## Courses

Valparaiso University’s mathematics and statistics department offers a large variety of courses, from general education courses taken by students in many programs to applied mathematics and statistics courses useful as electives in some programs and advanced courses for mathematics and statistics majors.

For more information about course offerings, click on the tabs below to see courses of each type along with any textbook information that is available.

**MATH 110: Intermediate Algebra **(1 Cr.)

A first course to assist students in developing fundamental mathematical concepts and processes. Self-paced course focused on mastering topics in the realm of Intermediate Algebra. Offered every term. S/U grade only. Recommended for students with a placement level of 0 in the Math Placement process. This course may not be used to fulfill the General Education Requirement in the College of Arts and Sciences nor be counted toward a major or minor in mathematics. This course may not be taken by a student with credit for any other mathematics course. **MATH 110 Master Syllabus**

*Text: We use the ALEKS 360 platform with integrated text Beginning and Intermediate Algebra, 5th ed (Miller). Both an 18 week (ISBN 9781259936371) and 11 week (ISBN 9781259936364) access code are available. See the paragraph below MATH 115 for strategies.*

**MATH 111: College Algebra **(1 Cr.)

Self-paced course focused on mastering topics in the realm of College Algebra. Offered every term. S/U grade only. This course may not be used to fulfill the General Education Requirement in the College of Arts and Sciences nor be counted toward a major or minor in mathematics. Prerequisite: MATH 110, or placement higher than MATH 110 in the Math Placement process. **MATH 111 Master Syllabus**

*Text: We use the ALEKS 360 platform with integrated text College Algebra and Trigomometry (Miller). Both an 18 week (ISBN 9781259739323) and 11 week (ISBN 9781259739361) access code are available. See the paragraph below MATH 115 for strategies.*

**MATH 115: Trigonometry and Functions **(1 Cr.)

Topics will include trigonometry in the plane, trigonometric functions, simple vector geometry, functional concepts and notation, and an introduction to polar coordinates. Self-paced course. Offered every term. S/U grade only. This course may not be used to fulfill the General Education Requirement in the College of Arts and Sciences nor be counted toward a major or minor in mathematics. Prerequisite: MATH 111, or placement higher than MATH 111 in the Math Placement process. **MATH 115 Master Syllabus**

*Text: Same as MATH 111.**TEXTBOOK STRATEGIES for MATH 110 / 111 / 115: If you plan to take two courses in sequence in the same term. i.e. MATH 110 / 111 or MATH 111 / 115, then you should purchase the 18 week access code, and you’ll have access for both classes. If you are only going to take one of the classes, then the 11 week access code may suffice; if you end up needing to repeat the course, though, you may have to purchase another access.*

**MATH 120: Mathematics in Modern Society **(3 Cr.)

A one semester course intended primarily for students majoring in the humanities. The relationship between mathematics and modern society is studied. Socially relevant topics will vary by instructor, but may include voting theory, game theory, or statistics & data analysis. Emphasis placed on problem solving, reasoning, and mathematical writing. This course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. Usually offered every spring semester. Prerequisite or Corequisite: MATH 110, or placement higher than MATH 110 in the Math Placement process.

**MATH 122: Applied Calculus ** (4 Cr.)

A course for students with a good foundation in mathematics who are interested in mathematical models for management or the life or social sciences. Topics include limits, continuity, derivatives and their applications, integrals and their applications, and selected topics in multivariate calculus. The course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. ** Currently listed only for transfer credit equivalence. ** Students with credit for MATH 131 may not receive credit for this course.

**MATH 124: Finite Mathematics** (4 Cr.)

A course for students with a good foundation in mathematics who are interested in mathematical models for management or the life or social sciences. Topics include matrix algebra, linear programming, probability, counting methods, Markov chains, and game theory. The course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. Prerequisite or Corequisite: MATH 111, or placement higher than MATH 111 in the Math Placement process. **MATH 124 Master Syllabus**

*Text: A $25 book fee is charged to the student account to cover access to WebWork and a digital textbook.*

