Houston Community College
Northwest College
Math Department
Katy Campus - Room: 216
Instructor: Hung Q. Dam
Summer 2014
CRN: 11391
Math 2415: Calculus III
June 03 to July 27
TuTh: 6:00 pm to 10:00 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, 10th 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.
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.
2014 SUMMER COURSE CALENDAR, CAL III
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
Tu, June 03, 2014
Th, June 05
Vectors in the plane
Space coordinates and Vectors in Space
The dot product of 2 vectors
The cross product of 2 vectors in Space
11.1
11.2
11.3
11.4
Lines & planes in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
11.5
11.6
11.7
WEEK # 2
Tu, June 10
Th, June 12
Vector Valued Functions (VVF)
Differentiation & Integration of VVF
12.1
12.2
Velocity & Acceleration
Tangent Vectors & Normal Vectors
Arc length & Curvature
12.3
12.4
12.5
WEEK # 3
Tu, June 17
Major Exam # 1
Th, June 19
Functions of several variables
Limits & Continuity
Partial Derivatives
Differentials
Chaters
11 & 12
13.1
13.2
13.3
13.4
2014 SUMMER COURSE CALENDAR, CAL III
WEEK # 4
Tue, June 24
Th, June 26
Chain Rules for functions of Several Variables
Directional Derivatives & Gradients
Tangent planes & Normal Lines
13.5
13.6
13.7
Extrema of functions of 2 variables
13.8
Applications of Extrema of Funct. of 2 Variables 13.9
Lagrange Multipliers
13.10
WEEK # 5
Tu, July 01
Th, July 03
Iterated Integrals & Area in the plane
Double Integrals & Volume
Change of Variables. Polar Coordinates
Center of Mass & Moments of Inertia
Surface Area
Triple Integrals &Applications
Triple Integrals in Cylindrical & spherical
Coordinates. Change of Variables: Jacobians
14.1
14.2
14.3
14.4
14.5
14.6
14.7
14.8
WEEK # 6
Tu, July 08
Major Exam # 2
Tu, July 10
Vector Fields
Line Integrals
Chapters
13 & 14
15.1
15.2
2014 SUMMER COURSE CALENDAR, CAL III
WEEK # 7
Tu, July 15
Conservative fields & Independence of Path
Green’s Theorem
15.3
15.4
Th, July 17
Parametric Surfaces
Surface Integrals
15.5
15.6
WEEK # 8
Tu, July 22
Th, July 24
Divergence Theorem
Stokes’s Theorem
Final Exam from 6:00 pm to 8:00 pm
2014 SUMMER SESSION ENDS
15.7
15.8
Chapter 15