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Prof. Jesenko Vukadinovic
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Office: 1S-208 phone: (718)
982-3632 Email: vukadino at math.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~vukadino |
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| Course Time and Place: |
Tuesdays: 4.40pm - 6.10pm in 1S-112 Thursdays: 4.40pm - 6.10pm in 3N-104 |
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Textbook: Larson, Hostetler, Edwards, Calculus, Eighth Edition, 2005. Available at the University Bookstore.
Material Covered: Trigonomeric and hyperbolic
functions; Area volume and arc, Integration techniques, Sequences aand
series.
Homework: Assignments will be announced in class and then posted on this website in the column marked "Due". Any changes will be announced in class. Late homework will not be accepted. The listed exercises from the textbook are strongly recommended as practice, but they will not be collected. Several quizzes out of this homework will be conducted. Answers for almost all of these are in the back of the book. I highly recommend working jointly on homework problems with fellow students, but in the end you must hand in your own work.
WeBWorK: WeBWorK is an online program that generates individualized problems, and provides immediate feedback. Incorrect answers may be corrected, so that I hope you will often submit perfect homework sets. These problems will be mostly computational exercises. This will count as part of your HW score.
MATLAB: MATLAB is powerful computer
software. The CSI Math
Department has computer labs with access to MATLAB. Using MATLAB
will
be required for this course. There will be 5 MATLAB projects.
Grading: The course grade will be determined as follows: 20% Midterm Exam 1 + 20% Midterm Exam 2 + 30% Final Exam +15% WebWork and Quizzes +15% MATLAB projects.
Without exception, you must take the final exam at the time scheduled by the university.
Help: My office hours are Tuesdays 2.30-4.20 and Thursdays 6.10-7.00.
Optimal Method of Study: (1.) Come to class.
(2.) Read the relevant sections
after class. (3.) Do the homework. Leave time to think--do not
put homework off until it is due! (4.) Compare your solutions
with other students to improve what you hand in.
(5.) Come to office hours or the help room with any remaining
questions.
| Class | Topic | Read | Exercises |
| Aug 28 |
Review: Inverse functions Inverse Trig Functions: Differentiation |
§5.3 §5.6 |
5.3: 8, 16, 19, 36,
43, 51, 63, 73, 101 5.6: 5, 7, 9, 17a, 33, 37, 41, 45, 49, 72 |
| Aug 30 |
Inverse Trig Functions: Integration MATLAB project 1 |
§5.7 |
5.7: 1, 23, 6, 7,
25, 27, 13, 55, 59, 74 |
| Sep 4 |
Hyperbolic Functions Area of the region between two curves |
§5.8 §7.1 |
5.8: 1, 17, 19, 23,
39, 41, 43, 49 7.1: 1, 3, 8, 21, 25, 30, 31, 39, 90 |
| Sep 6 |
Volume: Disk Method MATLAB project 2 |
§7.2 | 7.2: 1, 4, 5, 7, 9,
11, 23, 27, 45, 51 |
| Sep 11 |
Volume: Shell Method |
§7.3 |
7.3: 1, 3, 7, 11,
15, 21, 27, 28 |
| Sep 20 |
Arc Length Centers of Mass |
§7.4 §7.6 |
7.4: 1, 3, 17, 21, 35 7.6: 1, 9, 13, 16, 19, 25, 28 |
| Sep 25 |
Review for Exam I |
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| Sep 27 |
Exam I |
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| Oct 2 |
Basic Integration Rules Integration by Parts |
§8.1 §8.2 |
8.1: 1, 2, 8,
11, 18, 19, 23, 27, 31, 45, 59 8.2: 1, 11, 15, 17, 19, 27, 33, 37, 38, 50, 52, 53 |
| Oct 4 |
Trig Integrals Trig substitution |
§8.3 §8.4 |
8.3: 5, 6, 8, 13,
43, 65, 88 8.4: 5, 6, 13, 25, 26 |
| Oct 9 |
Partial Fractions |
§8.5 | 8.5: 7, 13, 15, 23,
29, 31, 60, 63 |
| Oct 11 |
Integration by Tables MATLAB project 3 |
§8.6 | 8.6: 5, 7,
13, 45, 21, 39, 71, 72, 76, 86 |
| Oct 16 |
Indeterminate Forms, L'Hospital's Rule |
§8.7 | 8.7: 5, 10, 11, 15,
21, 33, 39, 45, 54, 65, 67, 63, 73, 75, 91, 92 |
| Oct 18 |
Improper Integrals |
§8.8 | 8.8: 5, 3, 9, 15,
21, 27, 33, 37, 39, 79 |
| Oct 23 |
Review for Exam II |
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| Oct 25 |
Exam II |
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| Oct 30 |
Sequences Series and convergence |
§9.1 §9.2 |
9.1: 1, 3, 29, 33, 80, 83, 87, 90, 93, 95,
96, 110 9.2: 1, 5, 11, 23, 25, 36, 39, 41, 61, 67 |
| Nov 1 |
Integral Test & p-series Comparison of Series |
§9.3 §9.4 |
9.3: 1, 4, 7, 25,
26, 85, 87, 89 9.4: 3, 5, 7, 11, 15, 23, 27, 35 |
| Nov 6 |
Alternating Series Ratio Tests |
§9.5 §9.6 |
9.5: 11, 13, 15, 47,
49, 53, 76 9.6: 13, 14, 17, 25, 29, 31, 51, 54 |
| Nov 8 |
Taylor Polynomials Power Series |
§9.7 §9.8 |
9.7: 1, 3, 13, 17,
29, 30, 35, 68 9.8: 5, 7, 11, 13, 15, 64, 69 |
| Nov 13 |
Representation of Functions by Power Series Taylor and Maclaurin Series |
§9.9 §9.10 |
9.9: 1, 5, 15, 21 9.10: 3, 5, 6, 7, 21, 25, 54, 55, 61 |
| Nov 15 |
MATLAB project 4 Plane Curves & Parametric Equations |
§10.2 |
10.2: 1, 2, 5, 7, 17, 33, 40, 41 |
| Nov 20 |
Parametric equations and Calculus Polar Coordinates |
§10.3 §10.4 |
10.3: 5, 7, 9. 15,
17, 29, 49 10.4: 1, 3, 11, 13, 27, 29, 31, 35, 59, 61, 73 |
| Nov 27 |
MATLAB project 5 |
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| Nov 29 |
Area and Arclength in Polar coordinates |
§10.5 | 10.5: 5, 7, 11, 13,
15, 17, 21, 31, 45, 47 |
| Dec 4 |
Review | ||
| Dec 6 |
Review | ||
| Dec 11 |
Review | ||
| Dec ?? |
FINAL EXAM |