# Mathematics (M)

CUW Mathematics offers a broad overview of mathematics including calculus, linear algebra/differential equations, geometry, abstract algebra, and real analysis along with a core liberal arts curriculum. Students will enjoy small classes with a strong Christian worldview. Many students choose a complimentary major or minor such as Secondary Education, Business, or Computer Science to enhance their educational experience. Possible career opportunities include: statistician, business consultant, financial or securities analyst, actuary, and scientific researcher.

## Mathematics

**MATH 094. Math Concepts for Elem Tchrs 1. (1 Credit)**

**MATH 095. Math Concepts for Elem Tchrs 2. (1 Credit)**

**MATH 096. Math Concepts for Elem Tchrs 3. (1 Credit)**

**MATH 101. Beginning Algebra. (3 Credits)**

remedial course. Students learn fundamental concepts involving sets, whole numbers, integers, rational numbers, and irrational numbers. Students learn to use basic operations to solve problems. 3 credits.

*Prerequisite: None*

**MATH 119. Number Sense: Teaching Pre K-9. (3 Credits)**

is the first course in a two-course sequence that presents an integrated approach to mathematics content and methods appropriate for early childhood, elementary, and middle school pre-service teachers. Emphasis is on constructing knowledge through problem solving, communication, reasoning, connecting mathematical ideas, representation, and generalization. Pre-service teachers will develop their conceptual understanding of ‘‘number’’. Specific number sense topics include numeration systems, number theory, concepts of numbers and operations (whole numbers, integers, fractions, decimals, percents, and ratios), estimation, and proportional reasoning. Preservice teachers will invent strategies to solve computations. 3 credits.

*Prerequisite: None*

Offered at: CUAA, CUW

**MATH 120. Data & Space:Teaching Pre K-9. (3 Credits)**

is the second course in a two-course sequence that presents an integrated approach to mathematics content and methods appropriate for early childhood, elementary, and middle school pre-service teachers. Emphasis is on constructing knowledge through problem solving, communication, reasoning, connecting mathematical ideas, representation, and generalization. Pre-service teachers will develop their conceptual understanding of ‘‘uncertainty’’ and ‘‘geometry’’. Topics include collecting, representing and analyzing data; concepts of chance; strategies for determining probability of events; functions; properties of 2-D and 3-D figures; transformations, similarity and symmetries; measurement systems; perimeter, area, volume, and surface area; and topology. 3 credits.

*Prerequisites: MATH 119.*

Offered at: CUAA, CUW

**MATH 121. Intermediate Algebra. (3 Credits)**

continues the study of algebra combining previously acquired algebraic knowledge with new topics. Content includes: real numbers, exponents, polynomials, linear equations, quadratic equations, systems of equations, functions, graphing, rational expressions, and determinants. 3 credits.

*Prerequisites: One year of college preparatory algebra in high school or equivalent.*

Offered at: MID

**MATH 125. Contemporary Math. (3 Credits)**

studies problem solving, structure and properties of the real number systems, number theory, principles of descriptive and inferential statistics, probability and geometry topics. Emphasis is on application to real life situations. 3 credits.

*Prerequisites: One year of high school college preparatory algebra and one year of geometry or MATH 121.*

Offered at: CUAA, CUW, OL

**MATH 128. College Algebra. (3 Credits)**

studies linear, quadratic, polynomial, exponential and logarithmic functions and their graphs, asymptotes and endbehavior of functions, inverse functions, theory of numbers, complex numbers, and applications of these. 3 credits.

*Prerequisites: Two years of high school college preparatory algebra and one year of geometry or MATH 121.*

Offered at: CUAA, CUW, OL

**MATH 130. Basics of Statistics. (3 Credits)**

studies the basic methods of sampling and interpreting data probability, the normal distribution, correlation, hypothesis testing and confidence intervals. For B.S.N. Completion students only. 3 credits.

*Prerequisites: Three years of high school college preparatory mathematics or MATH 121.*

Offered at: OL

**MATH 150. Trigonometry. (3 Credits)**

provides the essential elements of trigonometry, particularly emphasizing the trigonometric functions. 3 credits.

Offered at: CUAA, CUW

**MATH 176. Finite Math. (3 Credits)**

studies systems of equations, matrices, systems of inequalities, linear programming, mathematics of finance, combinatorics and elementary probability theory. Applications are chosen from business, life sciences, and social sciences. 3 credits.

