Mahtematics Courses

MA 090 ELEMENTARY ALGEBRA 3
Arithmetic of integers and fractions. Real numbers. Algebraic expressions,
equations, inequalities and their applications. Basics of graphing. Exponents
and polynomials. (Developmental—not applied toward graduation requirements.)

MA 092 WORKSHOP IN BASIC MATHEMATICAL SKILLS 3
A computer-assisted course providing a self-motivated student the opportunity
to improve skills in mathematics at the pre-algebra, introductory algebra and/or
intermediate algebra levels. Curriculum provides a customized mathematics
study plan and learning resources to assist student in strengthening weak skill
areas.

MA 095 INTERMEDIATE ALGEBRA 3
Study of radicals, exponents, polynomials, rational expressions, inequalities,
linear and quadratic equations, functions and graphs as well as applications of
these. Prerequisite: Qualifying math placement or a grade of C or better in MA
090. (Developmental—not applied toward graduation requirements.)

MA 115 LIBERAL ARTS MATHEMATICS 3
A course which ensures that the student has a mastery of the concepts, methods,
and practical applications of quantitative reasoning, with emphasis on logical
reasoning and problem solving skills. Included will be the study of sets and
functions; the concept, function, and solutions of algebraic equations and inequalities;
application and interpretation of graphs and statistical data; principles
of mortgage, investment, and personal finance; computer applications in mathematics;
and the application of mathematical principles in deriving solutions to
non-routine, cross-disciplinary problems. Prerequisite: Qualifying math placement,
a grade of C or better in MA 095, or consent of the instructor.

MA 118 COLLEGE ALGEBRA 3
Radical exponents, inequalities, elementary analytical geometry, functions and
graphs, polynomial equations, systems of equations, logarithmic and exponential
functions, elementary sequences, binomial theorem, and their applications.
Prerequisite: Qualifying math placement.

MA 119 PRECALCULUS 3
Functions and their graphs. Polynomials and rational functions. Exponential,
logarithmic and trigonometric functions and equations. Trigonometric identities,
equations and additional topics in trigonometry. Systems of equations,
introduction to matrices and determinants. The binomial theorem. Sequences
and series. Topics in analytic geometry (includes conics, polar coordinates and
parametric equations as time permits). Prerequisite: Placement into MA 115 or
consent of instructor.

MA 151 CALCULUS I 3
Functions and their graphs; limits; the derivative and some of its applications;
the integral; the fundamental theorem of calculus; some applications of the
integral. Prerequisite: Placement or consent of instructor.

MA 152 CALCULUS II 4
Methods of integration; improper integrals; trigonometric and hyperbolic functions
and their inverses; analytic geometry; infinite sequences and series. Prerequisite:
MA 151 or equivalent.

MA 204 COMPUTER PROGRAMMING I 3
This course is designed to introduce students to the concept of programming by
using what is currently the most common programming language. Students will
learn the basic skills necessary to construct simple programs with a graphical
user interface by using the event-driven model. Supervised programming tasks
and reading will provide the main learning experience.

MA 220 DISCRETE MATHEMATICS 3
Elementary set theory; elementary logic; methods of proofs; functions and relations.
Algorithms. Counting and elementary combinatorics, recurrence relations.
Introduction to graphs and trees, introduction to Boolean functions, Matrices.
Prerequisite: Placement into MA 115 or consent of instructor.

MA 240 ELEMENTARY DIFFERENTIAL EQUATIONS 3
Ordinary differential equations of first order, higher order linear equations.
Linear equations with constant coefficients, variation of parameters, Laplace
transform methods, series methods, numerical methods. Applications to physical
sciences and engineering. Topics also include small systems of linear differential
equations as time permits. Prerequisite: MA 152 or consent of instructor.

MA 251 CALCULUS III 3
Algebra and calculus of vectors; functions of several variables; partial differentiation;
multiple integration; vector analysis. Prerequisite: MA 152 or consent of
instructor.

MA 303 MATHEMATICS FOR CHILDREN I 3
An integrated approach to the concepts and methods of elementary school
mathematics. NCTM’ s Principles and Standards, California Mathematics
Framework, state-adopted textbooks and their relation to elementary math curriculums.
Students’ mathematical thinking and learning. Traditional and alternative
assessment methods in mathematics. Manipulatives, calculators, computers
and their role in elementary mathematics teaching and learning. Activities and
field experiences. Problem solving strategies. Logical reasoning, exploration
and conjecture-making. Number sense, place value, and number systems. Fundamental
operations of arithmetic and their properties. Standards and alternative
algorithms. Mental computation, estimation, reasonableness. Prerequisite: A
grade of C or better in MA 115, or consent of instructor.

MA 304 MATHEMATICS FOR CHILDREN II 3
Continuation of MA303. An integrated approach to the concepts and methods
of elementary school mathematics. Students’ mathematical thinking and learning.
Multicultural and gender issues in mathematics education. Traditional and
alternative assessment methods in mathematics. Manipulatives, calculators,
computers and their role in elementary mathematics teaching and learning. Activities
and field experiences. Problem solving strategies. Logical reasoning,
exploration and conjecture-making. Connectedness of different mathematical
topics, their representations, and the relationship of mathematics to other subject
areas. Fractions and decimals. Ratios, proportions, and percents. Patterns
and relationships. Elementary number theory, algebra, functions, and graphing.
Geometry and measurement. Data analysis, statistics, and probability. Prerequisite:
MA 303

MA 305 TEACHING SECONDARY MATH 3
A study of methods, techniques and materials of instruction appropriate to
mathematics teaching in high school. The secondary school mathematics in
relation to the NCTM Standards, the California Framework and state-adopted
textbooks. Topics also include the use of technology and manipulatives in
teaching, designing lessons to allow learners to develop knowledge, comprehension
and problem solving skills in mathematics; developing and interpreting
tests and other assessment strategies. Employing group learning and discovery
learning strategies.

