Offered by Department of Mathematics and Statistics

College of Natural and Social Sciences

- MATH 800P - History of Mathematics - 3 hours
- Prereq: MATH 202* and permission of instructor

An introduction to the history of mathematics from its primitive origins to modern day mathematics. - MATH 804P - Theory of Numbers - 3 hours
- Prereq: MATH 250* or permission of instructor

Properties of integers, congruencies, primitive roots, arithmetic functions, quadratic residues, and the sum of squares. - MATH 811 - Topics in Geometry for the Secondary School Teacher - 3 hours
- Prereq: MATH 310* (or equivalent)

The course will focus on the connections between high school geometry and college-level mathematics (geometry, abstract algebra, analysis). The goal is for each student to develop "new mathematical insights and understandings." Topics include, but are not limited to, Congruence, Distance and Similarity, Trigonometry, Area and Volume, Axiomatics and Euclidean Geometry. - MATH 813P - Discrete Mathematics - 3 hours
- Prereq: MATH 115* and permission of the instructor

A study of the evolution of the number system from the naturals through the complex with emphasis on the complex. A detailed study of the topics of discrete math including counting techniques, probability, graphs, trees and relations. - MATH 815 - Topics in Discrete Mathematics for the Secondary School Teacher - 3 hours
- Prereq: MATH 250* or other proof based mathematics course

This course will provide an introduction to combinatorics and graph theory, with an emphasis on applications, as well as preparing materials and lesson plans that can be brought into the middle and secondary math classroom. - MATH 820P - Numerical Analysis - 3 hours
- Prereq: MATH 260* and MATH 305* and MATH 440* and permission of instructor

The solution of nonlinear equations, interpolation and approximation, numerical integration, matrices and system of linear equations, and numerical solution of differential equations. - MATH 830P - Middle School Mathematics - 3 hours
- Prereq: MATH 230* and MATH 330 and permission of instructor

A study of additional topics found in grades 5-9 mathematics not covered in MATH 230, MATH 330, e.g. algebra, probability, calculators, computers, and statistics. - MATH 840P - Linear Algebra - 3 hours
- Prereq: MATH 115* and permission of instructor

Study of vector spaces, linear transformations, matrices, and determinants. - MATH 841 - Topics in Abstract Algebra for Secondary School Teachers - 3 hours
- Prereq: admission into the graduate program for a Master of Arts in Education in Curriculum and Instruction

Topics include, but are not limited to, Divisibility and Euclid's Algorithm, Theorems of Euler and Fermat, Fundamental Theorem of Algebra, Groups, Cosets, Quotient Groups, Fields, Rings, Quotient Rings, Isomorphisms, Homomorphisms, and Congruences. This course is one of six required mathematics courses for the Master of Arts in Education in Curriculum and Instruction. - MATH 852 - Foundations of Calculus - 3 hours
- Prereq: MATH 115* and MATH 202* and MATH 260* and MATH 460* OR equivalent courses from other institutions

This course is a study of calculus in its historical order of development, rather than in the order usually presented in contemporary texts. This ordering of topics parallels the development of differential and integral calculus between the 17th and 19th centuries and will allow us to study the problems which motivated the development as well as understand the refinement of ideas linking historical and modern treatments. - MATH 860P - Advanced Calculus I - 3 hours
- Prereq: MATH 250* and MATH 260* and permission of instructor

A study of functions, sequences, limits, continuity, differentiation, and integration. - MATH 870P - Teaching of Secondary Mathematics - 3 hours
- Prereq: MATH 260* and permission of instructor

Recent trends in the content of the math curriculum and procedures for the improvement of teaching mathematics in the high school. - MATH 871 - Topics in Math - 3 hours
- Prereq: permission of instructor

Seminar in mathematics. The course topic varies. - MATH 895 - Independent Study in Mathematics - 1-3 hours
- Prereq: permission of instructor

Individual studies and research under the guidance of a faculty member. May be taken twice for two separate studies. - MATH 896P - Mathematics Seminar - 1 hour
- Prereq: MATH 260* and permission of instructor

Topics not included in the normal mathematics offerings are presented by the students.

5 Mar 2014

gradcat@unk.edu