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MATH 1272: Calculus II (Fall 2016)

Lecturer: Craig Westerland, 459 Vincent Hall, 612-625-0523, cwesterl@umn.edu.

Lectures:

  • Section 020: 9:05 -- 9:55 Monday, Wednesday, Friday, Bruininks Hall 220.
  • Section 030: 1:25 -- 2:15 Monday, Wednesday, Friday, Bruininks Hall 230.

Discussion sections:

  • 021, Ashley Earls, 9:05-9:55, Tu,Th, Peik Hall 155.
  • 022, Curtis Heyda, 9:05-9:55, Tu,Th, Vincent Hall 2.
  • 023, Pak Yeung Chan, 9:05-9:55, Tu,Th, Vincent Hall 1.
  • 024, Cora Brown, 9:05-9:55, Tu,Th, Bruininks Hall 144.
  • 025, Curtis Heyda, 10:10-11:00, Tu,Th, Lind Hall 229.
  • 026, Pak Yeung Chan, 10:10-11:00, Tu,Th, Lind Hall 203.
  • 027, Cora Brown, 10:10-11:00, Tu,Th, Bruininks Hall 144.
  • 031, Sylvia Agwang, 12:20-1:10, Tu,Th, Nicholson Hall 315.
  • 032, Nadia Ott, 12:20-1:10, Tu,Th, Vincent Hall 209.
  • 033, Amber Yuan, 12:20-1:10, Tu,Th, Vincent Hall 20.
  • 034, Sylvia Agwang, 1:25-2:15, Tu,Th, Bruininks Hall 123.
  • 035, Nadia Ott, 1:25-2:15, Tu,Th, Vincent Hall 207.
  • 036, Amber Yuan, 1:25-2:15, Tu,Th, Vincent Hall 206.

Office hours: TAs' office hours are open to students from any discussion associated to Lecture 020 or 030.

Instructoroffice houroffice hour locationemail address
Craig WesterlandT: 3:30-4:30; W: 10-11; F: 10:15-11:15Vincent Hall 459cwesterl@umn.edu
Ashley EarlsT, Th: 8-9Vincent Hall 503earls006@umn.edu
Curtis HeydaT, Th: 11-1Vincent Hall 424heyda007@umn.edu
Pak Yeung ChanM, W, F: 1:20-2:20, T: 11:10-12:10Vincent Hall 422chanx305@umn.edu
Cora BrownT: 12-1; M, W, Th: 11:10-12:10Vincent Hall 552brow3138@umn.edu
Sylvia AgwangM, W: 2:30-4Vincent Hall 456agwan003@umn.edu
Nadia OttT, Th: 9-11Vincent Hall 520ottxx141@umn.edu
Amber YuanT, Th: 11:15-12:15, 2:30-3:30Vincent Hall 520yuanx290@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, 8th edition, chapters 7-12. Warning: While there is a very large overlap of the text of the 7th and 8th editions, the problem sets differ substantially. Since homework problems are a large part of this course, you are strongly discouraged from using the 7th edition, and your TAs will not be responsible for discussing problems from this edition.

Assessment

  • (15%) Nine weekly quizzes, in discussion on Thursdays that are not exam days or Thanksgiving. No makeups, highest seven scores count.
  • (45%) Three 50-minute exams, in discussion: Thursday 6 October, Thursday 3 November, Thursday 1 December. Here are the solutions to the exams from Spring 2015.
  • (40%) Final exam Friday, 16 December 1:30-4:30 pm, location TBA. Here is the exam from Spring 2015, and here are some sample exams from previous years. Locations TBA.

Homework

Homework will not be collected and will not be graded, but quiz and exam problems will be similar to the suggested exercises which are listed below. Working many exercises is essential for success in the course.
  • 7.1: 5, 9, 10, 17, 21, 27, 31, 35, 39, 41 51
  • 7.2: 1, 5, 7, 11, 19, 23, 27, 33, 41, 47, 57
  • 7.3: 3, 7, 8, 11, 15, 19, 21, 25, 29, 31, 40
  • 7.4: 7, 9, 13, 17, 19, 23, 29, 33, 39, 43, 47
  • 7.5: 1, 5, 7, 9, 17, 21, 27, 39, 43, 47, 51, 59, 63
  • 7.8: 1, 5, 9, 13, 17, 19, 27, 29, 37, 41, 49, 51
  • 8.1: 11, 12, 15, 17, 21, 22, 40
  • 8.2: 7, 9, 10, 15, 17, 31, 33
  • 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, 11, 13, 17, 19, 31, 43, 47
  • 9.4: 1, 3, 5, 7, 9, 21
  • 9.5: 7, 9, 11, 13, 15, 17, 19, 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.
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