Course Descriptions for Mathematics
DEVELOPMENTAL COURSES
Ma001/002 Introductory Algebra (no credit)
Real numbers, variable expressions, solving equations, linear equations in two variables, systems of linear equations, inequalities. This is a preparation course for Ma021, Ma102-3, Ma105-6, and Ma108-9.
Ma020/021 College Algebra (no credit)
Review of elementary and intermediate algebra fundamental concepts, equations and inequalities, functions and graphs, polynomial functions, systems of equations. This is a preparation course for calculus.
LOWER DIVISION COURSES
Ma102 Mathematics for the Humanities, I
Symbolic logic, number theory, functions, and other topics selected by the instructor.
Ma103 Mathematics for the Humanities, II
Set theory, combinatorics, finite probability, conditional probability, and topology.
Ma105 Finite Mathematics, I
Introduction to ways in which everyday situations can be described and studied mathematically: linear equations and systems, linear inequalities, topics from linear programming or graph theory.
Ma106 Finite Mathematics, II
Finite probability, trees, conditional probability, descriptive statistics.
Ma108 Mathematics for Educators, I
In-depth study of the concepts that underlie the mathematics of the elementary school curriculum in the United States. Topics include set theory, numeration, mathematical thinking, number theory, and the four basic operations of mathematics. This course is intended for individuals who expect to teach in primary school.
Ma109 Mathematics for Educators, II
This course is a continuation of Ma108. Topics in the second semester include the real number system, proportional reasoning, statistics, probability, and measurement systems. This course is intended for individuals who expect to teach in primary school.
Ma123 Elementary Calculus, I
Differential calculus of polynomial and rational functions; applications of calculus to problems in business, economics, and the life sciences.
Ma124 Elementary Calculus, II
Exponential and logarithmic functions, integral calculus, differential equations; applications to problems in business, economics, and the life sciences.Prerequisite: Ma123.
Ma125 Intermediate Calculus (2)
This course is intended for students (e.g.,computer science majors) who have completed 6 credits of calculus and who now wish to take Multivariable Calculus.Prerequisite: Ma106 or Ma124.
Ma141-142 Calculus, I and II (6)
Covers same content as Ma143-144; offered under College supervision at selected local high schools.
Ma143 Differential Calculus (4)
Limits and continuity; the derivative; chain rule and differentiation of algebraic functions; extrema; applications; the Mean Value Theorem.
Ma144 Integral Calculus (4)
The definite integral and the Fundamental Theorem o fthe Calculus; applications; transcendental functions; methods of integration. Prerequisite: Ma143.
Ma210 Mathematics for the Health Sciences
This course is designed for students in nursing, pre-health, and allied-health fields so that they can master skills of basic math, use of measurement systems, and strategies of problem solving needed in health-science courses. Fractional equations and formulas; ratios, proportions, and inverse variations; percents; the metric system of measurement; apothecaries' and household systems of measurement; calculations needed to determine dosages; construction and reading of graphs; introduction to statistics, including measures of central tendency and measures of dispersion.
Ma212 Elementary Statistics
Descriptive statistics, laws of probability, some standard probability functions, central limit theorem,confidence intervals, hypothesis testing. Prerequisite: Ma 106 or Ma124.
Ma213 Biostatistics
Descriptive statistics, probability distributions, confidence limits, hypothesis testing, analysis of variance, regression, correlation, enumeration data, applications to biology. Prerequisites: Bi184andMa124.
Ma214 Mathematics of Finance
Interest, partial payment, ordinary annuities, depreciation, amortization, sinkingfunds; bonds, deferred annuities, perpetuities; probability, mortality tables, life annuities, life insurance. Prerequisite: Ma106 or Ma124.
Ma216 Computer Mathematics
Number systems, internal representation, errors; logic, Boolean algebra, circuits; algorithms, efficiency; counting, probability. Prerequisites: DP180orCs231;Ma124.
Ma218 Quantitative Methods for Business Decisions
Decision theory, trees; linear programming, simplex method, sensitivity analysis; inventory theory; CPM, PERT. Prerequisites: Ma106 or Ma124.
Ma246 Discrete Mathematics
A study of the variety of finite mathematical structures and their applications. Logic and proofs; Boolean algebras and combinatorial circuits; sets, relations, equivalence relations, and recurrence relations; graphs, trees. Prerequisite:Ma144orMa230.
Ma247 Introductory Linear Algebra
Matrix calculus; vector spaces; linear independence and bases; linear transformations on vector spaces; eigenvalues and eigenvectors. Prerequisite:Ma246.
Ma248 Mathematics Technology Laboratory (1)
Software for numerical and symbolic computations (such as MatLab and Mathematica) and mathematical typesetting (such as TeX). Prerequisite:Ma144 or Ma125 or permission of the instructor.
Ma273 Multivariable Calculus, I (4)
Integration techniques, 2- and 3-dimensional vector geometry; functions of several variables, limits, directional derivatives, partial differentiation, extrema; double and triple integrals. Prerequisite:Ma144 or Ma230.
Ma274 Multivariable Calculus, II (4)
Limits and L’Hospital’s Rule; improper integrals; infinite sequences and series; power series, Taylor series; selected topics in multivariable calculus. Prerequisite: Ma273.
UPPER DIVISION COURSES
Ma335 Probability Theory
Probability spaces, random variables, expectation, variance, standard deviation, binomial, multinomial, and Poisson distributions; approximations by the normal distribution; Chebyshev’s Inequality. Prerequisite: Ma273.
Ma336 Mathematical Statistics
Law of large numbers, Central Limit Theorem, estimation of parameters,confidence intervals, test of hypotheses, sampling, regression, analysis of variance. Prerequisite: Ma335.
Ma350 College Geometry
Study of Euclidean and other geometries from an axiomatic point of view.
Prerequisite:Ma335; Ma247.
Ma375 Advanced Calculus
Realnumbers, sequences, limits of sequences and functions, continuity,differentiation, theory of integration, pointwise and uniformconvergence. Prerequisite: Ma274.
Ma377 Ordinary Differential Equations
Existence and uniqueness of solutions; first and second order equations; systems of linear differential equations; solutions in power series; applications. Prerequisite: Ma274.
Ma379 Differential Equations for Engineers (4)
This course is an expanded version of Ma377 and includes the following additional topics: the Laplace transform, partial differential equations, and Fourier series.
Prerequisite:Ma274.
Ma382 Mathematical Modeling
Thenature and philosophy of model building; algebraic and analytic modelsin the social, physical, and life sciences. Prerequisites: Ma144 orMa230; Ma247.
Ma385 Topics in Applied Mathematics
Topics from the applications of mathematics chosen according to the interest of students and faculty. Prerequisites: Ma273; Ma247
Ma387 Topics in Mathematics
Topics vary according to the interest of students and faculty. Prerequisites: Ma273; Ma247.
Ma441 Modern Algebra
Introduction to modern algebraic concepts; theory of groups, rings, and fields. Prerequisites: Ma246; Ma247.
Ma495 Undergraduate Research
Original research topic chosen in consultation with faculty and pursued under faculty supervision. Prerequisite: permission of the instructor.
Courses not offered in 2008-2010
Ma467 Functions of a Complex Variable
Ma481 Numerical Analysis
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