Mathematics

Students will explore mathematical ideas and logical reasoning. This class will look at mathematical applications in life which may include topics such as statistics, fair voting schemes, prime numbers, and modular arithmetic. Students will also develop their own insights and theorems through the exploration of mathematical patterns. The content of the class may vary each semester. The course satisfies the NNU Core Curriculum mathematics proficiency requirement. The course is designed for non-science majors. Students need to verify they have the prerequisites the first day of class.

This course covers solving linear equations, including those with absolute values, as well as graphing and its various applications. Additional topics will include polynomial functions, focusing on their zeroes, division of polynomials, composition functions, complex numbers, and fundamental theorem of algebra. Graphing and solving problems involving logarithms and exponents will also be covered. This course prepares students to take MATH1400 and MATH2510.

This course covers trigonometric identities, trigonometric equations, and the laws of sines and cosines. Additional topics include finding the area of triangles and an introduction to complex numbers.  This course prepares students to take MATH2510. 

Includes probability and statistics, basic geometric concepts and measurement, constructions, congruence, Euclidean & Transformational Geometry. Laboratory activities are included.

Emphasis on graphical and numerical descriptions of data, analyzing relationships between categorical variables, constructing and interpreting confidence intervals. Core topics include hypothesis testing, linear regression, and correlation, as well as an introduction to probability theory.

This course introduces base representations of integers, concepts of divisibility, primes, and decomposition, and set theory. Topics also include modular arithmetic, an introduction to combinatorics, graph theory (network theory), and basic proof writing.

The computation and application of derivatives, including those involving trigonometric functions, exponents, and logarithms. Practical applications of derivatives, such as optimization and motion problems, will be covered. Integrals and the relationship between a function, its derivative, and its antiderivative.

This course covers applications of the integral and various techniques of integration. Additional topics include polar coordinates, the convergence of sequences and series, and Taylor series.

The computation and application of derivatives, including those involving trigonometric functions, exponents, and logarithms. Practical applications of derivatives, such as optimization and motion problems, will be covered. Integrals and the relationship between a function, its derivative, and its antiderivative.

This course covers applications of the integral and various techniques of integration. Additional topics include polar coordinates, the convergence of sequences and series, and Taylor series.

This course covers sample spaces and probability, discrete random variables, general random variables, and limit theorems.

This course covers transforms, Bernoulli & Poisson processes, and Bayesian Statistical Inference.

Continues into probability with classical statistical inference, Markov chains, and derived distributions.

This course covers linear programming, network analysis, queuing theory, and simulation techniques.

This course covers systems of linear equations, matrix operations, linear transformations, determinant, change of basis, eigenvectors/eigenvalues, and orthogonality. Topics also include inverse, rank, nullity, Cramer's Rule, diagonalization, and least-squares.

This course covers systems of linear equations, matrix operations, and linear transformations.  Topics also include inverse, basis, rank, and nullity. 

This course covers determinant and change of basis.  Topics also include Cramer's Rule.

This course covers eigenvectors/eigenvalues, and orthogonality.  Topics also include diagonalization and least squares.

This course focuses on Euclidean planes, covering axioms and theorems, and the structure of mathematical proofs. Non-Euclidean geometries will also be introduced.

This course covers multivariable limits, the Jacobian derivative, and changing the order of integration. Topics also include change of variables, parametric curves, and scalar/vector integrals for curves, surfaces, and solids. The course concludes with Gauss’, Green’s, & Stoke’s Theorem.

This course focuses on solving linear differential equations, series methods, and exact equations using integrating factors. Topics also include Picard's method of successive approximations and the Laplace transform.

This course covers floating-point representation and errors, locating roots of equations, polynomial interpolation, and numerical differentiation and integration. Additional topics include differential equations, splines, least squares, and Monte Carlo methods and simulation.

This course explores strategies for teaching math in secondary schools. A major focus of the class will be moving secondary students through enactive, iconic, and symbolic representation for concepts in the five major areas of math: algebra, functions, geometry, statistics/probability, and number/quantity. Other topics will include standards alignment, technology integration, and assessment. Field experience: 20-40 hours. (See EDUC3571.)

This course focuses on number theory, including integers, rings, and fields.

This course continues into abstract algebra including content on ideals groups, and Euclidean geometry.

This course covers cardinality, sequences, series, and topology.

This course focuses on proofs of calculus including continuity, differentiation, integration, sequences and series of functions.