Mathematics Courses (MTH)

 

90        Pre-Algebra (Non-Credit)

This self-paced course emphasizes basic computational skills including whole number operations, fractions, mixed numbers, decimal fractions, ratios and proportions, signed numbers, simple linear equations and operations on polynomials. As a student’s level of preparation for entry into this course may vary, mastery of course content may require enrollment in the course for more than one semester. Offered Each Semester.

 

96        Developmental Skills in Basic Mathematics (Non-Credit)

This course emphasizes computational and fundamental skills, including whole numbers, fractions, decimals, proportions, percents, and beginning algebra. Offered in HEOP Summer Program.

 

97        Basic Mathematics (Non-Credit)

This course covers the essentials of algebra, including signed numbers, fractions, factoring, polynomials, rational functions, solving equations, and word problems. Intended for students needing skills in mathematics. Offered Each Semester.

 

100     Mathematics in Our Daily Life (3)

Fulfills core competency: Critical Thinking and Problem Solving. Fulfills Quantitative Literacy requirement. A course designed to improve student’s application of mathematical concepts in their everyday experience. These concepts will be developed through inductive/deductive reasoning, and topics such as fractal, pattern, sequences, geometry, logic, and statistics. Offered As Needed.

 

102     Finite Mathematics (3)

Selected topics from sets, logic, reasoning and valid arguments, switching circuits, counting problems, combinations and permutations, problem solving, linear equations and problem solving, linear programming, mathematics of finance, graphs and trees, scheduling problems, minimum spanning trees, traffic flow, probability, statistics, game theory, and history and foundations of mathematics. Not offered for credit to mathematics majors. Prerequisite: MTH 97 (or adequate competence as determined by mathematics placements tests). Offered As Needed.

 

104     Survey of Statistics (3)

Fulfills core competency: Critical Thinking and Problem Solving. Fulfills Quantitative Literacy requirement. An intuitive study of descriptive and inferential statistics with emphasis on applications using a statistical package. Prerequisite: MTH 97 (or adequate competence as determined by the mathematics placement tests). Offered Each Semester.

 

111     Mathematics for Elementary School Teachers (3)

Fulfills Quantitative Literacy requirement. Basic ideas underlying mathematics in general, arithmetic and geometry in particular. Prerequisites: MTH 97 or adequate competence as determined by the Mathematics Placement Test. Offered As Needed.

 

112     Geometry and Logic (3)

Fulfills Quantitative Literacy requirement. The second of a two-course sequence for future elementary teachers. Elementary logic and truth tables, geometric entities with their properties, as sets of points, coordinate geometry, measurement, other geometries. Prerequisite: MTH 111. Offered As Needed.

 

124     College Algebra (3)

Fulfills Quantitative Literacy requirement. The real number system, first and second degree equations and inequalities, exponents, polynomials and rational functions are studied in depth. Elementary analytic geometry is also covered. Prerequisite: MTH 97 (or adequate competence as determined by the mathematics placement tests). Offered Each Semester.

 

131     Calculus and Mathematics for Business and Social Sciences (3)

Fulfills core competency: Critical Thinking and Problem Solving. Fulfills Quantitative Literacy requirement. This course is specifically designed for non-science majors. It covers single and multi-variables calculus, linear algebra including the simplex method for linear programming, with their applications in Business and Social Sciences. Prerequisite: Math 124 (or adequate competence as determined by the mathematics placement tests). Offered Each Semester.

 

134     Pre-Calculus (3)

Fulfills Quantitative Literacy requirement. Topics in this pre-calculus mathematics course include functions; graphing; polynomial, exponential, and logarithmic functions; and trigonometry. Intended for students who must take calculus but who lack the necessary background. Prerequisite: MTH 124 (or adequate competence as determined by the mathematics placement tests). Offered Each Semester.

 

135     Mathematical Analysis for Management (3)

Continuation of MTH 131. Emphasizes topics used in management, optimatization techniques of functions of several variables using both algebra and elementary linear programming; calculus applications to business and economics, differential equations; matrix algebra and Markov chains; probability and other selected topics in finance and finite mathematics. Prerequisite: MTH 131 or MTH 144. Offered As Needed.

 

144-145         Calculus and Analytic Geometry I and II (6)

Fulfills Quantitative Literacy requirement. Limits, continuity, differentiation, anti-differentiation, definite integrals, transcendental functions, formal integration, and application to physical, natural and engineering sciences. Prerequisite: MTH 134 (or adequate competence as determined by the mathematics placement tests). Offered As Needed.

 

246     Linear Algebra (3)

This course is an introduction to linear algebra. Topics covered include systems of linear equations, vector spaces and subspaces, dimension of vector spaces, linear transformations and eigenvalues. The interrelationship between these concepts is emphasized. An attempt is made to provide motivation for abstract ideas by presenting them as natural generalizations of familiar geometric concepts. Prerequisite: A grade of a C or better in MTH 144 or equivalent. Offered As Needed.

 

254-255         Calculus and Analytic Geometry III and IV (6)

Polar coordinates, infinite sequences, series, vector algebra and geometry, two and three dimensional vector algebra, calculus of functions of several variables, vector differential calculus lines and surface integrals. Prerequisite: A grade of a C or better in MTH 145. Offered As Needed.

 

264     Discrete Mathematics (3)

Study of a variety of discrete mathematical systems. Introduction to mathematical logic and its applications; sets, relations, and functions; combinatorics; discrete number systems; induction, recursion and generating functions; graph theory; lattices and boolean algebra. Prerequisite: MTH 144. Offered As Needed.

 

274     Differential Equations (3)

Ordinary equations of the first, second and higher orders; linear differential equations with constant coefficients; applications in physics and geometry. Solutions of linear systems of ordinary differential equations. Prerequisite: MTH 145. Offered As Needed.