**MATH 131: Calculus I** (4 Cr.)

The first course in the calculus sequence. Topics include limits, continuity, differentiation, application of the derivative, the Intermediate Value Theorem, definite integrals, and the Fundamental Theorem of Calculus, with transcendental functions throughout. The course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. This course is not open to students with credit for MATH 122. Prerequisite or Corequisite: MATH 115, or placement higher than MATH 115 in the Math Placement process. **MATH 131 Master Syllabus**

*Text: A $25 book fee is charged to the student account to cover access to WebWork and a digital textbook.*

**MATH 132: Calculus II** (4 Cr.)

A continuation of MATH 131. Topics include techniques of integration, applications of the definite integral, improper integrals, an introduction to differential equations, convergence of sequences and series, Taylor series, parametric equations, and polar coordinates. Prerequisite: Grade of C- or higher in MATH 131. **MATH 132 Master Syllabus**

*Text: A $25 book fee is charged to the student account to cover access to WebWork and a digital textbook.*

**MATH 253: Calculus III** (4 Cr.)

A continuation of MATH 132. Topics include conic sections, vector algebra, space curves, calculus of functions of several variables, multiple integration, and calculus of vector fields. Prerequisite: Grade of C- or higher in MATH 132. **MATH 253 Master Syllabus**

**MATH 220: Discrete Mathematics ** (3 Cr.)

An introduction to mathematical reasoning, algorithm analysis, and the concepts that provide a mathematical foundation for computer science. Topics include a review of sets, logic, proof techniques including mathematical induction, counting techniques, recurrences, RSA cryptography, graph algorithms, applications, and elementary analysis of iterative and recursive algorithms. Prerequisite or Corequisite: MATH 131. **MATH 220 Master Syllabus**

*Text: Roman: An Introduction to Discrete Mathematics, 2nd Edition (ISBN 9780155417304)*

**MATH 260: Linear Systems and Matrices** (1 Cr.)

Students will study properties of, and solutions to, linear equations and systems of linear equations. Related topics include matrices, properties of matrices, matrix algebra, determinants, eigenvalues, real vectors in two and three dimensions, vector algebra (including dot and cross products), linear combinations, and linear independence. This class is not open to students with credit for MATH 264. Prerequisite or Corequisite: MATH 111, or placement higher than MATH 111 in the Math Placement process. **MATH 260 Master Syllabus**

*Text: none required, a PDF text is made available at no cost*

#### Of Particular Interest to Education Students

**MATH 213: Mathematics for Elementary Teachers I ** (3 Cr.)

This course is restricted to students majoring in elementary education. Topics include problem solving, sets, numeration systems, development of the rational number system, properties and methods of modeling mathematical operations, functions and algebraic relationships. Usually offered every fall semester. Prerequisite or Corequisite: MATH 111 or placement higher than MATH 111 in the math placement process. Open to students with sophomore standing or above.

*Text: Bennett: Mathematics for Elem. Teachers, 10th edition (ISBN 9780078035654)*

**MATH 214: Mathematics for Elementary Teachers II ** (3 Cr.)

A continuation of MATH 213. Topics include two-and three-dimensional geometry, measurement, functions, graphing, proportions, probability, statistics, and methods for solving real world problems. Usually offered every spring semester. Prerequisite: A grade of C+ or higher in MATH 213. Open to students with sophomore standing or above.

*Text: same as MATH 213*

**MATH 270: Ordinary Differential Equations ** (3 Cr.)

Study of linear differential equations of a single variable, and their solutions (graphical, exact, and numerical), applications of ordinary differential equations, Laplace transforms, introduction to systems of linear differential equations, and use of eigenvalues and eigenvectors in solving such systems. Prerequisites: Grade of C- or better in MATH 132 and either MATH 260 or MATH 264. (The latter may be taken concurrently.) **MATH 270 Master Syllabus**

**MATH 320/520: Dynamical Systems ** (3 Cr.)

Theory and applications of mathematical models of dynamical systems (discrete and continuous). Topics include linear and non-linear equations, linear and non-linear systems of equations, bifurcation, chaos, and fractals. Usually offered in the fall semester of odd-numbered years. Prerequisite: MATH 132. ** MATH 320 Master Syllabus**

