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MATH 1272: Calculus II (Spring 2016) Lecture 010

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

Lecture: 9:05 -- 9:55 Monday, Wednesday, Friday, Anderson Hall 210.

Discussion sections:

  • 011, Jiguang Shen, 9:05-9:55, Tu,Th, Amundson Hall 124.
  • 012, Pak Yeung Chan, 9:05-9:55, Tu,Th, Appleby Hall 303.
  • 013, Ashley Earls, 9:05-9:55, Tu,Th, Appleby Hall 3.
  • 014, Jiguang Shen, 10:10-11:00, Tu,Th, Amundson Hall 124.
  • 015, Ashley Earls, 10:10-11:00, Tu,Th, Appleby Hall 319.
  • 016, Pak Yeung Chan, 10:10-11:00, Tu,Th, Appleby Hall 303.

Office hours: TAs' office hours are open to students from any discussion associated to Lecture 010.

Instructoroffice houroffice hour locationemail address
Craig WesterlandM: 10-11, W: 10-11, 1-2Vincent (VinH) 459cwesterl@umn.edu
Jiguang ShenT: 1-3, W: 10-12VinH 322shenx179@umn.edu
Pak Yeung ChanT, Th, 11-1VinH 360chanx305@umn.edu
Ashley EarlsT,Th: 8-9, 11-12VinH 503earls006@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 18 February, Thursday 24 March, Thursday 21 April. Here are the solutions to last year's exams.
  • (40%) Final exam Monday, May 9 1:30-4:30 pm, location TBA. Here is last year's exam, 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, 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.
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