MATH - Mathematics

Alfred State courses are grouped into the following sections:

  • This course is an introduction to the topics of algebra primarily for those students who do not qualify for more advanced math courses due to lack of background or a long absence from the study of mathematics. The topics covered include properties of real numbers, order of operations, polynomial operations, solutions of first degree equations and inequalities in one variable, systems of linear equations, graphing linear equations and properties of linear exponents. Students must earn a C or better grade in this course to register for any credit-bearing math courses. This course does not satisfy any degree requirements.


  • The course will introduce the student to the following topics: order of operations; applications in geometry; simplifying algebraic expressions; exponents; radicals; solving linear equations; modeling; systems of linear equations; and graphing linear equations. Emphasis is placed on reviewing basic arithmetic skills and then completing elementary algebra topics. Students will work on the development of thinking skills through creative problem solving, writing to explain methods and solutions to problems, and collaborative learning.
  • This course is intended as a tool for students to learn or review fundamental concepts of mathematics. The course provides a bridge to algebra for students who are not ready to successfully complete that study. Topics covered include operations with whole numbers, integers, fractions and decimals. Additional topics include ratios, proportions, percents, measurement, geometric figures and a very basic introduction to algebra. Students must earn a "C" or better grade in this course to register for the next math course, MATH 1003. This course is often taught in a self-paced-learning format. This course does not satisfy any degree requirements.


  • This course is intended for students who need more preparation to be successful in College Algebra or other courses of that level.  Topics covered include:  review of first degree equations, systems of equations and inequalities, graphing, polynomials, factoring, radicals and rational exponents, quadratic equations, rational expressions, relations and functions and an introduction to triangle trigonometry.  This course prepares students to enter Math 1033 - College Algebra, Math 2124 - Statistical Methods and Analysis, Math 1423 - Explorations in Geometry, Math 1323 - Quantitative Reasoning and Math 2163 - Discrete Mathematics.  A grade of C or better is required in Math 1014 to register for these courses.  THIS COURSE DOES NOT FULFILL THE GEN-ED MATH REQUIREMENT.

  • This course will introduce the student to the following topics: order of operations; applications in geometry; simplifying algebraic expressions; exponents; radicals; solving linear equations; modeling; systems of linear equations; and graphing linear equations. Emphasis is placed on reviewing basic arithmetic skills and then completing elementary algebra topics. courses.


  • This course includes topics such as polynomials, radicals, exponents, coordinate geometry, rational expressions and equations, and solutions to linear and quadratic equations. Students are introduced to the concept of functions and their graphs. Additional topics may include conic sections, matrices, variation, and nonlinear inequalities. Emphasis will be placed on problem solving. A graphing calculator is required. Students cannot receive credit for MATH 1033 if they have credit for MATH 1054.

  • This course is designed primarily for the student who needs a foundation in algebra and trigonometry for the study of calculus. The concept of function and graphical representation of functions is stressed. Topics covered include: real numbers; algebra of real numbers including equations and inequalities; functions and their graphs including polynomial, rational expressions, logarithmic and exponential, trigonometric; algebra of the trigonometric functions including identities, equations, polar coordinates, complex numbers, systems of equations. Prerequisite: NYS 80 HS Average Math A and B (or Course 1,2,3), plus a fourth year Math, or equivalent.

  • This course includes a review of functions, an introduction to the concept of limits and a study of the techniques of differentiation and integration of algebraic functions with applications to the various technologies. A graphing calculator is required. Credit for MATH 1063 Technical Calculus I will not be given if student receives credit for MATH 1084 Calculus I.

     

  • A survey of differential calculus and its application to business, including management, finance and economics. Major topics include limits, derivatives, exponential and logarithmic functions and limits, and multivariable functions. Applications include marginals, maxima/minima, growth and decay, linear models. Credit for MATH 1083 will not be allowed if student has received credit for MATH 1063.

