MTH 2415

Calculus III

Information for Students

1999-2000

Text: Calculus, Concepts and Contexts by Stewart, 1st edition, Brooks/Cole, 1998

Optional: Study Guide

MTH 2415-Calculus III covers material in Chapters 9, 10, 11, 12 of the text. The first two semesters of the calculus sequence dealt with material in two-dimensional rectangular Cartesian coordinates. A primary goal of Calculus III is to extend these ideas to three dimensions and to other coordinate systems. Therefore, in this course we introduce:

(i) several methods for interpreting graphs of multivariable functions

(ii) properties of vectors

(iii) differentiation and integration of multivariable functions

(iv) parametric equations of curves in two and three dimensions

(v) a mathematical description of motion in space

The prerequisite for this course is satisfactory completion (grade C or higher) of either MTH 2414, Calculus II, at ACC or a comparable course at another institution. Such a course should have included techniques of integration, Taylor series, and improper integrals.

On the first day of class your instructor will distribute written information regarding exams, homework, and grading policy.

To do homework and study requires two or three times as much time outside of class as the time you spend in class in order to succeed in this course. If you need regular out-of-class help, lab classes (see the course schedule) or group tutoring sessions organized by the Learning Labs are available at most campuses. Free tutoring is also available at any of the ACC's Learning Labs. However, the tutors stay extremely busy, and you may have to wait to see them. Of course, your instructor will also have regular office hours each week to assist you too. So take advantage of these aids to your studies.

Should you wish to withdraw from this course at some time during the semester, be aware that you must initiate this procedure by going to the Registrar's Office at any ACC campus. Do not expect the instructor to withdraw you. On the other hand, the instructor may withdraw you for excessive absences (usually four) or for failure to meet course objectives. The deadline for withdrawals is listed in the calendar given in the semester schedule.

Incomplete grades (grade I) are given only in the rarest of circumstances. To receive an incomplete the student must have taken all exams given prior to the final three weeks of class, be passing, and have a personal tragedy that has occurred within the last three weeks of the semester that prevents completion of the course. Incompletes cannot be given to allow the student to avoid receiving an F.

 

The time schedule for the material in this course will likely proceed as follows:

Week

16-Week Semester

11-Week Semester

1

Appendices B, G1

Appendices B, G1, G2

2

G2, 9.1, 9.2

9.1, 9.2, 9.3, 9.4

3

9.3, 9.4

9.5, 9.6, 9.7

4

9.5, 9.6

Review parametric curves, 10.1, 10.2, 10.3

5

9.7, review parametric curves

10.4, project, 11.1

6

10.1, 10.2, 10.3

11.2, 11.3, 11.4

7

10.4, project

11.5, 11.6, 11.7

8

11.1, 11.2

11.8, 12.1, 12.2

9

11.3, 11.4

12.3, 12.4, 12.5

10

11.5, 11.6

12.6, 12.7, 12.8

11

11.7, 11.8

Review, Exam

12

12.1, 12.2

 

13

12.3, 12.4

 

14

12.5, 12.6

 

15

12.7, 12.8

 

16

Review, Exam

 

 


Last updated August 1, 1999. Comments, questions, suggestions?