Transfer-Level Mathematics Courses

This course is designed for students majoring in business, social sciences, and life sciences. This course provides an overview of descriptive and inferential statistics.

The students learn to read, interpret and present data in a well-organized way. This includes frequency distributions, graphs, measures of central tendency and variability, correlation and linear regression.

While discussing inferential statistics, the students learn to make generalizations about populations. This includes probability, sampling techniques, confidence intervals, and hypothesis tests.

This course is designed to deepen and extend the student’s under- standing of the foundations of the mathematics taught in elementary school. Because it is intended for the student preparing to teach at that level, it frequently refers to and uses materials and methodology appropriate for students at that level, but it is not a methods course.

The course is concept-driven with an emphasis on problem solving. Concrete manipulatives are used to give meaning to abstract mathematical concepts. Topics include numeration and place value concepts, models and algorithms for operations with whole numbers, integers, fractions and decimals, and the structure and properties of the real number system.

This course is intended for elementary education majors planning to teach in elementary or middle schools.

Topics include probability, statistics, informal geometry in two and three dimensions, coordinate geometry, measurement, similarity, tessellations, constructions, and an introduction to Euclidean geometry. Manipulatives and appropriate technology are used as tools for exploration and problem solving.

Prerequisite: MATH 140.

This course is for students who need a quantitative reasoning course for graduation or transfer.

In this course students will learn to read and understand quantitative information, solve practical problems, and make sound decisions using numbers. Topics include consumer applications, logic, probability, statistics, algebra, and geometry.

The course serves as preparation for students planning to take Elements of Calculus (MATH 170).

This course will cover linear, quadratic, polynomial, power, exponential, and logarithmic functions and their applications from a graphical, numerical, and analytical point of view. The course also will cover systems of equations and inequalities and sequences and series.

Graphing technology will be required.

This is a one-semester course in the fundamentals of algebra-based calculus and its applications to the fields of business, economics, social sciences, biology and technology.

Course topics include graphing of functions, derivatives and integrals of polynomials, exponential and logarithmic functions, applications of derivatives and integrals, multi-variable derivatives and differential equations.

Prerequisite: MATH 160.

This course is designed for students who are majoring in math, science, and engineering. This course equips students with the skills necessary for success in pre-calculus.

It presents the concepts of plane trigonometry using a functions approach. Included is a study of basic relations, functions, and transformations, as well as circular functions, trigonometric functions of angles, identities, inverse functions and their equations and solutions of triangles.

This course is designed to prepare students for the study of calculus. It presents a comprehensive study of linear, quadratic, polynomial, exponential, logarithmic, rational, and trigonometric functions.

Inequalities, introductory analytical geometry, polar coordinates, polar equations and their graphs, DeMoivre’s Theorem and an introduction to sequences are also included. This course is a prerequisite for MATH 190.

Prerequisite: MATH 175.

MATH 190 is a semester course designed primarily for those students planning to pursue programs in engineering, mathematics, computer science, and physical sciences. This course includes topics of differential and integral calculus of a single variable.

Prerequisite: MATH 180.

This course is the second course of the calculus sequence required of engineering, physics, and mathematics majors.

The course includes techniques of integration, improper integrals, anti-derivatives, application of the definite integral, differential equations, Taylor polynomials, series, vectors, the dot product and the cross product.

Prerequisite: MATH 190 or MATH 190H.

This is the third course of the calculus sequence required of engineering, physics, and mathematics majors.

This course involves a study of functions of two or more variables using the principles of calculus, vector analysis, and parametric equations. Included is a study of solid regions using partial differentiation, vector analysis, and multiple integration. This course also includes a study of vector calculus topics, such as line and surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem.

Prerequisite: MATH 191.

This course is an introduction to ordinary differential equations and linear algebra, and is designed for STEM majors who do not need separate courses in linear algebra and differential equations.

Topics in this course include:

• First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli, and exact equations with applications and numerical methods;
• Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications;
• Solutions to linear and non-linear systems of differential equations, including numerical solutions;
• Matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, including the Gram-Schmidt procedure; and
• Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization, and symmetric matrices.

Prerequisite: MATH 191.

This course is required for Engineering, Physics, Computer Science and Mathematics majors.

This course is an introductory study of linear algebra with applications to problems in the physical and social sciences. It includes a study of vectors, systems of linear equations, matrices, determinants, the Fundamental Theorem of Invertible Matrices, Eigenvalues and Eigenvectors, orthogonality, vector spaces and proof by mathematical induction.

Prerequisite: MATH 191.

This course is a continuation of MATH 190, MATH 191, and MATH 250 and is required for all Engineering, Physics, and Mathematics majors.

This course is a study of ordinary differential equations with applications in the physical and social sciences. The course includes a study of linear and nonlinear first-order differential equations, linear higher order differential equations, systems of differential equations, power series solution of differential equations, and Laplace transforms.

Prerequisite: MATH 250.