  • Designed for the student intending to continue his/her education in mathematics, science or engineering. The course will include a review of functions, an introduction to the concept of limits, and a study of the derivatives and integrals of algebraic and transcendental functions and their applications. A graphing calculator is required. Students cannot receive credit for both MATH 1063 and MATH 1084.

  • This course provides an introduction to and understanding of the basic concepts of statistics. Actual computation will be minimal; computers will be used whenever calculations are necessary. Emphasis will be placed on the meaning of statistical results. Content will include sampling, experiments, measurement, organizing data, and statistical indices. Optional topics include probability, time trends, survey design and basic inference concepts. Requires a "C" or better in 1003 or 1024 or an appropriate placement score.


  • This course is the first of a two semester sequence in statistics. It covers mainly descriptive techniques such as data collection, organization techniques, measures of center, spread, and position. Other topics covered include: probability, probability distributions, normal and binomial distributions, correlation and regression. Requires a "C" or better in 1003 or 1004 or 1024 or an appropriate placement score.

  • This is a one semester course whose basic objective is to develop an interest and appreciation for mathematics in students with little background in the subject.  Included in the course are topics from the following areas:  problem solving, inductive reasoning, logic, sets, probability, statistics, consumer math, and geometry.  Additional topics from the following areas will be included as time permits:  history of math, number systems, metric, algebra, linear programming, finite math, matrices, computer applications.  Requires a C or better in 1003 or 1004 or 1024 or an appropriate placement score.

  • This course is designed for curricula where quantitative reasoning is required. The course content includes critical thinking skills, arithmetic and algebra concepts, statistical concepts, financial concepts, as well as numerical systems and applications. A graphing calculator is required. This is an entry level course and requires three years of high school math equivalent to NYS Course 1, 2, and 3; or Math A and B.

  • The content of this course will apply geometrical truths in a variety of contexts, including knots, tessellations and graphical symmetry. In addition, it will cover some principles of Gestalt perceptual properties, the exploration and creation of models of geometric art from other cultures, and any additional material deemed suitable by the instructor. The material will involve experimentation by the student in a geometric forum to discover or verify properties of two- and three-dimensional objects and patterns. The software AutoCAD or a similar program for drawing on a computer as well as two- and three-dimensional modeling tools will be used extensively to enhance spatial intelligence skills and awareness of properties. Students will learn to analyze designs by indentifying their geometric component parts and create designs by combining geometric shapes. They will identify the rules used in creating the design and will create new designs by varying some of those rules.

     

  • This course includes topics in algebra such as polynomials, algebraic fractions, variation, rational exponents, and operations with radicals. Also covered are solutions of rational, radical, and quadratic equations. Additional topics may include systems of equations and quadratic inequalities. This course does not satisfy any graduation requirements for TAC/ABET accredited engineering technology programs or Liberal Arts Math/Science programs. A grade of D will not be accepted if you need this as a prerequisite for another math course.


  • This course is designed for the college student who has demonstrated mastery of algebra skills and techniques. Topics include trigonometric functions and their properties with the study of identities, formulas, equations, and graphs. Also included are the solution of right and oblique triangles using the law of sines and cosines. In addition, time is spent exploring logarithmic and exponential functions. Emphasis is placed on contextual applications and problem solving. A graphing calculator is required. Credit cannot be received for both MATH 2043 and MATH 1054.


  • A continuation of MATH 1063 with further study in differentiation and integration of both the algebraic and transcendental functions. Applications will be included in each topic. An introduction to Matrix Algebra may be included. Graphing Calculator required. Student cannot receive credit for MATH 2074 if they have received credit for MATH 1084.


  • A continuation of MATH 1084 with a concentrated study of integration techniques along with applications. Applications include but are not limited to areas, volumes, arc length, and work problems to name a few. The course involves the methods of integration and applications as they apply to both the algebraic and transcendental functions. Infinite Series will be included. Graphing Calculator required. Student cannot receive credit for both MATH 2094 and MATH 2074.

