MATH 0198, 0197
4 credits*
Fundamental Mathematics
Precollege mathematics: basic numerical concepts, fractions, operations with
signed numbers, introductory algebra, graphs, operations of polynomials,
simple and simultaneous linear equations. MATH 0198, MATH 0197 is designed
for students with deficiencies in both computational mathematics and
elementary algebra. Placement in MATH 1098, MATH 0197 is made by the Campus
Learning Center and based on performance on the NJCBSPT.
*Prerequisite credit only.
Fall
MATH 0298
3 credits*
Algebra Skills
Precollege mathematics: basic arithmetical concepts, graphs and charts,
introductory algebra. No credit toward graduation requirements.
*Prerequisite credit only.
Fall, Spring
Spring 99 Syllabus
MATH 1104
3 credits
Intermediate Algebra
A course for students who have passed or tested out of MATH 0299 Basic
Mathematics, but need additional preparation for MATH 1107 Precalculus or
MATH 1128 Mathematical Methods. Topics will range from linear and quadratic
equations to exponential and logarithmic functions.
Prerequisites: MATH 0298 Algebra Skills or placement.
Fall, Spring
Spring 99 Syllabus
MATH 1107
4 credits
Precalculus
Algebraic operations, factoring, exponents, radicals; quadratic and higher
degree equations; systems of linear equations; functions and their graphs;
exponential, logarithmic, and trigonometric functions and their graphs;
trigonometric identities; triangle trigonometry.
Prerequisites: placement or MATH 0298 Algebra Skills.
Fall, Spring
MATH 1126
3 credits
Contemporary Mathematics
An introduction to mathematical concepts relevant to the modern world.
Topics include graph theory, planning and scheduling, linear programming,
analysis of data, proability, social choice, weighted voting systems,
game theory, growth and form, the size of populations, measurement and
patterns. Meets mathematics core requirement (in place of MATH 1128
Mathematical Methods) for Becton College students majoring in humanities
or social or behavioral science disciplines.
Fall, Spring
MATH 1128
3 credits
Mathematical Methods
Linear and nonlinear equations and functions, exponential and logarithmic
functions, simple and compound interest, annuities, matrices and simultaneous
equations, sets, introdution to calculus.
Prerequisites: successful completion of MATH 0298 Algebra Skills or
placement test.
Fall, Spring
Spring 99 Syllabus
MATH 1129
3 credits
Introduction to Statistics
Elementary probability and statistics, descriptive and visual statistics,
elements of probability, sampling distribution, estimation theory, test
of hypothesis and other aspects of statistical inference.
Fall, Spring
MATH 1133
3 credits
Applied Statistics
An introduction to statistics with applications to the social, behavioral,
and natural sciences. Introduction to computational statistics using a major
statistical computer package.
Fall, Spring
MATH 1201
4 credits
Calculus I
Slope of a straight line, equations of lines, slope of curve, rate of
change function, derivatives of algebraic functions, maxima and minima,
Mean Value Theorem, indefinite and definite integrals, area under curve,
volumes, surface of revolution.
Prerequisites: intermediate algebra and trigonometry.
Fall, Spring
Spring 99 Syllabus
MATH 2202
4 credits
Calculus II
Differentiation and integration of transcendental functions, log functions,
methods of integration, indeterminate forms, infinite series, Taylor series,
conic sections.
Prerequisite: MATH 1201 Calculus I
Fall, Spring
Spring 99 Syllabus
MATH 2203
3 credits
Calculus III
Lines and planes in 3-space. Vectors, functions of several variables,
partial derivatives, multiple integrals, line integrals.
Prerequisite: MATH 2202 Calculus II
Fall, Spring
MATH 2210
3 credits
Differential Equations
First order differential equations and applications, linear differential
equations and applications, Laplace transforms, systems of equations,
solutions in terms of power series, partial differential equations.
Prerequisite or corequisite: MATH 2203 Calculus III
Spring
MATH 2255
3 credits
Discrete Structures
Set theory, algebraic structures, Boolean algebra and propositional logic,
graph theory and other aspects of combinatorial mathematics.
Prerequisite: MATH 1201 Calculus I
Fall
MATH 3220
3 credits
Linear Algebra
Vector spaces, linear independence, bases, linear transformation, matrix
algebra, inner product, spaces, linear equations, special topics.
