**Summer 2020, Fall 2020, or Spring 2021**requirements.

### Description

The interdepartmental major in economics and mathematics is designed to enable students to model economic questions mathematically and to analyze and solve those models.

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Students on **Summer 2020, Fall 2020, or Spring 2021** requirements.

The interdepartmental major in economics and mathematics is designed to enable students to model economic questions mathematically and to analyze and solve those models.

The major requires at least 40 credit hours, including the requirements listed below.

**Economics courses.****Fundamentals of Economics I.**One (1) course:# ECON-B 251 Fundamentals of Economics for Business I

- Credits
- 3
- Prerequisites
- None
- Description
- First course in a two-course sequence that introduces business students to essential economic concepts. Examines the economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, the effects of taxation, externalities, moral hazard and adverse selection, and basic game theory.
- Repeatability
- Credit given for only one of ECON-B 251 or ECON-E 251.

- Spring 2021CASE SHcourse

# ECON-E 251 Fundamentals of Economics I

- Credits
- 3
- Prerequisites
- None
- Description
- First course in a two-course sequence that lays the foundations for a solid understanding of economics. Examines the economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, the effects of taxation, externalities, moral hazard and adverse selection, and public policy applications.
- Repeatability
- Credit given for only one of ECON-E 251 or ECON-B 251.

- Spring 2021CASE SHcourse

**Fundamentals of Economics II.**One (1) course:# ECON-B 252 Fundamentals of Economics for Business II

- Credits
- 3
- Prerequisites
- ECON-B 251
- Description
- Continuation of Fundamental of Economics for Business I. After a review of the major types of markets, explores macroeconomic concepts, beginning with measurement and the National Income Accounts, and then moving to cycle fluctuations and performance of stock markets. Concludes with microeconomic and macroeconomic perspectives in two areas: labor markets and globalization will applications in business contexts.
- Repeatability
- Credit given for only one of ECON-B 252 or ECON-E 252.

- Spring 2021CASE SHcourse

# ECON-E 252 Fundamentals of Economics II

- Credits
- 3
- Prerequisites
- ECON-E 251 or ECON-B 251
- Description
- Continuation of Fundamental of Economics I. After a review of the major types of markets, explores macroeconomic concepts, beginning with measurement and the National Income Accounts, and then moving to cycle fluctuations and performance of stock markets. Concludes with microeconomic and macroeconomic perspectives in two areas: labor markets and globalization.
- Repeatability
- Credit given for only one of ECON-E 252 or ECON-B 252.

- Spring 2021CASE SHcourse

**Intermediate Microeconomic Theory.**One (1) course:# ECON-E 321 Intermediate Microeconomic Theory

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
- Description
- The economics of consumer choice. The economics of production, cost minimization, and profit maximization for business firms in the short run and long run under various market structures. Competition and adjustment to market equilibrium. Introduction to game theory, strategic interaction, and noncooperative equilibria.
- Repeatability
- Credit given for only one of ECON-E 321 or ECON-S 321.

- Spring 2021CASE SHcourse

# ECON-S 321 Intermediate Microeconomic Theory: Honors

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 321.
- Repeatability
- Credit given for only one of ECON-E 321 or ECON-S 321.

- Spring 2021CASE SHcourse

**Intermediate Macroeconomic Theory.**One (1) course:# ECON-E 322 Intermediate Macroeconomic Theory

- Credits
- 3
- Prerequisites
- ECON-E 202 or ECON-S 202; and ECON-E 321 or ECON-S 321
- Description
- National income accounting; theory of income, employment, and price level. Countercyclical and other public policy measures.

- Spring 2021CASE SHcourse

# ECON-S 322 Intermediate Macroeconomic Theory: Honors

- Credits
- 3
- Prerequisites
- ECON-E 202 or ECON-S 202 and ECON-E 321 or ECON-S 321; Honors student
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 322 and substitutes for ECON-E 322 as a prerequisite for other courses.
- Repeatability
- Credit given for only one of ECON-S 322 or ECON-E 322.

