Bachelor of Arts in Economics and Mathematics

Students on Summer 2023, Fall 2023, or Spring 2024 requirements ECONMATHBA

View Degree MapA semester-by-semester path to completing degree and major requirements

Requirements

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

Economics courses.
1. Fundamentals of Economics I. One (1) course:
  - ECON-B 251 Fundamentals of Economics for Business I
  - ECON-E 251
  - ECON-S 251 Fundamentals of Economics for Business I: Honors
  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 2025CASE SHcourse
  
  Fall 2024CASE SHcourse
  ECON-S 251 Fundamentals of Economics for Business I: Honors
  
  Credits
  3
  Prerequisites
  Must be a Hutton Honors student
  Description
  First in a two-course sequence that introduces honors business students to essential economic concepts. Examines economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, effects of taxation, externalities, moral hazard and adverse selection, and basic game theory.
  Repeatability
  Credit given for only one of ECON-S 251, ECON-B 251, or ECON-E 251.
2. Fundamentals of Economics II. One (1) course:
  - ECON-B 252 Fundamentals of Economics for Business II
  - ECON-E 252 Fundamentals of Economics II
  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 2025CASE SHcourse
  
  Fall 2024CASE 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 2025CASE SHcourse
  
  Fall 2024CASE SHcourse
3. Intermediate Microeconomic Theory. One (1) course:
  - ECON-E 321 Intermediate Microeconomic Theory
  - ECON-S 321 Intermediate Microeconomic Theory: Honors
  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
  Develops economic models of both consumer and firm behavior, including non-strategic and strategic interactions. Models of market structure and behavior focus on price and output determination and include circumstances in which markets may succeed or fail to deliver socially beneficial outcomes.
  Repeatability
  Credit given for only one of ECON-E 321 or ECON-S 321.
  Spring 2025CASE SHcourse
  
  Fall 2024CASE 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 2025CASE SHcourse
  
  Fall 2024CASE SHcourse
4. Intermediate Macroeconomic Theory. One (1) course:
  - ECON-E 322 Intermediate Macroeconomic Theory
  - ECON-S 322 Intermediate Macroeconomic Theory: Honors
  ECON-E 322 Intermediate Macroeconomic Theory
  Credits
  3
  Prerequisites
  ECON-E 252 or ECON-B 252; 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 2025CASE SHcourse
  
  Fall 2024CASE SHcourse
  ECON-S 322 Intermediate Macroeconomic Theory: Honors
  Credits
  3
  Prerequisites
  ECON-E 252 or ECON-B 252 and ECON-E 321 or ECON-S 321; Hutton 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 2025CASE SHcourse
  
  Fall 2024CASE SHcourse
5. Electives.
  1. Advanced Electives. Two (2) courses:
    - ECON-E 327 Game Theory
    - ECON-E 331 International Trade
    - ECON-E 332 International Monetary Economics
    - ECON-E 337 Economic Development
    - ECON-E 341 Economics of Labor Market
    - ECON-E 344 Health Economics
    - ECON-E 351 Law and Economics
    - ECON-E 361 Public Finance: Government Spending
    - ECON-E 362 Public Finance: Taxation
    - ECON-E 364 Environment and Resource Economics
    - ECON-E 371 Introduction to Applied Econometrics
    - ECON-E 385 Economics of Industry
    - ECON-E 386 Soviet-Type Economies in Transition
    - ECON-E 390 Undergraduate Seminar in Economics
    - ECON-E 392 Seminar in Computational Methods and Econometrics
    - ECON-E 401 Machine Learning for Economic Data
    - ECON-E 402 Computational Methods In Macroeconomics
    - ECON-E 425 Financial Economics
    - ECON-E 427 Seminar in Experimental Economics
    - ECON-E 471 Econometric Theory and Practice I
    - ECON-E 472 Econometric Theory and Practice II
    - ECON-E 490 Advanced Undergraduate Seminar in Economics
    - ECON-E 411
    - ECON-S 371 Introduction to Applied Econometrics: Honors
    - ECON-X 398 Independent Research in Economics
    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 2025CASE SHcourse
    