*Prerequisites: Three years of college preparatory high school mathematics or MATH 128.*

**MATH 197. Applied Calculus. (3 Credits)**

studies the basic concepts of differential and integral calculus including limits, continuity, differentiation, and integration of real valued functions. Applications are chosen from business, life sciences, and social sciences. 3 credits.

*Prerequisites: MATH 128, or 4 years of high school college preparatory mathematics.*

Offered at: CUW

**MATH 201. Calculus I. (4 Credits)**

studies limits, continuity and differentiation of real valued functions as well as their applications. Integration of functions and their applications are also discussed. 4 credits.

*Prerequisites: four years high school mathematics or MATH 128 and MATH 150.*

Offered at: CUAA, CUW

**MATH 202. Calculus II. (4 Credits)**

studies analytic geometry, integration and differentiation of the trigonometric and logarithmic functions. Techniques of integration, improper integrals, and differential equations are also discussed. 4 credits.

*Prerequisites: MATH 201.*

Offered at: CUAA, CUW

**MATH 203. Calculus III. (4 Credits)**

studies sequences and series, vectors and vector-valued functions, differential equations, partial derivatives, and multiple integration with applications. 4 credits.

*Prerequisites: MATH 202.*

Offered at: CUAA, CUW

**MATH 205. Statistics I. (3 Credits)**

studies the basic methods of sampling and interpreting data, probability, the normal distribution, correlation, hypothesis testing and confidence intervals. 3 credits.

*Prerequisites: Three years of high school college preparatory mathematics or MATH 121.*

Offered at: CUAA, CUW

**MATH 220. Discrete Math. (3 Credits)**

studies the topics of sets, proof, boolean algebra, logic, induction, combinatorics, graph theory, functions, and algorithms. 3 credits.

*Prerequisites: MATH 201 or MATH 197 or equivalent.*

Offered at: CUAA, CUW

**MATH 305. Statistics II. (3 Credits)**

is a course designed to continue the student’s background in probability and statistics. Students examine ANOVA, two sample tests, regression and multiple regression, non-parametric statistics, and the Chi-square distribution. 3 credits.

*Prerequisites: MATH 197 or MATH 201 and MATH 205.*

Offered at: CUW

**MATH 313. Math in the Middle School. (3 Credits)**

Offered at: CUW

**MATH 321. Abstract Algebra. (3 Credits)**

is a study of sets, mappings, operations, relations, partitions, and the basic algebraic structures; groups, rings, integral domains, fields, and vector spaces. 3 credits.

*Prerequisites: MATH 202.*

Offered at: CUAA, CUW

**MATH 322. Probability for Actuaries. (3 Credits)**

studies general probability theory, univariate probability distributions, multivariate probability distributions including conditional and marginal. 3 credit hours.

*Prerequisites: MATH 205 and MATH 203.*

Offered at: CUW

**MATH 325. Linear Algebra and Differential Equations. (4 Credits)**

studies elementary linear algebra, including matrices and determinants, vector spaces, linear transformations, solutions of linear systems, and differential equations including series of equations. 4 credits.

*Prerequisites: MATH 203.*

Offered at: CUAA, CUW

**MATH 331. Geometry. (3 Credits)**

is a study of postulational development of Euclidean and non-Euclidean geometries. 3 credits.

*Prerequisites: MATH 202 or departmental approval.*

Offered at: CUW

**MATH 341. Differential Equations. (3 Credits)**

**MATH 400. Math Internship. (1-6 Credits)**

Offered at: CUW

**MATH 441. Real Analysis. (3 Credits)**

studies differentiation, topology of the real line and metric spaces; theory of the integral, and convergence of series and sequences. 3 credits.

*Prerequisites: MATH 203.*

Offered at: CUAA, CUW

**MATH 461. Probability & Statistics. (3 Credits)**

**MATH 490. Math Senior Seminar. (3 Credits)**

is a culminating undergraduate experience in mathematics. It provides an opportunity for student to work with a specific topic from the spectrum of mathematical knowledge. An individual research project will be required. 3 credits.

*Prerequisites: Senior standing and at least 24 credits in mathematics courses.*

Offered at: CUW