- Spring 2021CASE SHcourse

**Electives.****Advanced Electives.**Two (2) courses:# ECON-E 327 Game Theory

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Mathematical analysis of strategic interaction. Noncooperative games played once or repeatedly, with perfect or imperfect information. Necessary condition for a solution (equilibrium) as well as sufficient conditions (refinements). Cooperative games, such as bargaining and market games. Numerous applications, including experimental games.

- Spring 2021CASE SHcourse

# ECON-E 331 International Trade

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 303, ECON-E 331, and ECON-E 332 may be counted toward a major in economics
- Description
- Theories of trade pattern, positive and normative aspects of trade and trade-related policies in competitive and non-competitive markets; effects of trade liberalization and economic integration; trade policies by developed and developing nations; international factor movements.

# ECON-E 332 International Monetary Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 303, ECON-E 331, and ECON-E 332 may be counted toward a major in economics
- Description
- Theory of exchange rate and balance of payments adjustment, macroeconomic policy in open economies, history and comparison of international monetary systems, and proposals for reform.
- Repeatability
- Credit given for only one of ECON-E 332 and ECON-E 433.

# ECON-E 337 Economic Development

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Characteristics of economically underdeveloped countries. Obstacles to sustained growth; planning and other policies for stimulating growth; examination of development problems and experience in particular countries.

# ECON-E 341 Economics of Labor Market

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- R: ECON-E 370 or ECON-S 370
- Description
- Analysis of the functioning of labor markets with theoretical, empirical, and policy applications in determination of employment and wages in the U.S. economy.

# ECON-E 344 Health Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- R: ECON-E 370 or ECON-S 370
- Description
- Systematic introduction to health economics and economics of health care, emphasis on basic economic concepts such as supply and demand, production of health, information economics, choice under uncertainty, health insurance markets, Medicare and Medicaid, managed care, government intervention and regulation. Survey course with some topics in some depth.

# ECON-E 351 Law and Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Devoted to economic analysis of law, focusing on the economic efficiency of common law. Main components of the course are property law, contracts, and torts; some aspects of criminal law are also covered. Discussion is based mostly on examples, both invented and taken from actual cases.

# ECON-E 361 Public Finance: Government Spending

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 308, ECON-E 361, and ECON-E 362 may be counted toward a major in economics
- Description
- Theory of public goods and externalities. Cost-benefit analysis. Public choice theory. Analysis of specific expenditure, transfer, and regulatory programs.

# ECON-E 362 Public Finance: Taxation

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 308, ECON-E 361, and ECON-E 362 may be counted toward a major in economics
- Description
- U.S. tax structure, income redistribution effects, and efficiency in resource allocation. Use of welfare theory and microeconomic models to evaluate particular issues.

# ECON-E 364 Environment and Resource Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Basic theory of common property resources applied to environment and resource conservation problems. Topics include economic efficiency, equity, measurement problems, and policy formulation.

- Spring 2021CASE SHcourse

# ECON-E 371 Introduction to Applied Econometrics

- Credits
- 3
- Prerequisites
- ECON-E 370 or ECON-S 370; MATH-M 119 or equivalent, or higher level calculus course
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- An introduction to the theory and application of least-squares regression in empirical economics. Review of bivariate and multivariate regression models, hypothesis testing, and confidence intervals. Special topics include model specification, multicollinearity, heteroscedasticity, dummy variables, interactions, and various sources of estimation bias. Students will learn to work with both cross-sectional and time-series datasets, and analyze the data using an econometrics software package.
- Repeatability
- Credit given for only one of ECON-E 371 or ECON-S 371.

# ECON-E 385 Economics of Industry

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Empirical analysis of market structure and behavior. Location, technology, economies of scale, vertical integration, conglomerates, barriers to entry, and competitive practices. Economic assessment of product performance and environmental impact.

# ECON-E 386 Soviet-Type Economies in Transition

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Economic institutions, resource allocation mechanisms, incentives and decision-making in a Soviet-type economy; economics of transition to a market-oriented system. Particular attention is paid to price liberalization, development of the financial system, privatization of state-owned assets, opening to the world economy, and the role of private sector.
- Repeatability
- Credit given for only one of ECON-E 386 or ECON-E 497.

# ECON-E 390 Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with a different topic for a maximum of 9 credit hours.

