# Course Descriptions

*CO = Co-requisite, POI = Permission of Instructor, PR = Prerequisite, RE = Recommended, XL = Cross-listed*

### 110 Mathematics for the Liberal Arts (3)

This course provides a survey of mathematics emphasizing problem solving, critical thinking, and quantitative reasoning. Topics vary and are chosen by the instructor. The focus is on mathematics as encountered in the world and the connections between Mathematics and the liberal arts. *(Fall and Spring)*

### 196 Precalculus (3)

Pre-Calculus is a thorough study of topics in mathematics involving algebra and trigonometry designed to prepare students to progress into introductory calculus (Math 201). Topics include inverse functions, right triangle and unit circle approaches to the trigonometry, graphs of functions, inverse trigonometric functions, and trigonometric identities, solving equations, applications using the Law of Sines and Law of Cosines, and other algebraic topics. *(Only offered in summer for sufficient demand)*

### 201 Calculus I and Analytic Geometry (3)

*(Students may not receive credit for both MATH 201 and MATH 211) *This is the first of a four-course sequence of calculus and analytic geometry. Although topics covered in each of the four courses will vary with the textbook used, this course includes topics from analytic geometry, limits, continuity of functions, the derivative, differentiation techniques for algebraic and trigonometric functions, and applications of the derivative to graphing, maxima/minima problems, and related rates. *(Fall and Spring)*

### 202 Calculus II (3)

*(PR: MATH 201 or POI; majors must make a grade of “C” or better) *A continuation of MATH 201 with the definite integral; applications of the definite integral in finding areas, volumes, work, and arc length; differentiation and integration of exponential, logarithmic, and other transcendental functions; and techniques of integration, including integration by parts, substitutions, partial fractions, and tables. *(Fall and Spring)*

### 210 Applied Statistics (3)

*(Mathematics majors may not receive credit for both MATH 210 and either of STAT 319 or 320.)* This course is a data-oriented approach to analyzing data by arguing from the sample to the population. Topics include numeric and graphical measures of describing data, density curves, the normal random variable, interpreting scatterplots, correlation, least squares regression, sampling, experimental design, discrete and continuous probability models, random variables, sampling distribution for counts, proportions and sample means, inference about means and proportions, analysis of two-way tables, analysis of variance, bootstrap methods, and nonparametric methods.* (Fall and Spring)*

### 211 Applied Calculus (3)

*(Students may not receive credit for both MATH 201 and MATH 211) *A one semester introduction to the differential and integral calculus of algebraic, exponential, and logarithmic functions with applications in the social and biological sciences, including business and economics. This is a terminal course and does not prepare the student for MATH 202. *(Fall and Spring)*

### 221 Transition to Advanced Mathematics (3)

*(PR: MATH 202 or MATH 201 with POI ● Math majors must make a grade of “C” or better)* This course is designed to prepare a student for advanced math courses and covers concepts and techniques used in studying logic, proofs, set theory, relations, functions, and cardinality of sets.* (Fall and Spring)*

### 222 Computing Methods for Math and Science (3)

*(PR: MATH 202) *Covers an introduction to the computer program language C++, an introduction to the plotting tool gnuplot, an introduction to the typesetting language LaTeX, techniques for numerical calculations symbolic mathematical manipulations, and symbolic math packages. *(Fall, odd years)*

### 258 Special Topics (1-6)

See Catalog.

### 301 Calculus III (3)

*(PR: MATH 202) *A continuation of MATH 201 and 202. Topics covered include indeterminate forms, improper integrals, sequences and series, power series, conic sections, and curves given by parametric and polar equations with applications of derivatives and integrals to these curves. *(Fall and Spring)*

### 302 Calculus IV (3)

*(PR: MATH 202) *The last course in the four-course calculus sequence. Topics are multivariate calculus, including solid analytic geometry; vectors in three dimensions; vector valued functions, functions of several variables; partial derivatives; and multiple integrals.* (Fall and Spring)*

### 305 Complex Variables (3)

*(PR: MATH 221 and 302) *This course is a study of the complex plane and the calculus of functions of a complex variable. Topics include the algebra and geometry of complex numbers, limits and derivatives of functions of a complex variable, the Cauchy- Riemann equations, contour integrals, Taylor and Laurent series, and residues. *(Fall, even years)*

