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Multidimensional Calculus
Math 2057-2
Louisiana State University
Spring Semester, 2011
Prof. Stephen Shipman
Place: Room 127 of Tureaud Hall
Time: Monday, Wednesday, and Friday from 12:40 to 1:30
Office: Room 314 of Lockett Hall
Telephone: 225/578-1674
Email: shipman@math.lsu.edu
Office Hours: Monday 9:30 to 11:30, Thursday 1:30 to 3:30 or by appointment
For a PDF version of the basic course information on this page,
click here: 2057syl.pdf.
Textbook
Multivariable Calculus, Early Transcendentals, by Jon Rogawski.
Prerequisite
The prerequisite for this course is Math 1552, the second semester of calculus, including parametric equations, conic sections, and the geometry and calculus of vectors.
Course Content
The course will cover chapters 14-17 of the textbook. More information on the content can be found
here. The main topics are
- Ch. 14: Differential calculus of functions of several variables.
- Ch. 15: Integral calculus of functions of several variables.
- Ch. 16: Line integrals and surface integrals of functions and vector fields.
- Ch. 17: Fundamental theorems of multidimensional calculus.
Schedule and problems for practice
Section |
Dates |
Problems to do |
| 14.1
| Jan. 19
| 7, 9, 15, 20, 33, 35, 37, 43, 45, 46-49.
|
| 14.3
| Jan. 21
| 7, 8, 45, 49, 53, 54, 56, 59, 67, 69, 77, 79, plus problems from 12-45.
|
| 14.4
| Jan. 24, 26
| 2, 3, 5, 7, 15, 17, 19, 20, 22, 23, 27, 29, 33, 35.
|
| 14.5
| Jan. 26, 28
| 3, 4, 5, 7, 11, 13, 19, 23, 25, 27, 29, 31, 33, 35, 41, 43, 47, 50, 55, 57.
|
| 14.6
| Jan. 28, 31
| 1, 7, 9, 11, 13, 15, 17, 21, 23, 27, 29, 31.
|
| 14.7
| Feb. 2, 7, 9
| 1, 2, 3, 9, 11, 13, 17, 19, 35, 37, 39.
|
| Exam 1
| Feb. 11
| Sections 14.1, 14.3-14.7
|
| 14.8
| Feb. 14, 16
| 1, 3, 5, 11, 13, 15, 19, 29.
|
| 15.1
| Feb. 16, 18
| 3, 12, 15, 16, 23, 24, 25, 27, 29, 30, 31, 39, 42, 44.
|
| 15.2
| Feb. 18, 21
| 1, 3, 9, 13, 15, 19, 21, 22, 23, 25, 29, 31, 33, 37, 39, 41, 49, 51, 53, 55, 57, 59, 64.
|
| 15.3
| Feb. 23, 25
| 5, 9, 11, 13, 17, 19, 25, 27, 29, 31, 33, 37
|
| 15.4
| Feb. 28-Mar. 9
| 3, 5, 7, 9, 10, 11, 15, 17, 19, 23, 27, 33, 34, 35, 39, 41, 43, 49, 51, 53, 55, 57, 59, 61
|
| Exam 2
| Mar. 11
| Sections 15.1-15.4
|
| 16.1
| Mar. 14-16
| 4, 6, 7, 11, 13, 15, 19, 23, 25, 26, 27, 29
|
| 16.2
| Mar. 16-21
| 5, 7, 9, 11, 14, 17, 19, 20, 23, 31, 32, 33, 35, 39, 48, 53, 54, 55
|
| 16.3
| Mar. 23-25
| 1, 5, 7, 8, 9, 13, 15, 17, 19, 24 (important), 25
|
| 16.4
| Mar. 28-30
| 1, 3, 11, 17, 19, 21, 30, 32, 33, 35, 37, 39, 41, 43, 44, 45, 47, 50
|
| 16.5
| Apr. 1-6
| 5, 6, 7, 9, 12, 14-23, 25, 27, 28
|
Exam 3
| Apr. 8
| Sections 16.1-16.5 (fire alarm)
|
| 17.1
| Apr. 11, 13
| 1, 3, 9, 11, 19, 20, 21, 23, 25, 27, 30, 31
|
| Exam 3
| Apr. 15
| Sections 16.1-16.5, 17.1
|
| 17.2
| Apr. 25-29
| All odd-numbered problems at least.
|
| 17.3
| May 2-6
| 5, 7, 9, 11, 12, 13, 15, 17, 22, 28, 29 and p. 1017 #34
|
| Final Exam
| Sat., May 14
| 12:30-2:30
|
Exam schedule
- Exam 1: Friday, Feb. 11 on Chapter 14
- Exam 2: Friday, Mar. 11 on Chapter 15
- Exam 3: Friday, Apr. 8 on Chapter 16
- Final exam: Saturday, May 14, from 12:30 to 2:30
The final exam will be comprehensive but will focus on Chapter 17.
Evaluation
Evaluation of performance in the course is based on scores on the exams as follows:
- Three in-class exams: 20% each
- Final exam: 40%
Grading scale: A---at least 90%; B---at least 80%; C---at least 70%; D---at least 60%.
Ethical Conduct
Students must abide by the LSU
Code of Student Conduct.
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