**Course Descriptions**

## MATHEMATICS (MA)

**MA 100 Quantitative Reasoning and Mathematical Skills (3)**

A study of various topics including an introduction to sets, logic, number systems, basic skills in algebra and geometry, consumer mathematics, probability and statistics, with an emphasis on problem solving, quantitative and logical thinking. This course fulfills the Track A general education requirement in mathematics. The course is intended as a terminal course and is not a prerequisite for any other course in mathematics. Offered every semester.

**MA 102 Introductory Algebra (3)**

Introductory algebra. Real numbers and their basic properties, polynomials, factoring, rational expressions, simple radicals expressions, square roots and cube roots, lines and linear equations, inequalities, systems of linear equations, and applications of equations (word problems). Credits not applicable towards the general education requirement in mathematics for any degree.

**MA 103 College Algebra (3)**

Algebra knowledge and skills for college studies: Sets and real number system; exponents and polynomials, rational and radical equations, and systems of equations; introductions to analytic geometry and functions; exponential and logarithmic functions; the binomial theorem and integer functions. Fulfills Track B general education requirement in mathematics. MA 103 may be used as a preparative course for the pre-calculus/calculus sequence required for degrees with upper division math requirements, such as biology, forensic sciences and biochemistry. Not open to students with credits in MA 110, MA 210, or other higher numbered mathematics courses. Offered every semester. Prerequisites: MA 102 or placement.

**MA 104 College Algebra for the Calculus Sequence (3)**

Algebra knowledge and skills for college studies: Sets and real number system; exponents and polynomials, rational and radical equations, and systems of equations; introductions to analytic geometry and functions; exponential and logarithmic functions; the binomial theorem and integer functions. Preparative course for the pre-calculus/calculus sequence required for degrees with upper division math requirements, such as biology, chemistry, data science, forensic sciences and biochemistry. Restricted to students intending a science major (biology, chemistry, biochemistry, data science, forensic science) but may be used to fulfill Track B if a student changes major out of a science major after taking the course. Not open to students with credits in MA 110, MA 210, or other higher numbered mathematics courses. Offered every semester. Prerequisites: none, placement applies. MA102 may be required depending on placement and prior math courses.

**MA 105 Math for Elementary Teachers I (3)**

Provides a foundation for prospective early childhood and elementary education majors with pre-K to 8 mathematics. Guided by NCTM Standards and through the study of concepts and properties of number systems; the four fundamental operations of arithmetic; the basic knowledge in data, the student will be able to undertake further study in mathematics education. Offered every semester. This course fulfills Track C general education requirement in mathematics for Early Childhood Education and Elementary Education majors.

**MA 107 Algebra for Health Care Professionals (3)**

Algebra for Health Care Professionals is a required course for all nursing majors. This is a college-algebra based course that also promotes math competency to prevent errors in a variety of calculations used in nursing. The Quality and Safety Education for Nurses (QSEN) competency of patient safety is addressed through application of algebraic operations that include calculations used in nursing, such as solution/dosage preparations and healthcare facilities/inventories management. Credits cannot be transferred in to meet this mathematics requirement. Fulfills Track E general education requirement in mathematics. Prerequisites: MA 102 or placement. Restricted to students accepted in the CUH Nursing major.

**MA 110 Pre-Calculus (3)**

Foundation for further study in mathematics. Primarily the preparatory course for MA 210. Topics include polynomials in general, functions and inverse functions, functions and graphs, exponential and logarithmic functions, trigonometric functions and their inverses, the binomial theorem, mathematical induction, all complex numbers. Not open to students with credit in MA 210 or higher courses. Offered every semester. Prerequisites: MA 103 or placement.

**MA 210 Calculus I (4)**

The first course in the calculus sequence. Topics include limits, differentiation and integration of single variable functions including polynomials, rational powers, and trigonometric functions, the mean value theorem, and the fundamental theorem of calculus. Both concepts and techniques as well as application will be stressed. Fulfills Track D general education requirement in mathematics. Offered every semester. Prerequisites: MA 110 or equivalent or placement.

**MA 211 Calculus II (4)**

Continuation of MA 210. Differentiation and integration of transcendental functions including exponential, logarithmic, and inverse trigonometric functions, and more techniques of integration make up the first part of the course. The second part covers topics in sequences and series, limits of sequences, Lâ€™ Hopitalâ€™s rule, convergence and divergence of series, Taylor series, and general discussion of power series. Offered every semester. Prerequisites: MA 210 or equivalent or placement.

*English 102 and Communication 101 are prerequisites for all upper division courses.*

**MA 301 Number Theory (3)**

Congruences, divisibility and primes, quadratic reciprocity, quadratic residues, the Legendre and Jacobi symbols, elementary number theoretic functions, Diophantine equations, and recurrence functions. Prerequisites: MA 105 or MA 110 or equivalent. Recommended for secondary mathematics education program.

**MA 304 College Geometry (3)**

Fulfills the Hawaii Teachers Standards Board requirement for a Geometry course, as required for secondary licensure. Includes the use of basic geometry skills as tools in solving real-world problems. Topics will include: lines and angles, reasoning and proof, parallel and perpendicular lines, congruent triangles, relationships in triangles, proportions and similarities, right triangles and trigonometry, quadrilaterals, transformations, circles, areas of polygons and circles, surface area and volume.

**MA 305 Mathematics for Elementary Teachers II (3)**

This course provides prospective elementary education majors with a deeper and more comprehensive understanding of the fundamental concepts underlying the mathematics taught in grades K through 8. Guided by NCTM Principles and Standards, this course focuses on the big ideas of geometry, measurement, data analysis, and probability and statistics. This course fulfills an upper division elective requirement in mathematics for Elementary Education majors. Prerequisites: MA 105.

**MA 308 Discrete Mathematics (3)**

Symbolic logic, sets and relations, algorithms, mathematical induction, counting techniques in combinatorics, recurrence relations, trees and other graphs, and other topics. Recommended for secondary mathematics education and computer and information science programs. Offered annually. Prerequisites: MA 110 or equivalent.

**MA 311 Calculus III (4)**

Calculus of functions of several variables. Polar coordinates, parametric equations, vectors and vector calculus, plane and space curves, partial derivatives, directional derivatives and gradients, extreme values and second-partials test, double and triple integrals, cylindrical and spherical coordinates, and Greenâ€™s Stokeâ€™s theorems. Offered annually. Prerequisites: MA 211 or equivalent.

**MA 331 Introduction to Probability and Statistics (3)**

Samples space, random variables, classical distributions, the central limit theorem, estimation, testing of hypotheses for parameters, the first and second kinds of errors, correlations, regressions, and analysis of variance. Offered annually. Prerequisites: MA 110 or equivalent or placement.

**MA 401 Linear Algebra (3)**

Matrices, elementary row operations, vector spaces, linear transformations, determinants, applications to system of linear equations, bases and orthonormal bases, eigenvalues, and eigenvectors. Offered annually. Prerequisites: MA 110 or equivalent.

**MA 480 Special Topics in Mathematics (3)**

Special topics in mathematics for advanced undergraduate students. Offered according to demand. Prerequisite: MA 211.

**MA 490 Mathematics Seminar (1)**

Contemporary and research topics in mathematics. Offered according to demand. Prerequisite: MA 211 or consent of instructor.