LEE KONG CHIAN SCHOOL OF BUSINESS Year 2007/08 Term 1 MATH001 CALCULUS Instructor: WANG, Qinghai Tel: Email: Office: 6828 0597 Lee Kong Chian School of Business, Level 4, Room 4069 COURSE DESCRIPTION Many real-world managerial problems present some common nature, which cannot be solved using qualitative analysis. Mathematical modeling and solving is important for such problems. MATH001 Calculus thus introduces a set of elementary functions, their properties, various forms of analysis, and fundamental concepts in Calculus. Also introduced are the modeling methods in business and management by applying Calculus knowledge. The objective of the course is to develop the students’ understanding and skills in analyzing managerial problems, creating mathematical models, and using them to solve these problems. Although the module is essentially mathematical in nature, a rigid mathematical treatment is avoided and the necessary mathematical concepts are derived from examples rather than through proofs. PRE-REQUISITE NIL RECOMMENDED TEXT AND READINGS R. A. Barnett, M. R. Ziegler and K. E. Byleen, Calculus for Business, Economics, Life Sciences, and Social Sciences, 10th Edition, Pearson Prentice Hall, 2005 ASSESSMENT METHOD Attendance: 5% Homework Assignments: 15% Class Participation: 15% Mid-term Test: 20% One Quiz: 5% Final Examination: 40% CLASS TIMINGS TBD 1 COURSE METHODS Lectures, in-class group exercises and homework assignments CLASS SCHEDULE Week No. Topic Reading 1 Functions and graphs Chapter 1 2 Additional elementary functions Chapter 2 3 Derivatives: Limits, continuity and derivative 3.1, 3.2, 3.3 4 Derivatives: Basic rules and properties 3.4, 3.5, 3.6 5 Applications of derivatives 3.7 6 Graphing and optimisation 4.1, 4.2, 4.4, 4.5 7 Mid-term Test Happy Recess 9 Additional derivative topics Chapter 5 10 Integration 6.1, 6.2, 6.3 11 Integration 6.4, 6.5 12 Additional integration topics (Quiz) Chapter 7 13 Review 14 Final examination 2