**MATH 020 PreAlgebra (Cr3) (3:0)**

Review arithmetic operations on whole numbers, fractions, decimals, and integers. Introduces algebraic notation: solution of algebraic equations, inequalities, and applications. This course is intended to prepare students for MATH 022, Elementary Algebra. Also available through Online Learning.

**MATH 022 Elementary Algebra (Cr4) (4:0)**

First-year algebra after an arithmetic review. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH 020 with a C or better. Also available through Online Learning.

**MATH 026 Intermediate Algebra (Cr3) (3:0)**

This course extends algebraic properties and processes to linear, quadratic, polynomial, rational and radical expressions and equations, and applies them to real world problems. This course represents quadratic and polynomial expressions in multiple ways and makes connections among these representations. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH022 with a C or better. Also available through Online Learning.

**MATH 028 Elementary and Intermediate Algebra Combined (Cr5) (5:0)**This course combines Elementary and Intermediate Algebra in one semester. Using both real and complex numbers, topics include: solving linear, polynomial, ration, absolute value, and radical equations, inequalities, graphing functions, problem solving, solving systems of linear equations, operations using and simplifying exponents, factoring polynomials, simplifying rational and radical expressions. Appropriate competence as outlined in the Mathematics Placement policy.

**MATH 103 Applications in Mathematics (Cr3) (3:0) **Applications of mathematics emphasizing problem solving and reasoning. Core: QL (A.A.S. only). Also available through Online Learning.

**MATH 118 Foundations of Mathematics I (Cr3) (3:0)**This course consists of problem solving and inductive reasoning, sets, functions, numeration systems, integers, rational numbers, number theory, decimals, percents, real numbers and proportional reasoning. This course is based on state and national mathematics standards and is restricted to all NCC Education majors. Prereq.- Appropriate competence as outlined in the Mathematics Placement policy or MATH022 with a C or better. MATH 118 and MATH120 may not both count toward the same degree. Also available through Online Learning. Core: QL (Middle Level Education, Early Childhood Education & Special Education only).

**MATH 119 Foundations of Mathematics II (Cr3) (3:0)**This course is a continuation of MATH 118 that includes probability and statistics, elementary geometry, geometric constructions, geometric transformation, tessellations, nets, and measurement. This course is based on state and national mathematics standards and is restricted to all NCC Education majors. Prereq.- Appropriate competence as outlined in the Mathematics Placement policy or MATH022 with a C or better. MATH 119 and MATH120 may not both count toward the same degree. Also available through Online Learning. Core: QL (Middle Level Education & Early Childhood Education only).

**MATH 120 Nature of Mathematics (Cr3) (3:0)**

This course is not designed for science or business majors. Specific topics include financial literacy, number systems, estimation, unit conversions, essential statistical literacy, geometry and various problem solving. MATH118 and 120 nor MATH119 and 120 may not count for credit towards the same degree. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH022 with a C or better. Also available through Online Learning. Core: QL.

**MATH 140 College Algebra (Cr3) (3:0)**

Concepts of algebra, graphs and functions, exponential and log functions, systems of inequalities and equalities, complex numbers. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH026 or 028 either with a C or better. Also available through Online Learning. Core: QL.

**MATH 145 Trigonometry (Cr3) (3:0)**

Angles, trig functions, trig identities, solution of triangles, complex numbers. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH 140 with a C or better. Also available through Online Learning. Core: QL.

**MATH 150 Introductory Statistics (Cr3) (3:0)**This course introduces students to descriptive statistics, probability, correlation and regression, normal distribution, sampling distributions, confidence intervals, and hypothesis testing. Prereq.- Appropriate competence as outlined in the Mathematics Placement policy or MATH022 or 028 either with a C or better. Approved for the Honors Program. Also available through Online Learning. Core: QL.

