A. All of the following
Note: Students take either M148 Calculus I with Precalculus and M149 Calculus I with Precalculus, or M151 Calculus I.
M148 Calculus I with Precalculus (part 1) (4 cr.)
This course, followed by M149, provides a two-semester sequence that covers the material of M151 along with built-in coverage of precalculus topics. Topics in M148 include: solving equations, functions, classes of functions (polynomial, rational, algebraic, exponential, logarithmic), right triangle trigonometry, angle measure, limits and continuity, derivatives, rules for derivatives. Credit is not granted for this course and M151 or courses equivalent to college algebra and college trigonometry.
M149 Calculus I with Precalculus (part 2) (4 cr.)
This course completes the two-semester sequence that begins with M148, and together with M148 provides a two-semester sequence that covers the material of M151 along with built-in coverage of precalculus topics. Topics in M149 include: trigonometric and inverse trigonometric functions, rules for derivatives, applications of derivatives, and definite and indefinite integrals. Credit is not granted for this course and M151.
M151 Calculus I (4 cr.)
This course provides an introduction to the differential and integral calculus. Topics include: the concepts of function, limit, continuity, derivative, definite and indefinite integrals, and an introduction to transcendental functions. Credit is not granted for this course and M148 and M149.
M152 Calculus II (4 cr.)
This course continues the development of calculus. Topics include: applications of the definite integral, techniques of integration, improper integrals, introduction to differential equations, numerical methods for integration and approximation, curves in the plane given parametrically, polar coordinates, and vectors in 2-space and 3-space.
M251 Calculus III (4 cr.)
This course continues the development of calculus. Topics include: sequences and series, and differentiation and integration of vector-valued functions and functions of several variables.
B. Both of the following:
M332 Probability (2 cr.)
This calculus-based course is designed to provide mathematics majors and minors with an introduction to the mathematical underpinnings of statistics. Topics include: probability axioms, probability, Bayes' Theorem, random variables, discrete and continuous probability distributions, and expected value.
ST232 Introduction to Statistics (2 cr.)
This course is designed to provide the basic ideas and techniques of statistics. Topics include: descriptive and inferential statistics, an intuitive introduction to probability, estimation, hypothesis testing, chi-square tests, regression and correlation. This course makes significant use of appropriate technology. Topics in this course are treated at a higher mathematical level than they are treated in ST132 Reasoning with Statistics.
Credit is not granted for this course and any of the following: BU215 Business Statistics, B392 Biostatistics, or ST132 Reasoning with Statistics.
C. Two of the following:
ST350-359 Special Topics (3 cr.)
Selected topics in statistics may be offered depending on student interest.
ST371 Applied Regression Analysis (3 cr.)
This course provides students with an introduction to linear and non-linear models in statistics. Topics include: linear regression, multiple regression, one-, two-, and higher-way analysis of variance, and popular experimental designs. Real-world problems are analyzed using appropriate technology.
ST373 Design of Experiments (3 cr.)
This course provides an introduction to the principles of the design of experiments from a statistical perspective. Topics include: Analysis of variance, covariance, randomization, completely randomized, randomized block, Latin-square, factorial, response surface methods and other designs.
ST431 Mathematical Statistics (3 cr.)
This course provides a mathematical treatment of probability and statistics. Topics include: several descriptions of the concept of probability, univariate and bivariate probability distributions, joint and marginal probability distributions, covariance, data analysis, and sampling distributions.
ST496/497 Statistics Internship (1–17 cr.)
This opportunity provides the student with experience and training in statistical techniques. The internship must be approved by the department chair and, depending on the nature of the internship, may be counted towards the major. Students usually are expected to give a presentation following the experience.