Houston Community College-NW
Course Syllabus
Calculus-Math 2413 SPRING Semester 6162
Instructor: Ernest Lowery
Office Phone Number: 713-718-5512
Office Hours: MW 1:00-2:00 P.M.
Email: ernest.lowery@hccs.edu
Course Time and Location: CRN: 88720 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, Tenth 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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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
EXAMINATION SCHEDULE
WHEN GIVEN
Examination #1........Prerequisites and Chapter 1 ...Week #4
Examination #2........Chapter 2.....................Week #8
Examination #3........Chapter 3.....................Week #12
THE FINAL EXAMINATION IS COMPREHENSIVE.
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.
Title IX Statement:
HCC is committed to provide a learning and working environment that is free from discrimination on the basis of sex
which includes all forms of sexual misconduct. Title IX of the Education Amendments of 1972 requires that when a
complaint is filed, a prompt and thorough investigation is initiated. Complaints may be filed with the HCC Title IX
Coordinator available at 713 718-8271 or email at oie@hccs.edu.
Title IX of the Education Amendments of 1972 requires that institutions have policies and procedures that protect
students’ rights with regard to sex/gender discrimination.
Information regarding these rights are on the HCC website under Students-Anti-discrimination. Students who are
pregnant and require accommodations should contact any of the ADA Counselors for assistance.
It is important that every student understands and conforms to respectful behavior while at HCC.
Sexual misconduct is not condoned and will be addressed promptly. Know your rights and how to avoid these difficult
situations.
Log in to www.edurisksolutions.org. Sign in using your HCC student email account, then go to the button at the top
right that says Login and enter your student number.
HCC Course Withdrawal Policy
If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of
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withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why
you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to
complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law
limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career
in obtaining a certificate and/or degree.
To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which
your professor may “alert” you and HCC counselors that you might fail a class because of excessive absences and/or
poor academic performance. It is your responsibility to visit with your professor or a counselor to learn about what, if
any, HCC interventions might be available to assist you – online tutoring, child care, financial aid, job placement, etc. –
to stay in class and improve your academic performance.
If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to
withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a
“W” on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit
the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC
counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when
communicating via email and/or telephone with a professor and/or counselor. Do not submit a request to discuss
withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive
the grade that you are making in the class as your final grade.
4/5/2016
Last Day for Administrative/Student Withdrawals
Administration contact information
Chair of Math
Jaime Hernandez
- Secretary
SW Campus
713-718-2477
Stafford, Scarcella, N108
SW Campus
713-718-7770
Stafford, Scarcella, N108
Math Assoc. Chair
Roderick McBane
CE Campus
713-718-6644
San Jacinto Building, Rm 369
Math Assoc. Chair
Ernest Lowery
NW Campus
713-718-5512
Katy Campus Building, Rm 112
Math Assoc. Chair
Mahmoud Basharat
NE Campus
713-718-2438
Codwell Hall Rm 105
Developmental Math Courses
Chair of Dev. Math
Susan Fife
SE Campus
713-718-7241
Felix Morales Building, Rm 124
Carmen Vasquez
SE Campus
713-718-7056
Felix Morales Building, Rm 124
Dev. Math Assoc. Chair
Marisol Montemayor SE Campus
713-718-7153
Felix Morales Building, Rm 124
Dev. Math Assoc. Chair
Jack Hatton
713-718-2434
Northline Building, Room 321
- Secretary
NE Campus
For issues related to your class, please first contact your instructor.
If you need to contact departmental administration, then contact the appropriate Associate Chair.
If further administrative contact is necessary, then contact the appropriate Department Chair.
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