Math 1502 Calculus II (F Sections), Fall 2009
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Schedule: 12:05 pm - 1:25 pm TR |
Classroom: Howey(Physics) L2 |
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Office: Skiles 102A |
Phone: 404-894-4750 |
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Email: zengch@math.gatech.edu |
Webpage: www.math.gatech.edu/~zengch |
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Office hours: 1:40 pm - 2:55 pm TR |
Tentative final exam schedule: Thu. 12/10, 11:30 pm --2:20 pm. |
Syllabus
Instructor: Chongchun Zeng
Prerequisites: MATH 1501
Overview: Concludes the treatment of single variable calculus, and begins linear algebra; the linear basis of the multivariable theory. The first 1/3 of this course covers some chapters of single variable calculus not treated in Math 1501. The remaining 2/3 is an introduction to linear algebra, the theory of linear equations in several variables.
Participation: Attendence in classes is mandatory. Students are expected to read the material before each lecture. It is suggested that you start to work on homework problems right after they are assigned.
Textbook: Calculus, One and Several Variables, by Salas, Hille, and Etgen (Tenth Edition); John Wiley and Sons, Inc., 2007 [referred to as S.H.&E. in the table below]; Linear Algebra, From the Beginning by Carlen and Carvalho, W. H. Freeman & Sons, Inc. 2007 [referred to as C.C. in the table below].
Material:
|
Topic |
Text Sections |
Estimated hours |
|---|---|---|
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Taylor Polynomials and Taylor Approximation |
12.6-12.7 in S.H.&E. |
3 |
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L'Hospital's Rule and Improper Integrals |
11.5-11.7 in S.H.&E. |
3 |
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Infinite Series |
12.1-12.5 in S.H.&E. |
3 |
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Power Series |
12.8-12.9 in S.H.&E. |
3 |
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Numerical Integration and ODE's |
8.7, 9.1-9.3 in S.H.&E. |
3 |
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Introduction to Vectors and Matrices |
1.1-1.6 in C.C. |
6 |
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Row Reduction |
2.1-2.5 in C.C. |
5 |
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Inverses |
2.4-2.5 in C.C. |
2 |
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Linear Independence |
3.1-3.4 in C.C. |
4 |
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Kernels and Images, Least Squares |
3.5-3.8 in C.C. |
4 |
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Determinants and Volume |
4.1-4.3 in C.C. |
3 |
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Eigenvalues and Diagonalization |
5.1-5.6 in C.C. |
6 |
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45 |
Grades: 1 final exam 40%, 2 midterm 18% each, 8 quizzes 3% each. (More quizzes might be given but only the best 8 scores will be counted.)
Exams: The final will be 2 hours and 50 minutes. The 2 midterms of 50 minutes each will be given during recitation sessions in the second half of Sept. and late Oct., respectively. They will be announced at least 8 days in advance. All the exams are "closed book" and "closed notes". You will be allowed to bring with you a one page (8.5 X 11, both sides) "cheat sheet" with anything you want written on it. Please write your exam solutions in ink and circle the final answer of each problem in a box with no corections inside. Writing exams in pencil would automatically forfeit your right to argue for credits after the exam is given back to you. There will be no make-up for a missed exam, except under provable impossibility to attend the exam.
Quizzes: The quizzes of roughly 15--20 minutes each will take place in the recitation sessions. They may not be announced in advance. The quizzes are open-book and open-notes.
Homework (not required): Although homework will not be collected, the importance of exercises can never be over-emphasized. Some problems in the exams or quizzes will be chosen from the assigned exercises. Homework will be assigned at the end of each lecture and then put on this webpage in the below. You may discuss the homework problems with other students in this class, but you are encouraged to complete the homework independently. Some of these problems will be discussed in the recitation sessions.
Letter grade: in general, the letter grade will be given based on the total score (quizzes + midterms + final) in a curved fashion with the following exceptions:
Total score 90/100 or above will always be an A
Total score 60/100 or above will always be a C or higher.
Homework assignments:
Assigned on Tue. 8/18: Sec. 12.6 3, 8, 10, 16, 19, 23, 30, 33, 45
Assigned on Tue. 8/25: Sec. 12.7 1, 5, 8, 11, 22, 28; Sec. 11.5 3, 4, 5, 6, 21, 22, 43, 44, 46
Assigned on Thu. 8/27: Sec. 11.6 5, 6, 7, 9, 17, 20, 25, 26, 39, 40
Assigned on Tue. 9/1: Sec. 11.7 3, 4, 9, 13, 20, 29, 30, 31, 34, 37; Sec. 12.1 1, 6, 8, 13, 16, 18, 23
Assigned on Thu. 9/3: Sec. 12.2 2, 4, 7, 10, 11, 12, 17, 21, 23, 27
Assigned on Tue. 9/8: Sec. 12.3 1, 5, 6, 14, 15, 17, 23, 31, 37, 39, 40; Sec. 12.4 1, 4, 9, 10, 15, 16, 23, 24, 37, 40
Assigned on Thu. 9/10: Sec. 12.5 2, 3, 4, 10, 11, 25, 28, 34, 35, 40
Assigned on Tue. 9/15: Sec. 12.8 2, 5, 6, 15, 18, 37, 38, 42, 43, 46; Sec. 12.9 6, 8, 9, 12, 15, 18, 24, 29, 36, 39, 42, 45
Assigned on Thu. 9/17: Sec. 8.7 2, 3, 7, 8, 12, 17, 20
Assigned on Tue. 9/22: Sec. 9.1 3, 4, 8, 9, 12, 24, 27, 35, 38, 40; Sec. 9.2 3, 4, 10, 11, 14, 15, 18, 21
Assigned on Thu. 9/24: Sec. 9.3 3, 4, 9, 10, 21, 22, 25, 27; Sed. 1.1 (switch book from now on) 1, 2, 4, 6, 7, 9, 11, 14
Assigned on Tue. 9/29: Sec. 1.2 2, 3, 6, 8, 14, 15, 16, 17, 20, 23, 28, 29
Assigned on Thu. 10/8: Sec. 1.3 2, 3, 6, 8, 11, 12, 14, 15, 21, 26
Assigned on Tue. 10/13: Sec. 1.4 1, 2, 4, 5, 6, 7, 9, 10, 11, 16; Sec. 1.5 2, 4, 6, 7, 9, 10, 12, 14, 15, 18, 23, 26
Assigned on Thu. 10/15: Sec. 1.6 2, 3, 6, 8; Sec. 2.1 2, 3, 6, 7, 10, 11, 13, 14, 15, 17, 22, 26, 27
Assigned in the week of 10/19: Sec. 2.2 1, 2, 3, 4; Sec. 2.3 2, 4, 6, 7, 8, 10, 11, 12, 13, 15
Assigned on Tue. 10/27: Sec. 2.4 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16