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