24 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MATH 105Quantitative Literacy3
A course focusing on mathematical and statistical reasoning important for decision-making in everyday life. It integrates quantitative literacy with numeracy, mathematical modeling, probability, and statistical thinking. Examples are drawn from areas such as medicine, the environment, and finance. Concepts are investigated through hands-on activities that develop problem-solving skills, and there is an emphasis on clear communication of mathematical ideas.
An introduction to some modern concepts of mathematics and to their use in mathematical models. Topics include sets, algebra, systems of equations, linear programming, matrices, probability and an introduction to statistics. Applications of these topics to the social, behavioral, managerial and biological sciences are considered. Can not be taken for if credit has already been received for Math 220.
An introduction to basic methods in exploratory data analysis, experimental design, and statistical inference. Included are graphic displays, numeric measures of center and variation, regression and correlation, normal probabilities, fundamentals of experimental design, and confidence intervals and hypothesis tests for means and proportions. Material covered has application to biology, economics, nursing, political science, psychology, sociology and other fields. Use of statistical software is integral to much of the course. Cannot be taken for credit if credit has already been received for MATH 308.
An introduction to strategies of problem solving using recreational mathematics. Analysis of problems arising from logical puzzles, games, card tricks and geometric puzzles will systematically introduce students to a variety of problem-solving techniques and mathematical topics. Topics may include logic, the pigeon hole principle, applications of algebra, mathematical induction, number theory, graph theory and game theory. Students will be encouraged to solve problems on their own using creative strategies.
Intended to provide the background necessary for the calculus sequence. Included are topics from algebra, functions, graphs, linear functions, quadratics, conics, trigonometric functions, exponentials, inverse functions, logarithms, and inverse trigonometric functions. The course should be taken only by students who intend to begin the calculus sequence.
A course in the basic concepts of single-variable calculus. Included are functions and their graphs, limits, derivatives, applications of the derivative, and an introduction to integration. Use of computer algebra software is integral to the course.
Rectangular, cylindrical, and spherical coordinate systems in three dimensions, vectors, functions of several variables, limits and continuity, partial derivatives, optimization techniques, multiple integrals (including alternate coordinate systems).
The second half of the single-variable calculus. Included are techniques of integration, applications of integration, infinite sequences and series, polar coordinates, and complex numbers.
Probability theory, random variables, mathematical expectation, binomial, Poisson, normal and other distributions, moment-generating function technique.
Probability theory, random variables, binomial, Poisson, normal and other distributions, limit theorems and applications to hypothesis testing, estimation, regression.
Basic theory of ordinary differential equations. Equations of first order and first degree, linear differential equations and linear systems, operational methods, numerical methods, solution in series, existence and uniqueness theorems.
A preparation for the more abstract upper-division courses. Included are sets, logic, mathematical proof, mathematical induction, partial orders, equivalence relations, and functions.
Included are elementary set theory and logic, mathematical induction, principles of counting including combinations and permutations, distributions, binomial and multinomial coefficients, pigeon-hole principle, and Stirling numbers. Other topics selected from generating functions, finite state machines and languages, graph theory, Boolean algebra. Offered alternate years.
Parameterization of curves and surfaces, curves in 3-space, arc length, surface area, gradient, divergence, curl, line integrals, surface integrals, theorems of Green, Gauss, and Stokes.
Divisibility, primes, congruences, arithmetic functions, quadratic residues, partitions and generating functions. Offered when there is sufficient student interest.
An introduction to the theory of functions of complex variables, derivatives and integrals, Cauchy's theorem, theory of residues, applications to mathematical physics. Offered when there is sufficient student interest.
Selected topics in modern mathematics and operations research that have application to the social, life and managerial sciences. Emphasis on problem solving through model building. Possible topics include Markov chains, linear programming, optimization, graph theory, combinatorics, game theory, decision theory, queuing theory, simulation. Offered alternate years.
Supervised seminar study with oral and written presentations. Seminar groups are assigned topics from areas such as geometry, graph theory, number theory, or applied mathematics. Must be taken during January Term on campus.
Solution of second order linear equations including the heat, potential and wave equations; initial and boundary value problems; Fourier series; numerical methods. Offered when there is sufficient student interest.
An introduction to fundamental algebraic structures, focused primarily on group theory. Included are groups, subgroups, cyclic groups, permutation groups, isomorphisms, homomorphisms, direct products, normal subgroups, factor groups, and an introduction to rings, integral domains, and fields.
A study of the theoretical underpinnings of calculus. Included are the topology of the real line, limits, continuity, differentiation, and Riemann integration.
Supervised independent study with one oral and several written presentations. Students select topics from such areas as algebra, analysis, applied mathematics and geometry.
All senior Math majors are required to enroll in the Senior Capstone Seminar, convened every spring semester. Seminar topics will vary from year to year, depending on which faculty member is supervising the seminar. The capstone course is intended to be conducted in true seminar style, with its participants responsible for class investigations and presentations, as suggested by the faculty supervisor. In addition to the study of the chosen seminar topic, there will be a significant writing component with an emphasis on clear communication of mathematics.