# ECON-E 392 Seminar in Computational Methods and Econometrics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; Additional prerequisites may be required depending on the seminar topic
- Description
- Intensive study of a topic area in computational methods or econometrics. Topics will vary.
- Repeatability
- May be repeated with a different topic for a maximum of 9 credit hours.

# ECON-E 425 Financial Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370
- Description
- Theory and empirical evidence relevant to understanding the functioning of modern financial-asset markets. Course topics may vary substantially by instructor. Some examples include: present value, analysis of risk and return, asset pricing, modern portfolio theory, equilibrium in asset markets, arbitrage pricing theory, the capital asset pricing model, the efficient markets hypothesis, price bubbles and crashes, futures markets, derivative securities and option pricing models.

# ECON-E 427 Seminar in Experimental Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370; or consent of instructor
- Notes
- R: ECON-E 327
- Description
- Focuses on the use of laboratory experimental methods in applied microeconomics. Specific application areas will include the analysis of resource allocation mechanisms for both private and public goods and individual choice under uncertainty using both human and nonhuman subjects.

# ECON-E 471 Econometric Theory and Practice I

- Credits
- 3
- Prerequisites
- ECON-E 370, ECON-S 370, or MATH-M 365; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Emphasis is on the classical linear regression model and its applications. Special topics include finite and asymptotic properties of least squares, hypothesis testing, model specification, dummy variables, proxies, multicollinearity and heteroscedasticity.

# ECON-E 472 Econometric Theory and Practice II

- Credits
- 3
- Prerequisites
- ECON-E 471
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Emphasizes extensions of the classical linear-regression model such as: limited dependent variables, instrumental variables, stationary and nonstationary data, fixed-effect and random-effect models, multiple-equation models, censored regression, and sample selection.

# ECON-E 490 Advanced Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Advanced intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with different topics for a maximum of 9 credit hours.

# ECON-S 371 Introduction to Applied Econometrics: Honors

- Credits
- 3
- Prerequisites
- ECON-E 370 or ECON-S 370; MATH-M 119 or equivalent, or higher level calculus course; Honors student
- Notes
- Only 9 credit hours from ECON-S 371, ECON-E 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 371 and substitutes for ECON-E 371 as a prerequisite for other courses.
- Repeatability
- Credit given for only one of ECON-S 371 or ECON-E 371.

# ECON-X 398 Independent Research in Economics

- Credits
- 1–3 credit hours
- Prerequisites
- ECON-E 322 or ECON-S 322; and ECON-E 370 or ECON-S 370; Economics majors or interdepartmental major (ECON/POLS or ECON/MATH); minimum 3.000 economics GPA.
- Notes
- Additional prerequisites may be required by the faculty mentor. A maximum of 3 credit hours in ECON-X 398 and ECON-E 391 may count toward the major in economics
- Description
- Independent readings and research by special arrangement with an economics faculty mentor and the director of undergraduate studies. A research paper or other substantial writing assignments are usually required.
- Repeatability
- Credit given for a maximum of 6 credit hours in ECON-X 398 and ECON-E 391.

**400â€“499 Level.**One (1) additional course:# ECON-E 425 Financial Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370
- Description
- Theory and empirical evidence relevant to understanding the functioning of modern financial-asset markets. Course topics may vary substantially by instructor. Some examples include: present value, analysis of risk and return, asset pricing, modern portfolio theory, equilibrium in asset markets, arbitrage pricing theory, the capital asset pricing model, the efficient markets hypothesis, price bubbles and crashes, futures markets, derivative securities and option pricing models.

# ECON-E 427 Seminar in Experimental Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370; or consent of instructor
- Notes
- R: ECON-E 327
- Description
- Focuses on the use of laboratory experimental methods in applied microeconomics. Specific application areas will include the analysis of resource allocation mechanisms for both private and public goods and individual choice under uncertainty using both human and nonhuman subjects.

# ECON-E 471 Econometric Theory and Practice I

- Credits
- 3
- Prerequisites
- ECON-E 370, ECON-S 370, or MATH-M 365; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- Description
- Emphasis is on the classical linear regression model and its applications. Special topics include finite and asymptotic properties of least squares, hypothesis testing, model specification, dummy variables, proxies, multicollinearity and heteroscedasticity.

