## Mathematics (MAT) Courses

#### MAT 090 Basic Mathematical Concents of Nursing Students (1-0)

This course is designed to help incoming nursing students to understand and carry out the mathematics for the problems they will encounter in their nursing curriculum; specifically dosage problems. Topics include unit conversion, rounding rules, formatting decimals, conversion factors and dimensional analysis. This course carries imputed (financial aid credit). It does not fulfill FLCC’s Mathematics or general elective requirements. Course is graded on a Satisfactory or Unsatisfactory basis View Course Syllabus

#### MAT 093 Foundations of Quantitative Literacy (1-0) 1 hr.

This course is taken in conjunction with MAT 135, Quantitative Reasoning, and is designed to support student success in MAT 135 by supplementing prerequisite knowledge. An activity based approach is used to explore proportional, geometric, and algebraic reasoning. Key mathematical concepts are studied within a variety of real-world contexts. Co-requisite: MAT 135. This course is for students with a Level 0 mathematics placement who are also registered for the co-requisite course, MAT 135 Quantitative Reasoning. This course carries imputed (financial aid) credit. It does not fulfill FLCC's Mathematics or general elective requirements. Course is graded on a Satisfactory or Unsatisfactory basis. View Course Syllabus

#### MAT 095 Fundamental Mathematics & Algebra Skills (3-0)

A beginning course in mathematics designed to prepare the student for further pursuits in algebra or statistics. This is an introductory course in algebra for the student that has no algebra or minimal algebra skills. Topics include integers, algebraic expressions, exponents, one variable first-degree equations, applied problems, algebraic fractions with whole number denominators, exponent rules, graphing lines and slope of a line. Prerequisite: Placement into Math Level 0. This course carries imputed (financial aid) credit. It does not fulfill FLCC’s Mathematics or general elective requirements. View Course Syllabus

#### MAT 097 Intermediate Algebra (3-0)

A transitional course in mathematics designed to provide the student with a solid algebraic background for further studies in mathematics or the sciences. This is a mid-level course in algebra for the student that has some algebra skills. Topics include a review of solving and graphing linear equations, expressions with integer and rational exponents, scientific notation, operations on polynomials, factoring techniques, algebraic fractions and solving quadratic equations. Prerequisite: MAT 095 or Placement into Math Level 1 This course carries imputed (financial aid) credit. It does not fulfill FLCC’s Mathematics or general elective requirements. View Course Syllabus

#### MAT 100 Mathematics Seminar (1-0) 1 cr.

This course exposes students to the wide variety of mathematics that exists beyond what is traditionally taught in mathematics classes. Specific topics discussed each semester will be based on interest and abilities of the students in the class and will vary each semester. This course is oriented towards students interested in studying mathematics, but the topics will be accessible for all students interested in learning more about mathematics. This class may be taken for credit more than once since the topics will change each semester. View Course Syllabus

#### MAT 101 Mathematics for Liberal Arts (3-0) 3 hrs.

This course is intended for the liberal arts student. The purpose of this course is to share the excitement and enjoyment of contemporary mathematical thinking. The course answers the question, "What do mathematicians do, practice, or believe in?" The use of mathematics in areas of business and industry, politics, networking and telecommunication will be studied with the intent to develop reasoning ability, logical thinking, critical reading, and written and oral communication. The topics are selected so that they are self-contained. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 110 Mathematics of Money (3-0) 3 hrs.

This course is directed toward the student who wishes to study mathematics with business and financial applications. The philosophy of the department is that this course is a mathematics course using business-related topics to enhance the student's abilities in and appreciation for mathematics. The course topics are chosen so as to be of interest to a broad range of students. Among the topics chosen are simple interest, simple discount, compound interest, present and future value of annuities, spreadsheets and other specific financial applications. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 121 Introductory Statistics I (3-0) 3 hrs.

A first course in statistics designed to introduce descriptive statistics of one and two variables, and probability; and to assimilate those concepts into an understanding of probability distributions. Topics include measures of central tendency, variability, graphical displays, linear correlation, and regression, dependent and independent probability, discrete and continuous probability distributions. The course will emphasize computer or calculator use (graphing calculator, Minitab, Excel, StatCrunch, etc.) to obtain results. Prerequisite: MAT 095 or Placement into Math Level 1 or higher. Scientific calculator required. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 122 Introductory Statistics II (3-0) 3 hrs.

A continuation of Introductory Statistics I (MAT 121) with an introduction to statistical research. Topics of statistical inference included are hypothesis testing and estimation for means, proportions, and variances; determination of sample size; uses of the Chi-square distribution; analysis of variance; and statistical research. The course will emphasize computer or calculator use (graphing calculator, Minitab, Excel, StatCrunch, etc.) to obtain results. Prerequisite: MAT 121. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 135 Quantitative Reasoning (3-0) 3 hrs.

This is a course centered on mathematical and statistical reasoning important for decision-making in work and everyday life. It integrates quantitative literacy with percentages, probability, mathematical modeling, and statistical thinking. Concepts are investigated with hands-on activities using important medical, environmental, and financial decision examples. Communication of mathematics, critical thinking, problem-solving, and utilizing appropriate technologies will also be developed in this course. Prerequisite: Placement into Math Level 1. Co-requisite: MAT 093 for Placement into Math Level 0. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 145 College Algebra (3-1) 3 hrs.