**MATH 321/521: Mathematical Models of Infectious Diseases ** (3 Cr.)

(Also offered as BIO 321.) An application of mathematical methods, such as differential equations and elementary matrix algebra, to the study of infectious diseases and the analysis of outbreaks and control methods (such as vaccinations). Usually offered online during the summer. Prerequisite: MATH 131 and one of the following: STAT 140, STAT 240, IDS 205, PSY 201, or CE 202.** MATH 321 Master Syllabus**

**MATH 322/522: Optimization ** (3 Cr.)

Theory of, and computer algorithms for, the solution of mathematical programming problems and applications. Topics include the simplex method, cutting planes, branch and bound methods, and numerical methods for unconstrained optimization, game theory, and dynamic programming. Usually offered in the spring semester of even numbered years. Previous computer programming or spreadsheet experience is recommended but not required. Prerequisites: MATH 260 or MATH 264.

**MATH 323/523: Game Theory ** (3 Cr.)

An introduction to the fundamentals of game theory, including dominance, Nash equilibria, and evolutionary stable solutions. Students will explore various models of strategic games and apply them to economics, biology, and other disciplines. Usually offered in the summer. Prerequisites: MATH 131 and one of the following: STAT 140, STAT 240, IDS 205, CE 202, or PSY 201. **MATH 323 Master Syllabus**

**MATH 330/530: Partial Differential Equations ** (3 Cr.)

Theory of, and solution techniques for, partial differential equations of first and second order, including the heat equation and wave equation in rectangular, cylindrical, and spherical coordinates. Tools include Fourier series, Bessel functions, Legendre polynomials, and transform techniques. Usually offered in the spring semester of odd-numbered years. Prerequisites: MATH 253 and MATH 270. **MATH 330 Master Syllabus**

**MATH 334/534: Complex Variables ** (3 Cr.)

A study of mathematics in the complex plane, including analytic functions, derivatives, power and Laurent series, integrals, residues, and conformal mapping, with applications to partial differential equations. Usually offered in the fall semester of even-numbered years. Prerequisite: MATH 253.

**MATH 370/570: Numerical Analysis ** (3 Cr.)

Analysis and implementation of numerical techniques such as polynomial interpolations, root finding, matrix solutions to systems of equations, numerical solutions to differential equations (the finite different method), and numerical integration, with an emphasis on theory and error analysis. Usually offered in the spring semester of even-numbered years. Previous computer programming or spreadsheet experience is recommended but not required. Prerequisite: MATH 260 or MATH 264.** MATH 370 Master Syllabus**

**MATH 371/571: Experimental Mathematics ** (3 Cr.)

A study of the role of computation and experimentation in mathematical proof. Students will learn to write code in a mathematical programming language (e.g. Maple) and then apply programming skills to a variety of mathematical problems. Topics include enumeration, continued fractions, high-precision computing, and numerical integration, among others. Students will also study famous proofs that integrate computation in nontrivial ways and the current state of automated theorem proving/automated proof-checking software. Usually offered in the spring semester of odd-numbered years. Prerequisites: MATH 266 or consent of the instructor. **MATH 371 Master Syllabus**

**MATH 264: Linear Algebra ** (3 Cr.)

A study of linear algebra and an introduction to mathematical reasoning. Topics include systems of linear equations, matrices, determinants, vectors in n-space, abstract vector spaces, and linear transformations. Usually offered every fall semester. Prerequisite: MATH 132 or MATH 220.

*Text: No purchase required, a PDF text is made available at no charge.*

**MATH 266: Transitions in Mathematics ** (3 Cr.)

In this class, students prepare to become professional mathematicians. Major course components are 1) a study of common proof techniques using linear algebra and number theory as foundations, and 2) an introduction to current professional practices such as the use of mathematical typesetting software, the use of computational software, finding and reading mathematical literature, and a survey of current issues in mathematics. Usually offered every spring semester. Prerequisite: a WIC course and either MATH 264 or MATH 132 and consent of the department chair. Recommended to be taken concurrently with MATH 299. **MATH 266 Master Syllabus**

**MATH 290: Topics in Mathematics (Recently: History of Women in Mathematics; Cryptography)** (1-3 Cr.)

Topics may include problem-solving techniques, computer applications, or topics from finite mathematics. Only offered when there is sufficient demand. May be repeated for credit, provided topics are different. Prerequisite: consent of the instructor.

