The Bachelor of Arts Degree in Mathematics: Requirements (41 credits): Precalculus (MT 105), Cal.culus I, II, III (MT 201-202, MT 301), Modern Geometry (MT 204), Probability and Statistics (MT 205), Linear Algebra and Matrix Theory (MT 303), Differential Equations (MT 354), Mathematics Project (MT 450-451) and three (300 or 400 level) Mathematics electives. Related courses: General Physics I, II (PHY 103-104) or General Chemistry I,II (CH 103-104) and 6- 8 credits of computer science*. Note: *Computer science courses may not include CS 110 or CS 140. Students who wish to be admitted into the mathematics major need a minimum grade of "C+" in Precalculus (MT 105) and a minimum overall GPA of 2.0.

Henri Poincare'

Minor in Mathematics Students must complete 18 credits with at least a "C" in all courses. All Mathematics major courses from Precalculus (MT 105) and above will be accepted toward the minor, as well as CS 120 (Computing Science I). General elective mathematics courses that can be applied to the minor are Mathematics Through the Ages (MT 180), MT 140 (Mathematical Explorations). Required Courses: MT 201 Calculus I and MT 205 Probability and Statistics. Students who are interested in the mathematics minor should consult with Department of Mathematical Sciences for more information.

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Bachelor of Arts Degree in Natural Sciences with a Concentration in Mathematical Sciences Requirements (34 credits): College Algebra (MT 102), Precalculus (MT 105), Geometry (MT 204), Probability and Statistics (MT 205), Calculus (MT 201), Discrete Mathematics (MT 310), Senior Project (MT 450-451), Computing I & II (CS 120, 210), and a math or computer science elective (300 or 400 level). Related course: One science course.

Georg Cantor

In Spring of 2002 Sandi King, Krystal Paul, and Michelle de Fino presented their projects on the topics of Kinesiology and Applied Mathematics, Fractals, and the Etymology of Numbers. Mathematics Project (MT 450-451) The Math Project is an exciting time for Felician mathematics majors to put to use all their skills and develop a project to presented to the entire Felician community. MT 450 - 451 Mathematics Project 2, 2 credits This is a research project designed to integrate the abstract concepts of mathematics with applications in business or in the biological, physical, social sciences, or education. The student pursues an individual research project under faculty supervision and submits a written and oral report at the close of the academic year. (MT 450: Fall, MT 451: Spring) Prerequisite: Permission of the instructor.

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Courses Offered by the Department of Mathematical Sciences

ADVISING TIP SHEET & CATALOG UPDATE .doc format
Flowchart of courses:gif format, pdf format 

MT 001
Basic Skills in Mathematics (Pre-algebra)
4 credits (in-house)
A refresher course in basic arithmetic. The criterion for placement in the course is failure to pass the pre-algebra portion of the College's Basic Skills Placement Test. Topics include fractions, decimals, ratio and proportion, percents, rational numbers and equation solving. (Fall, Spring)

MT 002
Basic Skills in Mathematics (Algebra)
4 credits (in-house)
The principal objective of this course is to bring students up to college proficiency in basic algebra skills. The criterion for placement in the course is failure to pass the algebra portion of the College's Basic Skills Placement Test. This course presumes mastery of the basic computational skills covered in MT 001. Topics include solving equations (with applications), polynomials, factoring, graphing linear equations and inequalities, solving systems of linear equations and radical expressions. (Fall, Spring)

MT100
Mathematics for the Health Sciences
2 credits
This course is designed to provide students with a strong foundation and depth in elementary mathematical ideas for the health related fields.  The principal objective of this course is to bring students in the health related fields up to college proficiency in basic computation and algebra skills related to the health profession.  (Fall, Spring)
Prerequisite:  MT002 and must be Health Sciences major

MT 101
Patterns and Problem Solving
1 credits
This course is designed to provide students with a strong foundation in problem solving strategies along with depth in understanding the underlying concepts of elementary mathematical ideas. Topics will include analysis of problems, inductive and deductive reasoning, numerical patterns, principles of count and some basic number theory. (Fall)
Prerequisite: MT 002.

 MT 102
College Algebra
3 credits
An extension of the basic algebraic skills reviewed in MT 002 and presumes a mastery of those skills. Topics include linear equations and inequalities, solving systems of equations (2 and 3 variables), rational expressions and equations, quadratic equations, functions and logarithms. (Fall, Spring)
Prerequisite: MT 002 or equivalent.