# ECON-E 472 Econometric Theory and Practice II

- Credits
- 3
- Prerequisites
- ECON-E 471
- Notes
- Description
- Emphasizes extensions of the classical linear-regression model such as: limited dependent variables, instrumental variables, stationary and nonstationary data, fixed-effect and random-effect models, multiple-equation models, censored regression, and sample selection.

# ECON-E 490 Advanced Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Advanced intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with different topics for a maximum of 9 credit hours.

# ECON-E 499 Honors Thesis

- Credits
- 3
- Prerequisites
- ECON-E 322 or ECON-S 322; and ECON-E 370 or ECON-S 370; Economics majors or interdepartmental major (ECON/POLS or ECON/MATH); minimum 3.300 economics GPA
- Notes
- Additional prerequisites may be required by the faculty mentor. Honors course; A maximum of 3 credit hours in ECON-E 499 may count toward the major in economics
- Description
- Honors thesis research by special arrangement with an economics faculty mentor and the director of undergraduate studies.

**Mathematics courses.****Calculus I.**One (1) course:# MATH-M 211 Calculus I

- Credits
- 4
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus, and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Limits, continuity, derivatives, definite and indefinite integrals, applications.
- Repeatability
- A student may receive credit for only one of the following: MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211.

- Spring 2021CASE MMcourse

- Spring 2021CASE NMcourse

# MATH-S 211 Honors Calculus I

- Credits
- 4
- Prerequisites
- Hutton Honors College membership or consent of department
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Designed for students of outstanding ability, who are considering further study in mathematics. Limits, continuity, derivatives, definite and indefinite integrals, applications, with emphasis placed on theory.
- Repeatability
- Credit given for only one of MATH-J 113, MATH-M 119, MATH-M 211, MATH-S 211, or MATH-V 119.

- Spring 2021CASE MMcourse

- Spring 2021CASE NMcourse

**Calculus II.**One (1) course:# MATH-M 212 Calculus II

- Credits
- 4
- Prerequisites
- MATH-M 211 or MATH-S 211; or consent of department
- Description
- Techniques of integration (by parts, trigonometric substitutions, partial fractions), improper integrals, volume, work, arc length, surface area, infinite series.
- Repeatability
- Credit given for only one of MATH-M 120 or MATH-M 212.

- Spring 2021CASE NMcourse

# MATH-S 212 Honors Calculus II

- Credits
- 4
- Prerequisites
- MATH-S 211 or consent of department
- Description
- Includes material of MATH-M 212 and supplemental topics. Designed for students of outstanding ability in mathematics.
- Repeatability
- Credit given for only one of MATH-M 120, MATH-M 212, or MATH-S 212.

- Spring 2021CASE NMcourse

**Linear Algebra.**One (1) course:# MATH-M 301 Linear Algebra and Applications

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212; or MATH-M 211 and CSCI-C 241; or MATH-S 211 and CSCI-C 241
- Description
- Solving systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. Selection of advanced topics. Applications throughout. Computer used for theory and applications.
- Repeatability
- Credit given for only one of MATH-M 301 or MATH-M 303.

- Spring 2021CASE NMcourse

# MATH-M 303 Linear Algebra for Undergraduates

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212; or MATH-M 211 and CSCI-C 241; or MATH-S 211 and CSCI-C 241
- Description
- Introduction to the theory of real vector spaces. Coordinate s, linear dependence, bases. Linear transformations and matrix calculus. Determinants and rank. Eigenvalues and eigenvectors.
- Repeatability
- Credit given for only one of MATH-M 301, MATH-M 303, or MATH-S 303.

- Spring 2021CASE NMcourse

# MATH-S 303 Honors Course in Linear Algebra

- Credits
- 3
- Prerequisites
- Consent of department
- Description
- Honors version of MATH-M 303. For students with unusual aptitude and motivation.
- Repeatability
- Not open to those who have had MATH-M 301 or MATH-M 303.

- Spring 2021CASE NMcourse

**Calculus III.**One (1) course:# MATH-M 311 Calculus III

- Credits
- 4
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Elementary geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration.

