MTH 227
Calculus III
I.
MTH 227 Calculus III - 4 Semester Hours
II.
Course Description
This is the third of three courses in the basic calculus sequence. Topics include vector
functions, functions of two or more variables, partial derivatives (including applications),
quadric surfaces, multiple integration, and vector calculus (including Green’s Theorem,
Curl and Divergence, surface integrals, and Stokes’ Theorem.
III.
Prerequisite
C or higher in MTH 126 or equivalent.
IV.
Textbook
Calculus by Larson, 8th ed.
V.
Course Objectives
The objective of this course is to provide an understanding of concepts, develop
competent skills, and demonstrate applications in the following areas:
1.
2.
3.
4.
Calculus of multi-variable functions
Vector-valued functions
Vector fields and line integrals
Three-dimensional graphing
This course seeks to build upon the experiences and knowledge from Calculus II while
preparing students for further courses in mathematics, science or engineering.
Alabama Department of Post Secondary
Representing Alabama’s Public Two year College System
VI.
Course Outline of Topics
A. This course shall include the following topics as a minimum.
1. Quadric Surfaces
2. Cylindrical and spherical coordinates
3. Calculus and Vector-Valued Functions
a. Differentiation and integration of vector-valued functions
b. Velocity and acceleration
c. Tangent vectors and normal vectors
d. Arc length and curvature
4. Functions of Several Variables
a. Limits and continuity
b. Partial derivatives
c. Differentials
d. Chain rules for functions of several variables
e. Directional derivatives and gradients
f. Tangent planes and normal lines
g. Extrema of functions of two variables
h. Application of extrema of functions of two variables
i. Lagrange multipliers
5. Multiple Integration and Applications
a. Iterated integrals
b. Double integrals and volume
c. Change of variables: polar coordinates
d. Center of mass and moments of inertia
e. Surface area
f. Triple integrals and applications
g. Triple integrals in cylindrical and spherical coordinates
6. Vector Fields and Line Integrals
a. Conservative vector fields and independence of path
b. Green’s Theorem
c. Parametric surfaces
d. Surface integrals
e. Divergence Theorem
f. Stokes’ Theorem
VII.
Evaluation and Assessment
Evaluation and assessment techniques include the following:
Evaluation:
55% - Test Average: There will be 6 major tests during the course of the
semester. The average of these grades is the Test Average.
Make-up Exams: Any student missing an exam will not be allowed to make it
up.
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20% - Daily Average: This grade will include group assignments, handouts and
quizzes. Homework will be assigned daily. Homework will not be taken up;
however, quizzes will come directly from the homework.
5% - Class Participation: Students must be present to participate in class
discussion. Each student will be assigned 200 points at the beginning of the
semester for class participation. Points will be deducted from the 200 points for
every absence above 3.
20% - Final Exam Grade: At the end of the course there will be a
comprehensive final exam.
Final Exam: Monday May 5, 2008 at 8:00 am- 10:00 am
Note: Lowest Test Grade will be dropped provided the student has not exceeded the
allotted 3 absences.
Grades will be given based upon A = 90 – 100%, B = 80 – 89%, C = 70 – 79%, D = 60 –
69%, and F = below 60%.
VIII.
Attendance
Students are expected to attend all classes for which they are registered. Students who are
unable to attend class regularly, regardless of the reason or circumstance, should
withdraw from that class before poor attendance interferes with the student’s ability to
achieve the objectives required in the course. Withdrawal from class can affect eligibility
for federal financial aid. See the JDCC school attendance policy. Students missing
more than 15% of scheduled classes may be withdrawn from this course. This
correlates to 7 absences.
Any student missing a test will make up that test on a date to be determined by the
instructor. To receive a grade of I (incomplete), the student must fill out a form stating
the reasons for requesting this assigned grade. Any student withdrawing before
midterm, February 29, will receive a grade of W. Any student withdrawing after
midterm may do so with the approval of the instructor. All withdrawals must be
completed by Monday, April 28.
Other attendance notes:
Class will not meet on:
Monday, January 21, Martin Luther King Holiday
Monday, February 18, President’s Day Holiday
Friday, March 21, Faculty Duty Days (no classes)
March 24-28, Spring Break
Monday, April 14, Faculty Duty Days (no classes)
IX.
Statement on Discrimination/Harassment
The College and the Alabama State Board of Education are committed to providing both
employment and educational environments free of harassment or discrimination related to
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an individual’s race, color, gender, religion, national origin, age, or disability. Such
harassment is a violation of State Board of Education policy. Any practice or behavior
that constitutes harassment or discrimination will not be tolerated. Any member of the
college community who believes that he or she has been the victim of harassment may
bring the matter to the attention of any College official, dean, director, supervisor, or
advisor.
X.
Americans with Disabilities
The Rehabilitation Act of 1973 (Section 504) and the Americans with Disabilities Act of
1990 state that qualified students with disabilities who meet the essential functions and
academic requirements are entitled to reasonable accommodations. It is the student’s
responsibility to provide appropriate disability documentation to the College’s ADA
Accommodations representative located in the Student Affairs Department.
XI.
Instructor Information
Instructor:
Loletta Redmon
Office:
Pate Building Room #6
Office Telephone:
251-809-1542
E-mail:
[email protected]
Office hours:
On door
Course Outline: Math 125- Calculus 1- Spring Semester 2008
DATE
9-Jan
11-Jan
14-Jan
16-Jan
18-Jan
21-Jan
23-Jan
25-Jan
28-Jan
30-Jan
1-Feb
4-Feb
6-Feb
8-Feb
11-Feb
13-Feb
15-Feb
ASSIGNMENT
Orientation, Review Syllabus
Sections 8.1, 8.2
Sections 8.2, 8.3
Sections 8.3, 8.4
Sections 8.4, 8.5
No Class (MLK)
Review for Test, Section 8.5
Test #1 –Chapter 8
Sections 10.1, 10.2
Sections 10.2, 10.3
Sections 10.3, 10.4
Sections 10.4, 10.5
Review for Test, Section 10.5
Test #2 – Chapter 10
Sections 11.1, 11.2
Sections 11.2, 11.3
Sections 11.3, 11.4
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18-Feb
20-Feb
22-Feb
25-Feb
27-Feb
29-Feb
3-Mar
5-Mar
7-Mar
10-Mar
12-Mar
14-Mar
17-Mar
19-Mar
21-Mar
24-Mar
26-Mar
28-Mar
31-Mar
No Class (President's Day)
Review for Test, Section 11.4
Test #3- Chapter 11
Sections 12.1, 12.2
Sections 12.2, 12.3
Sections 12.3, 12.4
Sections 12.4, 12.5
Review for Test, Section 12.5
Test #4-Chapter 12
Sections 13.1, 13.2
Sections 13.2, 13.3
Sections 13.3, 13.4
Sections 13.4, 13.5
Test #5 – 1st Half of Chapter 13
No Class (Faculty Duty Day)
Spring Break
Spring Break
Spring Break
Sections 13.6, 13.7
2-Apr
Sections 13.7, 13.8
4-Apr
Sections 13.8, 13.9
7-Apr
Sections 13.9, 13.10
9-Apr
Review for Test, Section 13.10
11-Apr
Test #5 – 2nd Half of Chapter 13
14-Apr
16-Apr
No Class (Faculty Duty Day)
Sections 14.1, 14.2
18-Apr
Sections 14.2, 14.3
21-Apr
Sections 14.3, 14.4
23-Apr
Sections 14.4, 14.5
25-Apr
Review for Test, Section 14.5
28-Apr
Test #6 – Chapter 14
30-Apr
Final Exam Review
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