Revised 1-3-08

SOUTHWEST COLLEGE

Department of Mathematics

COURSE SYLLABUS

MATH 2413:  Calculus 1

Spring, 2008 / MW 11 – 12:40 PM / Stafford T4  

Textbook:

Calculus, by Larson, Hostetler, and Edwards, Eighth Edition. Houghton Mifflin Company, 2006.

Catalog Description: 

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:      A grade of "C" or better in MATH 2412 Precalculus.

Credits:  4 credit (4 lecture).

Course Intent & Audience:

This course provides the background in mathematics for sciences or further study in mathematics and its applications.  This is a freshman level mathematics course which requires Math 2412.

Testing policy:

There are four (4) major exams and final exams.

Make-up policy:

There is no make-up for missed tests.

Grading policy:

Your final course grade is based on the following standard HCCS scale. 

(Best 3 of 4 exams + Finals) / 4

Final Examination: 

The final examination consists of 33 multiple-choice problems. The problems cover all the material required in the course.

Attendance policy: 

Attendance is checked during every class.  When you have accumulated 12.5 % or 6 hours of

absences, the instructor will drop you from the class.

Tardiness policy:

If you come ten minutes into the class, you are considered absent.  However, you may stay for the rest of the class so that you won’t miss the practice problems and lecture.

Withdrawal policy:

If you wish to drop the class, then it is your responsibility to do that before the final drop date.  If your name is on the roll at the end of the term, you WILL receive a grade.  Neither you nor your instructor will be able to perform the drop after the final drop date.  Please refer to the following notice before dropping the class.

            NOTICE:  Students who take a course three or more times will face significant tuition or

fee increases at HCC and other Texas public colleges and universities. In addition, state law

allows students a maximum of 6 course withdrawals during their entire college career.  Students with more than 6 drops will be required to pay additional fees.   Prior to course withdrawal, you must confer with your professor or counselor about your study habits, homework, test-taking skills, attendance, course participation, and tutoring or other assistance that is available. 

Homework policy:

There is homework after every section.  Homework problems will prepare you for the exams.

Calculators:

A scientific, graphing calculator is required for the class.

Student conduct:

Students should not engage in disruptive activities while in the classroom.  Any conduct that is deemed detrimental to the academic atmosphere, such as cell phone use or consistently talking during instructional delivery, will not be tolerated. Any student found guilty of such conduct will be asked to leave the classroom until further notice.

Academic dishonesty:

All students are required to exercise academic honesty in completion of all tests and assignments.  Penalties for academic dishonesty (cheating on a test, collusion on an assignment, etc.) include, but are not limited to, a reduced grade, a “0” on that test or assignment, a “W” in the course, or an “F” in the course.  The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs.  Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information.

Resources and supplemental instruction:

Free online tutoring is provided.  Log on to  http://hccs.askonline.net/  Another resource is the student solutions manual that may be obtained from the bookstore.

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 Support Services Office at this college at the beginning of the semester. To make an appointment, please call 713-718-7910.  Professors are authorized to provide only the accommodations requested by the Disability Support Office.

Course Schedule:

    Sections                                                                                           Approximate Time

Chapter P   Preparation for Calculus (4 hours)

P.1             Graphs and Models

P.2             Linear Models and Rates of Change

P.3             Functions and Their Graphs

Chapter 1   Limits and their Properties (10 hours)

1.1             A Preview of Calculus

1.2             Finding Limits Graphically and Numerically

1.3             Evaluating Limits Analytically

1.4             Continuity and One-Sided Limits

1.5             Infinite :Limits                                                                     Exam 1

Chapter 2   Differentiation (12 hours)

2.1             The Derivative and the Tangent Line Problem

2.2             Basic Differentiation Rules and Rates of Change

2.3             Product and Quotient Rules and Higher-Order Derivatives

2.4             The Chain Rule

2.5             Implicit Differentiation

2.6             Related Rates                                                                     Exam 2

Chapter 3   Applications of Differentiation (18 hours)

3.1             Extrema on an Interval

3.2             Rolle’s Theorem and Mean Value Theorem

3.3             Increasing and Decreasing Functions and the First Derivative Test

3.4             Concavity and the Second Derivative Test

3.5             Limits at Infinity

3.6             A Summary of Curve Sketching

3.7             Optimization Problems

3.8             Newton’s Method

3.9             Differentials                                                                        Exam 3

Chapter 4   Integration (16 hours)

4.1             Antiderivatives and Indefinite Integration

4.2             Area

4.3             Riemann Sums and Definite Integrals

4.4             The Fundamental Theorem of Calculus

4.5             Integration by Substitution

4.6             Numerical Integration                                                          Exam 4

Test Schedule:

    Last Day to Drop:  Apr 23

Course Objectives:

 At the completion of this course, a student should be able to:

1.      Describe the basic concepts of mathematical functions and their various types.

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 their 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.

8.      Use the Fundamental Theorem of Calculus.

9.      Use substitution to do integration.

10.  Use numerical integration when basic rules of integration fail to apply.