MATH 2057
Analytic Geometry and Calculus III

Fall 2003

  Section 4   Instructor: Dan Cohen   Phone: 578-1576
  M W F   2:40 - 3:30     Office Hours: M W F   1:40 - 2:30   E-mail:
  232 Lockett   Office: 372 Lockett   URL:  

  I will also hold office hours by appointment.

TextCalculus, Early Transcendentals Version, Fourth Edition, by James Stewart. We will cover portions of Chapters 14 - 16 and related topics.

Course Description:  In the third semester of the Calculus sequence, we extend the basic notions from first-year Calculus, differentiation and integration, and their interpretations and applications (tangents, optimization, area, volume...) to functions of several variables. We also study Vector Calculus, generalizing integration to line and surface integrals. These integrals arise in a number of applications (work, fluid flow, electricity and magnetism...), and are related to their predecessors by analogues of the Fundamental Theorem of Calculus.

Exams:  There will be three hour-long, in-class exams, each worth 100 points. These exams will tentatively take place during the weeks of September 22, October 20, and November 17. Exam dates will be announced in class. No make-up exams, except in extreme cases. If you must miss an exam, you should notify me before the exam takes place.

Quizzes:  There will be a number of short in-class quizzes given throughout the semester. There will be no make-up quizzes, but your worst quiz grade will be dropped. In total, the quizzes will be worth 50 points.

Homework:  I will assign homework problems essentially every class. Homework will not be collected. Homework assignments will be announced in class, posted at the Blackboard course site, and occasionally discussed in class as necessary. To some extent, homework problems will be indicative of problems you can expect to encounter on quizzes and exams. The first several homework assignments are included below.

Final:  There will be a comprehensive final exam worth 150 points on Monday, December 8,
10:00 am - 12:00 noon.

Grade:   Your course grade will be out of the 500 possible points outlined above. I may curve course grades. In any case, 90-100% is assured an A, 80-89% a B, and so on.

Important Dates:   Labor Day is September 1; September 2 is the last day to drop; September 4 is the last day to add; Fall Holiday is October 2-3; November 7 is the last day to withdraw; Thanskgiving is November 27-28.

Notes:   In this course, we will focus on developing a conceptual understanding of the calculus. To do well in calculus, plan on spending two hours each day reading the section(s) covered, reviewing class notes, and working homework exercises. You are expected to attend each regularly scheduled class and to keep up with the assigned work. Read each section critically and carefully, look at the worked examples, and work problems in addition to the assigned homework problems if needed to gain a full understanding.

Please bring four large bluebooks to class by the end of the second week, for redistribution and use on the in-class exams and the final exam.

Calculators, computers, books, notes, etc. may not be used on the in-class exams, quizzes, or final exam.

Throughout the semester, information will be posted at the Blackboard site for this course, accessible from

The catalog description of this course may be found at, and the departmental syllabus for this course may be found at

Bear in mind that you are taking this course under the guidelines of the Code of Student Conduct.

Chapter 14 Homework

Section Problems Notes
14.1 5 - 25 (odd), 30, 43 read this section
14.2 3 - 17 (odd), 23, 27, 31, 37 read this section
14.3 5, 11, 13, 15, 21, 31, 33, 37, 39, 41, 45, 49, 51, 53, 65, 69, 79 read this section