# Department of Mathematics

## Upper Division Courses

The following is a list of all upper division courses regularly taught by the mathematics department. If you have any questions contact a faculty member, they will be happy to answer any questions you have.

**MATH 301 - Foundations for Advanced Math**This course is a study of mathematical systems and the forms and techniques of proof. Included topics are logic, set theory, relations, functions, and an introduction to elementary number theory. Other topics may be included as time permits. Careful writing of mathematical proofs is emphasized. Offered Spring terms.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 221 (minimum grade of C-)**MATH 311 - Matrices & Linear Algebra**A study of the properties and applications of matrices, including systems of equations, determinants, factorizations, and eigenvalues. An introduction to vector spaces and linear transformations.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 221 (minimum grade of C-)-
**MATH 313 - Combinatorics**An introduction to combinatorics and finite math. This course will cover basic counting techniques, including the pigeonhole principle, enumeration of sets, permutations, combinations, partitions and the Binomial Theorem. Combinatorial and algebraic patterns of polynomials will be studied. Offered Fall term.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 221 (minimum grade of C-) **MATH 316 - Topics In Number Theory**This course introduces students to number theory. Topics include modular arithmetic, basic prime number theorems, congruences, and finite fields.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 221 (minimum grade of C-)

**MATH 318 - Math for Elem Sch Teacher II**This course is designed for the future elementary school teacher. It is a content course covering P-6 mathematics. The course includes a study of ratio and proportion, decimals, percents, measurement, elementary geometry, and elementary data analysis. Reasoning, justification, and problem solving will be central elements in this course.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 215 (minimum grade of C-)

**MATH 325 - History Of Mathematics**The development of selected mathematical concepts will be traced from the Greek era. The course will focus on mathematical creation as a human endeavor done within a cultural context. Offered Spring term.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 222 (minimum grade of C-)

**MATH 327 - Differential Equations**An introduction to ordinary differential equations. Topics include methods of solving first-order ordinary differential equations, basic theory of solving n-th order linear equations, solving linear systems of first order equations, and Laplace transforms. Other topics may include numerical methods, infinite series methods, and qualitative analysis of differential equations. Applications will be emphasized.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 222 (minimum grade of C-)

**MATH 342 - Modern College Geometry**Topics in geometry including Euclidean axiom systems and transformations and topics from non-Euclidean geometries. May include topics such as spherical and hyperbolic geometry, topology of surfaces, and basic graph theory.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 301 (minimum grade of C-)**MATH 378 - Advanced Probability and Statistics**This course is a calculus-based introduction to probability theory. Topics include discrete and continuous random variables, probability distributions functions; mathematical expectation; joint density functions, law of large numbers; central limit theorem, probability models and applications, as well as an overview of statistical hypothesis testing aimed at understanding how and why standard statistical tests work.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 223 (minimum grade of C-) or concurrent enrollment in MATH 223

**MATH 430 - Complex Variables**This course will cover topics in complex numbers and analytic functions. Other topics may include: elementary functions and associated mappings, integrals, series, residues and poles, and conformal mappings.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 223 (minimum grade of C-) AND MATH 301 (minimum grade of C-)

**MATH 438 - Real Anlysis I**Analysis of functions of one real variable including a rigorous treatment of topics from Calculus I and II. Topics include the topology of the real line, numerical sequences and series, pointwise and uniform convergence of sequences of functions, continuous functions, differentiable functions, and the Riemann integral. Offered Fall term.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 223 (minimum grade of C-) AND MATH 301 (minimum grade of C-)

**MATH 439 - Real Analysis II**A continuation of MATH 438. Topics may include multivariable analysis (including differentiability and integrability of functions of more than one variable, the Implicit and Inverse Function Theorems, and differential forms), Fourier analysis, and Lebesgue measure/integration.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 438 (minimum grade of C-) AND MATH 311 (minimum grade of C-)

**MATH 483 - Advanced Topics in Mathematics**Variable proof based advanced topics may include topics in abstract algebra, real or complex analysis, point set topology, geometry.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 301 (minimum grade of C-)-
**Math 487 - Group Theory**This course is an introduction to Group Theory. Offered Fall term.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 301 (minimum grade of C-) -
**Math 488 - Ring and Field Theory**This course is an introduction to the theory of rings and fields.

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 487 (minimum grade of C-) -
**Math 494 - Senior Capstone in Mathematics**This course will be taught in seminar style. Each participant will contribute equally to the development of a mathematical topic chosen by the instructor. The mathematics will draw on and extend skills and concepts learned in previous mathematics courses. Each student will produce a final product to effectively communicate the results of their study in this course. Offered Spring term

**Credits:**3

**Clock Hours - (Lect-Lab):**(3-0)**Prerequisites:**MATH 430 (minimum grade of C-) OR MATH 438 (minimum grade of C-) OR MATH 439 (minimum grade of C-) OR MATH 483 (minimum grade of C-) OR MATH 487 (minimum grade of C-) OR MATH 488 (minimum grade of C-)