**MATH 312: History of Mathematics ** (3 Cr.)

Students will study the development of mathematics, usually through a survey of mathematics from earliest times to the present. Special topics may be chosen according to the interest of the class. Usually offered in the fall semester of even-numbered years.

**MATH 314: Elements of Geometry ** (4 Cr.)

Logic, axiom systems, and models; consistency, independence, and completeness; consideration of the foundations of Euclidean and non-Euclidean geometries; topics from projective and transformational geometries. Usually offered in the fall semester of odd-numbered years. Prerequisite: MATH 264 or MATH 266.

*Text: Venema: Exploring Advanced Euclidean Geometry with GeoGebra (ISBN 9780883857847)*

**MATH 421: Combinatorics I ** (3 Cr.)

Theory of combinatorics, including elementary counting techniques, the inclusion-exclusion principle, Ramsey theory, and an introduction to graph theory. Additional topics are introduced according to the interests of the students. Usually offered every third semester. Prerequisite: MATH 266.

*Text: Roberts & Tesman: Applied Combinatorics, 2nd Ed (ISBN 9781420099829)*

**MATH 422: Combinatorics II ** (3 Cr.)

A continuation of MATH 421. Topics include generating functions and recurrence relations, Polya’s theorem, matchings and coverings, and other topics based on the interests of the students. Usually offered every third semester. Prerequisite: MATH 421 or consent of the instructor. **MATH 422 Master Syllabus**

*Text: Same as MATH 421.*

**MATH 451: Analysis I ** (3 Cr.)

Properties of real numbers, theory of continuity, differentiation and integration of real valued functions of a real variable, sequences, series, and uniform convergence. Usually offered every third semester. Prerequisites: MATH 132 and MATH 266. **MATH 451 Master Syllabus**

*Text: No purchase required, a PDF text is made available at no charge.*

**MATH 452: Analysis II ** (3 Cr.)

Theory of continuity and differentiation of real and vector-valued multi-variable functions; multiple integration and the Jacobian; implicit and inverse function theorems; topology of real n-space. Usually offered every third semester. Prerequisites: MATH 253 and MATH 451.

*Text: No purchase required, a PDF text is made available at no charge.*

**MATH 453: Topology **(3 Cr.)

Introduces students to topological spaces, open and closed sets, continuous functions, limit points, and homeomorphisms. Topics also include properties of spaces, such as connectedness and path-connectedness. Additional topics could consist of applications of topology, such as knot theory and 2-D manifolds. Offered every third semester. Prerequisite: MATH 266.

**MATH 461: Abstract Algebra I ** (3 Cr.)

A course in the theory of mathematical structures, i.e. groups, rings, and fields, along with substructures, quotient structures, and homomorphisms. Usually offered every third semester. Prerequisite: MATH 266. MATH 461 Master Syllabus

*Text: No purchase required, a PDF text is made available at no charge.*

**MATH 462: Abstract Algebra II ** (3 Cr.)

A continuation of MATH 461. Topics may include a more detailed study of rings, polynomial rings, field extensions, field automorphisms, an introduction to Galois theory, further work in group theory, and an introduction to additional structures. Usually offered every third semester. Prerequisite: MATH 461.

*Text: No purchase required, a PDF text is made available at no charge.*

**MATH 490: Advanced Topics in Mathematics **(1-3 Cr.)

An advanced course for mathematics majors, topics will vary according to faculty and student interest. Only offered when there is sufficient demand. May be repeated for credit, provided topics are different. Prerequisites will depend on the content.

**MATH 495: Independent Study in Mathematics ** (1-3 Cr.)

Students study advanced topics in mathematics under the supervision of a faculty member. Written work is required. May be repeated for credit. Prerequisite: consent of the chair of the department.

**MATH 496: Research in Mathematics ** (0-3 Cr.)

Students undertake a research problem in mathematics under the direction of a faculty member. Written and oral reports are required. S/U grade only. May be repeated for credit. Prerequisite: consent of the instructor or chair of the department.

