General Catalog 2007-2009
Mathematics
MAT102 Preliminary Mathematics
Fall-Spring Semesters
This course is designed to develop students’ skills in preparation for MAT111. Topics will include algebra and problem-solving exercises for students whose backgrounds indicate the need for skill-building activities. This course may not be used to fulfill the mathematics core requirement. The credit hours earned will count as elective credits.
3 credit hours.
MAT105 College Algebra
Fall-Spring Semesters
Designed to prepare students in algebraic skills. Topics include equations in one and two variables, inequalities, systems of equations, quadratic equations, polynomial functions, exponents, and logarithms.
3 credit hours.
MAT108 Precalculus
Fall-Spring Semesters
A one semester course to prepare students for calculus. The course assumes a good background in algebra and will move quickly and thoroughly through all of the topics that students need to be prepared for calculus, algebra, functions, and trigonometry, as well as basic calculus concepts.
3 credit hours.
MAT111 Critical Thinking and Problem Solving in Mathematics*
Fall and Spring Semesters
The course will emphasize the use of mathematics to solve problems and will present situations where students develop critical thinking skills. Topics may include inductive and deductive reasoning, statistics, financial management, units, percentages, probability, and exponential growth. Prerequisites: Placement into MAT111 is based on MSAT and high school mathematics background. Students who believe that they need additional mathematics preparation before taking MAT111 should consult the Mathematics Coordinator to determine if they will need to take MAT102, Preliminary Mathematics.
3 credits hours.
MAT115 (MAT190) The Structure of Sets and Numbers*
Fall-Spring Semesters
The topics of this course include set theory, logic, algorithms, geometry, measurement, number systems, and the historical development of the real number system. This course develops the mathematical basis upon which basic mathematics is built-in a manner consistent with national mathematics standards.
3 credit hours.
MAT120 Applied Calculus*
Fall-Spring Semesters
This is a one-semester course designed for business, biology and other majors needing an applied calculus course. Included topics are: calculating derivatives, maximum-minimum problems, curve sketching, calculating integrals & determining area under curves - and applications. The course uses applications from the business sector, and from life sciences and the social sciences. A recent and solid algebra background is essential for success in this course. Prerequisite: A 2.0 or higher in College Algebra MAT105 or the equivalent.
3 credit hours.
MAT150 Using Data to Improve Decision Making*
Spring Semester
This is a course for secondary educators. Topics include materials on the PRAXIS-PPST Mathematics test, statistics, and other mathematics relevant to the secondary teacher. Methods for conducting classroom research and in interpreting professional research will be included. Prerequisite: MAT111 or above.
3 credit hours.
MAT171 Calculus I*
Fall-Spring Semesters
Both a theoretical and an applied approach to physics and engineering are emphasized in this in-depth study of introductory calculus topics. The topics of the course include a review of Algebra and Trigonometry, limits, differentiation, and applications of the derivative. Prerequisite: A strong background in algebra and trigonometry or PreCalculus.
4 credit hours.
MAT172 Calculus II*
Fall-Spring Semesters
Topics in this second course in calculus include the definition and theory of the definite integral; numerical integration; integral applications; the calculus of logarithms, exponential, inverse and hyperbolic functions; techniques of integration; and applications of the integral to physics and engineering. Prerequisite: MAT171 with a grade of 2.0 or higher.
4 credit hours.
MAT210 Strategies for Teaching Basic Mathematics Skills
Fall-Spring Semesters
This course will cover a wide range of topics taken from Preliminary Mathematics (MAT102), College Algebra (MAT105), Pre-Calculus (MAT108), The Structure of Sets (MAT115), and Applied Calculus (MAT120). Concurrently, the students will learn effective current tutoring methodologies from the text and from current pedagogical journal articles, as well as gain application experience in these methods by observing developmental classrooms, shadowing effective math tutors, and working with experienced teachers. Prerequisite: 2.0 or higher in MAT120 or MAT171.
3 credit hours.
MAT211 Strategies for Teaching Basic Mathematics Skills Practicum
Fall Semester
Under the supervision of the Learning Resource Center Math Coordinator, the students will actively engage in tutoring each week. Students will spend a minimum of 2 hours each week in the LRC either tutoring, completing coursework, observing, or meeting/planning with the LRC mathematics coordinator. Students will work with tutees on an individualized basis as well as in small group settings. Students will model effective strategies observed in successful tutoring sessions and learned in MAT210. By continually evaluating the effectiveness of specific strategies, students will learn the best approach for a variety of situations. Education majors will receive 30 field experience hours in the community program block. Prerequisite: 3.0 or higher in MAT210.
