# Course Descriptions

## Mathematics (MAT) Courses

### MAT 093 Foundations of Quantitative Literacy (1-0) 1 imputed credit

This course is taken in conjunction with MAT 135, Mathematics in Context, 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 097 Algebra and Introduction to Functions (4-0) 4 imputed credits

A transitional course in mathematics designed to provide the student with a solid algebraic background for further studies in mathematics or the sciences. In addition to reviewing algebraic skills for simplifying expressions and solving equations, this course provides an introduction to the concept of a function. The family of linear functions is introduced. The use of realistic applications and modeling with linear functions is an essential component of this course. Prerequisite: Placement into Math Level 0 or 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 credit

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 credits

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 credits

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 115 Mathematics for Health Care Professionals (1-0) 1 credit

With the goal of improving safety in medication administration, Mathematics for Health Care Professionals is designed to expose students who are pursuing degrees leading to a career in health care to all pertinent aspects of medical dosage calculations. Using dimensional analysis as the primary computational tool, the course will proceed from dosage calculations involving tablets and capsules to the more complex calculations involving therapeutic safe dose ranges and intravenous infusions.(Satisfactory or Unsatisfactory grade.) View Course Syllabus

### MAT 121 Introductory Statistics I (3-0) 3 credits

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. Scientific calculator required. This course carries SUNY General Education Mathematics credit. View Course Syllabus

### MAT 122 Introductory Statistics II (3-0) 3 credits

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 Mathematics in Context (3-0) 3 credits

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 Survey of Functions I (4-0) 3 credits

This course is an introduction to the study of families of functions. Power, piecewise, quadratic, and polynomial functions are covered extensively, along with an introduction to exponential functions. Right and non-right triangle trigonometry is also studied in depth. The use of realistic applications and modeling with these families of functions are essential elements of this course. Emphasis on multiple methods of solving equations (algebraic, graphic, and numeric) is included as are multiple representations (algebraic, graphic, numeric, and verbal) of mathematical information. Prerequisite: MAT 097 or Placement into Math Level 2. This course carries SUNY General Education Mathematics credit. View Course Syllabus

### MAT 152 Pre-Calculus (Survey of Functions II) (3-1) 3 credits

This course is a continuation of the study of families of functions from those included in MAT 145, Survey of Functions I. Exponential, logarithmic, trigonometric/sinusoidal, and rational functions are analyzed in depth. Embedded within the study of each of these families are composition, decomposition, and the creation of inverse functions. An introduction to limit notation is used to analyze long range behavior, horizontal and vertical asymptotes, as well as removable discontinuities. The use of realistic applications and modeling with these families of functions is an essential element of this course. Emphasis on multiple methods of solving equations (algebraic, graphic, and numeric) is included as are multiple representations (algebraic, graphic, numeric, and verbal) of mathematical information. Prerequisite: MAT 145 or Placement into Math Level 3 This course carries SUNY General Education Mathematics credit. View Course Syllabus

### MAT 160 Introduction to Discrete Mathematics (4-0) 4 credits

An introduction to many of the principal topics of discrete mathematics, including number systems, sets, logic, relations, combinatorial methods, graph theory, regular sets, vectors and matrices. Prerequisite: MAT 152 This course carries SUNY General Education Mathematics credit. View Course Syllabus

### MAT 165 Introduction to Data Science (4-0) 3 credits

This course covers techniques for working with data, including getting and cleaning data, exploratory data analysis, data visualization, and statistical modeling and prediction. Students will learn how to ask good questions, apply data to practical problems, and communicate data analytic results. Statistical computing is integrated into the course. Prerequisite: Math Level 3 Placement or take MAT-145; minimum grade C-. This course carries SUNY General Education Mathematics credit. View Course Syllabus

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

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 credits

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 Mathematics for Computing (3-0) 3 credits

This course introduces students to ideas and techniques from mathematics that are widely used in computer science. Topics include the fundamentals of logic (propositional and predicate calculus), set theory, relations, recursive structures, and combinatorics. This course will increase students' mathematical sophistication and ability to handle abstract problems. Prerequisite: MAT 271. This course carries SUNY General Education Mathematics credit. View Course Syllabus

### MAT 271 Calculus I (4-0) 4 credits

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 credits

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 credits

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 credits

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 credits

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 credits

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 National Council of Teachers of Mathematics (NCTM) Standards and therefore will present mathematics in the context of problem solving, communication, reasoning and proof, representations, and connections. Students will explore mathematical concepts and theories underlying topics which include: proportional reasoning, statistics, probability, and geometry in terms of shape, transformations, and measurement. Modeling a positive attitude toward mathematics is emphasized as this is important for future educators. Prerequisite: MAT 180. This course carries SUNY General Education Mathematics credit. View Course Syllabus