# Schedule and Homework MAT 132

 Week: Jan 23 5.1, 5.2, 5.3: Review of the definite integral and the Fundamental Theorem of Calculus Homework: 5.1: 16 5.2: 18, 28 5.3: 12, 46 Suggested Exercises: 5.1: 11, 15, 17 5.2: 5, 17, 23, 27, 47 5.3: 9, 17, 25, 45 Remarks: none

 Week: Jan 30 Section 5.3, 5.4, 5.5: The Fundamental Theorem of Calculus Substitution Homework: 5.3: 48 5.4: 8, 16 5.5: 6, 34 Suggested Exercises: 5.3: 11,19, 23 5.4: 7, 15, 17, 23 5.5: 5, 11, 17, 31, 47, 53 Remarks: none

 Week: Feb 6 Section 5.6, 5.7: Integration by parts Trigonometric integrals Trigonometric substitutions, Partial fractions Homework: 5.6: 8, 18, 30 5.7: 4, 22 Suggested Exercises: 5.6: 7, 17, 19, 25 5.7: 5, 9, 19, 21 Remarks: none

 Week: Feb 13 Section 5.7, 5.9, 5.10: Partial Fractions Approximate integration Improper integrals Homework: 5.7: 26, 32 5.9: no homework 5:10: 8, 14, 44 Suggested Exercises: 5.7: 23, 27, 31 5.9: no homework 5:10: 5, 15, 23, 45 Remarks: none

 Week: Feb 20 Section 5.10, 6.1: Improper integrals(continued) More about area Homework: no homework Suggested Exercises: 5.10: 1, 5, 11, 17, 43,  47 6.1: 1, 3, 7, 11, 15, 17 Remarks: none

 Week: Feb 27 Section 6.2, 6.3, 6.4, 6.5: Volumes of revolution Arc length Average Value Homework: 6.2: 12 6.3: 6, 10 6.4: 8 6.5: 2 Suggested Exercises: 6.2: 5, 9, 17 6.3: 5, 7, 9, 13 6.4: 5, 11 6.5: 3, 5, 12 Remarks: Midterm I, Monday  Feb 27 8:30-10:00pm Javits 100 Chapetr 5 (not section 8 and 9)

 Week: March 5 6.6, App H: Work (skip pressure and skip center of mass) Polar coordinates Homework: 6.6: 6 Appendix H1: 12, 16, 56 Appendix H2: 4, 30 Suggested Exercises: 6.6: 5, 13, 21 Appendix H1: 11, 15, 17, 53 Appendix H2: 3, 5, 25, 29 Remarks: none

 Week: March 12 8.1, 8.2, 8.3: Sequences Infinite series Integral test Homework: 8.1: 12, 56 8.2: 24, 20, 32 Suggested Exercises: 8.1: 19, 27, 29, 51, 55 8.2: 15, 17, 25, 29, 33, 34 Remarks: none

 Week: March 19 8.3, 8.4, 8.5: Integral, Comparison Limit comparison tests Ratio test Alternating series test Absolute convergence Power series" Homework: 8.3: 6,10 8.4: 26,32, 36 Suggested Exercises: 8.3: 7, 19, 25, 27 8.4: 25, 31, 35 Remarks: Midterm II,  Thursday March 22 Javits 100 8:30-10:00pm Chapter 6 section 1,2,3,4,5,6 Appendic H1 and H2 Chapter 8 section 1 and 2

 Week: March 26 8.6, 8.7: Functions as series Taylor and Maclaurin series Homework: 8.5: 6, 10, 18 8.6: 4, 24 8.7: 8, 12, 18 Suggested Exercises: 8.5:  7, 9, 13, 15, 21 8.6:  5, 7, 9, 10, 15, 23 8.7: 3, 7, 9, 11, 15 Remarks: It's a bit more homework but there is the spring break

 Week: April 2 Homework: Suggested Exercises: Remarks: Spring break

 Week: April 9 8.7, 8.8, App I: Taylor & Maclaurin series (continued) Applications of Taylor series Complex numbers" Homework: 8.8: 12, 16 Appendix I: 2, 6, 10, 22, 30, 34 Suggested Exercises: 8.8: 11, 13 Appendix I: 1, 3, 5, 7, 9, 15, 19, 23, 29, 33, 47 Remarks: It's a bit more homework, but most of these are tiny ones

 Week: April 16 7.1, 7.2, 7.3: Modeling with differential equations Direction fields, Euler's method Separable Equations Homework: 7.1: 2, 4 7.2: 2 7.3: 4, 12, 20 Suggested Exercises: 7.1: 1, 5, 9 7.2: 1 7.3: 3, 15,  18, 19, 21 Remarks: none

 Week: April 23 7.4, 7.5, 7.6: Exponential growth, logistic equation, Preditor-prey equation Homework: 7.5: 4 7.6: 10 Suggested Exercises: 7.5: 5 7.6: 11 Remarks: none

 Week: April 30 Review everything Homework: no homework Suggested Exercises: no homework Remarks: This week will be  dedicated to review of all course material