1 credit hour.
MAT215 The Structure of Sets
and Numbers II*
Fall-Spring Semesters
Designed to provide foundational mathematical concepts that are in concert with national mathematics standards, the topics of this course include geometry, probability, statistics, patterns and relationships, and problem solving. Prerequisite: MAT115 with a grade of 2.0 or higher.
3 credit hours.
MAT230 Exploring Math with
the Computer
Fall Semester
Algorithms in several areas of mathematics are conceptually developed and then tested through computer programs. Topic areas include, but are not limited to, cellular automata, cryptology, fractals, number theory, and numerical methods. Prerequisites: MAT172 with a grade of 2.0 or higher and a programming language such as C/C++.
3 credit hours.
MAT235 Discrete Mathematics
Fall Semester
A course in discrete mathematics emphasizing the finite and combinatorial aspect of many mathematical structures and problems. It includes applications to computer science and probability. Prerequisites: MAT171, MAT172 each with a grade of 2.0 or higher.
3 credit hours.
MAT250 Elements of Statistics*
Spring Semester
An introductory course which includes probability distributions, confidence intervals, hypothesis testing, analysis of variance, and linear regression. Prerequisite: MAT105 with a grade of 2.0 or higher,or equivalent. Students who have taken BEH260 or QBA260 are not permitted to take this course.
3 credit hours.
MAT260 Elementary Linear Algebra*
Spring Semester
An introductory course in linear equations, determinants, vectors in the plane and in space, vector spaces, linear transformations, and eigenvalues. Designed as a serious mathematics course for students in the physical sciences, mathematics education, business or the mathematically curious. Prerequisite: MAT105 with a grade of 2.0 or higher, or the equivalent.
3 credit hours.
MAT271 Calculus III*
Fall-Spring Semesters
In this third course in Calculus, students study infinite series, conic sections, vectors and the calculus of three-dimensional space, polar coordinates, partial derivatives, and multiple integrals with applications to physics and engineering. Prerequisite: MAT172 with a grade of 2.0 or higher.
4 credit hours.
MAT272 Differential Equations*
Fall-Spring Semesters
The course in Differential Equations covers the standard methods of solving ordinary differential equations and their applications to physics and electrical and mechanical engineering. Topics include methods for first solving order differential equations; second and higher-order equations; numerical methods for non-linear differential equations; and series solutions. Prerequisite: MAT172, Calculus II with a grade of 2.0 or higher.
4 credit hours.
MAT280 Mathematical Structures*
Fall Semester
A first course in pure mathematics. Topics include sets, logic, mathematical proofs, relations and functions. Prerequisite: 2.0 or higher in all math courses taken at York College.
3 credit hours.
MAT340 Introduction to Geometry*
Spring Semester
An introduction to Euclidean geometry with some topics in non-Euclidean geometry. (Note: This course is not appropriate for Secondary Education-Mathematics or Mathematics majors.)
3 credit hours.
MAT345 Modern Geometry*
Fall Semester
A rigorous survey of Euclidean Geometry, recent additions to Euclidean Geometry, non-Euclidean geometries, and additional topics. Geometer’s Sketchpad and/or other software will be used. Knowledge of Euclidean geometry is required for this course. Knowledge of Euclidean geometry is required for this course.
3 credits
MAT350 Probability and Statistics*
Fall Semester, even years
A calculus based course in probability and statistics that will involve probability and a study of the distributions and expected values of continuous and discrete random variables. Prerequisite: MAT172 with a grade of 2.0 or higher.
3 credit hours.
MAT355 Math Standards
Spring Semester
A course to be taken with SE355, Teaching Mathematics in the Secondary School, this course will cover the mathematics content of the National Council of Teachers of Mathematics’ Principles and Standards, and relate them to the teaching of mathematics at the secondary school level. Corequisite: SE355. This course does not satisfy the core mathematics requirement.
1 credit hour.
