The Mathematical Economics Major consists of a minimum of 16 courses, none of which may be taken as pass/fail. Part 1: Introductory and Intermediate-Level Courses 1.1 Mathematics – Required Courses (5 CU): (1CU) from the following: MATH 1080: Mathematics of Change, Part 2 MATH 1410 (formerly 114): Calculus, Part 2 MATH 1610 (formerly 116) (honors version of MATH 114). Prerequisite: MATH 1400 (formerly 104). ***Note: A student majoring in mathematical economics must choose one of the courses above. The economics department recommends MATH 1080, but MATH 1410 or 1610 will be accepted. AND (1 CU) from the following: MATH 2400 (formerly 240): Calculus, Part 3 MATH 2410 (formerly 241): Calculus, Part 4 MATH 2600 (formerly 260): Honors Calculus. AND (1CU) from the following: MATH 3120 (formerly 312): Linear Algebra MATH 3130 (formerly 313): Computational Linear Algebra MATH 3140 (formerly 314): Advanced Linear Algebra MATH 3700 (formerly 370): Algebra MATH 5140 (formerly 514)*: Advanced Linear Algebra AND (2 CU) Choose one of the following sequences: MATH 3600-3610 (formerly 360-361): Advanced Calculus MATH 5080-5090 (formerly 508-509)*: Advanced Analysis 1.2 Probability and Statistics – Required Courses (1 or 2 CU) STAT 4300 (formerly 430): Probability; and STAT 4310 (formerly 431): Statistics. OR ESE 3010 (formerly 301); and ESE 4020 (formerly 402). OR ECON 2300 (formerly 103) and ECON 2310 (formerly 104). OR (2 CU) ECON 2300 (formerly 103); and MATH 5460 (formerly 546)* or MATH 6490 (formerly 649/547)*. OR (1 CU) ECON 2300 (formerly 103); and ECON 4310 (formerly 221) or ECON 4320 (formerly 222) (1 CU). Prerequisites for ECON 4310 and ECON 4320: ECON 2300 and ECON 2310 (formerly 2310). 1.3 Economics – Required Courses (5 CU) (1 CU) ECON 0100 (formerly 001): Introduction to Microeconomics (1 CU) ECON 0200 (formerly 002): Introduction to Macroeconomics (1 CU) ECON 2100 (formerly 101): Microeconomic Theory. Prerequisites: ECON 0100 and 0200 (or alternatively, an A- or better in ECON 0110), MATH 1400 or 1070, MATH 1410 or 1080 (1 CU) ECON 2200 (formerly 102): Macroeconomic Theory. Prerequisites: ECON 2100, MATH 1400 or 1070, MATH 1410 or 1080 (1 CU) ECON 6100 (formerly 681)*: Microeconomic Theory. Prerequisites: ECON 2100 *Courses marked " * " are approved courses for the Mathematical Economics Honors Program; students must have the graduate section listed on their transcript if a course is multilevel. See the Honors Program page for details. Part 2: Advanced Courses 2.1 Mathematics – Elective Courses (2 CU, Select 2 courses from the following list) The following courses have been approved as elective courses in mathematics. CIS 4190 (formerly 419): Applied Machine Learning CIS 5190** (formerly 519): Applied Machine Learning CIS 5200** (formerly 520): Machine Learning CIS 5450** (formerly 545): Big Data Analytics ESE 3030 (formerly 303): Stochastic Systems Analysis and Simulation ESE 5060** (formerly 504): Introduction to Optimization Theory ESE 6050** (formerly 605): Modern Convex Optimization MATH 2410 (formerly 241): Calculus IV MATH 3200 (formerly 320): Computer Methods I MATH 3400 (formerly 340): Discrete Mathematics MATH 4200 (formerly 420): Ordinary Differential Equations MATH 4250 (formerly 425): Partial Differential Equations MATH 4320 (formerly 432): Game Theory MATH 4600 (formerly 460): Topology MATH 5300** (formerly 530): Math of Finance MATH 5460** (formerly 546): Advanced Probability NETS 4120 (formerly 412): Algorithmic Game Theory STAT 4320 (formerly 432): Mathematical Statistics STAT 4330 (formerly 433): Stochastic Processes STAT 4350 (formerly 435): Forecasting Methods Management STAT 4420 (formerly 442): Intro to Bayes Data Analysis STAT 4750 (formerly 475): Sample Survey Methods STAT 4760 (formerly 476): Applied Probability Models in Marketing STAT 5120** (formerly 512): Mathematical Statistics STAT 5150** (formerly 515): Advanced Statistical Inference I STAT 5160** (formerly 516): Advanced Statistical Inference II STAT 5200** (formerly 520): Applied Econometrics *Courses that are not listed above are not approved. Any faculty member at Penn who would like a course to be approved as a mathematics elective should contact the undergraduate coordinator of the Department of Economics. Students cannot directly petition to add courses to the list and are advised to talk to the instructor of the course. **Courses marked " ** " are approved courses for the Mathematical Economics Honors Program; students must have the graduate section listed on their transcript if a course is multilevel. See the Honors Program page for details. 