIDTERM I </b> <br> <br> 10/6 introduction to differential equations (9.1) <br> Assignments Due: <br> 7.8: 2, 6, 30, 36, 50 <br> 8.1: 2, 6, 8 <br> 8.2: 6, 14 <br> <br> 10/8 separable equations (9.3) <br> <br> 10/13 exponential and logistic growth (9.4-9.5) <br> Assignments Due: <br> 9.1: 2, 10 <br> 9.3: 8, 12, 16, 38 <br> <br> 10/15 linear equations (9.6) <br> <br> 10/20 parametric equations (10.1-10.2) <br> Assignments Due: <br> 9.4: 6, 10 <br> 9.5: 8, 15 <br> 9.6: 2, 4, 8(a)(b), 10(a)(b)(c) <br> <br> 10/22 polar coordinates (10.3-10.4) <br> <br> 10/27 conic sections (10.5) <br> Assignments Due: <br> 10.1: 6 <br> 10.2: 4, 12, 32, 44 <br> 10.3: 4, 6, 12, 36, 38, 56 <br> 10.4: 10, 28 <br> <br> 10/29 <b> MIDTERM II </b> <br> <br> 11/3 <b> HOLIDAY </b> <br> <br> 11/5 sequences; series (11.1-11.2) <br> <br> 11/10 integral tests (11.3) <br> <br> 11/12 comparison test (11.4) <br> Assignments Due: <br> 11.1: 10, 16, 28, 54 <br> 11.2: 12, 18, 22, 24, 42 <br> <br> 11/17 alternating series; absolute convergence (11.5-11.6) <br> <br> 11/19 ratio test (11.6) <br> Assignments Due: <br> 11.3: 4, 8, 12, 20 <br> 11.4: 10, 12, 16 <br> <br> 11/24 power series (11.8) <br> <br> 11/26 functions as series (11.9) <br> Assignments Due: <br> 11.5: 6, 12 <br> 11.6: 8, 10, 12, 14, 18 <br> <br> 12/1 Taylor series (11.10) <br> <br> 12/3 Taylor series (continued) (11.10) <br> Assignments Due: <br> 11.8: 12 <br> 11.9: 8, 26, 28 <br> 11.10: 10, 14, 18, 22, 40 <br> <br> 12/8 Review session <br> <br> 12/15 <b> FINAL </b> </HTML>