- Spring 2021CASE NMcourse

# MATH-S 311 Honors Course in Calculus III

- Credits
- 4
- Prerequisites
- MATH-S 212 or consent of instructor; and MATH M-301, MATH M-303, or MATH S-303
- Description
- Honors version of MATH-M 311, covering geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; and multiple integration. For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 311 or MATH-S 311.

- Spring 2021CASE NMcourse

**Mathematics Area.**One (1) course:- Analysis
# MATH-M 312 Calculus IV

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311
- Description
- Differential calculus of vector-valued functions, transformation of coordinates, change of variables in multiple integrals. Vector integral calculus: line integrals, Green's theorem, surface integrals, Stokes' theorem. Applications.
- Repeatability
- Credit given for only one of MATH-M 312 or MATH-S 312.

# MATH-M 413 Introduction to Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- Modern theory of real number , limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.

# MATH-M 414 Introduction to Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 413 or MATH-S 413
- Description
- Continuation of MATH-M 413. Functions of several variables, Taylor series, extreme values. Manifolds in Euclidean space, Implicit Function Theorem, Inverse Function Theorem. Divergence Theorem and other classical theorems of vector calculus. Special topics.
- Repeatability
- Credit given for only one of MATH-M 414 or MATH-S 414.

# MATH-M 415 Elementary Complex Variables with Applications

- Credits
- 3
- Prerequisites
- MATH-M 311, MATH-S 311, or consent of instructor
- Description
- Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, integrations, calculus of residues, conformal mapping. Application to physics.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

# MATH-S 312 Honors Course in Calculus IV

- Credits
- 3
- Prerequisites
- MATH-S 311 or consent of instructor
- Description
- For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 312 or MATH-S 312.

# MATH-S 413 Honors Course in Analysis I

- Credits
- 3
- Prerequisites
- MATH-S 312; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes' theorem. Closed and exact forms.

# MATH-S 414 Honors Course in Analysis II

- Credits
- 3
- Prerequisites
- MATH-S 413; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes' theorem. Closed and exact forms.
- Repeatability
- Credit given for only one of MATH-S 414 or MATH-M 414.

# MATH-S 415 Honors Elementary Complex Variables

- Credits
- 3
- Prerequisites
- MATH-S 311; or consent of instructor
- Description
- For students with unusual aptitude and motivation. Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, contour integrals, calculus of residues, conformal mapping.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

# MATH-M 420 Metric Space Topology

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303
- Description
- Topology of Euclidean and metric spaces. Limits and continuity. Topological properties of metric spaces, including separation properties, connectedness, and compactness. Complete metric spaces. Elementary general topology.

- Differential Equations
# MATH-M 343 Introduction to Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Notes
- R: MATH-M 301, MATH-M 303, or MATH-S 303
- Description
- Ordinary differential equations and methods for their solution, including series methods and the Laplace transform. Applications of differential equations. s, stability, and numerical methods. Partial differential equations of mathematical physics, Fourier series.
- Repeatability
- Credit given for only one of MATH-M 343 or MATH-S 343.

- Spring 2021CASE NMcourse

# MATH-M 344 Introduction to Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- One of MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 343 or MATH-S 343
- Description
- Ordinary differential equations and methods for their solution, including series methods and the Laplace transform.Ã‚Â Applications of differential equations.Ã‚Â Systems, stability, and numerical methods.Ã‚Â Partial differential equations of mathematical physics, Fourier series.

- Spring 2021CASE NMcourse

# MATH-M 441 Introduction to Partial Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- R: MATH-M 312 or MATH-S 312
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green's functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-M 442 Introduction to Partial Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- MATH-M 441
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green's functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-S 343 Honors Course in Differential Equations

- Credits
- 3
- Prerequisites
- MATH-S 212 or consent of instructor
- Description
- Introduction, with historical examples, first order ordinary differential equations (ODEs) and applications, second order linear ODEs, linear ODEs of higher order, series solutions to linear ODEs, and numerical methods for ODEs. In addition, some theoretical aspects will be studied in detail such as the Picard existence/uniqueness theorem for initial-value problems, convergence of series solutions, and the matrix exponential exp(tA).