**MATH 160 Pre-Calculus (Cr4) (4:0)**

This course covers topics of algebra, equations, inequalities, graphs, functions, polynomial and rational functions over the real and complex numbers, exponential and logarithmic functions, a comprehensive review of trigonometry, and some aspects of analytic geometry. Prereq.- Appropriate competence as outlined in the Mathematics Placement policy or MATH140 with a C or better. Core: QL. Also available through Online Learning.

**MATH 165 Applied Calculus (Cr3) (3:0)**

Functions, limits, derivatives and their application, integration, and application of the definite integral. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH140 with a C or better. Core: QL. Also available through Online Learning.

**MATH 175 Calculus I with Review (Part 1) (Cr4) (4:0)**

This course along with MATH 176 reviews both algebra and trigonometry throughout the study of calculus. The completion of both MATH 175 and 176 satisfies the MATH 180 requirement. Only MATH 175 and 176 or MATH180 may be applied to the degree program. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH140 with a C or better. Core: QL. Offered fall semester only.

**MATH 176 Calculus I with Review (Part 2) (Cr4) (4:0) **This course along with MATH 175 continues review of both algebra and trigonometry throughout the study of calculus. The completion of both MATH 175 and 176 satisfies the MATH 180 requirement. Only MATH 175 and 176 or MATH180 may be applied to the degree program. Prereq. - MATH 175 with C or better. Core: QL. Offered spring semester only.

**MATH 180 Calculus I (Cr4) (4:0)**

Limits of functions, derivatives, chain rule, implicit differentiation, extrema, indefinite and definite integration; Fundamental Theorem of Calculus, transcendental functions and applications. Prereq. - Appropriate competence as outlined in the Mathematics Placement policy or MATH145 or 160 either with a C or better. Also available through Online Learning. Core: QL.

**MATH 181 Calculus II (Cr4) (4:0)**

Techniques and applications of integration, L'Hopital's Rule, improper integrals, solving differential equations using separation of variables, sequences and series, conics, parametric equations and polar coordinates. Prereq. - MATH 176 or 180 either with C or better, or score of 4 or 5 on AP Calculus AB or BC test. Core: QL.

**MATH 191 Special Studies in Mathematics (Cr1) **See Statement on Special Studies. Offered on demand.

**MATH 192 Special Studies in Mathematics (Cr2) **See Statement on Special Studies. Offered on demand.

**MATH 193 Special Studies in Mathematics (Cr3)**

See Statement on Special Studies. Offered on demand.

**MATH 194 Special Studies in Mathematics (Cr4)**

See Statement on Special Studies. Offered on demand.

**MATH 202 Discrete Math (Cr3) (3:0)**

An introduction to mathematical discrete structures and algorithms will be presented. Topics include: sets, logic, proof techniques, mathematical induction, combinatorics, relations, graph and trees. Prereq. - MATH 176 or 180 either with C or better. Offered spring semester only.

**MATH 210 Calculus III (Cr4) (4:0)**

Vectors and the geometry of space, vector-valued functions, partial and directional derivatives, multiple integration, vector analysis, and Green's Theorem, the Divergence Theorem and Stokes' Theorem. Prereq. - MATH 181 with C or better. Core: QL.

**MATH 211 Differential Equations (Cr4) (4:0)**This is an introductory course to Ordinary Differential Equations (ODE), their solutions and applications. Some of the topics to study: solving differential equations by separations of variable, substitutions methods, numerical methods, exact differential equations, differential equations of higher order, linear system of differential equations, Laplace transform methods, power series, linear systems, matrices, vector space, eigenvalues and eigenvectors. Prereq. - MATH 210 with C or better. Core: QL.

**MATH 291 Special Studies in Mathematics (Cr1)**

See Statement on Special Studies. Offered on demand.

**MATH 292 Special Studies in Mathematics (Cr2)**

See Statement on Special Studies. Offered on demand.

**MATH 293 Special Studies in Mathematics (Cr3)**

See Statement on Special Studies. Offered on demand.

**MATH 294 Special Studies in Mathematics (Cr4)**

See Statement on Special Studies. Offered on demand.