 

303     Introduction to Proofs (3)

A course that teaches students how to read and construct proofs as they are typically presented in the textbook, journal articles, and other mathematical literature, at the appropriate level. Prerequisites: MTH 145 and MTH 264. Offered As Needed.

 

307-308         Introduction to Abstract Algebra (6)

Introduction to theory of groups, rings, ideals, integral domains and fields; vector spaces, matrices and determinants. Prerequisite: MTH 145 and upper division status. Offered As Needed.

 

310     Methods in Teaching Middle and Secondary School Mathematics (3)

An introduction to the secondary school curriculum and pedagogical implications for teaching mathematics. Topics include developing lesson plans, exploring assessment techniques, and special learning techniques. Includes lectures, field experience, the role of technology as a teaching resource and classroom tool, and classroom management issues. Prerequisite: Upper division status. Offered As Needed.

 

351     Modern Geometry (3)

Historical background, transformational geometry: mapping and transformation, synthetic plane geometry: Mobius and hyperbolic geometry, other geometries: projective geometry, pseudo geometry, universal and multidimensional projective geometry. Prerequisites: MTH 145 and MTH 264 and upper division status. Offered As Needed.

 

407-408         Advanced Calculus (6)

A rigorous study of calculus, sequence, real number system, functions, limits, continuity,

 differentiation, integration, infinite series. Prerequisite: MTH 255 and upper division status. Offered As Needed.

 

414     Elementary Theory of Probability (3)

Algebra of sets applied to discrete sample spaces; combinational analysis; conditional probability; binomial, Poisson and normal distributions. Applications of advanced probability techniques to a research problem. Prerequisite: MTH 145, and upper division status, or permission of instructor. Offered As Needed.

 

415     Theory of Mathematical Statistics (3)

Sampling, distributions, statistical inference, estimation, confidence intervals, hypothesis testing and regression. Prerequisite: MTH 414. Offered As Needed.

 

416     Numerical Analysis (3)

Cross-listed as CSC 416. Study of finite differences, interpolation, root finding algorithms; numerical differentiation and integration. Numerical solution of ordinary differential equations. Prerequisite: MTH 145 and upper division status. Offered As Needed.

 

430     Mathematics Reading List & Proseminar (3)

History, development and foundations of mathematics, Prerequisite: Upper division status. Offered As Needed.

 

457     Research and Independent Study (Variable Credit)

Individually arranged reading and research. Open to qualified students at the invitation of the faculty. Offered As Needed.

 

460     Mathematics Capstone (3)

This course has been designed to give students an introduction to research and literature in mathematics. Students will demonstrate their research, analytical, oral, and writing skills by researching and writing an original document (minimum 12 pages) based on sources appropriate to the discipline and approved by the instructor. At the end of the semester students will offer oral presentations to the class with selected members of the Daemen College community in attendance. Prerequisite: Junior/Senior status. Offered As Needed.

 

Computer Science Courses (CSC)

 

100     Computer Literacy (3)

This course is designed to provide students with the basic concepts of computing systems and information systems. Students gain knowledge of how computers are used in today’s society and are introduced to applications packages. This course cannot be taken for Math/Science credit in the core. Offered As Needed.

 

101     Introduction to Computer Programming (3)

Fulfills core competency: Literacy in Information and Multi-Media Technology. Introduction to programming. Problems analysis and algorithms. Discussion of computer systems and use. A substantial amount of BASIC programming is included. Prerequisite: MTH 97 (or adequate competence as determined by the mathematics placement tests). Offered As Needed.

 

 

201     Introduction to Computer Science (3)

Introduction to the basic concepts of computer science. Covers fundamental computer science concepts and programming in C++. Includes these topics: computing system concepts, problem solving, algorithm design, top-down development, program testing and documentation, data types (built-in and enumerated), data manipulation, sequences, selection, loops, modules, parameters, arrays, records, strings, files, introduction to sorting and searching techniques and other basic algorithms. Requires extensive programming. Prerequisite: MTH 131 or MTH 144 (or adequate competence as determined by the mathematics placement test). Offered As Needed.

 

212     Introduction to Computer Science II (3)

A continuation of CSC 201. Covers abstract data structures and their operations, and software concepts. Includes these topics: program development (interpreting specifications, top-down development, information hiding, structured testing), implementation of built-in data types and structures, files, pointers, stacks, queues, linked lists, recursion, trees, graphs, searching and sorting algorithms, and an introduction to complexity analysis of algorithms. Requires extensive programming. Prerequisite: A grade of C or better in CSC 201. Offered As Needed.

 

310     Introduction to Computer Systems and Organization (3)

Study of the relationships between computer systems, software concepts and programming technologies. Computer architecture, language processors and systems resources are also studied. Prerequisite: CSC 212. Offered As Needed.

 

350     Data Structures (3)

Essentials of data structures and data structure algorithms. Includes lists, stacks, queues, linked lists, trees, binary trees, sorting, hashing, etc. Programming in a modern language. Prerequisite: CSC 212. Offered As Needed.

 

405     Operating Systems (3)

Study of some of the functions of the operating system, such as management of processes, storage and files. An operating system is studied in depth. The history and development of operations systems, process concepts, management and scheduling, real and virtual storage, file storage and access will also be covered. Prerequisites: CSC 310 and 350. Offered As Needed.

 

416     Numerical Analysis (3)

Cross-listed as MTH 416. Study of finite differences, interpolation, root finding algorithms, numerical differentiation and integration, linear systems and matrices, eigenvalues and eigenvectors. Numerical solution of ordinary differential equations. Prerequisite: MTH 145. Offered As Needed.