- Spring 2021CASE NMcourse

# MATH-S 344 Honors Course in Differential Equations II

- Credits
- 3
- Prerequisites
- MATH-M 212 or MATH-S 212; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-S 343
- Description
- Covers the topics of MATH-M 344, in addition to more theoretical material, which may include topics such as the uniqueness theorem for the inversion of the Laplace transform, introduction to the theory of distributions, derivation of the heat and wave equations, eigenvalues of Sturm-Liouville boundary problems, and oscillation theory applied to special functions. Meets with MATH-M 344, and the additional material will be incorporated in weekly homework sets. Exams will include some of this additional material.
- Repeatability
- Credit given for only one of MATH-M 344 or MATH-S 344.

- Spring 2021CASE NMcourse

- Applied Mathematics
# MATH-M 371 Elementary Computational Methods

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Interpolation and approximation of functions, solution of equations, numerical integration and differentiation. Errors, convergence, and stability of the procedures. Students write and use programs applying numerical methods.

- Spring 2021CASE NMcourse

# MATH-M 447 Mathematical Models and Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- P or C: MATH-M 365
- Description
- Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.

# MATH-M 451 The Mathematics of Finance

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311; and MATH-M 365 or MATH-M 463 or MATH-S 463
- Description
- Course covers probability theory, Brownian motion, Ito's Lemma, stochastic differential equations, and dynamic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates.

# MATH-M 471 Numerical Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

# MATH-M 472 Numerical Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor.
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of s of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

- Probability and Statistics
# MATH-M 463 Introduction to Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- The meaning of probability. Random experiments, conditional probability, independence. Random variables, expected values and standard deviations, moment generating functions. Important discrete and continuous distributions. Poisson processes. Multivariate distributions, basic limit laws such as the central limit theorem.
- Repeatability
- Credit given for only one of MATH-M 463 or MATH-S 463.

# MATH-M 464 Introduction to Probability Theory II

- Credits
- 3
- Prerequisites
- MATH-M 463 or MATH-S 463
- Description
- Conditional distributions and expectation, linear and nonlinear regression; simple stochastic processes: Poisson process, process with independent increments, random walk, Markov chain with finite state space; information theory.

# MATH-S 463 Honors Course in Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-S 303 and MATH-S 311; or consent of instructor
- Description
- Honors version of MATH-M 463. For students of outstanding ability in mathematics.

- Analysis
**Mathematics Area 400–499 Level Requirement.**One (1) additional course:- Probability and Statistics 400–499
# MATH-M 463 Introduction to Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- The meaning of probability. Random experiments, conditional probability, independence. Random variables, expected values and standard deviations, moment generating functions. Important discrete and continuous distributions. Poisson processes. Multivariate distributions, basic limit laws such as the central limit theorem.
- Repeatability
- Credit given for only one of MATH-M 463 or MATH-S 463.

# MATH-M 464 Introduction to Probability Theory II

- Credits
- 3
- Prerequisites
- MATH-M 463 or MATH-S 463
- Description
- Conditional distributions and expectation, linear and nonlinear regression; simple stochastic processes: Poisson process, process with independent increments, random walk, Markov chain with finite state space; information theory.

# MATH-S 463 Honors Course in Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-S 303 and MATH-S 311; or consent of instructor
- Description
- Honors version of MATH-M 463. For students of outstanding ability in mathematics.

- Analysis 400–499
# MATH-M 413 Introduction to Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- Modern theory of real number , limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.

# MATH-M 414 Introduction to Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 413 or MATH-S 413
- Description
- Continuation of MATH-M 413. Functions of several variables, Taylor series, extreme values. Manifolds in Euclidean space, Implicit Function Theorem, Inverse Function Theorem. Divergence Theorem and other classical theorems of vector calculus. Special topics.
- Repeatability
- Credit given for only one of MATH-M 414 or MATH-S 414.

# MATH-S 413 Honors Course in Analysis I

- Credits
- 3
- Prerequisites
- MATH-S 312; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes' theorem. Closed and exact forms.

# MATH-S 414 Honors Course in Analysis II

- Credits
- 3
- Prerequisites
- MATH-S 413; or consent of instructor
- Description
- Repeatability
- Credit given for only one of MATH-S 414 or MATH-M 414.

