Mathematics (MATH)
This is a discussion-based course that introduces students to the mathematics major. Topics of discussion can include mathematics career possibilities, tools to be a successful mathematics major, historical and philosophical aspects of mathematics, and the latest research tendencies in mathematics. Topics may vary based on student interests. This course is also an opportunity for faculty across the mathematics program to introduce themselves and their research to new mathematics majors. Credit/No Credit only. Not challengeable.
Reviews arithmetic fractions and polynomials; concentrates on linear and quadratic equations, exponents, radicals, and linear graphs. Can only be taken for credit/no credit. Not challengeable.
Emphasizes problem-solving skills and applications. Includes linear and quadratic equations, inequalities, systems and matrices, polynomials, functions, exponentials, logarithms, and graphing.
In this studio course, students will complete worksheets with challenging problems that are created from different concept areas, designed to address areas of improvement, and incite student collaboration. These worksheets will cover knowledge of basic algebraic operations; emphasize their utilization in problem solving in the physical and social sciences; discuss a wide variety of practical applications of elementary algebra; and develop the reasoning processes relevant to setting up and solving problems. Not challegeable.
Reviews equations and inequalities, systems and polynomials; concentrates on functions, graphing, complex numbers, theory of equations, and trigonometry in preparation for calculus or science courses.
Introduces contemporary mathematical sciences to the non-specialist through real-world applications as related to social justice. Explores how our mathematical identities have been shaped, discuss the intersections of diversity, equity, inclusion, and mathematics using statistical data, analyzes statistical data to design a plan to mitigate a societal problem. Topics include racial profiling and gerrymandering.
Student-designed courses approved by a faculty member. Prior approval of goals, objectives, procedures, and assessment plan as directed in the Independent Study Manual is required. May be taken multiple times with a different topic for credit. Not challengeable.
Introduces standard topics in differential and integral calculus of functions of one variable including a review of analytic geometry and transcendental functions.
Continuation of 201, with an emphasis on various techniques and applications of integration as well as the calculus of sequences and series.
Introduces abstraction in math. Includes set theory, symbolic logic, number theory, abstract algebra, and analysis. Explores rigorous proof, and oral and written expression of mathematical concepts.
Continuation of the theory of functions of one and two variables including polar coordinates, vector-valued functions, multivariable functions, and multiple integrals.
Elementary differential equations with applications. First- and second-order linear and higher order equations, series solutions, operator, matrix, and numerical techniques.
Calculus of several variables including multidimensional differentiation and integration, and major theorems of vector analysis: Green's theorem, Stokes' theorem, and divergence theorem.
An introduction to vector spaces, linear transformations, matrices, eigenvalues and eigenvectors, diagonalization of matrices, inner product spaces, and applications.
Divisibility theory, Diophantine equations, congruencies, number theoretic functions, Fibonacci numbers, fundamental theorems, and statements of open problems.
Introduction to sets, groups, rings, fields, and vector spaces, with applications.
Algebra of events, random variables, standard distributions, expected values, variance, and Markov chains.
Introduces theory and practical applications of statistical inference including estimation of parameters, confidence intervals, hypothesis testing, ANOVA, regression analysis, and experimental design. Directed study only.
Introduces mathematical modeling, model construction, solution techniques, and interpretations. Utilizes advanced mathematical and computer tools.
Selected topics in specialty areas of mathematics in response to student needs and faculty interests. May be repeated with different topics. Letter grade only. Not challengeable.
Introduces advanced calculus and real analysis. Includes properties of real numbers, metric spaces, the Heine-Borel and Weierstrass theorems, continuity and uniform continuity, sequences and series of functions, differentiation and Riemann integration, and elementary measure theory.
Surveys the development of elementary mathematics from antiquity to the present.
Culminating activity required by majors in all departments. Papers/theses/projects researched, prepared, and written under the guidance of a faculty member. Comprehensive exams or recitals required in some departments. Academically, Students must be in Good Standing to enroll in 499. Can be taken for letter grade only. Not challengeable.
This course consists of attendance and participation in weekly meetings and seminars presented by speakers inside and outside of mathematics. During the meetings, students will discuss their research projects, learn about scientific research, give presentations, and workshop writing assignments with peers. Letter grade only. Not challengeable.
This course consists of attendance and participation in weekly meetings. During the meetings, students will conduct, discuss, present, and write their research projects with peers. Letter grade only. Not challengeable.