Offered by Department of
Mathematics and Statistics

College of Natural and Social Sciences

**MATH 090 - Elementary Algebra - 3 hours**- Prereq: none

Placement: ACT ≤ 16**

This course deals with elementary concepts of algebra which are usually taught at the 9th grade level. Emphasis is placed on developing functional competence in the several areas of algebra which are covered, and the content includes some practical applications. Not a General Studies course. Credit will not count toward any UNK degree. **MATH 101 - Intermediate Algebra - 3 hours**- Prereq: MATH 090

Placement: 17 ≤ ACT ≤ 19** and 1 year of high school algebra

The course which includes a study of the properties of real numbers, polynomials, fundamental operations, factoring, exponents, and radicals, linear and quadratic equations, and other selected topics, all of which are necessary for the study of college algebra. Not a General Studies course. **MATH 102 - College Algebra - 3 hours**- Prereq: MATH 101

Placement: ACT ≥ 20** and 2 years of high school algebra

A college level algebra course which includes a study of linear equations and inequalities, relations and functions, graphing of linear and quadratic functions, polynomial and rational functions, logarithmic and exponential functions, systems of equations, matrices, sequences and series, and other selected topics all of which are necessary for the study of calculus. **MATH 102L - College Algebra Laboratory - 1 hour**- Prereq: MATH 101

The lab provides the students with small group and cooperative learning experiences as well as the opportunity for additional problem and solutions experiences in a structural learning environment. **MATH 103 - Plane Trigonometry - 3 hours**- Prereq: MATH 102

Placement: ACT ≥ 22** and 2 years of high school algebra

Study of trigonometric functions. **MATH 106 - Mathematical Concepts - 3 hours**- Prereq: MATH 101

Placement: ACT ≥ 17** and 2 years of high school algebra

An enrichment course investigating the structure, aesthetics and philosophy of mathematics and its cultural relevance. **MATH 115 - Calculus I with Analytical Geometry - 5 hours**- Prereq: MATH 102, MATH 103
- Placement: ACT ≥ 23** and 4 years of high
school mathematics including 2 years of algebra, 1 year of geometry, and a senior level
pre-calculus course.

Limits and continuity, differentiation of algebraic and trigonometric functions, elementary integration (with applications) of algebraic and trigonometric functions. **MATH 120 - Finite Mathematics - 3 hours**- Prereq: MATH 102

Placement: ACT ≥ 22 and 2 years of high school algebra

An introduction to modern mathematical concepts, with applications. Includes logic, set theory, probability, vectors, matrices, linear programming, and game theory. **MATH 123 - Applied Calculus I - 3 hours**- Prereq: MATH 102

Placement: ACT ≥ 22** and 4 years of high school mathematics including 2 years of algebra, 1 year of geometry, and a senior level pre-calculus course.

The concepts of calculus with emphasis on applications to the areas of business, biology, economics, and the social and behavioral sciences. Credit cannot be received for both MATH 115 and 123. **MATH 202 - Calculus II with Analytic Geometry - 5 hours**- Prereq: MATH 115*

Placement: ACT ≥ 25** and 1 year of high school calculus

A continuation of Math 115 including the differentiation and integration of transcendental functions, methods of formal integration with applications, series. **MATH 230 - Math for Elementary Teachers I - 3 hours**- Prereq: MATH 102

Placement: 4 years of high school mathematics including 2 years of algebra, 1 year of geometry, and a senior level math course. The ACT Math Subscore is not used for placement in this course.

