Houston Community College                                      Fall 2014

Northwest College                                                        CRN: 32555

Math Department                                                       Math 2414: Calculus II

Instructor : Hung Q. Dam                                          Aug 25 to Dec 14, 2014

Phone : 832-798- 5983                                                  TTh: 11:30 am to 1:30 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 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, by Ron Larson & Bruce H. Edwards

10th edition, 2014 BROOKS/COLE, CENGAGE LEARNING

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.

COURSE CALENDAR, MATH 2414 : CALCULUS II

 

SESSION DATE                                   TOPICS                                            SECTIONS
WEEK # 1
T Aug 26, 2014	The natural logarithmic function and differentiation The natural logarithmic function and integration	5.1 5.2
Th Aug 28	Inverse Functions	5.3
WEEK # 2
T Sep 02	Exponential functions: differentiation and integration	5.4
Th Sep 04	Bases other than e and applications	5.5
WEEK # 3
T Sep 09	Inverse trigonometric functions & Differentiation	5.6
Th Sep 11	Inverse trigonometric functions and Integration Hyperbolic Functions	5.7 5.8
WEEK # 4
T Sep16	Major Exam # 1	Sections 5.1 – 5.8
Th Sep18	Differential Equations	6.2 6.3

COURSE CALENDAR, MATH  2414 : CALCULUS II

 

 

WEEK # 5
T Sep 23	Area of a region between two curves Volume: the disc method		7.1 7.2
Th Sep 25	Volume: the shell method		7.3
WEEK # 6
T Sep 30		Arc length and surfaces of revolution Work	7.4 7.5
Th Oct 02		Moments, centers of mass and centroids Fluid pressure and fluid force	7.6 7.7
WEEK # 7
T Oct 07		Basic integration rules Integration by parts	8.1 8.2
Th Oct 09		Trigonometric integrals Trigonometric substitution	8.3 8.4
WEEK # 8
T Oct 14		Major Exam # 2	Sections 6.2 – 8.4
Th Oct 16		Partial fractions Integration by tables and other integration techniques	8.5 8.6

COURSE CALENDAR, MATH  2414 : CALCULUS II

 

 

WEEK # 9
T Oct 21		Indeterminate forms and L’Hôpital’s rule Improper integrals	8.7 8.8
Th Oct 23		Sequences Series and convergence	9.1 9.2
WEEK # 10
T Oct 28		The integral test and p-series	9.3
Th Oct 30		Comparisons of series Alternating series	9.4 9.5
WEEK # 11
T Nov 04	The ratio and root tests		9.6
Th Nov 06	Taylor polynomials and approximations Power series		9.7 9.8
WEEK # 12
T Nov 11	Major Exam # 3		Sections 8.5 – 9.8
Th Nov 13	Representation of functions by power series		9.9

COURSE CALENDAR, MATH  2414 : CALCULUS II

WEEK # 13
T Nov 18		Taylor series and Maclaurin series		9.10
Th Nov 20		Conics and Calculus Plane curves and parametric equations		10.1 10.2
WEEK # 14
T Nov 25	Parametric equations and Calculus Polar coordinates and polar graphs			10.3 10.4
Th Nov 27	Thanksgiving Holiday			No class
WEEK # 15
T Dec 02		Area and arc length in polar coordinates		10.5
Th Dec 04		Polar Equations of Conics and Kepler’s Laws		10.6
WEEK # 16
T Dec 09			Final Exam from 11:00 am to 1:00 pm (Remember: 11:00 am and not 11:30 am)	Sections 9.9 - 10.6

 

 

The end

FALL 2014 - CAl II (32555)
SHORT CALENDAR

 

WEEK	DAY	SECTIONS	WEEK	DAY	SECTIONS
1	Tue Aug 26	5.1, 5.2	9	Tue Oct 21	8.7, 8.8
	Thu Aug 28	5.3		Th Oct 23	9.1, 9.2
2	Tue Sep 02	5.4	10	Tue Oct 28	9.3
	Thu Sep 04	5.5		Thu Oct 30	9.4, 9.5
3	Tue Sep 09	5.6	11	Tue Nov 04	9.6
	Thu Sep 11	5.7, 5.8		Tue Nov 06	9.7, 9.8
4	Tue Sep 16	Major Exam # 1	12	Tue  Nov 11	Major Exam # 3
	Thu Sep 18	6.2, 6.3		Thu Nov 13	9.9
5	Tue Sep 23	7.1, 7.2	13	Tue Nov 18	9.10
	Thu Sep 25	7.3		Thu Nov 20	10.1, 10.2
6	Tue Sep 30	7.4, 7.5	14	Tue Nov 25	10.3, 10.4
	Thu Oct 02	7.6, 7.7		Thu Nov 27	Thanksgiving Holiday
7	Tue Oct 07	8.1, 8.2	15	Tue Dec 02	10.5
	Thu Oct 09	8.3, 8.4		Thu Dec 04	10.6
8	Tue Oct 14	Major Exam # 2	16	Tue Dec 09 (11:00 – 1:00) and NOT (11:30 – 1:30)	Final Exam
	Thu Oct 16	8.5, 8.6