MATH 1272: Calculus II (Spring 2015) Lecture 030
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Lecturer: Craig Westerland, 459 Vincent Hall, 612-625-0523, cwesterl@umn.edu.
Lecture: 12:20 -- 1:10 Monday, Wednesday, Friday, Keller Hall 3-210.
Discussion sections:
- 031, Amit Sharma, 12:20 -- 1:10, Tu,Th, AkerH 313.
- 032, Gregory Michel, 12:20 -- 1:10, Tu,Th, ApH 11.
- 033, Michelle Pinharry, 12:20 -- 1:10, Tu,Th, VinH 211.
- 034, Amit Sharma, 1:25 -- 2:15, Tu,Th, AkerH 317.
- 035, Gregory Michel, 1:25 -- 2:15, Tu,Th, AmundH 162.
- 036, Michelle Pinharry, 1:25 -- 2:15, Tu,Th, AmundH 158.
Office hours: TAs' office hours are open to students from any discussion associated to Lecture 030.
| Instructor | office hour | office hour location | email address |
| Craig Westerland | W: 1:30-2:30, 3:30-4:30, F: 1:30-2:30 | Vincent (VinH) 459 | cwesterl@umn.edu |
| Amit Sharma | T, Th: 2:20-3:50 | VinH 526 | sharm121@umn.edu |
| Gregory Michel | M: 2:45-3:45, W: 10-11, Th: 10:30-11:30 | VinH 524 | miche417@umn.edu |
| Michelle Pinharry | M, W: 3:30-5:30 | VinH 520 | pinha002@umn.edu |
The course has a Moodle site.
Goals and Objectives
Calculus is both a beautiful mathematical subject in its own right, and incredibly useful in the physical sciences. In this course, we will address both of these aspects. While Calculus I introduced the main players in the story - the derivative and the integral - and how they relate, the focus of Calculus II is on their use, both within mathematics, and in applications. Broadly speaking, the class has four goals:
- Learning how to integrate complicated functions.
- Using integration techniques to solve differential equations, especially those coming from
physical or social systems.
- Using sequences and series to compute/approximate numbers or functions.
- Studying geometric objects in two and three dimensions using tools from calculus.
Main Topics
Here is the
syllabus. The material covered will be drawn from the following: Techniques of integration, including integration by parts, simple trig substitutions, partial fractions. Basic numerical integration; improper integrals; arc length; area of surface of revolution. Separable differential equations, Euler's method, exponential growth and decay. Parametric curves and polar coordinates. Review of conic sections. Sequences and series, comparison and ratio tests, Taylor series and polynomials. Vectors in three dimensions, dot product, cross product, lines, planes, cylinders, quadric surfaces; cylindrical and spherical coordinates
Textbook
Stewart,
Calculus: Early Transcendentals, volume 1, 7th edition, chapters 7-13.
Assessment
- (15%) Ten weekly quizzes, in discussion on Thursdays that are not exam days. No makeups, highest seven scores count.
- (45%) Three 50-minute exams, in discussion: Thursday 19 February, Thursday 26 March, Thursday 23 April. Here are the solutions.
- (40%) Final exam Monday, May 11 1:30-4:30 pm. Here are some sample exams from previous years. Locations:
- Discussion sections 031, 032, 034: Fraser Hall 101.
- Discussion sections 033, 035, 036: Fraser Hall 102.
Homework
Homework will not be collected and will not be graded, but quiz and exam problems will be similar to the suggested exercises which will be listed below. Working many exercises is essential for success in the course. A list of suggested problems will appear here.
- 7.1: 5, 9, 11, 17, 21, 29, 31, 35, 37, 41, 51
- 7.2: 1, 5, 7, 11, 13, 21, 29, 33, 41, 47, 57
- 7.3: 3, 5, 7, 11, 15, 19, 21, 23, 29, 31, 40
- 7.4: 7, 9, 13, 17, 19, 23, 27, 35, 39, 43
- 7.5: 1, 5, 11, 17, 21, 27, 39, 43, 47, 51, 59, 63
- 7.8: 1, 5, 9, 13, 17, 19, 27, 29, 39, 41, 49, 51
- 8.1: 8, 9, 10, 12, 15, 19, 20, 36
- 8.2: 5, 7, 8, 10, 14, 29, 30, 31
- 8.3: 21, 24, 25, 28, 29, 30, 37
- 9.1: 1, 3, 5, 7, 9, 11
- 9.2: 1, 3, 4, 5, 6, 11, 19, 21
- 9.3: 3, 7, 13, 17, 19, 31, 43, 47
- 9.4: 1 (a, b, d), 3, 5, 7, 9, 19
- 9.5: 7, 9, 11, 13, 15, 17, 27, 35
- 9.6: 5, 7, 11
- 10.1: 3, 7, 9, 11, 15, 23, 25, 27, 41
- 10.2: 1, 3, 5, 7, 13, 17, 31, 33, 43, 51, 61
- 10.3: 5, 11, 17, 19, 21, 31, 39, 49
- 10.4: 1, 5, 9, 11, 17, 23, 45, 47
- 10.5: 3, 5, 11, 19, 21, 57
- 11.1: 3, 9, 13, 15, 23, 25, 33, 41, 47, 64, 69
- 11.2: 1, 3, 7, 15, 17, 23, 29, 33, 39, 43, 47, 51, 59, 61, 87
- 11.3: 1, 3, 7, 11, 15, 23, 27, 29, 34, 39
- 11.4: 1, 3, 7, 15, 17, 19, 27, 37, 43
- 11.5: 1, 3, 5, 9, 17, 19, 23, 27, 33
- 11.6: 1, 3, 5, 11, 15, 21, 25, 29, 31, 35, 39
- 11.7: 1, 3, 7, 9, 11, 17, 19, 23, 25, 35, 37
- 11.8: 3, 5, 7, 11, 17, 19, 21, 23, 29, 37
- 11.9: 1, 3, 9, 11, 13, 15, 19, 25, 36
- 11.10: 1, 3, 5, 7, 13, 15, 17, 19, 21, 31, 33, 43, 63, 65
- 12.1: 3, 5, 7, 11, 17, 21, 23, 25, 27, 31, 37
- 12.2: 9, 11, 15, 17, 19, 21, 23, 25, 29, 33, 35
- 12.3: 3, 7, 13, 17, 21, 23, 25, 29, 41, 43, 45, 51
- 12.4: 1, 5, 15, 16, 19
- 12.5: 5, 9, 11, 13, 19, 23, 25, 27, 29, 31, 35, 37, 51, 61, 71, 73.
Student Conduct Code
General Policy Statements for Syllabi