# Mathematics Program

## Mathematics Classes

### MATH 060: MEDICAL MATH SUPPORT

**Credits: **2

This is a course for students who are enrolled in Math 96, (Medical Math) who need supplemental instruction or review in fractions, percents, decimals, ratio and proportion, solving basic algebraic equations and word problems. Recommended preparation: MATH 094.

### MATH 087: MATHEMATICAL LITERACY I

**Credits: **5

First course in a two-course sequence preparing non-STEM students for college-level math coursework (either Math& 107 or Math& 146. Topics include creating and interpreting charts and graphs, order of operations, linear versus exponential growth, basic probability and statistics, dimensional analysis, rates of change, and critical reasoning. Graphing calculators are required. Prerequisite: ABE 50 or MATH 94 with a minimum grade of C. Students can also place into this course via the math placement test.

### MATH 088: MATHEMATICAL LITERACY II

**Credits: **5

Second course in a two-course sequence preparing non-STEM students for college-level math coursework (either Math& 107 or Math& 146. Topics include linear relationships and problem-solving, standard deviation, the Normal distribution, nonlinear equations, variation, scientific notation, function notation, the quadratic formula, and curve-fitting. Graphing calculator required. Prerequisite MATH 087 with a minimum grade of C. Students can only enter this course with Math 87 with a minimum grade of C from WCC. Students cannot place into this course using an equivalent course from another institution, or via the math placement test.

### MATH 094: BASIC MATHEMATICS

**Credits: **5

Review of addition, subtraction, multiplication and division of fractions. Course also includes order of operations, percentages, rates and proportions, perimeter, area and volume of geometric figures, application problems, introduction to positive and negative numbers, and solving basic algebraic equations. Prerequisite: ABE 40 with a minimum grade of C or math assessment test.

### MATH 096: MEDICAL MATH

**Credits: **5

This course is intended to be an introductory algebra course for students entering healthcare professions with the course content contextualized for the medical field. Topics will include an overview of algebra skills used in the medical field, measurement systems, conversion procedures, dosages, intravenous calculations, charts, tables and graphs, variation, and linear equations and their graphs. Students are expected to have mastered basic arithmetic concepts. Recommended preparation: ABE 050 or basic arithmetic concepts equivalent to ABE 050.

### MATH 097: ELEMENTARY ALGEBRA I

**Credits: **5

The first in a two course elementary algebra sequence. The course will include solving one variable equations and inequalities, formulas and applications, an introduction to polynomials, factoring, and methods of solving quadratic equations. Graphing calculators are required. Prerequisite: ABE 050 with a minimum grade of C or MATH 94 including a unit of Basic Algebra with a minimum grade of C.

### MATH 098: ELEMENTARY ALGEBRA II

**Credits: **5

Second in a two course elementary algebra sequence. Students are expected to be proficient in the first half of an Elementary Algebra course (Math 97 or equivalent). Topics include dimensional analysis, graphing, exponent rules, systems of equations, radical equations, quadratic equations, and applications of elementary algebra. Graphing Calculators are required. Prerequisite: MATH 97 with a minimum grade of C.

### MATH 099: INTERMEDIATE ALGEBRA

**Credits: **5

A course in functions and fundamentals of algebra intended to prepare students planning to take additional courses in science, technology, engineering, and mathematics. Topics include rational expressions and equations, functions and graphs, systems of equations (variable and non-linear), exponential and logarithmic functions, and right triangle trigonometry. Graphing calculator required. Prerequisite: MATH 98 with a minimum grade of C.

### MATH 121: MATHEMATICAL MODELING AND THE ENVIRONMENT

**Credits: **5

Exploration of linear, power, exponential, logistic, logarithmic, and difference equations using data analysis and regression. Students will create mathematical models from environmentally themed data sets to better understand different types of relationships between variables. Quantitative reasoning will be heavily emphasized. Graphing calculator required. Prerequisite: MATH 99 with a minimum grade of C.

### MATH 145: ALGEBRA APPLICATIONS FOR ECONOMICS AND BUSINESS

**Credits: **5

Applications of linear, quadratic, exponential, and logarithmic equations; functions and graphs; mathematics of finance; solution of linear systems using matrices; linear programming using the simplex method. Graphing calculator required. Prerequisite: MATH 99 with a minimum grade of C.

### MATH 175: GRASP THE MATH: INTRO TO 3D PRINTING

**Credits: **2

Come to a place where art and math intersect. This class provides an introduction to 3D-printing software and hardware in the context of creating objects using mathematical concepts. Students will have the opportunity to use CAD (computer aided design) programs to create 3D objects and have them printed on campus. Prerequisite: prior or concurrent enrollment in MATH& 142 or MATH& 151 or higher.