MAT361 Abstract Algebra I*
Fall Semester (odd-numbered years)
An introduction to modern abstract algebra, the topics of this course include modular arithmetic, number theory, and group theory. This course requires a high degree of mathematical maturity and the ability to work with abstract mathematical concepts. Prerequisite: MAT280 with a grade of 2.0 or higher.
3 credit hours.
MAT362 Abstract Algebra II*
Spring Semester (even-numbered years)
A continuation of MAT361, this course covers the remaining topics in modern abstract algebra-rings and fields. Prerequisite: MAT361 with a grade of 2.0 or higher.
3 credit hours.
MAT371 Advanced Calculus*
Fall Semester
An introduction to the field of real analysis, a theoretical study of the topology of real numbers, differentiation, and continuity. Concepts encountered in Calculus I, II, and III, as well as in Mathematical Structures MAT 280, will be studied in much greater detail. Prerequisites: MAT271, MAT272, MAT280 each with a grade of 2.0 or higher.
3 credit hours.
MAT372 Advanced Calculus II*
Spring Semester
A continuation of MAT371, the topics in this course include convergence and integration. Prerequisite: MAT371 with a grade of 2.0 or higher.
3 credit hours.
MAT391 Cryptology
Spring Semester
This course is focused on modern cryptology. It begins with a study of matrix encryption and the various attacks that show it to be insecure. Algorithms such as DES (Data Encryption Standard) and AES (Advanced Enryption Standard) are examined in detail, as is public key cryptography. Quantum cryptography is also covered. Prerequisite: MAT171 with a grade of 2.0 or higher.
3 credit hours.
MAT440 Advanced Geometry*
A senior level course with various emphases including advanced topics in Euclidean geometry, transformational geometry, and projective geometry. Prerequisite: MAT345 with a grade of 2.0 or higher.
3 credit hours.
MAT470 Numerical Analysis*
Spring Semester (odd-numbered years)
This is an advanced mathematics course covering selected topics in the field of applied mathematics. These topics will include: Taylor series expansions and approximations, numerical integration and differentiation, solution of systems of equations, and numerical solution of ordinary and partial differential equations representing dynamics of physical systems. Solutions to the differential equations may be applied to mathematical modeling of vibrations, fluid flow, heat transfer, or other dynamical phenomena. The student will be required to write several computer programs for this course. Prerequisites: MAT272 with a grade of 2.0 or higher, Knowledge of C++ or Visual Basic
3 credit hours.
MAT473 Partial Differential Equations*
An introduction to the study of partial differential equations, concentrating on the 3 major partial differential equations of mathematics and physics: the Heat Equation, the Wave Equation, and LaPlace’s Equation. Prerequisite: MAT272 with a grade of 2.0 or higher.
3 credit hours.
MAT477 Complex Analysis*
A one-semester course in the theory and applications of functions of a complex variable. Topics include the Cauchy-Riemann equations, Cauchy’s theorem and contour integration, series representation of analytic functions, residue theory, and conformal mapping. Prerequisites: MAT272, MAT371 each with a grade of 2.0 or higher.
3 credit hours.
MAT480 Point-Set Topology*
Spring Semester (odd numbered years)
A study of topological spaces and related concepts, including closed and open sets, subspaces, the product topology, connectedness, compactness, and the separation axioms. Prerequisites: MAT172, MAT280 each with a grade of 2.0 or higher.
3 credit hours.
MAT490 Mathematics Internship
This off-campus internship is designed to give the students an opportunity to make use of the practical aspects of their classroom knowledge, thus developing their confidence and understanding through experience. The corporate supervisor and the faculty supervisor will evaluate student’s performance. Prerequisites: Junior standing including MAT171, MAT172, MAT271, and MAT272, each with a grade of 2.0 or higher as well as department approval of each participant’s individual program.
3 credit hours.
MAT495 History of Mathematics*
Fall Semester
A study of the historical development of mathematical ideas. The course emphasizes the contributions to mathematics made by different cultures. Prerequisite: MAT172 with a grade of 2.0 or higher and a minimum of 89 credits.
3 credit hours.
MAT496, MAT497 Reading and Research in Mathematics
Fall-Spring Semesters
The course is designed to allow the student to pursue an area of interest in the field of mathematics. This course is limited to seniors who have previously demonstrated a high degree of proficiency in mathematics.
3 credit hours.
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