# Mathematics Courses

MTH 030 Mathematics Pre-Algebra Bridge

A weeklong course intended for students who placed into MTH 070. The Pre-Algebra Bridge is designed to assist in improving placement scores by focusing on test taking skills and targeted remediation in mathematics.  Topics include whole numbers, integers, fractions, decimals, percents, ratios, and proportions.  MTH 030 utilizes a departmental workbook and a computer learning management system.  At the end of weeklong bridge, students will retake the mathematics portion of the placement exam.

MTH 040 Mathematics Introductory Algebra

A weeklong course intended for students who placed into MTH 080. The Introductory Algebra Bridge is designed to assist in improving placement scores by focusing on test-taking
skills and targeted remediation in mathematics. 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 weeklong bridge, students will retake the mathematics portion of the placement exam.

MTH 070 Pre-Algebra
Prerequisite: None

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

MTH 080 Introductory Algebra
Prerequisite: Minimum grade of C in MTH 070 or appropriate math placement score.

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.

MTH 094 Fundamental Concepts in Mathematics
Prerequisite: MTH 070 or appropriate math placement; minimum grade C

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.

MTH 095 Statistics Expansion
Prerequisite: Appropriate math placement score.

Statistics Expansion is a developmental mathematics laboratory course for students who are co-enrolled in Statistics (MTH 150) and need to improve comprehension and mastery of  specific arithmetic and algebraic topics. Topics to be covered include numbers and the number line, operations on numbers, sets, equations and inequalities, graphing lines in two  dimensions, reading tables and graphs, and approximating areas. Additional support will also be provided to assist students' success in Statistics. Prerequisite: Appropriate Math  Placement score.

Prerequisite: Minimum grade of ""C"" in MTH 070 or appropriate math placement score to enter MTH 080.

A course in business and financial applications of mathematics such as discounts, markups, interest, installment buying and credit cards, payroll, depreciation, taxes, etc. Intended for students in several AAS degree programs.

MTH 104 Concepts in Mathematics for Business
Prerequisite: MTH 070, minimum grade C or appropriate math placement score

Concepts in Mathematics for Business is designed for students in certain AAS disciplines. Students will gain a background in geometry, analysis, and reasoning. Topics to be covered include introductions to statistics, geometry, functions, unit analysis, consumer mathematics, and reasoning mathematically.  Application based problems and learning will be infused throughout the course.

MTH 108 Applied Algebra & Trigonometry
Prerequisite: Minimum grade or ""C"" in  MTH 080 or  MTH 094 or appropriate math placement score to enter MTH 110.

Applied algebra and trigonometry is a study of applied topics in algebra such as equations: linear and quadratic, graphs and equation solving combined with a study of topics in geometry and trigonometry such as angles, triangles, and vectors.

MTH 110 Intermediate Algebra
Prerequisite: Minimum grade of ""C"" in  MTH 080, MTH 094, or appropriate math placement score to enter MTH 110.

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.

MTH 121 Medication Calculations
Prerequisite: Minimum grade of ""C"" in MTH 110 or higher.

This course is primarily designed to provide the student enrolled in an Allied Health program with a review of basic mathematics as well as methods of medication dosage calculations using metric, apothecary, and household measures for adult and pediatric medication administration. Intravenous (IV) calculations for simple and complex administration to adult and pediatric patients is introduced. Not intended for transfer.

MTH 131 Metric & Nonmetric Geometry
Prerequisite: Minimum grade of ""C"" in MTH 110 or appropriate math placement score.

Metric and Non-Metric Geometry is designed to familiarize potential elementary school teachers with the various mathematical topics taught in an elementary school environment. Topics covered will include measurements, plane and solid geometry, statistics and probability.

MTH 134 Math for Art and Design
Prerequisite: Minimum grade of ""C"" in MTH 110 or MTH 094, appropriate math placement score.

This course is designed for Art and Graphic Design majors The goal of the course is to study connections between mathematics and art and design. Students will see how mathematics is not just about formulas and logic, but about patterns, symmetry, structure, shape and beauty. Students will study topics like tilings, polyhedra and perspective.

MTH 140 Contemporary Mathematics
Prerequisite: Minimum grade of C in MTH 094 or MTH 080 or appropriate placement test score.

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.

MTH 150 Statistics
Prerequisite: Minimum grade of ""C"" in MTH-080, MTH-094  or appropriate math placement score.

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

MTH 170 College Algebra
Prerequisite: Prerequisite: Minimum grade of C in MTH 110 or appropriate placement score.

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.

MTH 171 Trigonometry

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.

MTH 180 Survey Calculus
Prerequisite: Minimum grade of 'C' in MTH 170 or appropriate math placement score.

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.

MTH 190 Analytic Geometry & Calculus I
Prerequisite: Minimum grade of ""C"" in MTH 170  and MTH 171  or appropriate math placement score.

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.

MTH 210 Analytic Geometry & Calculus II
Prerequisite: Minimum grade of ""C"" in MTH 190. Students earning Calculus I credit through transfer or AP exam are required a satisfactory score on the Trigonometry placement exam.

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.

MTH 220 Analytic Geometry & Calculus III
Prerequisite: Minimum grade of 'C' in MTH 210.

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.

MTH 241 Linear Algebra
Prerequisite: Minimum grade of 'C' in MTH 210 or may be taking MTH 210 concurrently.

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

MTH 242 Engineering Statistics
Prerequisite: Minimum grade of ""C"" in MTH 210.

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

MTH 245 Differential Equations
Prerequisite: Minimum grade of ""C"" in MTH 220.

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

MTH 270 I.S.-Mathematics
Prerequisite: Consent of instructor

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.

MTH 280 Special Topics-Mathematics
Prerequisite: None

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.