CALIFORNIA STATE UNIVERSITY, SACRAMENTO Department of Economics Fall 2014 Prof. Terri Sexton sextont@csus.edu 3018 Tahoe Hall (916) 278-6484 Hours: TTh 10:00-11:00 am T 3:30-4:30 pm Economics 200M Mathematics for Economists This course equips students with the mathematical techniques necessary for the study of economics and econometrics at the graduate level. Topics covered include linear algebra, derivatives, comparative static analysis, optimization, integrals, and difference equations, with specific applications from economic and econometric theory. Prerequisites ECON 100A, ECON 100B, MATH 26A or Math 30. Required Reading Reading assignments are from the text Fundamental Methods of Mathematical Economics, 4th edition, by Alpha C. Chiang published by McGraw-Hill Irwin, 2005. Other References Mathematics for Economics, 3rd edition, by Michael Hoy, John Livernois, Chris McKenna, Ray Rees, and Thanasis Stengos, published by The MIT Press, 2011. Mathematics for Economists, by Carl P. Simon and Lawrence Blume, published by W.W. Norton & Company, 1994. Introduction to Mathematical Economics, 3rd edition, by Edward T. Dowling, Schaum’s Outline Series published by McGraw-Hill, 2001. Class Format Class meetings will consist of a mix of lectures and in-class exercises. Attendance is necessary, though not sufficient, for successful completion of this course. Please arrive to class on time with cell phones turned off. I will use SacCT to communicate with you and provide course handouts and homework assignments. 1 Course Requirements, Assignments, and Grading Your grade in this class will be based on weekly homework assignments, a midterm exam and a comprehensive final exam, according to the following weighting: Homework Midterm Exam Final Exam 25% 35% 40% Course Grade The letter grade you receive in this course will be based on the following grading scale (approximately): 90-100% A 79-89% B 68-78% C 57-67% D < 57% F Late Homework and Make-up Exam Policy Homework will be due at the beginning of class each week. Late assignments will not be accepted since solutions will be posted after class. Exams cannot be rescheduled or made up except for documented emergencies. In all such cases, I need to be notified PRIOR to the scheduled exam so that appropriate arrangements can be made. 2 TENTATIVE COURSE SCHEDULE DATE TOPIC REQUIRED READING September 2 Introduction to Economic Models, Equilibrium Analysis, and Basic Mathematical Concepts and Methods Chapts. 1,2, & 3 September 9 Introduction to Linear Algebra Chapt. 4 September 16 Linear Algebra and Applications Chapt. 5 September 23 Review of Univariate Calculus and Comparative Statics Chapt. 6 & 7 September 30 Multivariate Calculus and Comparative Statics Chapt. 8 October 7 Optimization of Functions of One Variable Chapt. 9 October 14 Special Cases: Exponential and Logarithmic Functions Chapt. 10 October 21 MIDTERM EXAM October 28 Optimization: More than One Choice Variable Chapt. 11 November 4 Constrained Optimization Chapt. 12 November 18 Further Topics in Optimization Chapt. 13 December 2 Review of Integral Calculus Chapt. 14 December 9 Applications of Integral Calculus Chapt. 17 December 16 FINAL EXAM (5:15-7:15) 3