Houston Community College                                                       Summer I, 2015

Northwest College Math 2413 : Calculus I

Math Department                                                                               CRN : 55351

Instructor : Hung Q. Dam                                                June 08 - July 12, 2015

Center: Spring Branch                                              MTWTh, 6:00pm - 9:15pm

Room: 215                                                                             Phone: 832-798-5983

COURSE   SYLLABUS

 

Prerequisites: Math 2412. Pass with a “C” or better, or consent of the Department Head.

Audience: This course is a freshman level mathematics course which requires a background consisting of  Math 2412

Course Objectives: Upon completion of this course, a student should be able to:

(1) Describe the basic concepts of mathematical functions and the various types of functions, which exist.

(2) Demonstrate knowledge of the concept of the limit of a function at a point and the properties such limits possess.

(3) Demonstrate knowledge of the idea of continuity of a function.

(4) Differentiate various types of mathematical functions and know the meaning of the various orders of the derivatives, including applications.

(5) Recognize the discontinuity points of certain types of elementary functions.

(6) Differentiate the trigonometric functions with applications.

(7) Use calculus to sketch the curves of certain types of elementary functions

Text Book:. CALCULUS WITH ANALYTIC GEOMETRY  by Ron Larson, Bruce Edwards, 10th edition, Cengage Learning, 2014.

Resource Materials: Any student enrolled in Math 2413 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.

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. 1. Each student should receive a copy of the syllabus for the course on the first week of class.

2. There will be four major tests.

 

3. Each major test should be announced at least one week or the equivalent in advance.

 

4. Either an open book or a take-home major test may be given at the discretion of the instructor.

 

5. Any review sheet for any major test should be comprehensive and the student should not feel that classroom notes, homework and major tests may be ignored in favor of the review sheet.

 

6. Each major test is counted for 15% of the final grade.

 

7. There will be a comprehensive final exam and questions on it can deal with any of the course objectives.

 

8. The final exam must be taken by all students

9. The final exam is counted for 40% of the final grade.

 

10.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

COURSE CALENDAR, MATH  2413 : CALCULUS I

 

SESSION DATE	TOPICS	SECTIONS
WEEK # 1
M June 08,  2015	Graphs & Models Linear Models & Rates of Change	P.1 P.2
Tu June 09	Functions and Their Graphs Fitting Models to Data	P.3 P.4
W June 10	A Preview of Calculus Finding Limits Graphically and Numerically	1.1 1.2
Th June 11	EvaluatingLimits Analytically Continuity and One-Sided Limits	1.3 1.4
WEEK # 2
M June 15	Infinite Limits Test # 1	1.5
T June 16	The Derivative & the Tangent Line Problem Basic Differentiation Rules & Rates of Change	2.1 2.2
W June 17	Product and Quotient Rules and Higher-Order Derivatives The Chain Rule	2.3 2.4
Th June 18	Implicit Differentiation Related Rates	2.5 2.6

 

 

 

COURSE CALENDAR, MATH  2413 : CALCULUS I

 

	SESSION DATE	TOPICS	SECTIONS
WEEK # 3
M June 22, 2015		Test # 2
Tu June 23		Extrema on an interval Rolle’s Theorem and the MeanValue Theorem	3.1 3.2
W June 24		Increasing and Drcreasing Functions and the   First Derivative Test Concavity and the Second Derivative Test	3.3 3.4
Th June 25		Limits at Infinity A Summary of Curve Sketching	3.5 3.6
WEEK # 4
M June 29		Optimization Problems Test # 3	3.7
Tu June 30		Newton’s Method Differentials	3.8 3.9
W July 01		Antiderivatives & Indefinite Integration Area	4.1 4.2
	Th July 02	Riemann Sums & Definite Integrals The Fundamental Theorem of Calculus	4.3 4.4

 

 

COURSE CALENDAR, MATH  2413 : CALCULUS I

 

SESSION DATE	TOPICS	SECTIONS
WEEK # 5
M July 06 2015	Integration by Substitution Test # 4	4.5
T July 07	Independence Holiday
W July 08	Review for Final Exam Instruction Ends
Th July 09	No class
Fri, July 10	Final Exam     ( 6:00 pm – 8:00 pm )

 

 

 

 

 

 

The end