Offered by Department of Mathematics and Statistics

College of Natural and Social Sciences

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

An introduction to the history of mathematics from its primitive origins to modern day mathematics. - MATH 804P - Theory of Numbers - 3 hours
- Prereq: MATH 202*

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) and admission into the graduate program for a Curriculum and Instruction Master of Arts in Education Degree, Secondary Education Concentration with Mathematics Emphasis OR permission from the instructor

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. We will cover parts of chapters 1 and 7-11 in the text. - MATH 813P - Discrete Mathematics - 3 hours
- Prereq: MATH 115* or
MATH 123*

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 814P - Theory of Compound Interest - 3 hours
- Prereq: MATH 115* or
MATH 123*

A study of the forces of interest, accumulated values, present value factors, annuities, certain amortization schedules, sinking funds, bonds, and securities. - 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 real-world 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* or 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*

A study of additional topics found in 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* or
MATH 123*

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 260*

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

Recent trends in the content of the math curriculum and of procedures for the improvement of teaching mathematics in the high school. - MATH 871 - Topics in Math - 3 hours
- A workshop for teachers of mathematics which investigates the various topics of mathematics and their places in the curriculum.
- MATH 890P - Special Topics in Mathematics - 1-3 hours
- Topics chosen from the areas of mathematics appropriate to the student's program and will involve both formal lectures and independent study.
- MATH 891P - Expanded Campus Workshop - 1-3 hours
- Selected contemporary topics in mathematics are covered.
- MATH 895 - Independent Study in Mathematics - 1-6 hours
- Prereq: background needed for proposed problem

Independent investigation of topics of mathematics appropriate to the student's program. - MATH 896P - Mathematics Seminar - 1 hour
- Prereq: MATH 260* or permission

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

12 Jun 2012

gradcat@unk.edu