    Fall 2024CASE 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 2025CASE SHcourse
    
    Fall 2024CASE SHcourse
    ECON-E 371 Introduction to Applied Econometrics
    
    Credits
    3
    Prerequisites
    ECON-E 251 or ECON-B 251; and ECON-E 370 or ECON-S 370; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
    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 401 Machine Learning for Economic Data
    
    Credits
    3
    Prerequisites
    ECON-E 321 or ECON-S 321; and ECON-E 371 or ECON-S 371
    Description
    What is machine learning and how can we use it to help us explore economic data? This course develops exploratory data analysis skills and provides training in a variety of machine learning techniques used to analyze economic data while using the R programming language.
    
    ECON-E 402 Computational Methods In Macroeconomics
    
    Credits
    3
    Prerequisites
    ECON-E 252 or ECON-B 252; and ECON-E 321 or ECON-S 321
    Description
    Macroeconomic data are increasingly available and used by economists and data scientists to help decision-makers. This course provides opportunities to develop tools to explore macroeconomic data, build and simulate macroeconomic models, perform experiments, and solve dynamic models using numeric methods. Also provides experience in the Python programming language.
    
    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 and ECON-E 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 251 or ECON-B 251; and ECON-E 370 or ECON-S 370; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211; and Hutton Honors Student
    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
    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.
  2. 400–499 Level. One (1) additional course:
    - Any ECON-E 400–499 except ECON-E 496
Mathematics courses.
1. Calculus I. One (1) course:
  - MATH-M 211 Calculus I
  - MATH-S 211
  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 2025CASE MMcourse
  
  Fall 2024CASE MMcourse
  
  Spring 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
2. Calculus II. One (1) course:
  - MATH-M 212 Calculus II
  - MATH-S 212 Honors Calculus II
  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 2025CASE NMcourse
  
  Fall 2024CASE 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 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
3. Linear Algebra. One (1) course:
  - MATH-M 301 Linear Algebra and Applications
  - MATH-M 303 Linear Algebra for Undergraduates
  - MATH-S 303 Honors Course in Linear Algebra
  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 2025CASE NMcourse
  
  Fall 2024CASE 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 2025CASE NMcourse
  
  Fall 2024CASE 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 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
4. Calculus III. One (1) course:
  - MATH-M 311 Calculus III
  - MATH-S 311 Honors Course in Calculus III
  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 2025CASE NMcourse
  
  Fall 2024CASE 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 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
5. Mathematics Area. One (1) course:
  - Analysis
    - MATH-M 312 Calculus IV
    - MATH-M 413 Introduction to Analysis I
    - MATH-M 414 Introduction to Analysis II
    - MATH-M 415 Elementary Complex Variables with Applications
    - MATH-M 420 Metric Space Topology
    - MATH-M 420 Metric Space Topology
    - MATH-S 312 Honors Course in Calculus IV
    - MATH-S 413 Honors Course in Analysis I
    - MATH-S 414 Honors Course in Analysis II
    - MATH-S 415 Honors Elementary Complex Variables
    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-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.
    
    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.
    
    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.
  - Applied Mathematics
    - MATH-M 371 Elementary Computational Methods
    - MATH-M 447 Mathematical Models and Applications I
    - MATH-M 451
    - MATH-M 471 Numerical Analysis I
    - MATH-M 472 Numerical Analysis II
    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 2025CASE NMcourse
    
    Fall 2024CASE 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 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.
  - Differential Equations
    - MATH-M 343
    - MATH-M 344
    - MATH-M 441 Introduction to Partial Differential Equations with Applications I
    - MATH-M 442 Introduction to Partial Differential Equations with Applications II
    - MATH-S 343 Honors Course in Differential Equations
    - MATH-S 344 Honors Course in Differential Equations II
    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 2025CASE NMcourse
    
    Fall 2024CASE 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 2025CASE NMcourse
    
