Course Syllabus Course Number: ECO 319 Course Title: Quantitative Analysis I Credits: (3:3) Prerequisites/Co-requisites: MAT 120 or 191, and ECO 201; 2.0 GPA For Whom Planned: Economics and Mathematics majors and students planning to go to graduate school in economics, business or social sciences. Instructor Information: Stephen K. Layson, PhD Office Hours: TTH 10-12, 457 Bryan Building 334-4868, (phone), sklayson@uncg.edu Catalog Description: Introduction to mathematical methods in economics. Includes applications of mathematics to consumer and production theory, equilibrium analysis, input-output models, and optimization. Student Learning Outcomes: At the end of the course you should be able to: 1. Solve supply and demand models for equilibrium price and output and illustrate the solution graphically. Solve national income models for equilibrium national income and understand the concept of the multiplier. (Quizzes 1&2 and exam one will cover this SLO.) 2. Write and solve economic models expressed in matrix notation. (Quiz 3 and exam 1 will cover this SLO.) 3. Explain what a derivative is and give its geometric representation. (Quiz 4 and exam 2 will cover this SLO.) 4. Use partial derivatives to do comparative static analyses for supply and demand models and national income models. (Quiz 5, exam 2 and the final exam will cover this SLO.) 5. Use marginal analysis, first derivatives and second derivatives to do optimization problems, such as profit maximization and cost minimizing problems. (Quizzes 6&7, exam2and the final exam will cover this SLO.) 6. Use exponential or logarithmic functions to express the concepts of growth, decay, and elasticity. (Quizzes 8&9 and the final exam 3 will cover this SLO.) 7. Form and solve multivariable optimization problems, such as profit maximization for a two-product firm. (Quiz 10 and the final exam will cover this SLO.) TEACHING METHODS AND ASSIGNMENTS FOR ACHIEVING LEARNING OUTCOMES: Students should first read the assigned chapters in the textbook before the class lectures. The lectures will reinforce and extend the textbook discussion. The students are also encouraged to do the textbook exercises at the end of each chapter to help prepare for the midterm and final exams. Additionally, there will be weekly short quizzes to provide continual feedback on how well the students are learning the material. 1) The quizzes will cumulatively count for 20% of your final grade. The two lowest quiz scores are dropped. Missed quizzes cannot be made up even in cases of illness. 2) There will be 2 hourly in- class exams each counting for 20% of your final grade. 3) The final exam given on May 4, 8-11 AM, Bryan 111, will cover textbook chapters 6-11 and will count for 40% of your final grade. EVALUATION AND GRADING The following grading scale will be used for all quizzes, the hourly exams and the final exam. A+ A AB+ B B- 98-100% 93-97% 90-92% 87-89% 83-86% 80-82% C+ C CD+ D D- 77-79% 73-76% 70-72 67-69 63-66 60-62 F 0-59% REQUIRED TEXT: Fundamental Methods of Mathematical Economics, fourth edition, by Alpha C. Chiang and Kevin Wainwright. TOPICAL OUTLINE/CALENDAR: Week 1 Introduction and Review: Chapters 1 and 2. Week 2 Static Equilibrium Analysis: Chapter 3 Week 3 Matrix Algebra: Chapter 4 Week 4 Matrix Algebra and Linear Models: Chapter 5 EXAM ONE Weeks 5 &6 Derivatives: Chapter 6 Weeks 7 & 8 Partial Derivatives and Comparative Static Analysis: Chapter 7 Week 9 Total Differentials and Total Derivatives: Chapter 8 EXAM TWO Week 10 Optimization Problems of One Variable: Chapter 9 Week 11 Exponential and Logarithmic Functions: Chapter 10 Weeks 12-14 Optimization Problems of Two or More Variables: Chapter 11 Weeks 15 Review FINAL EXAM May 4, 8-11 AM, Bryan 111 ACADEMIC HONOR CODE: Students are responsible for familiarizing themselves with the UNCG Academic Honor Code. Procedures and penalties related to these and other violations of the Academic Honor Policy are found at the following web site: http://academicintegrity.uncg.edu/ as well as the Undergraduate Bulletin 2014-2015. Any violation of the Honor Policy may result in failure of the assignment or exam and subsequently the entire course. ATTENDANCE POLICY: Students are expected to attend and be an active participant in all classes ADDITIONAL REQUIREMENTS: None.