Houston Community College
Northwest College
Math Department
Alief-Hayes Campus, Room: B213
Instructor: Hung Q. Dam
Spring 2014
CRN: 84729
Math 2414: Calculus II
Jan 13 – May 11
TTh - 11:30 am – 1:30 pm
COURSE SYLLABUS, CAL II, SPRING 2014
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
three 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: Calculus I (Math 2413): Pass with a “C” or better.
Course intent: This course provides a detailed study of:
(a) Logarithmic, Exponential, and Other Transcendental Functions.
(b) Applications of integration.
(c) Integration Techniques, L’Hôpital’s Rule, and Improper Integrals.
(d) Infinite Series.
(e) Conics, Parametric Equations, and Polar Coordinates.
Course Objectives: Upon completion of this course, a student should be able to:
(1) Define and use transcendental functions, including logarithmic and exponential functions.
(2) Compute derivatives and antiderivatives involving transcendental functions.
(3) Apply integration to various applications.
(4) Show various integration techniques
(5) Show correct usage of L’Hôpital’s rule.
(6) Describe and solve improper integrals.
(7) Recognize and use infinite series.
(8) Recognize and apply Taylor series to various problems.
(9) Demonstrate knowledge of plane curves and polar coordinates.
Textbook : CALCULUS WITH ANALYTIC GEOMETRY, by Larson, Hostetler, & Edwards, 11th
edition, Brooks/Cole, Cengage Learning, 2014
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
COURSE SYLLABUS, CAL II, SPRING 2014
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 4 major exams. Each major exam score will count for 15% 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:
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.
COURSE CALENDAR, CAL II, SPRING 2014
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
T Jan 14, 2014
The natural logarithmic function: Differentiation
The natural logarithmic function: Integration
5.1
5.2
Th Jan 16
Inverse Functions
Exponential functions: Diff. and Integration
5.3
5.4
WEEK # 2
T Jan 21
Bases other than e and applications
Inverse trigonometric functions: Differentiation
5.5
5.6
Th Jan 23
Inverse trigonometric functions: Integration
Hyperbolic Functions
5.7
5.8
WEEK # 3
T Jan 28
Slope fields and Euler’s Method
Differential Equations: Growth and decay
6.1
6.2
Th Jan 30
Separation of Variables and the Logistic Equation
First-Order Linear Equations
6.3
6.4
WEEK # 4
T Feb 04
Area of a region between two curves
Volume: the disc method
7.1
7.2
Th Feb 06
Volume: the shell method
7.3
COURSE CALENDAR, CAL II, SPRING 2014
WEEK # 5
T Feb 11
Th Feb 13
Major Exam # 1
Arc length and surfaces of revolution
Work
7.4
7.5
WEEK # 6
T Feb 18
Moments, centers of mass and centroids
Fluid pressure and fluid force
7.6
7.7
Th Feb 20
Basic integration rules
Integration by parts
8.1
8.2
WEEK # 7
T Feb 25
Trigonometric integrals
Trigonometric substitution
8.3
8.4
Th Feb 27
Partial fractions
Integration by tables and other integration techniques
8.5
8.6
WEEK # 8
T Mar 04
Indeterminate forms and L’Hôpital’s rule
8.7
Th Mar 06
Improper integrals
8.8
COURSE CALENDAR, CAL II, SPRING 2014
SPRING BREAK: MARCH 10 - MARCH 14
WEEK # 9
T Mar 18
Th Mar 20
Major Exam # 2
Sequences
Series and convergence
9.1
9.2
WEEK # 10
T Mar 25
The integral test and p-series
9.3
Th Mar 27
Comparisons of series
Alternating series
9.4
9.5
WEEK # 11
T Apr 01
The ratio and root tests
9.6
Th Apr 03
Taylor polynomials and approximations
Power series
9.7
9.8
WEEK # 12
T Apr 08
Representation of functions by power series
9.9
Th Apr 10
Taylor series and Maclaurin series
9.10
COURSE CALENDAR, CAL II, SPRING 2014
WEEK # 13
T Apr 15
Th Apr 17
Major Exam # 3
Conics and Calculus
Plane curves and parametric equations
10.1
10.2
WEEK # 14
T Apr 22
Parametric equations and Calculus
10.3
Th Apr 24
Polar coordinates and polar graphs
Area and arc length in polar coordinates
10.4
10.5
WEEK # 15
T Apr 29
Th May 01
Polar Equations of Conics and Kepler’s Laws
Review for Final Exam
10.6
Covering all
course
objectives
WEEK # 16
Th May 08
Final Exam from 11:30 am to 1:30 pm
2014 SPRING SEMESTER ENDS
Covering all
course
objectives
Final Exam Calendar
http://www.hccs.edu/district/events/academic-calendar/top-events/eventtitle-180363-en.htm