Math 1306 Business Calculus

Math 1306 Fundamentals of Calculus with Applications [3-3-0]

Summer I 2010 (CRN: 30107)

Prerequisite: A grade of “C” or better in MATH 1301.

Catalog Description: Functions, limits, continuity, differentiation, integration and partial derivatives. Applications of all techniques to business, economics and the social sciences are stressed.

Purpose: The purpose of this course is to equip the student with various mathematical techniques and their applications in business, economics and social sciences.

Audience: This course is designed for students with majors in business, social sciences, or quantitative methods.

Textbook: College Mathematics, 11^th Edition by Barnett, Ziegler, and Byleen, Prentice Hall, 2008, Upper Saddle River, New Jersey.

The use of MyMathLab for online homework is optional and at the discretion of the instructor. Students using MyMathLab will need to purchase a Student Access Code from either the Bookstore or online at www.coursecompass.com..

Instructor: Dr. Hong Lin

Office: S-717

Office Hours: 3:00pm – 4:30pm MTWR

Campus Phone: (713) 221 2781

E-mail: linh@uhd.edu

Course Web Site: http://cms.dt.uh.edu/faculty/linh/courses/MATH1306

Resource Materials: Any student enrolled in mathematics courses at UHD has access to the Academic Support Center (925-N) where they may receive additional assistance with understanding concepts, improving his skills, and working on homework problems. The Center is staffed with mathematics faculty and student assistants, and offers tutoring, use and/or checkout of course videotapes, use of calculators, use of computers with web access for math homework and computer-aided math drill, and use/loan of mathematics book resources on a walk-in basis.

Goals/Objectives: At the completion of the course, the students should be able to:

(1) find limits of polynomial and rational expressions;

(2) check whether a given function is continuous or not;

(3) find derivatives of various elementary functions;

(4) find the maximum and/or minimum values of functions using calculus techniques;

(5) apply differentiation to problems in business, economics and social sciences;

(6) find anti-derivatives, indefinite and definite integrals and apply these concepts to problems in business and economics;

(7) use calculus to analyze functions and sketch their graphs;

(8) find the area under a curve or the areas between curves and apply this technique to selected applications.

Method of Evaluation：Departmental policy requires that:

(1) A Maximum of four and a minimum of three in-class tests and a comprehensive departmental final exam must be given. The final exam must be taken by all students and cannot be edited by the instructor.

(2) All major tests should be announced at least one week (or the equivalent) in advance.

(3) Course grades will be determined as follows:

Assignment	Weight
Midterm Exams	44 % (11 % each)
Homework	20 %
Final Exam (Comprehensive)	33 %
Participation	3%
Total	100%

(4) The final course average will be used to assign the final course grade according to the standard college formula:

90-100 -> “A”, 80-89 -> “B”, 70-79 -> “C”, 60-69 -> “D”, 0-59 -> “F”

(5) Neither an open book nor a take-home major test may be given.

(6) An equivalent version of a test may not be distributed to students before a major test. Any review sheet should be comprehensive and the student should not feel that classroom notes, homework or the text mat be ignored in favor of the review sheet.

Course Content: The following units allow for 39 hours of instruction. Topics are covered from chapters 9, 10, 11, 12, 13, and 14.

Units (with approximate time)	Text References
Unit I – Limits and Continuity (4 hours): The concept of limit is introduced, and continuity is then discussed. Several examples are needed to make these concepts clear.	Sections 10.1 and 10.2
Unit II – The Derivative and Rules of Differentiation (8 hours): The notion of derivative is introduced with emphasis on the geometric and physical meaning of derivative at a point. Rules of differential are introduced. Examples are needed to re-enforce the different rules. Applications of derivatives to business problems are emphasized.	Sections 10.3 – 10.7
Unit III – Curve Sketching and Optimization (7 hours): This unit begins by introducing the notions of increasing (decreasing) functions, concavity and points of inflection and by relating these concepts to the derivative of a function. The first derivative and the second derivative tests are to be stressed for determining the maximum value (minimum value) of a function and for business applications. The above concepts are then used in curve sketching and in optimization problems. Stress is to be given for problems in business and economics.	Sections 12.1, 12.2, and 12.4 – 12.6
Unit IV – Derivatives of Exponential and Logarithmic Functions and Implicit Differentiation (7 hours): Derivatives of exponential and logarithmic functions with base e are stressed and further applications are given. Finally, implicit differentiation is introduced.	Sections 11.2 - 11.5
Unit V – Integration (11 hours): The notion of anti-derivative is first introduced and then the evaluation of an indefinite integral by substitution is stressed. The definite integral is introduced with emphasis on its geometric meaning. The fundamental theorem of calculus is used to evaluate definite integrals. Applications to find the area between two curves and other business related problems are emphasized.	Sections 13.1, 13.2, 13.4, 13.5, 14.1 and 14.2
Unit VI – Partial Derivatives (2 hours): Partial derivatives of functions of two variables are introduced along with their geometric interpretation.	Sections 15.1 and 15.2

Course Schedule

This is the tentative course schedule. It will be updated during the proceeding of the course. You should check it regularly for the assignment due dates and exam dates. Although it will be updated in the best effort, any conflicts should be resolved according to the announcements made in the class.

Week\Day

Monday

Tuesday

Wednesday

Thursday

5/30

Memorial Day Holiday

6/1

Section 10.1, 10.2

6/2

Section 10.3

6/3