### MATH 204: INTRODUCTION TO LINEAR ALGEBRA

**Credits: **5

Elementary study of the fundamentals of linear algebra. Course is intended for stronger math or science students. Course to include the study of systems of linear equations; matrices; n-dimensional vector space; linear independence, bases, subspaces and dimension. Introduction to determinants and the eigenvalue problem; applications. Graphing calculator required. Prerequisite: MATH& 151 with a minimum grade of C.

### MATH 207: TAYLOR SERIES

**Credits: **1

Introduction to the derivation and uses of Taylor Series, intended for math and science majors. The course includes a discussion of error bounds in approximating curves with polynomials, Taylor polynomials, Taylor series expansion, and intervals of convergence. Graphing calculator required. Prerequisite: MATH& 152 with a minimum grade of C.

### MATH 208: SEQUENCES AND SERIES

**Credits: **3

A course in the techniques of working with infinite sequences and series, intended for math and science majors. The course includes limits of sequences, subsequences, series, alternating series, absolute and conditional convergence, power series, Taylor and Maclaurin series, Fourier series, applications. Graphing calculator is required. Prerequisite: MATH& 151 with a minimum grade of C.

### MATH 238: INTRODUCTION TO DIFFERENTIAL EQUATIONS

**Credits: **5

Introductory course in differential equations. Topics include first and higher order linear equations, power series solutions, systems of first order equations, numerical methods, La Place transforms, applications. Graphing calculator required. Prerequisite: MATH& 152 with a minimum grade of C.

### MATH 295: HONORS PROGRAM SPECIAL TOPICS SEMINAR

**Credits: **2

Reading, writing, discussion and oral presentations designed to develop in-depth, advanced levels of knowledge of a topic in Math. Required preparation: acceptance into the Honors Program.

### MATH& 107: MATH IN SOCIETY

**Credits: **5

Formerly MATH 125. Exploration of mathematical concepts with emphasis on observing closely, developing critical thinking, analyzing and synthesizing techniques, improving problem solving skills, and applying concepts to new situations. Core topics are probability and statistics. Additional topics may be chosen from a variety of math areas useful in our society. Graphing calculator required. Prerequisite: MATH 88 or MATH 99 with a minimum grade of C.

### MATH& 141: PRECALCULUS I

**Credits: **5

The basic properties and graphs of functions and inverses of functions, operations on functions, compositions; various specific functions and their properties including polynomial, absolute value, rational, exponential and logarithmic functions; applications of various functions; conics. A graphing calculator is required. Prerequisite: MATH 99 with a minimum grade of C.

### MATH& 142: PRECALCULUS II

**Credits: **5

Second in a two-course sequence designed to prepare students for the study of Calculus. Intended for students planning to major in math and/or science. Course to include right triangle trigonometry; trigonometric functions and their graphs; trigonometric identities and formulae; applications of trigonometry; parametric equations; and polar coordinates. A graphing calculator is required. A graphing calculator is required. Prerequisite: MATH& 141 with a minimum grade of C.

### MATH& 146: INTRODUCTION TO STATS

**Credits: **5

Rigorous introduction to statistical methods and hypothesis testing. Includes descriptive and inferential statistics. Tabular and pictorial methods for describing data; central tendencies; mean; modes; medians; variance; standard deviation; quartiles; regression; normal distribution; confidence intervals; hypothesis testing, one and two-tailed tests. Applications to business, social sciences, and sciences. Prerequisite: MATH 088 or MATH 099 with a minimum grade of C.

### MATH& 148: BUSINESS CALCULUS

**Credits: **5

Limits, derivatives, marginal analysis, optimization, antiderivatives, and definite integrals. Examples taken from management, life and social sciences. Prerequisite: MATH& 141 or MATH 145 with a minimum grade of C.

### MATH& 151: CALCULUS I

**Credits: **5

This course looks at the study of functions, limits, continuity, limits at infinity, differentiation of algebraic, exponential, logarithmic, and trigonometric functions and their inverses, and applications. Graphing calculator required. Prerequisites: MATH& 142 with a minimum grade of C.

### MATH& 152: CALCULUS II

**Credits: **5

The study of Riemann Sums, methods of integration, numerical methods, polar and rectangular forms, fundamental theorem of Calculus, areas of regions, volumes of solids, centroids, length of curves, surface area, and an introduction to differential equations. Graphing calculator required. Prerequisite: MATH& 151 with a minimum grade of C.

### MATH& 163: CALCULUS III

**Credits: **5

Multivariate integral and differential calculus. Geometry in R3 and in the plane. The study of vectors, acceleration, curvature; functions of several variables, partial derivatives; directional derivatives and gradients; extreme values; double and triple integrals; applications. Graphing calculator required. Prerequisite: MATH& 152 with a minimum grade of C.

### MATH& 264: CALCULUS IV

**Credits: **5

This is the second quarter of multivariable calculus. Topics include multiple integration in different coordinate systems, the gradient, the divergence, and the curl of a vector field. Also covered are line and surface integrals, Green's Theorem, Stoke's Theorem and Gauss' Theorem. Prerequisite: MATH& 163 with a minimum grade of C.