All provisions within this catalog are subject to change without notice. If you have questions or comments, please contact admissions@gfcmsu.edu.

# Mathematics (M)

**M 065 Pre-Algebra**

Credits: 4

Term: (F, S, Su)

Prerequisite: Qualifying placement score within the past 3 years

Basic concepts relating to fractions, decimals, ratios, proportions, percent, simple equations, topics of signed numbers, and 1-variable linear equations are offered as a review and/or preparation for further studies in mathematics.

**M 090 Introductory Algebra**

Credits: 4

Term: (F, S, Su)

Prerequisite: M 065 with a grade of B- or higher or qualifying placement score within the past 3 years

Introductory Algebra initiates development in students’ ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, introduction to and factoring of polynomials, solving equations, systems of equations, and radicals. This course is intended for students who have not studied algebra but have a firm background in basic mathematics or who wish it as a review.

**M 094 PCE Non-Credit Math Course**

CEUs: 0-6

Term: (Based on sufficient demand)

Non-credit professional and continuing education (PCE) courses offered to provide condensed coursework to meet the needs of working students and professionals. These courses are eligible for Continuing Education Units (CEUs) and OPI Renewal Units and are transcribed on the student’s continuing education transcript.

**M 095 Intermediate Algebra**

Credits: 4

Term: (F, S, Su)

Prerequisite: M 090 with a grade of C- or higher, or a qualifying placement score within the past 3 years

This course offers a review of elementary algebra with further emphasis on systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, and exponential and logarithmic functions.

**M 098A Intro & Intermediate Algebra**

Credits: 1

Term: (F, S)

Prerequisite: M 065 with a grade of B- or higher, or a qualifying placement score within the past 3 years

Corequisite: M 098B, M 098C, M 098D, and M 098E

M 098 is divided into 5 modules. A grade of 70% or better is required in each module to satisfy the prerequisites for M 121, M 135, M 105, and STAT 216.
This course combines material from Introductory Algebra (M 090) and Intermediate Algebra (M 095) into one semester. Introductory Algebra initiates development in the student's ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, introduction to and factoring of polynomials, solving equations, systems of equations, and radicals. Intermediate Algebra offers further emphasis on systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, and exponential and logarithmic functions.

**M 098B Intro & Intermediate Algebra**

Credits: 1

Term: (F, S)

Prerequisite: M 065 with a grade of B- or higher, or a qualifying placement score within the past 3 years

Corequisite: M 098A, M 098C, M 098D, and M 098E

M 098 is divided into 5 modules. A grade of 70% or better is required in each module to satisfy the prerequisites for M 121, M 135, M 105, and STAT 216.
This course combines material from Introductory Algebra (M 090) and Intermediate Algebra (M 095) into one semester. Introductory Algebra initiates development in the student's ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, introduction to and factoring of polynomials, solving equations, systems of equations, and radicals. Intermediate Algebra offers further emphasis on systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, and exponential and logarithmic functions.

**M 098C Intro & Intermediate Algebra**

Credits: 1

Term: (F, S)

Prerequisite: M 065 with a grade of B- or higher, or a qualifying placement score within the past 3 years

Corequisite: M 098A, M 098B, M 098D, and M 098E

M 098 is divided into 5 modules. A grade of 70% or better is required in each module to satisfy the prerequisites for M 121, M 135, M 105, and STAT 216.
This course combines material from Introductory Algebra (M 090) and Intermediate Algebra (M 095) into one semester. Introductory Algebra initiates development in the student's ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, introduction to and factoring of polynomials, solving equations, systems of equations, and radicals. Intermediate Algebra offers further emphasis on systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, and exponential and logarithmic functions.

**M 098D Intro & Intermediate Algebra**

Credits: 1

Term: (F, S)

Corequisite: M 098A, M 098B, M 098C, and M 098E

**M 098E Intro & Intermediate Algebra**

Credits: 1

Term: (F, S)

Corequisite: M 098A, M 098B, M 098C, and M 098D

**M 105 Contemporary Mathematics**

Credits: 3

Term: (F, S, Su)

Prerequisite: M 090 with a grade of B- or higher, M 095 with a grade of C- or higher, or a qualifying placement score within the past 3 years; a grade of 70% or better is required in each module of M 098 to satisfy the prerequisite for M 105

Core Class: Mathematics

Basic skills in applicable mathematics including linear quadratic and exponential models, financial mathematics, trigonometry, and some elementary statistics.

**M 108 Business Mathematics**

Credits: 4

Term: (F, S, Su)

Students in this course will examine the mathematics of business ownership and will demonstrate an understanding of business decisions. Concepts include marketing, payroll, cash flow, simple and compound interest, credit, promissory notes, insurance, financial statements, ratio analysis, depreciation, annuities, and inventory valuation.

**M 111 Technical Mathematics**

Credits: 3

Term: (F, S based on sufficient demand)

Prerequisite: Appropriate placement test score, a grade of C or better in M 065, or Math Department consent.

This course presents basic mathematical topics as they are applied in a trades program. Topics covered include use of measuring tools, measurement systems, dimensional arithmetic, percents, proportions, applied geometry, and basic trigonometry. This course is intended for specific programs. The course will be taught through a course-sharing arrangement with FVCC.

**M 114 Extended Technical Mathematics**

Credits: 3

Term: (Currently not offered)

Prerequisite: Appropriate placement test score, a grade of C or better in M 065, or Math Department consent.

This course presents basic mathematical topics as they are applied in a trades program. Topics covered include use of measuring tools, measurement systems & dimensional analysis, basic algebra topics, scientific notation, applied geometry, right and oblique triangle trigonometry, and exponential & logarithmic formulas. This course is intended for specific programs. The course will be taught through a course-sharing arrangement with FVCC.