#### The Mathematics Colloquium Sequence

**MATH 199: Mathematics Colloquium I ** (0 Cr.)

Students attend and act as moderators for sessions of MATH 499 and begin participating in co-curricular mathematical activities culminating in MATH 399. S/U grade only. **MATH 199 Master Syllabus**

**MATH 299: Mathematics Colloquium II ** (0 Cr.)

Students are required to attend sessions of MATH 499, evaluate student presentations, and continue participating in co-curricular mathematical activities culminating in MATH 399. S/U grade. Prerequisite: MATH 199. Recommended to be taken concurrently with MATH 266.

**MATH 399: Mathematics Colloquium III ** (1 Cr.)

Students are required to attend sessions of MATH 499 and participate in activities related to mathematics that take place outside of the classroom. Examples include attending a mathematics conference, participating in service learning opportunities, or taking the national Putnam exam. Potential activities are assigned points, and students must attain a certain minimum number of points before the completion of this course to receive credit. Prerequisite: MATH 299 and at least junior standing. **MATH 399 Master Syllabus**

**MATH 499: Mathematics Colloquium IV ** (1 Cr.)

Students explore, write about, and give presentations about a topic or topics chosen according to the interests of faculty and students. Guest speakers may be arranged in accordance with the topic or topics. Students design, implement, and run a regularly scheduled departmental colloquium, to which all faculty and students are invited. Prerequisites: MATH 266 and MATH 399. **Math 499 Master Syllabus**

**STAT 140: General Statistics ** (3 Cr.)

A noncalculus-based introduction to the major concepts and tools for collecting, organizing, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: planning a study, exploring data, anticipating patterns, and statistical inference. This course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. Prerequisite or Corequisite: MATH 110 or placement higher than MATH 110 in the Math Placement process.

**STAT 240: Statistical Analysis ** (3 Cr.)

An introduction to probability and statistics for students who have completed a semester of calculus. Topics include probability, empirical and theoretical frequency distributions, sampling, correlation and regression, testing hypotheses, and estimation of parameters, with an emphasis on illustrations and applications of these techniques. This course is not open to students with credit for STAT 140, IDS 205, CE 202, or PSY 201. Prerequisites: MATH 122 or Math 131. **STAT 240 Master Syllabus**

**STAT 340/540: Statistics for Decision Making ** (3 Cr.)

A study of statistical concepts and methods to facilitate decision-making. Content includes analysis of variance, simple and multiple regression, correlation, time-series analysis, and nonparametric methods. This course is not open to students who have completed IDS 340. Prerequisite: one of the following: STAT 140, STAT 240, IDS 205, PSY 201, or CE 202. This course is not open to students who have completed IDS 340. **STAT 340 Master Syllabus**

**STAT 343/543: Time Series Analysis ** (3 Cr.)

This course studies statistical modeling and forecasting of time series, which are observations made sequentially through time. Applications of time series discussed are selected from finance, economics, health sciences, meteorology, and many other fields. Students will participate in periodic computer lab sessions with the software SAS. Usually offered every fall semester. Prerequisite: one of STAT 340, ECON 325, or ECE 365. **STAT 343 Master Syllabus** / **STAT 543 Master Syllabus**

**STAT 344/544: Stochastic Processes ** (3 Cr.)

A survey of probabilistic models used in decision theory. Topics include stochastic processes, queuing theory, forecasting, Bayesian decision theory, reliability, and simulation. Usually offered every third semester. Prerequisites: a linear algebra course (MATH 260 or MATH 264) and a statistics course (one of STAT 140, STAT 240, IDS 205, PSY 201, or CE 202). **STAT 344 Master Syllabus** / **STAT 544 Master Syllabus**

**STAT 361/561: Introduction to R **(1 Cr.)

An introductory course to the statistical analysis software R. Topics include basic R programming, importing and cleaning data, data visualization, performing descriptive and inferential statistics, and creating reproducible reports. Pre/corequisite: one of STAT 340, IDS 340, or ECON 325.