    Fall 2024CASE NMcourse
  - Probability and Statistics
    - MATH-M 463 Introduction to Probability Theory I
    - MATH-M 464 Introduction to Probability Theory II
    - MATH-S 463 Honors Course in Probability Theory I
    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.
6. Mathematics Area 400–499 Level Requirement. One (1) additional course:
  - Analysis 400-499
    - MATH-M 413 Introduction to Analysis I
    - MATH-M 414 Introduction to Analysis II
    - MATH-S 413 Honors Course in Analysis I
    - MATH-S 414 Honors Course in Analysis II
    - MATH-S 415 Honors Elementary Complex Variables
    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
    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.
  - Applied Mathematics 400-499
    - MATH-M 447 Mathematical Models and Applications I
    - MATH-M 451
    - MATH-M 471 Numerical Analysis I
    - MATH-M 472 Numerical Analysis II
    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 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.
  - Differential Equations 400-499
    - MATH-M 441 Introduction to Partial Differential Equations with Applications I
    - MATH-M 442 Introduction to Partial Differential Equations with Applications II
    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.
  - Probability and Statistics 400-499
    - MATH-M 463 Introduction to Probability Theory I
    - MATH-M 464 Introduction to Probability Theory II
    - MATH-S 463 Honors Course in Probability Theory I
    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.
  - Other
    - MATH-S 499 Reading for Honors (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.
Statistics. One (1) course:
- ECON-E 370 Statistical Analysis for Business and Economics
- ECON-S 370 Statistical Analysis for Business and Economics: Honors
- MATH-M 365 Introduction to Probability and Statistics
ECON-E 370 Statistical Analysis for Business and Economics
Credits
3
Prerequisites
MATH-M 118, MATH-S 118, or MATH-V 118
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, SPEA-K 300, SPH-Q 381, STAT-K 310, STAT-S 300, STAT-S 301, or STAT-S 303.
- Spring 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
ECON-S 370 Statistical Analysis for Business and Economics: Honors
Credits
3
Prerequisites
MATH-M 118, MATH-S 118, or MATH-V 118; and Hutton Honors student
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 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, SPEA-K 300, SPH-Q 381, STAT-K 310, STAT-S 300, STAT-S 301, or STAT-S 303.
- Spring 2025CASE NMcourse
  
  Fall 2024CASE 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 2025CASE NMcourse
  
  Fall 2024CASE NMcourse
Major GPA, Hours, and Minimum Grade Requirements.
1. 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.
2. Major 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.
3. Major Upper Division Credit Hours. At least 18 credit hours in the major must be completed at the 300–499 level.
4. 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.
5. College Breadth. At least 38 credit hours must be completed in courses from College of Arts and Sciences disciplines outside of the major area.

Major Area Courses

Unless otherwise noted below, the following courses are considered in the academic program and will count toward academic program 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 academic program 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

Exclusions

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

ECON-E 115 Everyday Economics
ECON-X 373 Internship in Economics
Any MATH-A 100–199
Any MATH-B 100–199
Any MATH-D 100–199
Any MATH-E 100–499
Any MATH-J 100–199
Any MATH-K 100–499
Any MATH-M 100–199 except MATH-M 119; MATH-M 120
MATH-M 333
Any MATH-S 100–199
Any MATH-T 100–199
Any MATH-V 100–199
Any MATH-X 100–199

Restrictions

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
May be repeated once with approval of Department of Mathematics for a maximum of 6 credit hours:
- MATH-X 373 Internship in Professional Practice
May be repeated for a maximum of 12 credit hours:
- 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
- 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-E 471 Econometric Theory and Practice I
- ECON-E 472 Econometric Theory and Practice II
- ECON-S 371 Introduction to Applied Econometrics: Honors

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 Economics and Quantitative Methods (ECONQMBS)
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 Mathematics (MATHMIN)
[Name unavailable] (INTECONMIN)

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.

Bachelor of Arts in Economics and Mathematics

Requirements

Major hours and GPA

Major Area Courses

Exclusions

Restrictions

Restrictions on combining this major with other academic programs

Major requirement exceptions and substitutions