**M 120 Mathematics with Health Care Applications**

Credits: 3

Term: (F, S)

Prerequisite: M 090 with a C- or higher, or qualifying placement score within the past 3 years.

This course is designed to provide students with a solid mathematical foundation necessary to succeed in a health care profession. This course will review algebra, systems of measurement, medication and syringe calculations, ratio and proportions, calculations for IV therapy, basic statistics, and Ionic solutions and pH calculations.

**M 121 College Algebra**

Credits: 3

Term: (F, S, Su)

Prerequisite: M 095 with a C- or higher or qualifying placement score within the past 3 years; a grade of 70% or better is required in each module of M 098 to satisfy the prerequisite for M 121

Core Class: Mathematics

This course presents concepts, principles and methods of college-level algebra. Topics to be covered include polynomial, rational, radical, exponential, and logarithmic functions and their graphs, and real and complex numbers.

**M 135 Mathematics for K-8 Teachers I**

Credits: 4

Term: (F)

Prerequisite: M 095 with a C- or higher, or qualifying placement score within the past 3 years; a grade of 70% or better is required in each module of M 098 to satisfy the prerequisite for M 135

An introduction to problem solving, sets, rational and irrational numbers, operations, functions, numeration systems as mathematical structures, and introducing number theory for prospective elementary school teachers.

**M 136 Mathematics for K-8 Teachrs II**

Credits: 4

Term: (S)

Prerequisite: M 135 with a C- or higher

Introductory coordinate geometry, constructions, congruence and similarity, concepts of measurement, problem solving, probability, and statistics for prospective elementary school teachers.

**M 140 College Math for Healthcare**

Credits: 3

Term: (F, S)

Prerequisite: M 095 with a C- or higher or C- or higher in all five modules of M098 or or qualifying placement score within the past 3 years.

Core Class: Mathematics

This course is designed to provide students with a solid mathematical foundation necessary to succeed in a healthcare profession. This course will review algebra, systems of measurement, ratio and proportions, basic probability and statistics concepts, and Ionic solutions and pH calculations. This course will apply mathematical reasoning and problem solving as it applies to the healthcare field and is a suitable prerequisite for STAT 216.

**M 151 Precalculus**

Credits: 4

Term: (F based on sufficient demand, S)

Prerequisite: M 121 with a grade of C- or higher, or qualifying placement score within the past 3 years

Core Class: Mathematics

This course prepares students for calculus. It covers polynomial, rational, exponential, logarithmic and trigonometric functions from an algebraic and a graphical perspective including solving related equations, inequalities and applications. Inverse functions, conics, polar coordinates and equations, parametric equations, and trigonometric laws and identities will also be covered.

**M 161 Survey of Calculus**

Credits: 4

Term: (currently not offered)

Prerequisites: M 121 with grade of C- or higher, or qualifying placement score within the past 3 years

Core Class: Mathematics

A survey of basic calculus including limits, differentiation, and integration with applications to business, biology and social science problems.

**M 171 Calculus I**

Credits: 4

Term: (F, S based on sufficient demand)

Prerequisites: M 151 with grade of C- or higher, or qualifying placement score within the past 3 years

Core Class: Mathematics

Functions, elementary transcendental functions, limits and continuity, differentiation, applications of the derivative, and curve sketching studied.

**M 172 Calculus II**

Credits: 4

Term: (F based on sufficient demand, S)

Prerequisite: M 171 with a grade of C- or higher

Integration theory, methods of integration, applications of the integral, Taylor’s theorem, infinite sequences, and series are studied.

**M 191A Special Topics: Math for Carp**

Credits: 3

Term: (Currently not offered)

Prerequisite: Qualifying placement score within the past 3 years

Basic concepts of fractions, decimals, ratios, measurement, and geometry are offered in conjunction with applications revolving around carpentry and construction on each topic.

**M 191B Special Topics: Math for Weld**

Credits: 3

Term: (F, S, Su)

Prerequisite: Qualifying placement score within the past 3 years

This course reviews fundamental mathematical operations and explains their applications to the field of welding. Course topics will include: decimal and fraction operations and conversions, the metric and English systems of measurement, and basic geometry as applied to common shapes and forms. Reading and using various measurement tools, including standard and metric rulers, tape measures, and the architect's and engineer's scales will also be covered.

**M 194 PCE Credit-Bearing Math Course**

Credits: 0-6

Term: (Based on sufficient demand)

Credit-bearing professional and continuing education (PCE) courses offered to provide students and professionals condensed courses for skills upgrades, Professional Certification requirements, and as electives for the Associate of Arts (AA) or Associate of Science (AS) degrees. These courses may be eligible for financial aid for students pursuing the AA or AS degrees and are transcribed on the student’s undergraduate transcript.

**M 273 Multivariable Calculus**

Credits: 4

Term: (F based on sufficient demand)

Prerequisite: M 172 with a grade of C- or higher

Core Class: Mathematics

Topics in two and three dimensional geometry. Manipulation and application of vectors. Functions of several variables, contour maps, graphs, partial derivatives, gradients, double and triple integration, vector fields, line integrals, surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

**M 274 Intro to Differential Equation**

Credits: 4

Term: (S based on sufficient demand)

Prerequisites: M 172 with a grade of C- or higher

An introduction to qualitative, quantitative, and numerical methods for ordinary differential equations. Topics include modeling via differential equations, linear and nonlinear first order differential equations and systems, elementary phase plane analysis, forced oscillations, and Laplace transform techniques.