MTH 2254 - Calculus IV
Two texts have been approved for this course: Allison | Marsden & Tromba
Check with your instructor to see which will be used in your section.
1999-2000
Text: Vector Calculus, a photocopied manuscript by Dennis Allison, RGC
MTH 2254-Calculus IV covers Chapters 2,3,5,6,7 of the manuscript. 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:
(i) differentiability generalized to multivariable functions
(ii) an introduction to vector fields and flow lines
(iii) a description of four differential operators: gradient, divergence, curl, and Laplacian
(iv) the change-or-variables theorem for double and triple integrals
(v) path integrals and line integrals
(vi) parametrization of surfaces
(vii) surface integrals
(viii) Green's theorem, Stokes' theorem, the divergence theorem
(ix) conservative vector fields
(x) 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 exams, homework, and grading policy. Students who believe that they will need regular extra tutoring are encouraged to register for the Lab Classes or to use the Course Lab Hours. The availability of Lab Classes is fairly limited. Lab Classes are listed in the schedule of classes, or your instructor can give you the information. The Learning Labs will be establishing regular course lab hours which will be free group tutoring sessions for a single course. The days, times and locations for these Course Lab Hours will be announced during the first week of classes. Students who need the extra help and do not have a lab class available are encouraged to regularly attend the Course Lab Hours. Also, the Learning Labs at most ACC campuses offer free tutoring on a walk-in basis. Of course, your instructor will also have office hours each week to assist you so take advantage of them.
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.
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 2.3(cont)-2.4 |
Sections 2.4(cont)-2.6 |
|
3 |
Sections 2.4(cont)-2.5 |
Sections 3.2-3.3 |
|
4 |
Sections 2.6,3.2 |
Sections 3.4, 5.1-5.2 |
|
5 |
Section 3.3 |
Sections 5.3-5.4 |
|
6 |
Sections 3.4 |
Sections 5.5, 6.1 |
|
7 |
Sections 5.1-5.2 |
Sections 6.2-6.3 |
|
8 |
Sections 5.3-5.4 |
Sections 6.4-6.5 |
|
9 |
Sections 5.4(cont)-5.5 |
Sections 7.1-7.2 |
|
10 |
Sections 5.5(cont)-6.1 |
Sections 7.2(cont)-7.3 |
|
11 |
Sections 6.2-6.3 |
Sections 7.4, Review, Exam |
|
12 |
Sections 6.3(cont)-6.4 |
|
|
13 |
Sections 6.5,7.1 |
|
|
14 |
Sections 7.1(cont)-7.2 |
|
|
15 |
Sections 7.3-7.4 |
|
|
16 |
Review, Exam |
|
Information for Students
1999-2000
Text: Vector Calculus, 4th edition, Marsden & Tromba, W.H. Freeman and Co., 1996.
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:
(i) differentiability generalized to multivariable functions
(ii) an introduction to vector fields and flow lines
(iii) a description of four differential operators: gradient, divergence, curl, and Laplacian
(iv) the change-or-variables theorem for double and triple integrals
(v) path integrals and line integrals
(vi) parametrization of surfaces
(vii) surface integrals
(viii) Green's theorem, Stokes' theorem, the divergence theorem
(ix) conservative vector fields
(x) 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 exams, homework, and grading policy. Students who believe that they will need regular extra tutoring are encouraged to register for the Lab Classes or to use the Course Lab Hours. The availability of Lab Classes is fairly limited. Lab Classes are listed in the schedule of classes, or your instructor can give you the information. The Learning Labs will be establishing regular course lab hours which will be free group tutoring sessions for a single course. The days, times and locations for these Course Lab Hours will be announced during the first week of classes. Students who need the extra help and do not have a lab class available are encouraged to regularly attend the Course Lab Hours. Also, the Learning Labs at most ACC campuses offer free tutoring on a walk-in basis. Of course, your instructor will also have office hours each week to assist you so take advantage of them.
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.
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 |
|
Last updated August 1, 1999.
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