## Course Descriptions MATH

MATHEMATICS (MATH)

**Updated for 2013-2014**

MATH 9 Whole Number Skills (1) Math 9 covers arithmetical operations with whole numbers, and introduces the concepts of fractions, decimals, and percent. Estimation and associated applications will also be included. Corequisite: MATH 16 MATH 16 Math Study Skills (1) Students in MATH 16 study and apply essential study skills needed to succeed in mathematics and other mathematics-related courses. Techniques are introduced to reduce math anxiety, improve note-taking skills, manage time effectively, employ effective study techniques, and practice sound math test-taking skills. This course is recommended for students taking their first developmental math course. (Cross-listed as IS 16)

MATH 18 Essential Mathematics for Algebra (3)

MATH 18 covers essential mathematical concepts and procedures needed for success in Elementary Algebra: properties of and operations with whole numbers, fractions, mixed numbers, decimals, integers, signed numbers, and exponents, ratios, proportion, and percent with applications variable expressions and simplification elementary linear equations with applications and basic plane geometry.

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: C or better in MATH 1B, CR in MATH 9, OR qualifying placement test score (21 or higher in the COMPASS pre-algebra placement domain) Formerly MATH 97.

MATH 50C Technical Mathematics I: Automotive and Diesel Mechanics (3)

MATH 50C covers the mathematical techniques and applications necessary to perform tasks and solve problems encountered by automotive technologists. Mathematical topics include arithmetic operations, geometry, ratio, proportion, and percent. Applications include major automotive systems, including engines, electrical, drive train, chassis, and ventilation. Prerequisite: Any one of the following within the past two years C or better in MATH 1B; OR CR in MATH 18; OR qualifying placement test score (30 or higher in COMPASS pre-algebra); OR consent of instructor.

MATH 50H Technical Mathematics: Food Service (3) MATH 50H is a course that develops applications of mathematics necessary in hospitality education, especially in the area of food trades. Mathematical concepts and techniques that are introduced and developed in Pre-Algebra are used to interpret, model and solve a variety of problems relating to the food industry. Topics include dry and liquid measurements, measurements by weight, adjusting and costing recipes, yield percentage, basic nutrition, and simple business form and report preparation and analysis.

Prerequisite: C or better in ENG 19 and any one of the following (or articulated equivalent) within the past two years: C or better (or CR) in MATH 18, or C or better in MATH 22, or qualified placement test score (30 or higher in COMPASS Pre-Algebra).

MATH 82 Accelerated Algebraic Foundations (4)

MATH 82 covers essential algebraic concepts and procedures needed for success in College Algebra, Survey of Mathematics, and Statistics courses: signed numbers, exponents, roots, and radicals, expressions and polynomials, special products, factoring, linear equations, inequalities, and systems, quadratic equations, rational expressions and equations, graphing, function notation, and applications. (Formerly MATH 98)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: CR in MATH 18 OR C or better in MATH 22 OR qualifying placement test score (30 or higher in the COMPASS algebra placement domain).

MATH 100 Survey of Mathematics (3) MATH 100 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. MATH 100 is not intended as, and does not qualify as, a prerequisite for advanced mathematics courses.

(FS)

Prerequisite: Either of the following, or articulated equivalent, within the past two years will qualify a student for MATH 100: CR in MATH 82 OR qualifying placement test score (50 or higher in the COMPASS Algebra placement domain)

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. (FS)

Prerequisite: Any ONE of the following, or an articulated equivalent, completed within the past two years: CR in MATH 82 OR qualified placement test score (62 or higher in the COMPASS algebra placement domain).

MATH 111 Math for Elementary Teachers I (3)

This course covers understanding, communicating, and representing mathematical ideas, problem solving and reasoning. Topics includes operations and their operations, sets, counting, patterns, and algebra. This course is intended for elementary education majors.

Prerequisite: C or better in ENG 22 or equivalent; and any ONE of the following, or an articulated equivalent, within the past two years, will qualify a student for MATH 111: C or better in MATH 103 OR qualified placement test score (70 or higher in the COMPASS algebra placement domain).

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 Statistics (3)

MATH 115 is an introduction to statistics that covers descriptive statistics, elementary probability, and inferential statistics.

Prerequisite: Any one of the following, or articulated equivalent, completed within the past two years: C or better (or CR) in MATH 82 OR qualified placement test score (50 or greater in the COMPASS Algebra placement domain).

MATH 135 Pre-Calculus: Elementary Functions (3) MATH 135 focuses on a functional approach to algebra. Polynomial, rational, exponential, and logarithmic functions and their graphs are studied in detail. Associated properties are used to solve equations, inequalities, and applications. This course is especially recommended for students interested in a STEM (science, technology, engineering, or mathematics) field.

(FS)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: C in MATH 103 OR qualified placement test score (COMPASS minimum of 75 in algebra or 56 in college algebra) OR “prepared” designation in the Algebra II End-Of-Course exam.

MATH 140 Pre-Calculus: Trigonometry and Analytic Geometry (3) Math 140 covers the concepts of trigonometry and analytic geometry needed for the study of Calculus. The topics include: the properties and graphs of trigonometric, circular, and inverse functions; solution of triangles; identities; solution of trigonometric equations; conic sections; polar coordinates; and parametric equations.

(FS)

Prerequisite: Any one of the following, or an articulated equivalent, within the past two years: C or better in MATH 135 OR qualifying placement test score (71 or higher in the COMPASS College Algebra placement domain).

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 (62 or higher in the COMPASS college algebra placement domain) OR “well prepared” designation in the Algebra II End-Of-Course exam OR instructor consent.

MATH 197H Math for Culinary Arts (3) This course covers the mathematical and quantitative concepts, reasoning, and techniques that are used in the culinary arts and modern technology. The content will include deductive, numeric, symbolic, graphical, and statistical algorithms and reasoning. Prerequisites: Any one of the following, or an articulated equivalent, within the past two years: C or better (or CR) in Math 82 OR qualifying placement test score (50 or higher in the COMPASS Algebra placement domain) or consent of instructor. 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 (71 or higher in the COMPASS College Algebra placement domain).

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 (46 or higher in COMPASS Trigonometry).

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 (numbered MATH 241 at UH Mānoa and UH West O‘ahu), or articulated equivalent, within the past two years. NOTES: The admissions and records office maintains a database of articulated equivalent courses. The two-year time limit on recognition of math course prerequisites is a UHCC system-wide agreement formulated by the Math Program Coordination Council (Math PCC).

MATH 206L Calculus II Computer Lab (1)

MATH 206L students will be introduced to the use of symbolic computer software for solving calculus problems such as differentiation, max-min theory, curve sketching, numerical integration, Newton’s method, infinite series, elementary differential equations, and some supplementary topics. This course will enhance and add perspective to calculus, as well as demonstrate that mathematical computer software is an important tool in mathematics.

Prerequisite: MATH 206 concurrent, or C or better in MATH 206 (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. This course carries the Community College system-wide agreement of two-year limit on prerequisites for Math courses. This agreement is set by a policy formulated by the Math Program Coordinators Council (Math PCC).

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, Gauss’s Theorem, and differential equations.

Prerequisite: C or better in MATH 231 or equivalent (within the past two years).