# MATH-S 415 Honors Elementary Complex Variables

- Credits
- 3
- Prerequisites
- MATH-S 311; or consent of instructor
- Description
- For students with unusual aptitude and motivation. Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, contour integrals, calculus of residues, conformal mapping.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

- Differential Equations 400–499
# MATH-M 441 Introduction to Partial Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- R: MATH-M 312 or MATH-S 312
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green's functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-M 442 Introduction to Partial Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- MATH-M 441
- Description

- Applied Mathematics 400–499
# MATH-M 447 Mathematical Models and Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- P or C: MATH-M 365
- Description
- Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.

# MATH-M 451 The Mathematics of Finance

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311; and MATH-M 365 or MATH-M 463 or MATH-S 463
- Description
- Course covers probability theory, Brownian motion, Ito's Lemma, stochastic differential equations, and dynamic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates.

# MATH-M 471 Numerical Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

# MATH-M 472 Numerical Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor.
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of s of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

- Other
- (Departmental consent required)
# MATH-S 499 Reading for Honors

- Credits
- 1–12 credit hours
- Prerequisites
- Approval of departmental honors committee
- Description
- None
- Repeatability
- May be repeated for a maximum of 12 credit hours.

- (Departmental consent required)

- Probability and Statistics 400–499

**Statistics.**One (1) course:# ECON-E 370 Statistical Analysis for Business and Economics

- Credits
- 3
- Prerequisites
- Prerequisite: ECON-B 251 or ECON-E 251; and MATH-M 118, MATH-S 118, or MATH-V 118; or consent of instructor
- Notes
- R: ECON-E 252 or ECON-B 252 and MATH-M 119
- Description
- Lectures emphasize the use of basic probability concepts and statistical theory in the estimation and testing of single parameter and multivariate relationships. In computer labs, using Microsoft Excel, each student calculates descriptive statistics, probabilities, and least squares regression coefficients in situations based on current business and economic events.
- Repeatability
- Credit given for only one of ANTH-A 306, CJUS-K 300, ECON-E 370, ECON-S 370, MATH-K 300, MATH-K 310, POLS-Y 395, PSY-K 300, PSY-K 310, SOC-S 371, STAT-K 310, STAT-S 300, STAT-S 301, STAT-S 303, or SPEA-K 300.

- Spring 2021CASE NMcourse

# ECON-S 370 Statistical Analysis for Business and Economics: Honors

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251; and MATH-M 118, MATH-S 118, or MATH-V 118; and Hutton Honors student; or consent of instructor
- Notes
- R: MATH-M 119 and ECON-E 252 or ECON-B 252
- Description
- Honors course. Designed for students of superior ability. Covers same core material as ECON-E 370.
- Repeatability
- Credit given for only one of ECON-E 370 or ECON-S 370; ANTH-A 306; CJUS-K 300; MATH-K 300 or MATH-K 310; POLS-Y 395; PSY-K 300 or PSY-K 310; SOC-S 371; STAT-K 310, STAT-S 300, STAT-S 301, or STAT-S 303; or SPEA-K 300.

- Spring 2021CASE NMcourse

# MATH-M 365 Introduction to Probability and Statistics

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Elementary concepts of probability and statistics. Combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments. Statistical inference, point estimation, confidence intervals, test of hypotheses. Applications to social, behavioral, and natural sciences.
- Repeatability
- Credit given for only one of MATH-M 360 or MATH-M 365.

- Spring 2021CASE NMcourse

**GPA and Hours Requirements.****Major Residency.**At least 18 credit hours in the major must be completed in courses taken through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.**Major Upper Division Courses.**At least 18 credit hours in the major must be completed at the 300–499 level.**Minimum Grade.**Except for the GPA requirement, a grade of C- or higher is required for a course to count toward a requirement in the major.**Major GPA.**A GPA of at least 2.000 for all courses taken in the major—including those where a grade lower than C- is earned—is required.**College Breadth.**At least 38 credit hours must be completed in courses from College of Arts and Sciences disciplines outside of the major area.