This course is directed towards the student learning algebraic concepts necessary to enter into Pre-Calculus (MAT 152). Topics included in this course are the concept of a function, linear, quadratic, polynomial and trigonometric functions, average rate of change, solving quadratic equations, properties of exponents, systems of equations, right triangle trigonometry and trigonometry on general triangles. Solutions to equations and inequalities will be found numerically, algebraically, and graphically. Throughout the course, applications are emphasized as a reason for learning algebra. Prerequisite: MAT 097 or Placement into Math Level 2. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 152 Pre-Calculus (3-1) 3 hrs.

A continuation of the concept of functions learned in College Algebra expanding to exponential, logarithmic, polynomial, and rational functions. In addition, topics for consideration include transformations, composition, inverse functions, and trigonometric functions. This course provides in depth study of a variety of functions, solving equations and applications of functions. Moreover the course provides a bridge to the beginning groundwork of Calculus with the study of rates of change, extrema, and concavity. Graphing calculator required. Prerequisite: MAT 145 or Placement into Math Level 3 This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 180 Mathematics for Elementary School Teachers I (3-0) 3 hrs.

This course is the first of a two-semester sequence designed for prospective elementary education teachers. The course presentation and material will conform to the NCTM Standards and therefore will present mathematics in the context of problem solving, communication (both oral and written), reasoning, including direct and indirect proofs, and mathematical connections. Students will explore mathematical concepts and theories underlying the topics including: set theory, numeration and different number systems, operations on integers, rational and irrational numbers, prime and composite numbers, divisibility and modular arithmetic. View Course Syllabus

#### MAT 200 Statistics (3-0) 3 hrs.

This statistics course is designed for an experienced mathematics student. It is a one semester course covering descriptive and inferential statistics. Topics included are measures of center; measures of dispersion; hypothesis testing; estimations for population means, proportions, and variance; determination of sample size; uses of the Chi-square distribution; analysis of variance; linear correlation and linear regression; and statistical research. The course will emphasize computer or calculator use (graphing calculator, Minitab, Excel, or the like). MAT 145 College Algebra or placement into Math Level 3. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 220 Discrete Math (3-0) 3 hrs.

This course covers the basic foundation principles for the study of mathematical structures that are finite or countable in number (Discrete). Topics to be studied include set theory, logic, relations, induction, recursion, informal proof, counting and probability. Prerequisite: MAT 152. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 271 Calculus I (4-0) 4 hrs.

A first course in Calculus focusing on the mathematics of changing rates. The derivative of polynomial and transcendental functions is investigated from a numerical, graphical, and algebraic approach. Applications for the use of derivatives are also explored. Introduction to the definite integral and the Fundamental Theorem of Calculus is included in this course. Graphing calculator required. Prerequisites: MAT 152 or Placement into Math Level 4. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 272 Calculus II (4-0) 4 hrs.

A continuation of the topics studied in Calculus I, in particular anti-differentiation and integration of functions and their applications. Also included are various techniques of integration, improper integrals, indeterminate limit forms, infinite series, Taylor polynomials, power series, and an introduction to differential equations. Prerequisite: MAT 271. Graphing calculator required; see department chair for specific model. This course carries SUNY General Education Mathematics credit. View Course Syllabus

#### MAT 273 Calculus III (4-0) 4 hrs.

The calculus of multivariable functions and vectors. Topics include partial differentiation, multiple integrals, optimization, multiple integration, line integrals and vector fields. Prerequisite: MAT 272. Graphing calculator required; see department chair for specific model. View Course Syllabus

#### MAT 274 Differential Equations (4-0) 4 hrs.

This course is an introductory survey of ordinary differential equations. First order differential equations and methods for obtaining solutions are investigated. Methods include integration, variation of parameters, and integrating factors. These methods are generalized for second order differential equations. Additional methods include numerical approximation, Laplace Transforms, and power series. Prerequisite: MAT 272. View Course Syllabus

#### MAT 276 Linear Algebra (3-0) 3 hrs.

A survey course of the study of elementary linear algebra through the study of finite dimensional vector spaces, linear transformations and matrices. Topics covered include vector and matrix operations, determinants, systems of linear equations, linear independence, eigenvalues and eigenvectors. Prerequisite: MAT 271. View Course Syllabus

#### MAT 280 Mathematics for Elementary School Teachers II (3-0) 3 hrs.

This course is the second of a two-semester sequence designed for prospective elementary education teachers. The course presentation and material will conform to the NCTM Standards and therefore will present mathematics in the context of problem solving, communication (both oral and written), reasoning, including direct and indirect proofs, and mathematical connections. Students will explore mathematical concepts and theories underlying the topics including: proportional reasoning, statistics, probability, and geometry in terms of shape, transformations, and measurement. Prerequisite: MAT 180. This course carries SUNY General Education Mathematics credit. View Course Syllabus