MT 105
Precalculus
4 credits
This course aims to develop an appreciation for mathematics and provides a preparation for calculus. Topics include the real number system, basic concepts of algebra and analytic geometry, equations of the first and second degree and their graphs, algebraic, logarithmic, trigonometric and exponential functions and their applications. (Fall, Spring)
Prerequisite: Three years of high school mathematics or equivalent, or permission of instructor.

MT 140
Mathematical Explorations
4 credits
This course focuses on the conceptual understanding of basic mathematics topics through student exploration and investigation. Topics covered will include: the fundamental operation of arithmetic, number theory, functions, proportional reasoning, data analysis, geometry, measurement and historical perspectives. Oral and written communication will be emphasized. (Fall,Spring)
Prerequisite: MT 002 or equivalent

MT 180
Mathematics Through the Ages
3 credits
An examination of the development of mathematics and its various branches as tools for understanding ideas and nature. Themes include comparative mathematical systems; the origin of whole, real and rational numbers; the evolution of geometry, algebra, calculus, and probability theory. Problem solving skills are emphasized. (Fall, Spring)
Prerequisite: MT 002 or equivalent

This course will satisfy as a CO210 replacement for those that need it.

MT 190
Business Calculus
3 credits
This course, designed for business majors, will introduce exponential and logarithmic functions. Techniques of differentiation and its applications and topics in integration will be introduced. (Fall, Spring)
Prerequisite: College Algebra (or equivalent) or permission of instructor.

 MT 200
Quantitative Reasoning
3 credits
This course examines various aspects of quantitative literacy such as data representation and interpretation, relationships of numbers (number sense), variables and functions, unit analysis, spatial reasoning, uncertainty, probability, and coincidence. Integration of numeracy and literacy skills will be stressed. (Spring)
Prerequisites: MT 002, EN 002, PH 100 (or equivalent) and CS 110 (or equivalent), or permission of the instructor.

 MT 201
Calculus I
4 credits
The first of a three-semester sequence in Calculus, this course is designed to develop the basic concepts of differential Calculus and their applications. Topics include continuous and discontinuous functions, plane analytic geometry, slope of a curve, rate of change of functions, limit theorems, derivations of algebraic, exponential, logarithmic, trigonometric and implicitly defined functions, the mean value theorem, curve sketching and maximum-minimum problems. (Fall)
Prerequisite: Three years of high school mathematics or MT 105.

 MT 202
Calculus II
4 credits
A continuation of Calculus I, this course is designed to develop the concepts of integral Calculus and its applications. Topics include the integral, techniques of integration, applications of the definite integral to physical problems, integration involving inverse trigonometric and hyperbolic functions, L'Hopital's rule and Taylor polynomials. (Spring)
Prerequisite: MT 201.

 MT 204
Modern Geometry
3 credits
This course deals with the historical evolution of geometric concepts, Euclidean and non-Euclidean geometries. Topics include inductive and deductive reasoning, postulates, symmetry, tessellations, congruence, similarity, geometries, coordinate and transformational geometry. (Spring)
Prerequisite: MT 102 or equivalent.

 MT 205
Probability and Statistics
3 credits
This introductory course covers descriptive statistics and most of the fundamental concepts of inferential statistics. Topics include populations, random samples, measures of central tendency and variability, probability, binomial and normal distributions, standard scores, confidence intervals, hypothesis testing, student's "t," Chi square, analysis of variance, linear regression and correlation, and some non parametric statistics. (Fall)

 MT 206
Statistics II
3 credits
This course introduces the concepts of Bayesian Analysis. Statistical decision making under conditions of uncertainty is covered. The chi-square and F-distributions are introduced. Additional topics include analysis of variance, linear correlation, linear regression, contingency tables, time series analysis involving seasonal and cyclic trends, index numbers and cross-tabulations. (Spring)
Prerequisite: MT 205.

