MATH 105 Mathematics for Liberal Arts Students  3 sem hrs 
An introduction to the nature of mathematics and its applications in the physical world.  Topics include numerical reasoning, symbolism and algebra, geometric reasoning and measurement, the function concept, discrete mathematics and algorithms, probability and statistical reasoning, mathematical modeling, inductive and deductive arguments.  Prerequisite: MATH 10 or recommendation of the department chairperson based on mathematics assessment.    Spring

MATH 111 College Algebra  4 sem hrs 
Real number system, linear equations and inequalities, polynomials, factoring, rational expressions, functions and graphs, quadratic equations and inequalities, exponentials and logarithms, systems of linear equations, sequences, permutations and combinations. Prerequisite: Recommendation of the department chairperson based on mathematics assessment.    Fall

MATH 118 Mathematics for Elementary Teachers I  3 sem hrs 
Emphasis is on understanding of mathematics taught in elementary school using a problem solving approach and the recommendations of the Iowa Core Mathematics. Topics from basic mathematics include numeration systems, whole numbers, operations, problem solving, measurement, sequences, sets, functions, Venn diagrams, and mathematical reasoning. Prerequisite: MATH 10 or recommendation of the department chairperson based on mathematics assessment.    Fall

MATH 119 Mathematics for Elementary Teachers II  3 sem hrs 
Continued emphasis on understanding of mathematics taught in elementary school using a problem solving approach and the recommendations of the Iowa Core Mathematics. Topics include number theory, integers, fractions, decimals, rational and irrational numbers, proportions and percents, geometry, probability, and statistics. Prerequisite: MATH 118.    Spring

MATH 200 Elementary Statistics  4 sem hrs 
An introduction to the theory and applications of statistics intended for students in business, nursing, and the social sciences, but also recommended for students in the liberal arts. Topics include measures of central tendency and variability, probability distributions, confidence intervals, hypothesis testing, linear regression, correlation, analysis of variance, and nonparametric statistics. This course is not open to those in a mathematics major. Prerequisite: MATH 10 or recommendation of the department chairperson based on mathematics assessment.          Fall, Spring, Summer

MATH 217 Calculus I  4 sem hrs 
Functions and graphs, mathematical models, limits, continuity, slope of a curve, derivatives, techniques of differentiation, applications of derivatives, differentials, optimization, plane areas, antiderivatives, definite integrals, Fundamental Theorem of Calculus, and numerical integration. Includes one session per week in a computer lab. Prerequisite: Recommendation of the department chairperson based on mathematics assessment.    Fall

MATH 218 Calculus II  4 sem hrs
Applications of the definite integral, techniques of integration, numerical integration, differential equations, growth and decay models, parametric equations, vectors, polar coordinates, infinite series, power series, three-dimensional space. Includes one session per week in a computer lab. Prerequisite: MATH 217.    Spring

MATH 219 Multivariate Calculus  2 sem hrs
Vectors in space, lines and planes, quadric surfaces, vector-valued functions, curvilinear motion, functions of several variables, partial derivatives, tangent planes, optimization, multiple integrals, vector fields and line integrals.  Prerequisite: MATH 218.    Fall 2011

MATH 225 Discrete Mathematics  3 sem hrs 
Set theory, sequences, counting principles, probability, matrix algebra, relations, functions, algorithms, ordering, binary operations, Boolean algebras, graphs and trees. Prerequisite: MATH 111 or recommendation of the department chairperson based on mathematics assessment.    Fall 2011

MATH 245 Mathematical Reasoning  2 sem hrs
A bridge course to a fundamental understanding of the nature of abstract mathematics.  Topics include inductive and deductive reasoning, abstraction and generalization, valid arguments, counterexamples, conjecture and proof, methods of proof. Prerequisite: MATH 218.    Fall 2012

MATH 305 Geometry for Teachers  3 sem hrs
A survey of topics in geometry with emphasis on investigation and discovery. Topics include incidence, betweenness, angles, congruence, parallelism, geometric inequalities, transformations, and non-Euclidean geometries. Prerequisite: MATH 245.    Fall 2012

MATH 324 Statistical Methods I  3 sem hrs
Topics include probability, principles of statistical inference, inferences on a single population, and inferences on two populations.  Emphasis is placed on the understanding of basic concepts and the solution of problems using computer output from realistic data similar to that occurring in common applications. Prerequisite: MATH 111 or consent of the instructor.    Fall 2011

MATH 344 Linear Algebra  3 sem hrs
Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, basis and dimension, eigenvalues and eigenvectors, linear transformations, and applications. Prerequisite: MATH 218.    Spring 2013

MATH 350 Numerical Analysis  2 sem hrs
An introduction to numerical analysis with emphasis on numerical methods and computer solutions. Intended for students in mathematics, natural sciences, and pre-engineering. The topics covered will include Newton, Trapezoidal, and Simpson methods, Gauss quadrature, interpolation, curve-fitting, and splines. Prerequisite: MATH 218.    Spring 2013

MATH 405 Abstract Algebra  3 sem hrs
An introduction to some of the fundamental algebraic structures with emphasis on the axiomatic method. Topics include mathematical induction, equivalence relations, divisibility, congruence relations, rings, integral domains, fields, polynomial rings, factorization, groups, abelian groups, cyclic groups, permutation groups, isomorphism, cosets, quotients structures, and extension fields. Prerequisite: MATH 245.    Fall 2011

MATH 407 Mathematical Statistics  3 sem hrs
Topics include probability, calculation of moments and moment generating functions, principles of statistical inference, distributions of random variables, and derivation of statistical hypothesis tests. Emphasis is places on understanding of basic concepts, maximum likelihood estimators, minimum variance estimators, sufficient statistics, derivation of best tests, and solution of problems using computer output from realistic data similar to that occurring in common applications.  Prerequisite: MATH 218.    Fall 2012

MATH 440 Special Methods of Teaching Secondary School Mathematics  3 sem hrs
This course is designed to provide students with knowledge and experience to enable them to become effective secondary mathematics teachers.  Emphasis will be placed on instruction, curriculum design, problem solving, usage of technology, assessment, and national and state standards. Special attention will be given to the teaching of algebra and geometry.  Required field experience includes a teaching component of 20 hours.  Prerequisite: MATH 218, 225, EDUC 210, EDUC 250. TBA

MATH 275, 375, 475 Independent Study  3 sem hrs
Topics chosen from an area of mathematics of interest to the student and the instructor. Available to mathematics majors only. Prerequisite: consent of the department chairperson.    With departmental approval

MATH 490 Internship  3 sem hrs
Experience involving applications of undergraduate mathematics in an industrial or commercial setting. Open only to junior and senior mathematics majors.    With departmental approval

MATH IS Intensive Study  2 sem hrs
Independent research on an advanced topic in mathematics. Required of mathematics majors in the junior or senior year. Prerequisite: consent of instructor.    Spring 2012