Unless otherwise noted below, the following courses are considered in the major and will count toward major requirements as appropriate:

- Any course at the 100–499 level with the
`ECON or MATH`

subject area prefix—as well as any other subject areas that are deemed functionally equivalent - Any course contained on the course lists for the major requirements at the time the course is taken—as well as any other courses that are deemed functionally equivalent—except for those listed only under Addenda Requirements
- Any course directed to a non-Addenda requirement through an approved exception

The above courses cannot be applied toward the College Breadth requirement in the major.

The following courses cannot be applied toward major requirements or the College Breadth requirement:

- ECON-E 115 Everyday Economics
- ECON-E 203 Introduction to International Economics
- ECON-X 373 Internship in Economics
- Any
`MATH-E`

course - MATH-M 333
- Any
`MATH-S 100-199`

course - Any
`MATH-T 100-199`

course

The following restrictions apply to the minimum credit hours required in the major:

- May be repeated for a maximum of 6 credit hours:
- MATH-X 170 Service Learning in Mathematics: Community Outreach
- MATH-Y 201

- May be repeated once with approval of Department of Mathematics for a maximum of 6 credit hours:
- MATH-X 373 Internship in Professional Practice
- MATH-Y 398

- May be repeated for a maximum of 12 credit hours:
- MATH-M 295
- MATH-X 390 Readings and Research

- Only 6 credit hours may be counted toward a major in economics:
- ECON-E 303 Survey of International Economics
- ECON-E 331 International Trade
- ECON-E 332 International Monetary Economics

- Only 6 credit hours may be counted toward a major in economics:
- ECON-E 308 Survey of Public Finance
- ECON-E 361 Public Finance: Government Spending
- ECON-E 362 Public Finance: Taxation

- Only 9 credit hours may be counted toward a major in economics:
- ECON-E 371 Introduction to Applied Econometrics
- ECON-S 371 Introduction to Applied Econometrics: Honors
- ECON-E 471 Econometric Theory and Practice I
- ECON-E 472 Econometric Theory and Practice II

This program of study cannot be combined with the following:

- Bachelor of Arts in Economics (ECONBA)
- Bachelor of Arts in Economics and Political Science (ECONPOLSBA)
- Bachelor of Arts in Mathematics (MATHBA)
- Bachelor of Arts in Mathematics and Economics (MATHECONBA)
- Bachelor of Arts in Political Science and Economics (POLSECONBA)
- Bachelor of Science in Mathematics (MATHBS)
- Bachelor of Science in Mathematics Program I (MATHBS1)
- Bachelor of Science in Mathematics Program II (MATHBS2)
- Interdepartmental Minor in Economics and Political Science (ECONPOLMIN)
- Interdepartmental Minor in Political Science and Economics (POLSECNMIN)
- Minor in Economics (ECONMIN)
- Minor in International Economics (INTECONMIN)
- Minor in Mathematics (MATHMIN)

Exceptions to and substitutions for major requirements may be made with the approval of the unit's Director of Undergraduate Studies, subject to final approval by the College of Arts and Sciences.

The Bachelor of Arts degree requires at least 120 credit hours, to include the following:

**College of Arts and Sciences Credit Hours.**At least 100 credit hours must come from College of Arts and Sciences disciplines.**Upper Division Courses.**At least 42 credit hours (of the 120) must be at the 300–499 level.**College Residency.**Following completion of the 60th credit hour toward degree, at least 36 credit hours of College of Arts and Sciences coursework must be completed through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.**College GPA.**A College grade point average (GPA) of at least 2.000 is required.**CASE Requirements.**The following College of Arts and Sciences Education (CASE) requirements must be completed:- CASE Foundations
- CASE Breadth of Inquiry
- CASE Culture Studies
- CASE Critical Approaches: 1 course
- CASE Foreign Language: Proficiency in a single foreign language through the second semester of the second year of college-level coursework
- CASE Intensive Writing: 1 course
- CASE Public Oral Communication: 1 course

**Major.**Completion of the major as outlined in the Major Requirements section above.

Most students must also successfully complete the Indiana University Bloomington General Education program.

Office of Undergraduate Curriculum, Policy + Records

Undergraduate Academic Affairs

The College of **Arts + Sciences**