 MT 230
The Mathematics of Politics
3 credits
This is an introduction to the to the quantitative aspect of politics. It will introduce the student to subjects such as Apportionment, Fair Division, Conflict Strategies, and Voting Schemes. (Spring)
Prerequisite: MT 200 or Equivalent

 MT 280
Special Topics I
1-4 credits
This course varies by semester and instructor. Topics may include topics such as using new or current technology, new or current software, and new and exciting innovations in mathematics, statistics, or mathematics education. This course may augment an already existing course. (On demand)
Prerequisites: Instructor's Permission

 MT 301
Calculus III
4 credits
This course completes the sequence of topics begun in MT 201 and MT 202: polar coordinates, parametric equations, elements of solid and analytical geometry, vectors, partial differentiation, multiple integrals, line integrals, infinite series and functions of several variables. (Fall)
Prerequisite: MT 202.

 MT 303
Linear Algebra and Matrix Theory
3 credits
An introduction to linear algebra and matrix theory and some of its significant applications; it may run concurrently with Calculus. Topics include: linear equations and matrices, determinants, vectors and vector spaces, linear transformations, eigenvalues and eigenvectors, and applications. (Spring)
Prerequisite: MT 105 or permission of instructor.

 MT 310
Discrete Mathematics
3 credits
An introduction to the concepts of set theory, directed graphs, combinatorics, logic and proof, Boolean algebra, recurrence relations, automata theory and formal languages, equivalence relations and partial orderings. (Fall)
Prerequisite: MT 105 or permission of instructor.

 MT 325
Geometry II
3 credits
This course covers topics in other geometries such as finite geometries, geometric transformations, convexity, projective geometry, topological transformations, and brief excursions into point set topology, knot theory, orientable and non-orientable surface, and fractal geometry. (Fall)
Prerequisites: MT 204

 MT 354
Differential Equations
4 credits
A course in ordinary differential equations with technical applications. Topics include differential equations of the first order, approximate methods, linear differential equations, nonhomogeneous equation, La Placean transforms, systems of differential equations, power series methods and partial differential equations. (Spring)
Prerequisite: MT 301.

 MT 410
Foundations of Abstract Algebra
3 credits
This course develops the introductory theory of groups, rings and fields. Topics include the fundamental concepts of set and group theory, rings, fields and integral domains. (Fall)
Prerequisite: MT 301 or permission of instructor.

MT 420
Introduction to Complex Analysis
4 credits
This course provides a comprehensive introduction to complex variable theory and its applications. It includes an introduction to the techniques of complex analysis that are frequently used by scientists and engineers. Topics include complex numbers, analytic functions, Taylor and Laurent expansions, Cauchy's theorem, and evaluation of integrals by residues, Laplace transforms and Fourer series. (Fall)
Prerequisite: MT 301

 MT 450 - 451
Mathematics Project
2, 2 credits
This is a research project designed to integrate the abstract concepts of mathematics with applications in business or in the biological, physical, social sciences, or education. The student pursues an individual research project under faculty supervision and submits a written and oral report at the close of the academic year. (MT 450: Fall, MT 451: Spring)
Prerequisite: Permission of the instructor.

 MT 455
Advanced Calculus I
3 credits
This course examines topics in calculus from an advanced standpoint. It develops calculus topics from creation of the real numbers, functions and their properties, to differentiation. Students will be required to write proofs and solve generalizations of problems as seen in calculus. (Fall)
Prerequisite: MT 301

 MT 456
Advanced Calculus II
3 credits
This course examines topics in calculus from an advanced standpoint. It continues the topics that began in Advanced Calculus II topics from differentiation, to integration and infinite series. Students will be required to write proofs and solve generalizations of problems as seen in calculus. (Spring)
Prerequisite: MT 455

 MT 480
Special Topics II
1-4 credits
This course varies by semester and instructor. Topics may include topics such as using new or current technology, new or current software, innovations in mathematics, statistics, or mathematics education. This course may also be used for subjects not yet offered such as topology, algebraic, topology, dynamical system, partial differential equations, applied statistics, applied calculus, advanced linear algebra among others. This course may augment an already existing course. This course is intended to run for a group of and not for a single student. (On demand)
Prerequisite: Instructor's Permission

 MT 490
Independent Study
1-4 credits
With the approval of the instructor, a student may arrange to pursue a course of independent study in a specific area of mathematics, Statistics, or Mathematics Education. The course will involve tutorial meetings with the instructor, independent reading and work, and an in-depth research project. The course is normally taken by seniors or juniors and may be taken in situations when schedule conflicts prevents a student from taking a regularly scheduled mathematics elective. (On demand)
Prerequisite: Instructor's Permission

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Faculty