**STAT 363/563: Introduction to SAS **(3 Cr.)

An introductory course to the statistical analysis software SAS. Topics include basic SAS programming, creating SAS data sets from external files, creating and managing variables, reading raw data in fixed fields, reading free‐format data, reading date and time values, producing descriptive statistics, SAS functions, SAS plots, one‐sample tests, two-sample tests, and linear regression. Pre/corequisite: one of STAT 340, IDS 340, or ECON 325.

**STAT 441/541: Probability ** (4 Cr.)

A course in probability with some topics applicable to statistics. Topics include probability spaces, random variables, classical discrete and continuous probability distributions, multivariate probability distributions (with an introduction to multivariable calculus), and joint and conditional distributions. Usually offered every third semester. Prerequisite: MATH 132. **STAT 441 Master Syllabus** / **STAT 541 Master Syllabus**

**STAT 442/542: Mathematical Statistics ** (3 Cr.)

A continuation of STAT 441. Topics include the central limit theorem, covariance, moments, estimation, tests of hypotheses, and sampling theory. Usually offered every third semester. Prerequisite: STAT 441. **STAT 442 Master Syllabus**

**STAT 490: Advanced Topics in Statistics **(3 Cr.)

An intensive study of selected topics, methods, techniques, and problems in applied statistics. Only offered when there is sufficient demand. Prerequisites will depend on the content. May be repeated for credit, provided topics are different.

**STAT 495: Independent Study in Statistics **(3 Cr.)

Students study advanced topics in statistics under the supervision of a faculty member. Written work is required. May be repeated for credit. Prerequisite: consent of the chair of the department.

**STAT 496: Research in Statistics **(3 Cr.)

Students undertake a research problem in statistics under the direction of a faculty member. Written and oral reports are required. S/U grade only. May be repeated for credit. Prerequisite: Consent of the instructor or chair of the department.

#### The Statistics Colloquium Sequence

**STAT 299: Statistics Colloquium I **(1 Cr.)

Students read current newspaper or journal articles involving statistics and complete written analyses and/or oral presentations. Students evaluate senior presentations given by students in STAT 499. Guest speakers may be arranged to present on a variety of topics in statistics. Meets jointly with STAT 399 and STAT 499. Prerequisite: one of STAT 140, STAT 240, PSY 201, IDS 205, or CE 202. **STAT 299 Master Syllabus**

**STAT 399: Statistics Colloquium II **(1 Cr.)

Students read current newspaper or journal articles involving statistics and complete written analyses and/or oral presentations. Students will propose and design a statistical project to be completed in STAT 499. Guest speakers may be arranged to present on a variety of topics in statistics. Meets jointly with STAT 299 and STAT 499. Prerequisite: STAT 299 and a WIC course. **STAT 399 Master Syllabus**

**STAT 499: Statistics Colloquium III **(1 Cr.)

Students read current newspaper or journal articles involving statistics and complete written analyses and/or oral presentations. Students will each individually complete a major project involving statistics, producing a written paper and oral presentation. Guest speakers may be arranged to present on a variety of topics in statistics. Meets jointly with STAT 299 and STAT 399. Prerequisite: STAT 399. **STAT 499 Master Syllabus**

**ACRS 325: Actuarial Modeling ** (3 Cr.)

A study of actuarial models in the context of insurance. Topics include mathematics of finance (including interest theory, annuities, and loans), bonds, cash-flow, interest rate swaps, financial derivatives and options, and actuarial professional issues. Prerequisite: MATH 132.

**ACRS 386: Internship in Actuarial Science ** (3 Cr.)

Opportunities for students to have direct, supervised experience in public agencies or private industry, such as insurance companies or consulting firms. S/U grade. Prerequisites: actuarial science major and approval of the chair of the actuarial science program.

**ACRS 400: Actuarial Exam P / Exam 1 Review **(1 Cr.)

A review of the material covered by the SOA exam P and CAS exam 1. S/U grade. Prerequisite or corequisite: STAT 441.

**ACRS 402: Actuarial Exam FM / Exam 2 Review **(1 Cr.)

A review of the material covered by the SOA exam FM and CAS exam 2. S/U grade. Prerequisite or corequisite: ACRS 325.

