Houston Community College
Northwest College
Math Department
Instructor : Hung Q. Dam
Phone : 832-798- 5983
Fall 2013
CRN: 36339
Math 2415: Calculus III
Jan 14 to May 08
MW: 5:00 pm to 7:00 pm
COURSE SYLLABUS
Audience: This course is intended basically for students who are pursuing degrees in
mathematical sciences and engineering and who are required by the nature of their
respective curricula to enroll in the 3-semester calculus series. Students enrolled in other
areas not requiring calculus may wish to take this course as an elective to broaden their
mathematical background, provided the following necessary prerequisites have been met.
Prerequisites: Math 2414. Pass with a “C” or better.
Course Intent: This course provides a detailed study of:
(a) Vectors and the Geometry of Space
(b) Vector-Valued Functions
(c) Functions of Several variables
(d) Multiple Integration
(e) Vector Analysis
Course Objectives: Upon completion of this course, a student should be able to:
(1) Apply calculus to vectors and vector-valued functions
(2) Describe and use partial differentiation
(3) Apply Lagrange multipliers to solve problems
(4) Solve multiple integrals
(5) Find the Jacobian using determinant notation
(6) Apply Green’s theorem to evaluate line integrals around a bounded area
(7) Apply the Divergence theorem and Stokes' theorem to specific problems
Text Book:. CALCULUS by Larson & Edwards, 9th edition, Brooks/Cole, Cengage
Learning, 2010
Resource Materials: Any student enrolled in Math 2415 at HCCS has access to the
Academic Support Center where they may get additional help in understanding the theory
or in improving their skills. The Center is staffed with mathematics faculty and student
assistants, and offers tutorial help, video tapes and computer assisted drills. Also
available is a Student’s Solutions Manual which may be obtained from the Bookstore.
Suggested Methods: Students are encouraged to work the review exercises at the end of
each chapter. Also, they are encouraged to visit the Academic Support Center at their
respective college.
Attendance : Regular attendance is extremely important in mathematics classes. You
may be dropped for excessive absence (more than 12.5% of the class time, or 2 weeks or
the equivalent). Veterans with excessive absence will be dropped with an official drop
form by the last drop day. If you should decide to withdraw from the course, initiate a
student drop in the office. Should your name remain on the roll at the end of the term,
you must receive a grade.
1
Major Exams: There will be 3 major exams. Each major exam score will count for 25%
of the final course average.
Final Exam: The final exam will cover all the course material. The final exam score will
count for 25% of the final course average.
Grading Formula: The grading formula is :
Co
Course average
=
( T1 + T2 + T3 + F ) ( 0.25 )
where T1, T2, T3 are the 3 major exam scores, and F the final exam score.
Americans With Disabilities Act (ADA): Persons needing accommodations due to a
documented disability should contact the ADA counselor for their college as soon as
possible.
Departmental Policies:
1. The final exam is comprehensive and questions on it can deal with any of the course
objectives.
2. Each student should receive a copy of the syllabus for the course on the first day of
class.
3. A comprehensive final examination must be given. The final examination must be
taken by all students.
4. All major exams should be announced clearly in advance in the course syllabus.
5. The final exam must count for at least 25% and at most 40% of the final grade.
6. The final course average will be used in the usual manner. Grades will be assigned as
follows:
Course average :
Grade :
90 - 100
A
80 - 89
B
70 - 79
C
60 - 69
D
Below 60
F
7.Either an open book or a take-home major exam may be given at the discretion of the
instructor.
8. Review sheets (if any) should be comprehensive and the student should not feel that
classroom notes, homeworks and major exams may be ignored in favor of the review
sheets for examinations.
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2013 SPRING COURSE CALENDAR, MATH 2415
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
M Jan 14, 2013
Vectors in the plane
Space coordinates and Vectors in Space
W Jan 16
The dot product of 2 vectors
11.1
11.2
11.3
WEEK # 2
M Jan 21
MLK Holiday
W Jan 23
The cross product of 2 vectors in Space
Lines & planes in Space
11.4
11.5
WEEK # 3
M Jan 28
Surfaces in Space
Cylindrical & Spherical Coordinates
11.6
11.7
W Jan 30
Vector Valued Functions (VVF)
Differentiation & Integration of VVF
12.1
12.2
WEEK # 4
M Feb 04
W Feb 06
Major Exam # 1
Velocity & Acceleration
3
Sections
11.1 – 11.7
12.3
2013 SPRING COURSE CALENDAR, MATH 2415
WEEK # 5
M Feb 11, 2013
W Feb 13
Tangent vectors & Normal vectors
Arc length & Curvature
12.4
12.5
Functions of several variables
Limits & Continuity
13.1
13.2
WEEK # 6
M Feb 18
W Feb 20
Presidents’ Holiday
Partial Derivatives
13.3
WEEK # 7
M Feb 25
Differentials
Chain Rules for functions of Several Variables
13.4
13.5
W Feb 27
Directional Derivatives & Gradients
13.6
WEEK # 8
M Mar 03
Major Exam # 2
W Mar 06
Tangent planes & Normal lines
Extrema of functions of 2 variables
4
13.7
13.8
2013 SPRING COURSE CALENDAR, MATH 2415
WEEK # 9
M Mar 18
Applications of Extrema of Funct. of 2 Variables
Lagrange Multipliers
13.9
13.10
W Mar 20
Iterated Integrals & Area in the plane
14.1
WEEK # 10
M Mar 25
W Mar 27
Double Integrals & Volume
Change of Variables. Polar Coordinates
14.2
14.3
Center of Mass & Moments of Inertia
14.4
WEEK # 11
M Apr 01
Surface Area
Triple Integrals &Applications
14.5
14.6
W Apr 03
Triple Integrals in Cylindrical & spherical
Coordinates. Change of Variables: Jacobians
14.7
14.8
WEEK # 12
M Apr 08
Major Exam # 3
W Apr 10
Vector Fields
Line Integrals
5
Sections
13.7 – 14.6
15.1
15.2
2013 SPRING COURSE CALENDAR, MATH 2415
WEEK # 13
M Apr 15
Conservative fields & Independence of Path
15.3
W Apr 17
Green’s Theorem
Parametric Surfaces
15.4
15.5
WEEK # 14
M Apr 22
W Apr 24
Surface Integrals
15.6
Divergence Theorem
Stokes’s Theorem
WEEK # 15
M Apr 29
Review for Final Exam
W May 01
No meeting
WEEK # 16
M May 06
W May08
No meeting
Final Exam from 5:00 pm to 7:00 pm
2013 SPRING SEMESTER ENDS
6
15.7
15.8