2.2 Economics – Elective Courses (3 CU, choose 3 courses from the list): The courses are grouped into the following categories: Econometrics, Macroeconomics, and Microeconomics/Game Theory. It is not required that a student chooses all three electives from the same category. The categories are merely indicative of particular specializations that could be pursued. All 4000-level (formerly 200-level) economics courses require ECON 2100, MATH 1400 or 1070, and MATH 1410 or 1080 as prerequisites. Some courses also require ECON 2200, ECON 2300, or ECON 2310 as prerequisites. Please see Undergraduate Course Descriptions for details. See Graduate Course Descriptions for details on graduate economics courses. Econometrics ECON 2310 (formerly 104): Introduction to Econometrics ECON 4310 (formerly 221): Macro-Econometric Techniques and Applications ECON 4320 (formerly 222): Microeconometrics ECON 4330 (formerly 224): Statistical Learning and Causal Inference for Economics ECON 4340 (formerly 225): Empirical Economics of Climate Change ECON 7300 (formerly 705)*: Graduate-level Econometrics 1: Fundamentals Macroeconomics ECON 4200 (formerly 241): Economic Growth ECON 4210 (formerly 242): Numerical Methods for Economics ECON 4220 (formerly 243): Monetary and Fiscal Policies ECON 4230 (formerly 244): Macro-Modeling ECON 4240 (formerly 246): Money and Banking ECON 4520 (formerly 252): International Finance ECON 4530 (formerly 261): Topics in Development Microeconomics/Game Theory ECON 4100 (formerly 212): Game Theory ECON 4101 (formerly 212 honors): Game Theory ECON 4110 (formerly 210): Economics of Family ECON 4120 (formerly 211): Social Choice Theory ECON 4130 (formerly 262): Market Design ECON 4140 (formerly 260): Decision Making ECON 4150 (formerly 245): Mathematical Economics ECON 4405 (formerly 230): Economic Program Evaluation ECON 4410 (formerly 231): Public Finance ECON 4420 (formerly 232): Political Economy ECON 4430 (formerly 233): Labor Economics ECON 4440 (formerly 234): Law and Economics ECON 4450 (formerly 235): Industrial Organization ECON 4460 (formerly 236): Health Economics ECON 4470 (formerly 237): Urban Fiscal Policy ECON 4480 (formerly 238): Economcis of Education ECON 4490 (formerly 239): The Digital Economy ECON 4510 (formerly 251): International Trade ECON 6110 (formerly 682)*: Game Theory and Applications Independent Studies ECON 4999: At most one independent study (ECON 4999) can substitute for a 4000-level course in the major. Students wishing to enroll in an Independent Study must have their outline approved and be enrolled prior to the end of Add Period. No Independent Study will be accepted afterwards. * All graduate-level classes above marked with an asterisk require the permission of the instructor. Please contact the instructor and be prepared to share information about the ECON and MATH courses you have taken and the grades that you have obtained in these courses. Based on this information, the instructor will determine whether the course is suitable for you. If approval is granted, these courses will count for honors. Additional Policies Waivers and transfer credits for mathematics courses will be handled by the Mathematics Department. Wharton students taking BEPP 1000 instead of ECON 0100 and ECON 0200 will have to take an additional advanced (4000-level or above) economics course to complete the major. Wharton students may replace the required ECON 2100 course by BEPP 2500 (formerly 250) HONORS. The regular BEPP 2500 course does not count as a substitute for ECON 2100. Students must have a GPA of 2.0 in the Mathematical Economics Major in order to graduate with a major in Mathematical Economics. Students who have declared a Mathematical Economics Major cannot simultaneously receive an Economics Minor/Major or a Mathematics Minor/Major. Students are required to take 9 of the 16 courses at the University of Pennsylvania. With the exception of ECON 0100 and 0200, permission from the Undergraduate Chair is required to count LPS courses toward the Mathematical Economics Major. Students who have received ECON 0100 credit and an ECON 0200 waiver for a single semester introductory micro/macro course need to take an additional 4xxx (or higher) level ECON course to complete the major. Starting with students entering Penn in the Fall of 2017, we will no longer convert advanced placement waivers (AP, IB, and A-Level) for ECON 0100 or ECON 0200 into course credits upon completion of the ECON minor, the EPOL minor, the ECON major, or the MATH-ECON major. However, the waiver can be used to satisfy prerequisites for higher-level economics courses. A student with an advanced placement waiver (AP, IB, and A-Level) in either ECON 0100 or ECON 0200 has three options: (i) Take ECON 0100 or ECON 0200 at Penn and count it toward the major. (ii) If you have taken a 0xxx-level ECON course prior to declaring the ECON/MAEC major, it may be used to replace ECON 0100 or ECON 0200 and counted toward the major. (iii) If you have not taken a 0xxx-level ECON course prior to declaring the ECON/MAEC major, then you will need to replace ECON 0100 or ECON 0200 by a 4xxx-level (or higher) ECON course, which will be counted toward the major. Students who have waivers for both ECON 0100 and ECON 0200 need to take two additional ECON courses and can at most replace one of the two introductory courses by a 0xxx-level ECON course, provided they have taken this course before declaring the major. The department encourages students with a strong economics and quantitative background to pursue option (iii).