     

  • This is a one-semester (non-calculus based) course which covers descriptive as well as inferential statistics.  Included are topics on collecting, organizing, and summarizing data.  Other topics include correlation and regression, probability, normal and binomial probability distributions, normal approximation to the binomial, central limit theorem, confidence intervals, hypothesis testing, and nonparametric statistics.

  • A continuation of MATH 1123 emphasizing probability distributions with predictive and inferential aspects of statistics: the normal distribution with applications, central limit theorem, hypothesis testing and estimation as applied to the mean, standard deviation, and proportions. Other topics include normal approximation to binomial, Chi-Square applications, linear regression, correlation, and nonparametric statistics. Use of calculators for analysis and computer statistical packages are utilized.


  • This course is designed for the business or computer science student and may serve as a good alternative for the students in the social and life sciences. The course will introduce the following topics: functions (linear, quadratic, exponential and logarithmic), logic, counting methods, elementary probability, formulas (math and finance), sequences and series. This is an application-oriented course, which will build the student's understanding of applications in the business, economics, life sciences, and social science areas. Emphasis will be on real data applications and on increased use of the graphing calculator. Requires a "C" or better in MATH 2003.


  • This course is designed for Information Technology and Mathematics and Science students.  The course will introduce and discuss the following topics:  functions, relations, sets, logic, counting methods, methods of proof, network graphs and trees, algorithmic analysis, complexity and computability, and matrices.  A graphing calculator is required.

  • A student may contract for from one to four credit hours of independent study in mathematics through an arrangement with an instructor of mathematics. The student and instructor will develop a course of study which must be approved by the department chair and the school dean. The instructor and the student will confer regularly regarding the student's progress.


  • A student may contract for one to six credit hours of independent study through an arrangement with an instructor who agrees to direct such a study.  The student will submit a plan acceptable to the instructor and to the department chair.  The instructor and student will confer regularly regarding the process of the study.

  • Currently this course is identical in content to MATH 6114. Basic course in differential equations. Methods of solution of first and second order differential equations. LaPlace Transforms and linear differential equations of higher order are also studied. Mathematical modeling of technical and population problems.

  • A student may contract from one to four credit hours of independent study in mathematics through an arrangement with an instructor of mathematics.  The student and instructor will develop a course of study which must be approved by the department chairperson and the school dean. The instructor and the student will confer regularly regarding the student's progress.

  • Currently this course is identical in content to MATH 3104 and a continuation of MATH 2094. Topics include infinite series, vectors in two and three dimensions, vector functions, vector analysis, partial derivatives and multiple integrals.

  • This course is designed as a continuation of MATH 2094. Topics will include: parametric equations, polar, cylindrical and spherical coordinate systems, vectors and vector valued functions, functions of several variables, partial derivatives and applications, multiple integrals, and vector analysis, including Green's theorem, Stokes' theorem, and Gauss' theorem. The course will include several major projects outside of class.

  • This is the beginning study of the solution of differential equations with emphasis on both analytic and numerical solutions. Topics include first and second order differential equations and their solutions, series solutions, Laplace transforms, linear equations of higher order, numerical solutions or ordinary differential equations using Euler and Runge-Kutta methods, and the use of Eigenvalue methods to solve linear systems. In addition, this course emphasizes the development of differential equations as mathematical models for a variety of practical applications. The course will include several major projects outside of class.

  • This course is designed for the engineering technology student. It covers techniques for comparing alternative projects based on economic considerations; time value of money; present worth; equivalent uniform annual cost; rate of return on investment; minimum cost life; expected value; decisions under risk; effects of income tax and inflation.


  • This calculus-based course offers the theoretical basis for probability and statistics related to engineering applications. Topics include data analysis techniques, random variables, expectation, important probability distributions and densities, inferences concerning one or more means and standard deviations. Reliability, correlation and regression, curve fitting, and quality control charts are introduced. Graphing calculators are required. Computer applications may be included.