## Courses: Mathematics

MATHEMATICS (MATH)

**Course descriptions from the 2017-2018 Catalog.**

MATH 75 Introduction to Mathematical Reasoning (3)

MATH 75 prepares students for MATH 100, MATH 100C, MATH 111, and MATH 115. Course topics include ratio and percent, unit conversion, graphs, data interpretation, basic algebra, solving linear equations, and working with formulas with special emphasis on pattern recognition and problem solving.

Rec Prep: English and math skills at the High School Common Core Level.

MATH 78 College Math Companion (1)

MATH 78 provides students concurrently enrolled in MATH 100, MATH 100C, MATH 111, or MATH 115 with Just-In-Time support with special emphasis on pattern recognition and problem solving. Course topics are tailored to the concurrent course and may include ratio and percent, unit conversion, graphs, data interpretation, basic algebra, solving linear equations, and working with formulas.

Prerequisite: Either of the following, or an articulated equivalent, within the past two years: CR in MATH 22 OR appropriate math placement.

Corequisite: MATH 100, MATH 100C, MATH 111 or MATH 115

MATH 82 Algebraic Foundations (4)

MATH 82 covers elementary algebra topics. Topics include linear equations and inequalities, graphing, linear systems, properties of exponents, operations on polynomials, factoring, rational and radical expressions and equations, quadratic equations, and applications.

Prerequisite: Either of the following, or an articulated equivalent, within the past two years: CR in MATH 22 OR appropriate math placement.

MATH 88 College Algebra Companion (2)

MATH 88 provides students with supplemental algebra instruction that directly supports the topics covered in MATH 103 (College Algebra). Course topics are tailored to MATH 103 and may include linear equations and inequalities, graphing, linear systems, properties of exponents, operations on polynomials, factoring, rational and radical expressions and equations, quadratic equations, and applications.

Prerequisite: Appropriate math placement within the past two years.

Corequisite: MATH 103

MATH 100 Survey of Mathematics (3)

MATH 100 includes a variety of selected mathematical topics designed to acquaint students with examples of mathematical literacy and quantitative reasoning that demonstrate the usefulness of quantitative reasoning. The core course content includes deductive, numeric, symbolic, graphical and statistical algorithms and reasoning. MATH 100 is not intended as, and does not qualify as, a prerequisite for advanced mathematics courses. (FS)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: C or better (or CR) in MATH 75, OR C or better (or CR) in MATH 82, OR appropriate placement, OR concurrent enrollment in MATH 78.

Rec Prep: English and math skills at High School Common Core levels.

MATH 100C Survey of Math Culinary Arts (3)

MATH 100C includes a variety of selected mathematical topics designed to acquaint students with examples of mathematical and quantitative reasoning that demonstrate the beauty, power, clarity, and precision of mathematics. The core course content includes deductive, numeric, symbolic, graphical and statistical algorithms and reasoning with culinary arts application problems. MATH 100C is not intended as, and does not qualify as, a prerequisite for advanced mathematics courses. This course is for culinary arts certificate or degree programs. (A student cannot earn credit for both MATH 100 and MATH 100C.) (FS)

Prerequisite: Either of the following, or articulated equivalent, within the past two years: C or better (or CR) in MATH 75, OR C or better (or CR) in MATH 82, OR appropriate placement, OR concurrent enrollment in MATH 78.

MATH 103 College Algebra (3)

Functions, graphs and their properties are studied by generalizing and interpreting techniques initially introduced in elementary algebra. Simplification techniques are used to define, simplify, and derive elementary properties of linear, quadratic, rational, exponential and logarithmic functions. Equation, system and inequality solving techniques are used to determine the domain and range and analyze the nature of the roots and intersection points of functions and graphs. Quantitative interpretation and practical application of functions and graphs are included throughout the course. (FS)

Prerequisite: Any ONE of the following, or an articulated equivalent, completed within the past two years: C or better (or CR) in MATH 82, OR appropriate placement, OR concurrent enrollment in MATH 88.

MATH 111 Math for Elementary Teachers I (3)

MATH 111 is the first of a year-long sequence (MATH 111 - MATH 112) designed to provide a rigorous background in mathematical concepts and reasoning for students intending careers in elementary education. The emphasis is on understanding, representing and communicating mathematical ideas, problem solving and reasoning, and constructing and writing elementary proofs. Topics covered over the year include operations (both standard and nonstandard arithmetic) and their properties, ordered n-tuples and their practical applications, set theory, counting, introduction to measurement, patterns and algebra. It is recommended that students needing both MATH 111 and MATH 112 take the courses in sequential semesters and from the same institution.

