Handout: Fall 1998 / Spring 1999
Handout: Summer 1999 is not yet available
Text: Calculus, by Stewart, 3rd edition, Brooks/Cole, 1995
A Student Solution Guide is available at the bookstore.
MTH 2154-Calculus III covers material in Chapters 9,11,12,13 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 1864-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. You
should be aware that ACC offers an optional one-hour lab (MTH
0221) that accompanies this course. The lab provides an opportunity
for you to receive assistance from a tutor in a small-group setting
at least twice each week. You may enroll in any of the lab sections
at any ACC site around the Austin area.
In addition, you may drop by any of ACC's Learning Labs to receive
assistance for free(!) on a walk-in basis. 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 | Sections 9.1, 9.2 | Sections 9.1, 9.2, 9.3 |
| 2 | Sections 9.3, 9.4 | Sections 9.4, 9.5, 9.6 |
| 3 | Sections 9.5, 9.6 | Sections 11.1, 11.2 |
| 4 | Sections 11.1, 11.2 | Sections 11.3, 11.4, 11.5 |
| 5 | Sections 11.3, 11.4 | Sections 11.6, 11.7, 11.8 |
| 6 | Sections, 11.5, 11.6 | Sections 11.9, 11.10, 12.1, 12.2 |
| 7 | Sections 11.7, 11.8 | Sections 12.3, 12.4, 12.5, 12.6 |
| 8 | Sections 11.9, 11.10 | Sections 12.6(cont.), 12.7, 12.8, 13.1 |
| 9 | Sections 12.1, 12.2 | Sections 13.2, 13.3, 13.4 |
| 10 | Sections 12.3. 12.4, 12.5 | Sections 13.5, 13.6, 13.7 |
| 11 | Sections 12.6, 12.7 | Sections 13.8, Review, Exam |
| 12 | Sections 12.8, 13.1, 13.2 | |
| 13 | Sections 13.3, 13.4 | |
| 14 | Sections 13.5, 13.6 | |
| 15 | Sections 13.7, 13.8 | |
| 16 | Review, Exam |