Course Syllabus
Calculus I
MATHEMATICS DEPARTMENT
Houston Community College-Southeast
Chuen Huang, Ph.D.
Phone 713.718.7150
E-mail: chuen.huang@hccs.edu
Math 2413 Calculus I
CRN 61988
Course Syllabus and Outline
Course Description: Calculus I. An intergraded study of differential calculus with analytic geometry
including the study of functions, limits, continuity, differentiation, and an introduction to integration.
Perquisite: MATH 2412 or consent of the Department Head. 4 credit (4 lecture).
Course Intent: This course provides the background in mathematics for sciences or further study in
mathematics and its applications.
Prerequisites:
Math 2412:
Pass with a “C” or better, or consent of the Department Head.
Course Intent: An integrated studey of differential calculus with analytic geometry including the study of
functions, limits, continuity, differentiation, and an introduction to integration. Core Curriculum Course.
Audience: This course is 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 necessary prerequisites have been met.
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 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.
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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.
Textbook: Calculus With Analytic Geometry, by Larson and Edwards, Ninth Edition.
2010,2006 Brooks/Cole,Cengage Learning.
Class Attendance: Class is very important. If some unavoidable situation arises which causes you to miss
class, then please keep me advised. Otherwise, if you absences exceed four classes during this course, you
can expect to be administratively withdrawn. Attendance count will begin with the first class of the second
week of class.
Supplemental Materials: A videotape series is available in the library.
Advising Time : MW 8-9AM, 1:00- 1:30 PM, TR 8-9AM, ESID 1026
Calculators: Calculators may be used for homework. However, calculators are never to be used on
quizzes or examinations.
Academic Honesty: All Houston Community College System students are required to exercise academic
honesty in completion of all tests and assignments. Penalties for academic dishonesty ( cheating on a test,
plagiarism, collusion on an assignment, etc.) may include, but are not limited to, a reduced grade, or a "0"
on that test or assignment, a "W" in the course, or an "F" in that course
Make-up Tests: On test days the lecture will be given the first half of class and the test will be given the
last half of class. This way if a student needs extra time to finish the test, this will not conflict with the time
needed for the lecture. There will be no make-up tests under any circumstances. Missing only one test will
not penalize any student. In the event that a student should miss one test, the final exam grade will be
substituted in its place.
Examinations and Grading: Three tests will be given during the course totaling 60% of your grade. A
comprehensive final exam will be given counting 40% of your grade.
Final Exam: A comprehensive departmental exam constructed by the Houston Community College Math
Department will be given.
Examinations and Grading Scale:
100 - 90
A
89 - 80
B
79 - 70
C
69 - 60
D
below 60
F
Note: Students who complete the course by taking the final exam will not be eligible to receive a “W” for
the course.
Homework: Homework will be assigned and maintained in a notebook, which must be turned in and
graded at the end of the course. Homework exercises must be copied and work must be shown to receive
full credit.
Course Outline: Instructors may find it preferable to cover the course topics in the order listed below.
However, the instructor may choose to organize topics in any order, but all material must be covered.
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APPROXIMATE TIME
TEXT REFERENCE
Prerequisites - Precalculus Review and Functions
Sections: P.1, P.2, P.3,
(Optional - no more than 4 hours)
These chapters provide an optional precalculus review including real numbers, the Cartesian coordinate plane,
functions, graphing, modeling, and trigonometry. The instructor may choose to review any or all of this material
before beginning chapter 1. All of this material may be omitted if desired.
Unit I - Limits and Their Properties
Sections: 1.1, 1.2, 1.3,
(10 Hours)
1.4, 1.5
This unit presents the concept of limits and how it relates to Calculus. The instructor should present the formal
definitions of the limit and continuity and discuss the characteristics of a continuous function. Graphical and
analytical methods of evaluating limits, including one-sided limits and limits at infinity should be emphasized as
well.
Unit 2 - Differentiation
Sections: 2.1, 2.2, 2.3,
(12 Hours)
2.4, 2.5, 2.6
This unit presents an introduction to differentiation. The instructor should emphasize the derivative and the
tangent line problem, basic differentiation rules and rates of change, the product and quotient rules, higher-order
derivatives, and the chain rule. This unit concludes with implicit differentiation and related rates.
Unit 3 - Applications of Differentiation
(18 Hours)
Sections: 3.1, 3.2, 3.3,
3.4, 3.5, 3.6,
3.7, 3.8, 3.9
This unit includes the various applications of differentiation. The instructor should emphasize extreme on an
interval, Rolle’s Theorem and the Mean Value Theorem, increasing and decreasing functions, and the first
derivative test, concavity and the second derivative test, limits at infinity, a summary of curve sketching,
optimization problems, and Newton’s Method. This unit concludes with differentials and linear approximations.
Unit 4 - Integration
Sections: 4.1, 4.2, 4.3,
(16 Hours)
4.4, 4.5, 4.6
This unit includes the basic concepts of integration. The instructor should emphasize anti-derivatives and
indefinite integration, area, Riemann Sums and definite integrals, the fundamental theorems of calculus, and
integration by substitution. This unit concludes with numerical integration methods.
Topics
Week
Prerequisites - Precalculus Review and Functions
Unit I - Limits and Their Properties
Test 1
Unit 2 – Differentiation
Test 2
Unit 3 - Applications of Differentiation
1–4
5–7
8 – 12
Unit 4 – Integration
Test 3
13 –15
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Final Exam:
Monday, May 9, 2011, 9am.
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Departmental Policies:
1. Each instructor must cover all course topics by the end of the semester. 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 instructor’s student syllabus for the course during the first
week of class.
3. A minimum of three in class tests and a comprehensive final departmental examination must be given.
The final examination must be taken by all students.
4. All major tests should be announced at least one week or the equivalent in advance.
5. The final exam must count for at least 25 to 40 percent of the final grade.
6. The final course average will be used in the usual manner (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 test may be given at the discretion of the instructor.
8. Any review sheet should be comprehensive and the student should not feel that classroom notes,
homework, and tests may be ignored in favor of the review sheet for any examination.
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: It is helpful to begin each class with questions concerning the material discussed and
the assigned homework problems. In presenting new material, it is suggested that an explanation be
followed by students working examples in class. Students should be encouraged to work the review
exercises at the end of each chapter. Also, they should be encouraged to visit the Academic Support Center
at their respective colleges.
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.
Basic Competencies:
Reading: You are expected to read your math book before you come to class. Read the sections
which will be covered in class.
Writing: When doing your homework assignments, copy each problem out of the book and show
all of your work. If necessary, explain the steps taken to solve the problem.
Speaking: If you are having problems setting up a homework problem, be prepared to present the
problem in class so that we can discuss the solution method as a group.
Listening: You are responsible for any material presented in class during lectures.
Critical Thinking: Application problems are an integral part of mathematics . You will be
assigned numerous application problems and should expect to see similar problems on your exams.
"NOTICE: Students who repeat a course two or more times may soon face significant
tuition/fee increases at HCC and other Texas public colleges and universities. If you are
considering course withdrawal because you are not earning passing grades, confer with
your instructor/counselor as early as possible about your study habits, reading and writing
homework, test-taking skills, attendance, course participation, and opportunities for
tutoring or other assistance that might be available. No student may disrupt or otherwise
interfere with any educational activity being performed by a member of the College
System.”
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