Numeration, sets, relations, bases, and a detailed development of the number system from an elementary school point of view. **MATH 250 - Foundations of Math - 3 hours**- Prereq: MATH 115* or MATH
123*

Topics of sets and symbolic logic are studied with the objective of using them in the detailed study of the nature of different types of proofs used in mathematics. Also, the processes of problem solving are studied for developing strategies of problem solving. **MATH 260 - Calculus III - 5 hours**- Prereq: MATH 202* or equivalent preparation

A continuation of 202. Vector calculus, partial derivatives and multiple integrals. **MATH 305 - Differential Equations - 3 hours**- Prereq: MATH 260*

Methods of solution and applications of common types of differential equations. **MATH 310 - College Geometry - 3 hours**- Prereq: MATH 250*

Mathematical systems and re-examination of Euclidean geometry from an advanced viewpoint. **MATH 330 - Math for Elementary Teachers II - 3 hours**- Prereq: MATH 230

Algebraic and geometric topics as related to elementary mathematics. **MATH 350 - Abstract Algebra - 3 hours**- Prereq: MATH 250* or permission

An introduction to modern algebra, including a brief study of groups, rings, integral domains and fields. **MATH 399 - Internship - 1-4 hours**- Prereq: none

On the job experience designed to complement the major. Internship experiences are available only in selected areas. Consult with the departmental advisor. MATH 399 is a credit/no credit course. **MATH 400/800P - History of Mathematics - 3 hours**- Prereq: MATH 115*

An introduction to the history of mathematics from its primitive origins to modern-day mathematics. **MATH 404/804P - Theory of Numbers - 3 hours**- Prereq: MATH 250* or permission

Properties of integers, congruencies, primitive roots, arithmetic functions, quadratic residues, and the sum of squares. **MATH 413/813P - Discrete Mathematics - 3 hours**- Prereq: MATH 250*

A study of the evolution of the number systems from the naturals through the complex with emphasis on the complex. A detail study of the topics of discrete math including counting techniques, probability, graphs, trees and relations. **MATH 414/814P - 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 420/820P - 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 430/830P - Middle School Mathematics - 3 hours**- Prereq: MATH 102*
or permission
**Comment: Should get confirmation via email from Lutfi**

A study of additional topics found in grades 5-9 mathematics not covered in MATH 230, 330, e.g. algebra, probability, calculators, computer and statistics. **MATH 440/840P - Linear Algebra - 3 hours**- Prereq: MATH 260*

Vector spaces, linear transformations, matrices, and determinants. **MATH 460/860P - Advanced Calculus I - 3 hours**- Prereq: MATH 250*, MATH
260*

Functions, sequences, limits, continuity, differentiation and integration. **MATH 470 - Teaching of Secondary Mathematics - 3 hours**- Prereq: MATH 260* or permission of
instructor, admission to Teacher Education

Recent trends in the content of the mathematics curriculum and of procedures for the improvement of teaching mathematics in the high school. **MATH 481/881P - Math of Life Contingencies I - 3 hours**- Prereq: MATH 414*, STAT 441*

A study of survival distributions, life tables, life insurance, life annuities, net premiums, net premiums, net premium reserves for the purpose of determining rates to be charged. **MATH 482/882P - Math of Life Contingencies II - 3 hours**- Prereq: MATH 481*

A study of multiple life functions, with the applications of contingency mathematics in the areas of life and health insurance, annuities and pensions from both probabilistic and deterministic approaches. Offered occasionally, as the need arises. **MATH 490 - Special Topics in Mathematics - 1-3 hours**- Prereq: none

Topics chosen from the areas of mathematics appropriate to the student's program and will involve both formal lectures and independent study. **MATH 495 - Independent Study in Mathematics - 1-3 hours**- Prereq: MATH 260* or permission

An individual investigation by the student of topics not included in the normal mathematics offerings. **MATH 496/896P - Mathematics Seminar - 1 hour**- Prereq: MATH 260* or permission

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

* This course is the immediate prerequisite. Other preparation is
required prior to this immediate prerequisite.

** ACT refers to the ACT Math Subscore. The indicated range of ACT Math
Subscores was current at the time of printing of this catalog.
Consult the Math Department for more current information.

*
02 Jun 2006
ugradcatalog@unk.edu*