## Upper Division Courses

### MAT-311-312 Probability & Mathematical Statistics 3.0 cr. each

Fall, spring. Alt. years. Prereq.: MAT-251 or permission. MAT-312 is a continuation of MAT-311. A study of finite sample spaces, conditional probability and independence, functions of random variables, random variables of one or more dimensions, discrete random variables, continuous random variables, moment generating functions, sampling distribution, estimation and testing of hypotheses. (MATHEMATICS)

### MAT-352 Differential Equations 3.0 cr.

Spring. Prereq.: MAT-251 or 251.1 permission. A study of the solution and applications of ordinary differential equations. Includes one 1 ½ hour laboratory weekly. (MATHEMATICS)

### MAT-361 Linear Algebra 3.0 cr.

Spring. Alt. years. Prereq.: MAT-251 or permission. A study of general vector spaces, linear transformations, eigenvalues and eigenvectors. (MATHEMATICS)

### MAT-370 Geometry 3.0 cr.

Winter. Alt. years. Prereq.: MAT-251 or permission. A study of Euclidean geometry and the development of non-Euclidean geometry, one of the most significant occurrences in the history of mathematics. (MATHEMATICS)

### MAT-372 History of Mathematics 3.0 cr.

Winter. Alt. years. Prereq.: MAT-251 or permission. A historical survey of the ideas, tools, and symbols of mathematics and the people who developed them. For upper-division students who are planning to teach or otherwise pursue mathematics as a profession. (MATHEMATICS)

### MAT-431 Complex Variables 3.0 cr.

Spring. Alt. years. Prereq.: MAT=361 or 370. A study of the calculus of functions of a complex variable. Topics include elementary functions, series representation, analytic functions, complex integration and conformal mappings. (MATHEMATICS)

### MAT-441 Topology 3.0 cr.

Spring. Alt. years. Prereq.: MAT-361 or 370. An introduction to the techniques and theorems of point-set topology and metric spaces. Topics include: cardinality, separation axioms, compactness, connectedness, continuity and finite products. (MATHEMATICS)

### MAT-451 Real Analysis 3.0 cr.

Fall. Alt. years. Prereq.: MAT-361 or 370. A study of the basic concepts of real analysis. Topics include limits, sequences, series, continuity, differentiation and integration. (MATHEMATICS)

### MAT-461 Algebraic Structures 3.0 cr.

Fall. Alt. years. Prereq.: MAT-361 or 370. An introduction to the study of abstract algebra. Topics will be primarily from the theory of groups and rings. (MATHEMATICS)

### MAT-494 Independent Study 1.0 to 3.0 cr.

Fall, winter, spring. Prereq.: Permission. Research studies for qualified mathematics majors. See independent study guidelines. (INDEPENDENT WORK)

### MAT-497 Internship 1.0 to 3.0 cr.

Prereq.: Junior or senior standing and permission. Individually arranged programs of work and study with the department, academic institutions, private industries, or government agencies. See internship guidelines. (INDEPENDENT WORK)

### MAT-498 Upper-Division Seminar 1.0 cr.

Spring. Prereq.: Senior standing with major in mathematics or permission. Study of topics in mathematics not covered in previous mathematics courses. May be repeated for credit.