Mathematics Courses

A free course intended for students who placed into MTH 070. The Pre-Algebra Bridge is designed to assist in improving placement scores by focusing on college study skills, test taking skills, and key mathematical concepts. Topics include whole numbers, integers, fractions, decimals, percents, ratios, and proportions. At the end of the Bridge program, you will retake the placement exam and have the opportunity to place higher.

A free course intended for students who placed into MTH 080 or MTH 094.The Fundamental Concepts in Mathematics Bridge is designed to assist in improving placement scores by focusing on college study skills, test taking skills, and key mathematical concepts. Topics include solving linear and absolute value equations and inequalities graphing on the Cartesian Coordinate system, slope and equations of lines, graphing linear inequalities, solving systems of equations with graphing, rules of exponents, and multiplication/division of polynomials. MTH 040 utilizes a departmental workbook and a computer learning management system. At the end of the Bridge program, you will retake the placement exam and have the opportunity to place higher.

Pre-Algebra is an entry-level course for students in preparation for the Introductory/Intermediate algebra sequence or Fundamental Concepts in Math. Topics to be covered include: arithmetic operations on the set of whole numbers, integers, and rational numbers, including decimals, exponents, and percents, solving linear equations, various applications in problem-solving, the coordinate system, and basic graphing.  Placement in Pre-Algebra is determined by a student's score on the math placement test and/or the student's mathematical background. When successfully completed (grade C or better), the course satisfies the college's prerequisite for
Introductory Algebra, Fundamental Concepts in Math, and Business Mathematics. Prerequisite: None

Introductory Algebra is the first course in a two course algebra sequence designed to prepare students for coursework in college level mathematics. Students will be introduced to basic algebra topics and the application of technology to those topics. The course will begin with a review of pertinent pre-algebra topics including fractions, decimals, and signed numbers. Other topics to be covered at the introductory algebra level include: arithmetic skills, solving equations and inequalities, exponents, linear equations and expressions, and the coordinate plane. Many of these topics will be developed more in subsequent courses. Successful completion with a grade of ""C"" or higher will satisfy the prerequisite for Intermediate Algebra.

A developmental mathematics course designed to prepare students for coursework in college level mathematics. Students will gain a background in algebra, geometry, and mathematical reasoning.  Topics to be covered include introductions to linear equations, the Cartesian coordinate system, statistics, geometry, functions, unit analysis, and mathematical reasoning.  Application based problems and learning will be infused throughout the course. Not intended for transfer.

A course exploring the applications of mathematics and statistics to business and finance. Topics include, discounts, markups and markdowns, unit cost, earnings, income tax, organizing data with graphs and charts, measures of center and variation, present and future value using both simple and compound interest, depreciation, and inflation. Please note that this is intended as a terminal course; completion of this course would not qualify students for higher level mathematics.

A course exploring the applications of mathematics to technical and industrial applications. Topics include applications of algebraic functions including linear and quadratic equations, geometric reasoning, (congruence, similarity, area, volume, etc.) trigonometry (angles, ratios of right angles, Law of Sines and Cosines), and statistics (measures of center and dispersion, probability, and graphs). Please note that this is intended as a terminal course; completion of this course would not qualify students for higher level mathematics.

Intermediate Algebra is designed to prepare students for College Algebra. Topics covered include: systems of linear equations and inequalities, absolute value equations and inequalities, polynomial operations, factoring (including sum and difference of cubes), solving quadratics using factoring and the quadratic formula, graphing quadratic equations, rational expressions and equations, and radical expressions and equations.

This course is designed to explore applications of mathematics specific to visual art, design, music, and the theatre. Topics include rations and perspective, 2D and 3D geometry, harmonic intervals, tiling, fractals, and infographics. Please note that this is intended as a terminal course; completion of this course will not qualify students for higher level mathematics.

Contemporary Mathematics is designed to meet the needs of the student wishing to satisfy the general education math requirement. The purpose of Contemporary Math is to provide a comprehensive overview of the mathematical and/or quantitative skills required to navigate the mathematical demands of modern life and prepare students for a deeper understanding of information presented in mathematical terms. Emphasis is placed on improving students' ability to draw conclusions, make decisions, and communicate effectively in quantitative-based situations that depend upon multiple factors. Please note that this is intended as a terminal course; completion of this course would not qualify students for higher-level mathematics. Standards covered in MTH 140 include: Problem-solving, modeling, mathematical reasoning, connecting with other disciplines, communication using the language of mathematics, using technology, and developing mathematical power.

Statistics is an introductory course which studies the proper methods of collecting data, organizing, describing, and presenting data, and drawing conclusions from data.

College Algebra (Precalculus A) is the first of two courses intended to prepare students for fields of study that would require a high level of algebraic reasoning or Calculus. Topics include the foundational principles of functions, the analysis of functions, and algebraic reasoning. This is a STEM path course.

Trigonometry is the second of two courses intended to prepare students for fields that require a high level of algebraic reasoning or Calculus. This course includes the trigonometry component of a precalculus course. Topics include geometric reasoning and trigonometry.
 

Survey Calculus is an introductory study of the techniques of differential and integral calculus. The focus of the course will be on functions and the applications of the calculus to the life, social, and managerial sciences, with particular emphasis on business applications. Trigonometry is not used.

A first course in a sequence of courses including analytic geometry, differential calculus, and integral calculus. This series is recommended for majors in engineering, the physical sciences, and mathematics. Topics include: properties of real numbers, introduction to analytic geometry, functions, limits, continuity, the derivative, differentiation of functions, applications of the derivative, antiderivatives, and the definite integral.

A continuation of MT 1605 including the following topics: applications of the definite integral, logarithmic and exponential functions, hyperbolic and trigonometric functions, techniques of integration, approximate integration, indeterminate forms, improper integrals, polar coordinates, conic sections, vectors, parametric equations, sequences, and series.

A continuation of MTH 210 including the following topics: vectors and surfaces in three-dimensional space, solid analytic geometry, differential calculus of functions of several variables, and multiple integration.

Topics studied in this course will include systems of linear equations, matrices, vector and vector spaces, inner products, linear transformations, determinants, eigenvalues and eigenvectors.

An introduction to statistical methods in engineering and the physical sciences dealing with basic probability, distribution theory, confidence intervals, significance tests, and sampling.

A study of separable variables, homogeneous equations, exact equations, integrating factors, linear differential equations, LaPlace transform, and applications.

A specialized program of study directly related to the department's area of expertise. The course is arranged between a faculty member and student and takes into consideration the needs, interests and background of the student.

Courses are offered to accommodate special interests of students and/or faculty. Typically, the course will cover new material not currently contained in the curriculum at ECC.