17 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 1130Fundamental Concepts of Mathematics4
Goals: To gain an understanding of how the language of mathematics is used in problem solving. This course is especially appropriate for prospective elementary teachers. Content: Precise formulation of problems, symbolization, strategies for solution of mathematical problems, introduction to various number systems and to mathematical logic. Taught: Fall and spring
Goals: To learn how to use the calculus of one variable and the fundamental concepts of the calculus. Content: Limits, continuity, derivatives and integrals of functions of one variable. Applications are taken mostly from the physical sciences.
Twelfth-grade high school mathematics with grade of B or higher Credits: 4
MATH 1180Calculus II4
Goals: To learn how to use the calculus of one variable and the fundamental concepts of the calculus. Content: Integrals of functions of one variable, sequences and series. Applications are taken mostly from the physical sciences.
Goals: To cover the fundamentals of statistical data analysis. Content: Elementary probability, descriptive statistics, parametric and nonparametric tests of hypotheses, analysis of variance, correlation and regression. Statistical computing will be in R.
Goals: To extend concepts of calculus in two variables to the calculus of several variables. Content: Vector calculus, partial and total differentiation, maximum/minimum problems, multiple integration, line and surface integrals, vector and scalar fields, theorems of Green, Gauss, and Stokes. Taught: Fall and Spring terms
Goals: To gain an appreciation for how abstract structures are used to solve theoretical and practical problems. Content: Systems of linear equations, matrices, determinants, vector spaces and bases, transformations, eigenvectors, introduction to linear differential equations. Taught: Fall term.
Any 1000- or 3000-level MATH course, grade of C- or higher Credits: 4
MATH 3410Mathematical Modeling4
Goals: An introduction to mathematical modeling of quantitative processes in the sciences, with applications from physics, chemistry, biology, economics, etc. Content: Mathematical models of various types: differential equations (both ordinary and partial), transform techniques, statistical techniques, discrete models, numerical simulations, etc. Some content will vary depending on the interests of the students. Taught: Fall term, alternate years
Goals: To introduce the concept of the discrete as well as techniques used in higher non-continuous mathematics, providing the necessary background material required by computer scientists for algorithm analysis. Content: Sets and numeration, combinatorics, logic, algorithms, recursion, generating functions, graphs, and trees. Taught: Spring term
MATH 1180 and MATH 1200 (grades of C- or higher), or any one 3000-level MATH course (grade of C- or higher) Credits: 4
MATH 3550Foundations of Mathematics4
Goals: To study mathematics as a logico-deductive system and to analyze those concepts and techniques that underlie all of mathematics. Content: Logic, proof construction, sets, relations, functions, mathematical induction, arguments involving infinite sets, number systems, axiomatics. Taught: Spring term
Goals: To introduce the concept of model building in mathematics from both a synthetic and an axiomatic point of view. Content: Various geometries are studied with attention paid to what geometry is. Hilbert’s axiom system for Euclidean geometry, hyperbolic geometry, and transformations. Taught: Alternate years, spring term
Goals: To learn to determine both the qualitative and quantitative properties of those functions which satisfy ordinary differential equations, using both analytic and numerical techniques. Content: Analytic methods of solution, numeric methods of solution, linear differential equations, series solutions, the Laplace transform, systems of differential equations, initial and boundary value problems, existence theory and applications. Taught: Spring term, alternate years
Goals: An introduction to the basic topics of mathematical probability theory and statistics. Content: Definition of probability, probability distributions (discrete and continuous), expectation, random variables and functions of random variables. Sampling distributions and applications. Taught: Fall term, alternate years
Goals: An introduction to algebraic structures: groups, rings, and fields. Content: An introduction to algebraic structures. Topics include normal subgroups, factor groups, and homomorphisms. Development of the elementary concepts of groups, rings, and fields. Taught: Fall term, alternate years
Goals: To learn the language, fundamental concepts, and standard theorems of analysis. Content: An introduction to real analysis with emphasis on proofs of theorems and on problem solving. Topics include properties of the real number system, functions, sequences, limits and continuity, differentiation, integration, and infinite series including sequences and series of functions. Taught: Fall term, alternate years
MATH 5920Seminar in Mathematics/Computational Data Science1
Goals: The student will be introduced to ideas and issues that are outside of the regular undergraduate curriculum, studying how mathematics/computational data science is used in academia and industry. Content: Reviews of current research and projects of various mathematicians/data scientists: junior and senior math/CDS majors, guest lecturers, and department staff. Student presentations of topics from internships, independent studies, or honors projects.
MATH 5930Mathematics/Computational Data Science Seminar Presentation1
Goals: The student will be introduced to ideas and issues that are outside of the regular undergraduate curriculum, studying how mathematics/computational data science is used in academia and industry. Content: Reviews of current research and projects of various mathematicians/data scientists: junior and senior math/CDS majors, guest lecturers, and department staff. Student presentations of topics from internships, independent studies, or honors projects.
Goals: To synthesize previous work in the various areas of mathematics with the goal of putting the areas in a historical perspective and of relating them to the question of what makes up mathematics. Content: The content of the seminar varies from year to year depending on the instructor. Attention is paid to the history of mathematics and to filling gaps in the spectrum of mathematics presented at the undergraduate level. Taught: Spring term