Prerequisite: C or better in ENG 22 or ENG 24 or equivalent; and EITHER of the following within the past two years: C or better (or CR) in MATH 75, OR appropriate placement.

MATH 112 Math for Elementary Teachers II (3)

MATH 112 is the second of a year-long sequence

(MATH 111–MATH 112) designed to provide a rigorous background in mathematical concepts and reasoning for students intending careers in elementary education. The emphasis is on understanding, representing and communicating mathematical ideas, problem solving and reasoning, and constructing and writing elementary proofs. Topics covered over the year include operations (both standard and nonstandard arithmetic) and their properties, ordered n-tuples and their practical applications, set theory, counting, introduction to measurement, patterns and algebra. It is recommended that students needing both MATH 111 and MATH 112 take the courses in sequential semesters and from the same institution. (FS)

Prerequisite: MATH 111 with C or better, completed within the past two years.

MATH 115 Introduction to Statistics and Probability (3)

MATH 115 utilizes basic statistical topics including measures of central tendency and dispersion, classification of variables, sampling techniques, elementary probability, normal and binomial probability distributions, tests of hypothesis, linear regression and correlation in order to solve problems. (FS)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: C or better (or CR) in MATH 75, OR C or better (or CR) in MATH 82, OR appropriate placement, OR concurrent enrollment in MATH 78.

Rec Prep: English skills at the high school Common Core level.

MATH 135 Pre-Calculus: Elementary Functions (3)

MATH 135 investigates linear, quadratic, polynomial, rational, exponential, logarithmic functions, and related topics. Quantitative interpretation and practical application of functions and graphs are included throughout the course. The course is the first part of the precalculus sequence. (FS)

Prerequisite: MATH 103 with a C or higher or appropriate placement test score.

MATH 140 Pre-Calculus: Trigonometry

and Analytic Geometry (3)

MATH 140 studies trigonometric functions, analytic geometry, polar coordinates, vectors, and related topics. This course is the second part of the pre-calculus sequence.(FS)

Prerequisite: MATH 135 with a C or higher OR qualified placement test score.

MATH 140X Accelerated Pre-Calculus: Elementary Functions, Trigonometry, & Analytic Geometry (4)

MATH 140X is designed to provide an accelerated path to Calculus to students who have a strong background in College Algebra. Topics include the essential pre-calculus skills needed for success in calculus: functions, with special attention to polynomial, rational, exponential, logarithmic, and trigonometric functions; plane trigonometry; polar coordinates; and conic sections. Credit may not be earned for both MATH 140 and MATH 140X. (FS)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: A grade of A in MATH 103 OR C in MATH 135 OR qualified placement test score OR "well prepared" designation in the Algebra II End-Of-Course exam OR instructor consent.

MATH 203 Calculus For Business and Social Sciences (4)

MATH 203 introduces and develops the basic calculus concepts and techniques, which include limits, derivatives, curve sketching, integration, and partial derivatives. These concepts and techniques are used to analyze and solve problems with an emphasis on applications commonly encountered in business management and the social sciences. (FS)

Prerequisite: C or better in MATH 135, OR C or better in MATH 140, OR C or better in MATH 140X, OR qualifying placement test score.

MATH 205 Calculus I (4)

Introduces and develops basic calculus concepts and procedures: limits, continuity, derivatives, and an introduction to integration of single-variable algebraic and trigonometric functions. Derivations of algorithms and formulas, and proofs of important theorems, are included. Applications of differentiation and integration are introduced to bridge theory and practice. (FS)

Prerequisite: Any one of the following, or articulated equivalent, within the past two years: C or better in MATH 140, OR C or better in MATH 140X, OR qualified placement test score.

MATH 206 Calculus II (4)

Second course in the calculus sequence. The course extends differentiation and integration to single-variable inverse trigonometric, logarithmic, and exponential functions. Topics include techniques of integration, convergence of improper integrals, sequences and series, Power and Taylor series representations of functions, and an introduction to differential equations.

Prerequisite: C or better in MATH 205, or articulated equivalent, within the past two years.

MATH 231 Calculus III (3)

MATH 231 covers vector algebra, vector-valued functions, differentiation of functions of several variables, and optimization.

Prerequisite: C or better in MATH 206 (numbered MATH 242 at UH Mānoa and UH–West O'ahu), or articulated equivalent, within the past two years.

MATH 232 Calculus IV (3)

Math 232 is the fourth course in the calculus sequence. Topics include multiple integrals, line integrals, Green's Theorem, surface integrals, Stokes' Theorem, and Gauss's Theorem.

Prerequisite: C or better in MATH 231 or articulated equivalent, within the past two years.