Ma001 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 Ma110, Ma102-3, Ma105-6, and Ma108-9..
LOWER DIVISION COURSES
Ma101 Precalculus
Brief review of basic algebraic concepts; functions (general concept, linear, quadratic); polynomial and rational functions; exponential and logarithmic functions; summary of trigonometric functions; applications.
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, graph theory, or mathematics of finance.
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.
Ma115 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.
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: Ma124.
Ma132 Statistics for the Life Sciences
Basic methods of data analysis. Topics include displaying data graphically; measures of central tendency and variability; probability concepts; normal, t, chi-square, and F distributions; sampling distributions; confidence intervals and estimation; hypothesis testing; regression and correlation analysis; analysis of variance; contingency tables; use of statistical software. Biological applications are emphasized.
Ma133: Calculus for the Life Sciences(4)
Polynomial, rational, and trigonometric functions; limits, continuity, derivatives; graphs, maximum-minimum problems; exponential and logarithmic functions, growth and decay problems; integrals, basic integration techniques, applications of the integral. Biological applications are emphasized.
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 of the Calculus; applications; transcendental functions; methods of integration. Prerequisite: Ma143.
Ma212 Elementary Statistics
Descriptive statistics, laws of probability, some standard probability functions, central limit theorem, confidence intervals, hypothesis testing. Prerequisite: Ma 106 or Ma124.
Ma214 Mathematics of Finance
Interest, partial payment, ordinary annuities, depreciation, amortization, sinking funds; 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: Cs180orCs231;Ma106 or 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:Ma144 or Ma125.
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 Ma125.
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
Ma302/Ma502 Elementary Mathematical Functions and Models for Middle School Functions
and equations, arithmetic and geometric sequences, mathematical methods, linear functions, difference equations, quadratic and cubic functions, exponential and logarithmic functions, domain and range, fitting a line to data and modeling, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
Ma304/Ma504 Statistics, Probability, and Discrete Mathematics for Middle School
Topics
include collecting, summarizing, and interpreting data, sampling techniques, fundamental concepts of probability, counting techniques, Euler and Hamiltonian circuits, shortest distance algorithms, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
Ma306/Ma506 Geometry for Middle School
Metric and US standard measurement, inductive and deductive reasoning, Euclidean geometry of two and three-dimensional figures including, but not limited to: area, perimeter, volume, surface area, congruency, similarity, rotation and transformation. Coordinate geometry, fractals, geometry in the world around us, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
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: Ma246.
Ma375 Advanced Calculus
Real numbers, 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
The nature and philosophy of model building; algebraic and analytic models in the social, physical, and life sciences. Prerequisites: Ma247; Ma273.
Ma385 Topics in Applied Mathematics
Topics from the applications of mathematics chosen according to the interest of students and faculty. Prerequisites: Ma247; Ma273.
Ma387 Topics in Mathematics
Topics vary according to the interest of students and faculty. Prerequisites: Ma247; Ma273.
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
Graduate Education Courses
Ma502/Ma302 Elementary Mathematical Functions and Models for Middle School Functions and equations, arithmetic and geometric sequences, mathematical methods, linear functions, difference equations, quadratic and cubic functions, exponential and logarithmic functions, domain and range, fitting a line to data and modeling, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
Ma504/Ma304 Statistics, Probability, and Discrete Mathematics for Middle School
Topics
include collecting, summarizing, and interpreting data, sampling techniques, fundamental concepts of probability, counting techniques, Euler and Hamiltonian circuits, shortest distance algorithms, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
Ma506/Ma306 Geometry for Middle School
Metric and US standard measurement, inductive and deductive reasoning, Euclidean geometry of two and three-dimensional figures including, but not limited to: area, perimeter, volume, surface area, congruency, similarity, rotation and transformation. Coordinate geometry, fractals, geometry in the world around us, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.