### 307 Linear Algebra (3)

*(PR: MATH 202 and 221) *A study of vector spaces, subspaces, bases, and dimension with applications to solving systems of equations. Also includes linear transformations, representation of linear transformations by matrices, eigenvalues, eigenvectors, and diagonalizing matrices. *(Spring)*

### 308 Discrete Mathematics with Graph Theory (3)

*(PR: MATH 221 or POI) *An introduction to Discrete Mathematics. Topics include set theory and foundations, mathematical induction, recurrence relations, algorithms, graph theory, and combinatorics. *(Fall, even years)*

### 309 Modern College Geometry (3)

*(PR: MATH 202 and 221) *A study of the axiomatic method, neutral geometry, plane Euclidean geometry, and plane hyperbolic geometry. *(Fall, odd years)*

### 311 Probability Theory (3)

*(PR: MATH 221 and 302, or MATH 221 and 301 with POI) *A calculus-based introduction to probability with application to statistics. *(Spring, odd years)*

### 313 Abstract Algebra I (3)

*(PR: MATH 202 and 221, or POI) *This course covers algebraic structures such as groups, subgroups, quotient groups, rings, ideals, integral domains, fields, and polynomial rings and the relationships of these structures to the number system. *(Fall, even years)*

### 314 Abstract Algebra II (3)

*(PR: MATH 313 or POI) *A continuation of MATH 313. *(Spring, odd years)*

### 317 Number Theory with Math History (3)

*(PR: MATH 221) *This course serves as an introduction to the theory of numbers. Topics include congruences, the distribution of primes, properties of Euler’s phi-function, primitive roots of primes and certain composite numbers, quadratic reciprocity, perfect numbers, and the history of Fermat’s Last Theorem. *(Fall, odd years)*

### 320 Graph Theory (3)

*(PR: MATH 221) *An introduction to the study of graphs, balancing theory and applications. Topics include Euler circuits and paths, Hamiltonian paths, distance in graphs, connectedness, trees, planar graphs, graph colorings, matchings, directed graphs, weighted graphs, and/or other topics as time permits. *(Spring, odd years)*

### 350 Numerical Methods (3)

*(PR: CSC 1232 -1232L, and MATH 202, or POI; XL: CSC 350) *A study of the use of the computer to solve mathematical problems of interest to scientists and engineers. Topics include function approximation, numerical differentiation and integration, systems of linear equations, least-squares fitting, function minimization, and Monte-Carlo methods. Special emphasis is placed on using matrix methods where appropriate. Students are expected to write several programs illustrating these topics. *(Spring, even years)*

### 398 Honors Research (3-6)

See Catalog.

### 401 Differential Equations (3)

*(PR: MATH 302 or 301 and POI) *This course includes first and second order differential equations and linear equations with constant and variable coefficients. *(Spring)*

### 405 Introduction to Analysis I (3)

*(PR: MATH 221 and 302) *This course includes topics such as the real number system, the completeness property, numerical sequences and series, continuity and uniform continuity of functions, differentiation, the Riemann integral, sequences and series of functions, and metric spaces. *(Fall, odd years)*

### 406 Introduction to Analysis II (3)

*(PR: MATH 405) *A continuation of MATH 405. *(Spring, even years)*

### 440 Senior Capstone in Mathematics (3)

*(PR: Option I or II Senior Math Majors) *A seminar for senior Traditional and Applied Mathematics majors, emphasizing the application of previous content to the study of new topics. Supervising faculty member(s) facilitate students’ projects, including both written and oral presentations. *(Spring)*

### 441 Senior Capstone in Teaching Mathematics (1)

*(PR: Option III Senior Math Majors ● CO: EDSD 400, 401, 402) *The capstone for senior Mathematics Education majors is taken in conjunction with student teaching. Students keep a journal to reflect upon their mastery of mathematical knowledge and their understanding of teaching and learning. The supervising faculty member(s) observe and assess the majors’ content knowledge and student teaching. *(Spring)*

### 442 Directed Study in Mathematics (1-3)

Hours and credit arranged to meet the needs of the student. Open to junior and senior departmental majors by special permission. Subject matter pertaining to the student’s field of interest. See Catalog.

### 444 Internships (1-6)

See Catalog.

### 446 Readings (1-9)

See Catalog.

### 448 Research (1-9)

See Catalog.

### 450 Seminar (1-9)

See Catalog.

### 452 Special Projects (1-9)

See Catalog.

### 458 Special Topics (1-6)

See Catalog.