Houston Community College
Northwest College
Math Department
Instructor : Hung Q. Dam
Phone : 832-798- 5983
Summer 1, 2013
CRN: 45218
Math 2415: Calculus III
June 03 - July 28
TTh: 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, 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.
Major Exams: There will be 2 major exams. Each major exam score will count for 30%
of the final course average.
Final Exam: The final exam will cover all the course material. The final exam score will
count for 40% of the final course average.
Grading Formula: The grading formula is :
Co
Course average
=
( 0.3 T1 + 0.3 T2 + 0.4 F )
where T1, T2 are the 2 major exam scores, and F is 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.
CALENDAR for CALCULUS III - 2013 SUMMER I
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
June 04
Vectors in the plane
Space coordinates and Vectors in Space
The dot product of 2 vectors
11.1
11.2
11.3
Thursday
June 06
The cross product of 2 vectors in Space
Lines & planes in Space
Surfaces in Space
Cylindrical & Spherical Coordinates
11.4
11.5
11.6
11.7
Tuesday
WEEK #2
June 11
Vector Valued Functions (VVF)
Differentiation & Integration of VVF
Velocity & Acceleration
12.1
12.2
12.3
Thursday
June 13
Tangent vectors & Normal vectors
Arc length & Curvature
12.4
12.5
Tuesday
WEEK # 3
Tuesday
June 18
Thursday
June 20
Major Exam # 1
Functions of several variables
Limits & Continuity
Partial Derivatives
Chapters
11 and 12
13.1
13.2
13.3
CALENDAR for CALCULUS III - 2013 SUMMER I
WEEK # 4
Tuesday
June 25
Thursday
June 27
Differentials
Chain Rules for functions of Several Variables
Directional Derivatives & Gradients
13.4
13.5
13.6
Tangent planes & Normal lines
Extrema of functions of 2 variables
Applications of Extrema of Funct. of 2 Variables
Lagrange Multipliers
13.7
13.8
13.9
13.10
WEEK # 5
Tuesday
July 02
Thursday
July 04
Iterated Integrals and Are in the Plane
Double Integrals & Volume
Change of Variables. Polar Coordinates
Center of Mass & Moments of Inertia
Surface Area
Triple Integrals &Applications
14.1
14.2
14.3
14.4
14.5
14.6
WEEK # 6
Tuesday
July 09
Thursday
July 11
Triple Integrals in Cylindrical & spherical
Coordinates. Change of Variables: Jacobians
Major Exam # 2
14.7
14.8
Chapters
13 and 14
CALENDAR for CALCULUS III - 2013 SUMMER I
WEEK # 7
Tuesday
July 16
Thursday
July 18
Vector Fields
Line Integrals
Conservative fields & Independence of Path
15.1
15.2
15.3
Green’s Theorem
Parametric Surfaces
Surface Integrals
15.4
15.5
15.6
WEEK # 8
Tuesday
July 23
Thursday
July 25
Divergence Theorem
Stokes’s Theorem
Final Exam from 6:00 pm to 8:00 pm
2013 SUMMER I SESSION ENDS
15.7
15.8
Chapter 15