## Course Descriptions

Here you will find the course descriptions for all of the mathematics courses offered at FM.

Here you will find the course descriptions for all of the mathematics courses offered at FM.

A developmental course focused on number sense and arithmetic skills. This course prepares students for a first course in algebra. Topics include the place value system, whole and signed numbers, decimals, fractions, percents, ratios, proportions and measurement systems.

Course is graded pass/fail. This course does not satisfy graduation requirements. *2 Institutional (non-degree) credits.

This course is designed for students who have a limited mathematics background. Topics include first‑degree equations, first degree inequalities, graphs of linear equations and inequalities in two variables, systems of

linear equations, equations of lines, verbal problems, and factoring.

This course does not satisfy graduation requirements.

Prerequisite: Successful completion of MAT 010, placement by academic advisor, or permission of Instructor. *4 Institutional (non‑degree) credits.

A first course for most students in Automotive, Construction, and Visual Communications Technologies. Topics include review of signed numbers and operations, exponents, algebraic fractions, calculator usage, the metric

system, perimeter/area/volume, triangle trigonometry, law of sines and cosines, surveying applications, and dimensional analysis.

Not credited toward the A.S. or A.A. degree mathematics requirements.

An overview of mathematics for the non‑transfer student. Topics include problem solving, introductory set theory, topics in algebra, topics in geometry, basic probability and statistics, and consumer mathematics.

Not open to students who have a “B” or better in Algebra 2 and Trigonometry or its equivalent. Not open to students who have taken Pre‑Calculus or higher. General Education: M.

This course is designated for students who do not plan to follow a STEM course of study. A course in quantitative literacy intended for students in Liberal Arts, Social Science, and Humanities that provides an overview of

quantitative literacy through exploring financial literacy and basic mathematic modeling, with statistics integrated throughout the course.

Not open to students who have a “B” or better in Algebra 2 and Trigonometry or its equivalent. Not open to students who have taken MAT 140 Pre‑Calculus or higher.

Prerequisite: Successful completion of Algebra I, placement by academic advisor, or permission of Instructor. General Education: M.

This course is designed for students who have had a minimum of high school mathematics and wish to enroll later in MAT 130 or MAT 140. Topics include: absolute value equations and inequalities; second de‑

gree (quadratic) equations, inequalities, graphs, and applications; relations and functions; rational expressions, equations, inequalities, and applications; radical expressions and equations; and complex numbers.

Not open to students who have a “B” or better in Algebra 2 and Trigonometry or its equivalent. Not open to students who have taken Pre‑Calculus or higher.

Prerequisite: Grade of “C” or above in MAT 040, placement by academic advisor, or permission of Instructor. General Education: M.

This course introduces basic concepts of probability, descriptive and inferential statistics including central tendency, variability, correlation, regression, parametric tests.

General Education: M.

College Algebra covers factoring, rational expressions, solution of equations and inequalities, functions, applications of functions, polynomial, exponential and logarithmic functions, solution of exponential and logarithmic equations.

Prerequisites: Grade of “C” or above in MAT 120, Math 11, Course 3, Math B, or Integrated Algebra 2; placement by academic advisor; or permission of Instructor. General Education: M.

This course is a study of trigonometry and its application. Topics include right triangle trigonometry, trigonometric functions and their graphs, trigonometric identities, solving trigonometric equations, and applications.

Trigonometry, when paired with College Algebra, will prepare students for MAT170, Calculus I. Not open to students who have credit for MAT140 Pre‑Calculus.

Prerequisites: Grade of “C” or above in MAT 120, Math 11, Course 3, Math B, or Integrated Algebra 2; placement by academic advisor; or permission of Instructor.

This course is designed to prepare a student for Calculus I. Topics include solutions to equations; inequalities; algebraic, exponential, logarithmic, and trigonometric functions.

Prerequisites: Grade of “C” or above on MAT 120, Math 11, Course 3, Math B, or Integrated Algebra 2; placement by academic advisor; or permission of Instructor. General Education: M.

This course offers a streamlined approach to differentiation and integration of algebraic and transcendental functions. This condensed version, of a traditional calculus course, makes formulas and theorems reasonable

and clear using arguments that can be made rigorous, if desired.

Prerequisite: MAT 140 or satisfactory performance on the placement exam. General Education: M.

The first semester of a multi‑semester sequence of differential and integral calculus. Topics include limits, derivatives, considered algebraically, symbolically and graphically; differentials and their use as approximations, the indefinite and definite integrals, inverse functions, logarithmic and exponential functions, symbolic and numeric methods of integration. Appropriate for math majors and students in partner disciplines requiring understanding of fundamental principles of calculus, with emphasis on deductive reasoning and proof.

Prerequisite: Grade of “C” or above in MAT 140 or High School Pre‑Calculus, placement by academic advisor, or permission of Instructor. General Education: M.

This course is designed for students who plan to major in mathematics or computer science. It introduces students to the non‑continuous side of mathematics; methods of proof, logic, sets, relations, functions, and

number theory; mathematical induction; counting techniques; and graph theory.

Prerequisite: Grade of “C” or above in MAT 170, or permission of Instructor.

A continuation of Calculus I. Includes applications of the definite integral to areas, volumes, surface area, arc length, moments and center of mass, separable differential equations and their applications, area accumulation functions; volume; applications such as work and probability; improper integrals and l’hopital’s rule; complex numbers; sequences; series; Taylor se‑

ries; differential equations; parametric equations, polar coordinates and modeling.

Prerequisite: Grade of “C” or above in MAT 170 or High School Calculus or permission of Instructor. General Education: M.

Multivariable calculus. Geometry of three dimensional space, vector functions in three space, partial differentiation, multiple integrals, functions of several variables, partial differentiation, multiple integration, line integral. Green’s theorem, and Stokes’ theorem. Applications studied through algorithmic techniques and/or computer usage.

Prerequisite: Grade of “C” or above in MAT 175 or permission of Instructor.

This course includes a study of methods for solving certain first order linear and nonlinear differential equations, second and higher order linear differential equations, and systems of first order linear differential

equations, as well as various applications of such equations. Techniques include series solutions and Laplace transforms.

Prerequisite: Grade of “C” or above in MAT 210 or permission of Instructor.

MAT 220 Linear Algebra 4-0-4

Systems of Linear Equations. Matrices and matrix algebra. Vectors and vector spaces. Linear Independence. Span of a set of vectors. Basis and dimension of a vector space. Linear transformations of vector spaces.

Rank of a matrix and the rank theorem. Determinants and their properties. Eigenvalues and eigenvectors. Diagonalization of matrices. Inner products. Orthogonal basis. Gram‑Schmidt Orthogonalization. Orthogonal projection of a vector onto a subspace.

Prerequisite: Grade of “C” or above in MAT 175 or permission of Instructor.