Prerequisite: MATH 2202 Calculus II
Fall
MATH 3225
3 credits
Abstract Algebra
Elements of the theories of groups, rings, integral domains and fields,
polynomial rings, factorization theory and field extensions.
Prerequisites: MATH 2202 Calculus II and MATH 3220 Linear Algebra
MATH 3231, MATH 3232
6 credits (3 credits each semester)
Advanced Calculus I, II
Functions of a single variable, sequences, limits, continuity, fundamental
theorems, mean value theorems, improper integrals, Taylor's theorem,
uniform convergence, power series. Fourier series, functions of several
variables, vectors, continuity, partial differentiation, geometrical
applications, implicit functions, Gauss', Green's and Stoke's theorems.
Prerequisite: MATH 2203 Calculus III
MATH 3303
3 credits
Probability and Statistics
Samples spaces, random variables, discrete and continuous distributions,
limit theorems, confidence intervals, tests of hypotheses, regression and
correlation.
Prerequisite: MATH 2202 Calculus II
MATH 3304
3 credits
Combinatorics
Arrangements, selections, and distributions. Generating functions, partitions,
and reccurence relations. Inclusion-exclusion principle. Graph models and
isomorphisms. Planarity. Euler and Hamilton curcuits. Graph coloring.
Trees and graph algorithms. Application particularly to computer science.
Prerequisite: CSCI 2211 or MATH 2255 Discrete Structures
MATH 3309
3 credits
Numerical Analysis: Analysis
Numerical solution of problems in analysis using the computer interpolation
approximation, numerical integration and differentiation, solution of nonlinear
and differential equations.
Prerequisites: CSCI 1205 Introduction to Computer Programming: C++, CSCI 2206
Computer Programming II or CSCI 1207 Introduction to C Programming and MATH
2210 Differential Equations
MATH 3310
3 credits
Numerical Analysis: Linear Algebra
Numerical solution of problems in linear algebra and related subjects using
the computer.
Prerequisites: CSCI 1205 Introduction to Computer Programming: C++, CSCI
2206 Computer Programming II or CSCI 1207 Introduction to C Programming,
MATH 2210 Differential Equations and MATH 3220 Linear Algebra
MATH 3311
3 credits
Probability Theory
Sample spaces, random variables and their probability laws, sequences and
series of random variables, limit theorems. An introduction to stochastic
processes.
Prerequisite: MATH 2202 Calculus II
Fall
MATH 3316
3 credits
Partial Differential Equations
Derivation of partial differential equations, boundary conditions, method of
separation of variables. Fourier series, curvilinear coordinates, orthogonal
functions, generating functions and classification of equations.
Prerequisites: MATH 2210 Differential Equations
MATH 3317
3 credits
Real Variables
Real number system. Introduction to measure theory and Lebesque integration.
Convergence theorems and special topics.
Prerequisites: MATH 3231, MATH 3232 Adavanced Calculus I, II
MATH 3335
3 credits
Complex Variables
Analytic functions, Cauchy's integral and theorem and consequences, calculus
of residues, entire and meromorphic functions, conformal mapping.
Prerequisites: MATH 3231, MATH 3232 Advanced Calculus I, II
MATH 3360
3 credits
Topology
Metric and topological spaces, continuity, compactness, connectedness,
homotopy, homology and special topics.
Prerequisites: MATH 3225 Abstract Algebra and MATH 3231 Advanced Calculus I
MATH 3371
3 credits
Modeling and Simulation I
Definition of systems. Input, output, and state variables. Continuous and
discrete dynamical systems. Differential equations and their use in modeling.
The CSMP language and its use.
Prerequisites: MATH 2203 Calculus III and knowledge of a programming
language
Spring
MATH 4401
6 credits (3 credits each semester)
Selected Topics in Mathematics
Advanced studies in special fields of mathematics.
MATH 4403
1-3 credits each semester
Selected Studies in Mathematics
Studies in an area of mathematics.
MATH 4477
1-3 credits each semester
Honors Research and Thesis
MATH 4800
1-3 credits each semester
Independent Study in Mathematics
Independent study under the direction of a specific faculty member after
consultation with the department chairperson.
Graduate Courses
Graduate courses may be taken by seventh- or eighth-semester students who
receive the approval of the department chairperson. Interested students
should see Graduate Studies Bulletin for list of courses and
descriptions.