Houston Community College-NW
Course Syllabus
Calculus-Math 2413 Fall Semester 2011
Instructor: Ernest Lowery
Office Phone Number: 713-718-5512
Office Hours: MW 2:00-3:00 P.M.
Email: ernest.lowery@hccs.edu
Course Time and Location: CRN: 54074 MW 11:00-1:00 P.M. Katy Campus.
Catalog Description: Calculus I. An integrated study of differential calculus with analytic geometry
including the study of functions, limits, continuity, differentiation, and an introduction to integration.
Prerequisite: MATH 2412 or consent of the Department Head. 4 credit (4 lecture).
Prerequisites: Math 2412: Pass with a “C” or better, or consent of the Department Head.
Course Intent: This course provides the background in mathematics for sciences or further study in
mathematics and its applications.
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:
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Describe the basic concepts of mathematical functions and the various types of functions, which exist.
Demonstrate knowledge of the concept of the limit of a function at a point and the properties such
limits possess.
Demonstrate knowledge of the idea of continuity of a function
Differentiate various types of mathematical functions and know the meaning of the various orders of
the derivatives including applications.
Recognize the discontinuity points of certain types of elementary functions.
Differentiate the trigonometric functions with applications.
Use calculus to sketch the curves of certain types of elementary functions
Demonstrate the ability to find antiderivatives involving polynomial and trigonometric functions.
Demonstrate the ability to evaluate a definite integral using Riemann sums.
Demonstrate the ability to compute the average value of a function over an interval.
Demonstrate an understanding of the Fundamental Theorem of Calculus.
Solve applied problems using definite integrals.
Find indefinite integrals with a change of variable.
Find the area of regions under curves using methods which include the Trapezoidal Rule and
Simpson’s Rule.
Textbook: Calculus, by Larson, Hostetler, and Edwards, Ninth Edition. Brooks/Cole, Cengage Learning,
2010.
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.
Math 2413
APPROXIMATE TIME
TEXT REFERENCE
Prerequisites - Precalculus Review and Functions
(Optional - no more than 4 hours)
Sections: P.1, P.2, P.3
These sections 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
(10 Hours)
Sections: 1.1, 1.2, 1.3,
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
(12 Hours)
Sections: 2.1, 2.2, 2.3,
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, higherorder 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 extrema on
an interval, Rolle’s Theorem and the Mean Value Theorem, increasing and decreasing functions, 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
(16 Hours)
Sections: 4.1, 4.2, 4.3,
4.4, 4.5, 4.6
This unit includes the basic concepts of integration. The instructor should emphasize antiderivatives 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.
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Math 2413
Departmental Policies:
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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.
Each student should receive a copy of the instructor’s student syllabus for the course during the first
week of class.
A minimum of three tests and a comprehensive final examination must be given. The final examination
must be taken by all students.
All major tests should be announced at least one week or the equivalent in advance.
The final exam must count for at least 25 to 40 percent of the final grade.
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”).
Either an open book or a take home major test may be given at the discretion of the instructor.
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.
Student 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. Online tutoring is available at http://www.hccs.askonline.net. Also available is
a Student’s Solutions Manual which may be obtained from the Bookstore.
Faculty Resource Materials: In addition to the usual Instructor Solution Manual and the printed test bank,
WebAssign, a homework/test manager, is also available.
Suggested Methods: Beginning each class with questions concerning the material discussed and the
assigned homework problems is helpful. 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 unit. Also, they should be encouraged to visit the Academic Support Center at
their respective colleges.
Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a documented
disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable
accommodations must contact the Disability Services Office at the respective college at the beginning of
each semester.
Examinations: There will be three tests and a final exam.
Evaluation of Students: The Final Course Average will be calculated as follows:
F.C.A. = .60 (E1+E2+E3) +.40(F)
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Generally, without a curve the final course grade is determined by the following scale:
Final Course Average
90-100
80-89
70-79
60-69
0- 59
A
B
C
D
F
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Math 2413
Policy on make-up Exam:
There will be no make-up examinations.
Policy on Cheating: Cheating on examination or homework can result in total dismissal from the college.
One warning will be given to any student suspected of cheating. A second violation will result in the
student being withdrawn from the course with a grade of F and possible total dismissal from the college.
Note: Any talking during examination will be considered cheating.
Policy on Attendance: Starting with the first class meeting of the third week of classes, a student will be
administratively withdrawn upon reaching five absences. If you miss five classes and I’ve heard nothing
from you, I will drop you immediately.
ADA STATEMENT: HCCS and I are committed to compliance with the Americans with Disabilities Act.
If you have a documented disability (e.g., physical, learning, psychiatric, vision, hearing, etc.), or if you
need assistance in documenting your disability, please visit the Northwest Disability Support Services
Office, to arrange reasonable accommodations at the beginning of each semester. Faculty are authorized to
provide only the accommodations requested by the Disability Support Services
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