MTH 2254  -   Calculus IV

Information for Students **, page 1 of 2

2002-2003

Text:  Vector Calculus, 4th edition, Marsden & Tromba, W.H. Freeman and Co., 1996.

Course objectives: http://www.austincc.edu/mthdept2/tfcourses/obj2254.htm

MTH 2254-Calculus IV covers Chapters 2,4,5,6,7,8.   This course serves as an extension of the traditional calculus sequence and contains additional topics relevant to students majoring in engineering, physics, and applied mathematics, including:

1.       differentiability generalized to multivariable functions

2.       an introduction to vector fields and flow lines

3.       a description of four differential operators:  gradient, divergence, curl, and Laplacian

4.       the change-or-variables theorem for double and triple integrals

5.       path integrals and line integrals

6.       parametrization of surfaces

7.       surface integrals

8.       Green's theorem, Stokes' theorem, the divergence theorem

9.       conservative vector fields

10.   Maxwell's equations

The prerequisite for this course is satisfactory completion (grade C or higher) of either MATH 2415-Calculus III at ACC or a comparable course at another institution.

On the first day of class your instructor will distribute written information regarding office hours, instructor contact information, exams, homework, and grading policy.  Tutoring is available at the Learning Labs, but the hours in which tutors for this course are available are fairly limited.  Check in advance.

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.   However, the instructor may withdraw you for excessive absences (4) or for failure to meet course objectives.   The deadline for withdrawals is listed in the calendar in the semester schedule.

Incomplete grades (I) are given only in the rarest of circumstances.   Generally, to receive an incomplete the student must have taken all examinations 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 course completion.   Incompletes cannot be given merely to allow the student an opportunity to avoid receiving a grade of F.

**Additional information about ACC's mathematics curriculum and faculty is available on the Internet at <http://www.austincc.edu/math/>

The semester schedule for this course will likely proceed as follows:  

 

16-Week Semester

11-Week Semester

Week

    

1

Sections 2.2-2.3

Sections 2.2-2.4

2

Sections 2.4-2.5

Sections 2.4(cont)-2.6

3

Section 2.6

Sections 4.1,4.3-4.4

4

Sections 4.1,4.3

Sections 5.1-5.3

5

Sections 4.4,5.1

Sections 5.4,5.6,6.1

6

Sections 5.2-5.4

Sections 6.1(cont)-6.3

7

Sections 5.6,6.1

Sections 6.3(cont).7.1-7.2

8

Sections 6.2-6.3

Sections 7.2(cont)-7.4

9

Sections 6.3(cont),7.1

Sections 7.5-7.6,8.1

10

Section 7.2

Sections 8.2-8.3

11

Sections 7.3-7.4

Sections 8.4, Review, Exam

12

Sections 7.5-7.6

 

13

Sections 7.6(cont),8.1

  

14

Sections 8.2-8.3

 

15

Sections 8.3(cont)-8.4

  

16

Review, Exam