MA 310 LINEAR ALGEBRA 3
Matrix algebra, solution of linear systems. Notions of vector space, independence,
basis, dimension. Linear transformations, representation by matrices,
change of bases, determinants. Topics also include eigenvalues and eigenvectors,
special matrices and canonical forms as time permits. Prerequisite: MA
151 or 220 or consent of instructor.

MA 315 FOUNDATIONS OF GEOMETRY 3
A study of the development and fundamental concepts of Euclidean geometry.
Parallelism and similarity, measurements, ruler and compass constructions.
Theorems and proofs with emphasis on student exposition. Geometry as a logical
system based upon postulates and undefined terms. Some topics from non-
Euclidean geometry. Prerequisite: Placement into MA 115 or consent of instructor.

MA 320 STATISTICS 3
A basic course in statistical methods specific to the social sciences. Topics discussed
include frequency distributions, sampling theory, probability, measures
of central tendency and variability, linear regression, hypothesis testing, significance
tests, correlation coefficients, analysis of variance, and experimental design.
Prerequisite: Placement into MA 115.

MA 325 INTRODUCTION TO TOPOLOGY 3
Elementary set theory, topological spaces, separation axioms, continuous mappings,
homeomorphisms, product and quotient spaces, compactness, completeness,
convergence, connectedness, embedding and extension theorems, metric
spaces, and compactification. Prerequisite: MA 251 or consent of instructor.

MA 340 NUMERICAL METHODS 3
Zeros of functions, interpolation and approximation of functions, numerical
differentiation and integration, numerical solution of differential equations and
boundary value problems. Solutions of systems of linear equations, and the
eigenvalue problem. Prerequisites: MA 240, MA 310.

MA 350 MATHEMATICAL LOGIC 3
Syntax and semantics of formal languages; sentential logic, proofs in first order
logic; soundness and compactness theorems and applications; the Lowenheim-
Skolem theorems; recursive set and functions; Gödel’s completeness and incompleteness
theorems; undecidable theories. Prerequisite: MA 220 or consent
of instructor.

MA 351 MATHEMATICAL MODELING 3
A system approach to the structuring of mathematical models; linear programming;
network analysis; dynamic programming; other operations research techniques.
P rerequisite: Placement into MA 115.

MA 381, 382 DIRECTED RESEARCH 3
Directed research on a topic not covered in organized classes. May be repeated,
but the total number of credit hours in directed research may not exceed ten
percent (10%) of the total number of credit hours required for graduation. Requires
permission of Department Chair, academic advisor, and supervising professor,
fee.

MA 420 ABSTRACT ALGEBRA 3
Introduction to the fundamental algebraic structures: groups, rings and fields.
Topics include permutation groups, subgroups, quotient groups, direct products,
homomorphisms and Cayley’s theorem. Rings, integral domains, fields.
Euler’s and Fermat’s theorems. Rings of polynomials, factorization. Field
extensions and Euclidean constructions if time permits. Prerequisite: A 300-
level math course or consent of instructor.

MA 425 ELEMENTARY NUMBER THEORY 3
Introduction to the elementary theory of numbers, including the theory of divisibility,
fundamental theorem of arithmetic, primes, congruences and diophantine
equations, Fermat’s theorem, quadratic residues, some number theoretical functions.
Prerequisite: A 300-level math course or consent of instructor.

MA 430 INTRODUCTION TO REAL ANALYSIS 3
The set of real numbers, least upper bound axiom, sequences, series, metric
spaces. Continuity, differentiation of real valued functions of real variables,
theory of integration. Sequences and series of functions, uniform continuity,
uniform convergence, interchange of limits. Prerequisite: MA 251 or consent
of instructor.

MA 440 COMPLEX VARIABLES 3
The algebra and geometry of complex numbers, sequences and series of complex
numbers, derivatives and integrals of functions of a complex variable. The
Cauchy-Goursat theorem, the Cauchy Integral Formula and its consequences,
Taylor series, classification of singularities, the Residue Theorem, Laurent series,
harmonic functions, conformal mappings, and applications as time permits.
Prerequisite: MA 251 or consent of instructor.

MA 481, 482 DIRECTED RESEARCH 1-3
Directed research on a topic not covered in organized classes. May be repeated,
but the total number of credit hours in directed research may not exceed ten
percent (10%) of the total number of credit hours required for graduation. Requires
permission of Department Chair, academic advisor, and supervising professor,
fee.

MA 495 SENIOR SEMINAR 1
Topics in the mathematical sciences, selected to meet current faculty and student
interest, which are not treated to any great extent in regularly scheduled
courses. Meets weekly for an hour for the presentation of various topics by
students, faculty or visiting speakers. Prerequisite: Senior standing or consent
of instructor. (CAPSTONE)