**ACRS 495: Independent Study in Actuarial Science ** (1 Cr.)

Students study advanced topics in actuarial science under the supervision of a faculty member. Written work is required. May be repeated for credit. Prerequisite: consent of the chair of the actuarial science program.

**DATA 151: Introduction to Data Science **(3 Cr.)

Introduction to the use of computer based tools for the analysis of large data sets for the purpose of knowledge discovery. Students will learn to understand the Data Science process and the difference between deductive hypothesis‐driven and inductive data‐driven modelling. Students will have hands‐on experience with appropriate on‐line analytical processing and data mining software platforms, and will complete a project using real data. Pre/corequisite: one of STAT 140, STAT 240, IDS 205, or PSY 201.

**DATA 374 / AMOD 574: Computational Linear Algebra **(3 Cr.)

(Also offered as MATH 374 or CS 374.) A survey of computational applications of linear algebra for solving science and engineering problems. Topics include linear systems in both equation and matrix form, row operations, inverses and determinants, eigenvalues, Gaussian elimination, matrix decomposition (including singular value and QR decompositions), sparse vs. dense matrices, and approximation. Topics are explored through applications to large data sets, with programming in both Python and MATLAB environments. Other advanced topics related to data mining may be covered. Prerequisites: One of CS 157 or DATA 151, one of MATH 260 or MATH 264.

**DATA 375 / AMOD 575: Scientific Visualization **(3 Cr.)

Students are introduced to a variety of techniques for visualizing scientific data, with an emphasis on representing large datasets in informative ways. Data from a variety of disciplines is studied and taxonomies for viewing this data are developed. The interfaces used to manipulate views of such datasets in a virtual environment are also studied. Prerequisites: DATA 151 and CS 158.

**DATA 433 / AMOD 533: Data Mining and Applications **(3 Cr.)

Data mining is a broad area that integrates techniques from several fields, including machine learning, statistics, pattern recognition, artificial intelligence, and database systems, for the analysis of large volumes of data. This course gives a wide exposition of these techniques and their software tools. Prerequisite: DATA 151 or CS 157 and one of STAT 140, STAT 240, IDS 205, PSY 201, or CE 202. Students may not receive credit for both DATA 433 and BUS 440.

**DATA 490 / 590: Advanced Topics in Data Science **(3 Cr.)

An intensive study of selected topics, methods, techniques, and problems in Data Science. Only offered when there is sufficient demand. May be repeated for credit, provided topics are different. Prerequisites will depend on the content.

**DATA 495: Independent Study in Data Science **(3 Cr.)

Students study advanced topics in data science under the supervision of a faculty member. Written work is required. May be repeated for credit. Prerequisite: consent of the chair of the department.

**DATA 496: Research in Data Science **(3 Cr.)

Students undertake a research problem in data science under the direction of a faculty member. Written and oral reports are required. S/U grade only. May be repeated for credit. Prerequisite: Consent of the instructor or chair of the department.

#### The Data Science Colloquium Sequence

**DATA 299: Data Science Colloquium I **(1 Cr.)

Students read current media or journal articles involving data science, and present written and/or oral analyses. Students evaluate senior presentations given by students in DATA 499, and provide written feedback on project proposals from DATA 399. Guest speakers may be arranged to present on a variety of topics. Meets jointly with DATA 399 and DATA 499. Pre/corequisite: DATA 151. **DATA 299 Master Syllabus**

**DATA 399: Data Science Colloquium II **(1 Cr.)

Students will present an ethical case study on an analytical or statistical data topic. Students will propose and design a capstone project integrating their mathematical, statistical, computational and applied knowledge. Guest speakers may be arranged to present on a variety of topics. Meets jointly with DATA 299 and DATA 499. Usually offered every spring semester. Prerequisite: DATA 299 and a WIC course. **DATA 399 Master Syllabus**

**DATA 499: Data Science Capstone **(1 Cr.)

Students will undertake a capstone project integrating their applied domain knowledge and general data‐science coursework. The project will culminate in a final paper and presentation. Guest speakers may be arranged to present on a variety of topics. Meets jointly with DATA 299 and DATA 399. Prerequisite: DATA 399. **DATA 499 Master Syllabus**