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Lower-Level Courses for Freshmen and SophomoresCourses with overlapping content. Students will receive credit for only one of the courses in each of the following groups. Courses with overlapping content are not necessarily equivalent courses. Students are encouraged to consult a mathematics faculty member when choosing between them.
Consult First Steps in Math for assistance in selecting an appropriate course. MATH 1000 (100) Calculus Preparation
Introduces a wide variety of topics of algebra and trigonometry that have applications in various disciplines. Emphasis is on the development of linear, polynomial, rational, trigonometric, exponential, and logarithmic functions. Students will have a better understanding of the behavior of these functions in their application to calculus because of the strong emphasis on graphing. Application of these mathematical ideas is addressed in problem-solving activities. Cannot be used toward graduation. MATH 1005 (005) Academic Support for MATH 1105
Reviews material presented in MATH 1105 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for MATH 1105 lectures or recitations. MATH 1006 (006) Academic Support for MATH 1106
Reviews material presented in MATH 1106 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for MATH 1106 lectures or recitations. MATH 1009 (109) Precalculus Mathematics
Cannot be used toward graduation. Designed to prepare students for MATH 1110. Reviews algebra, trigonometry, logarithms, and exponentials. MATH 1011 (011) Academic Support for MATH 1110
Reviews material presented in MATH 1110 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for MATH 1110 lectures or recitations. MATH 1012 (012) Academic Support for MATH 1120
Reviews material presented in MATH 1120 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for MATH 1120 lectures or recitations. MATH 1105 (105) Finite Mathematics for the Life and Social Sciences
Introduction to linear algebra, probability, and Markov chains that develops the parts of the theory most relevant for applications. Specific topics include: equations of lines, the method of least squares, solutions of linear systems, matrices; basic concepts of probability, permutations, combinations, binomial distribution, mean and variance, and the normal approximation to the binomial distribution. Examples from biology and the social sciences are used. MATH 1106 (106) Calculus for the Life and Social Sciences
Introduction to differential and integral calculus, partial derivatives, elementary differential equations. Examples from biology and the social sciences are used. MATH 1110 (111) Calculus I
Topics include functions and graphs, limits and continuity, differentiation and integration of algebraic, trigonometric, inverse trig, logarithmic, and exponential functions; applications of differentiation, including graphing, max-min problems, tangent line approximation, implicit differentiation, and applications to the sciences; the mean value theorem; and antiderivatives, definite and indefinite integrals, the fundamental theorem of calculus, substitution in integration, the area under a curve. MATH 1110 can serve as a one-semester introduction to calculus or as part of a two-semester sequence in which it is followed by MATH 1120 or 1220. MATH 1120 (112) Calculus II
Focuses on integration: applications, including volumes and arc length; techniques of integration, approximate integration with error estimates, improper integrals, differential equations (separation of variables, initial conditions, systems, some applications). Also covers infinite sequences and series: definition and tests for convergence, power series, Taylor series with remainder, and parametric equations. MATH 1220 (122) Honors Calculus II
Takes a more theoretical approach to calculus than MATH 1120. Topics include differentiation and integration of elementary transcendental functions, techniques of integration, applications, polar coordinates, infinite series, and complex numbers, as well as an introduction to proving theorems. MATH 1300 (103) Mathematical Explorations
For students who wish to experience how mathematical ideas naturally evolve. The course emphasizes ideas and imagination as opposed to techniques and calculations. The homework involves students in actively investigating mathematical ideas. Topics vary depending on the instructor. Some assessment is done through writing assignments. MATH 1340 (134) Mathematics and Politics
We apply mathematical reasoning to some problems arising in the social sciences. We discuss game theory and its applications to political and historical conflicts. Power indices are introduced and used to analyze some political institutions. The problem of finding a fair election procedure to choose among three or more alternatives is analyzed. MATH 1350 (135) The Art of Secret Writing
Examines classical and modern methods of message encryption, decryption, and cryptoanalysis. Mathematical tools are developed to describe these methods (modular arithmetic, probability, matrix arithmetic, number theory), and some of the fascinating history of the methods and people involved is presented. MATH 1600 (160) Totally Awesome Mathematics
Mathematics is a broad and varied field that extends far beyond calculus and the high school curriculum. This course will introduce exciting mathematical topics to stretch your imagination and give you a feel for the great variety of problems that mathematicians study. Each week a different lecturer will present a new topic and fun problems for discussion. Topics will vary from year to year, but may include the following: encryption and number theory, non-Euclidean geometry, knots and surfaces, combinatorics of polyhedra, the Heisenberg Uncertainty Principle and signal processing, unsolvable problems and noncomputable functions, card shuffling and probability, symmetry and solutions of polynomial equations. MATH 1710 (171) Statistical Theory and Application in the Real World
Introductory statistics course discussing techniques for analyzing data occurring in the real world and the mathematical and philosophical justification for these techniques. Topics include population and sample distributions, central limit theorem, statistical theories of point estimation, confidence intervals, testing hypotheses, the linear model, and the least squares estimator. The course concludes with a discussion of tests and estimates for regression and analysis of variance (if time permits). The computer is used to demonstrate some aspects of the theory, such as sampling distributions and the Central Limit Theorem. In the lab portion of the course, students learn and use computer-based methods for implementing the statistical methodology presented in the lectures. MATH 1910 (191) Calculus For Engineers
Essentially a second course in calculus. Topics include techniques of integration, finding areas and volumes by integration, exponential growth, partial fractions, infinite sequences and series, and power series. MATH 1920 (192) Multivariable Calculus for Engineers
Introduction to multivariable calculus. Topics include partial derivatives, double and triple integrals, line integrals, vector fields, Green's theorem, Stokes' theorem, and the divergence theorem. MATH 2130 (213) Calculus III
Designed for students who wish to master the basic techniques of multivariable calculus, but whose major will not require a substantial amount of mathematics. Topics include vectors and vector-valued functions; multivariable and vector calculus including multiple and line integrals; first- and second-order differential equations with applications; systems of differential equations; and elementary partial differential equations. The course may emphasize different topics in the syllabus in different semesters, such as Green's theorem, Stokes' theorem, and the divergence theorem. MATH 2210 (221) Linear Algebra
Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential equations. MATH 2220 (222) Multivariable Calculus
Differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes and Gauss. MATH 2230 (223) Theoretical Linear Algebra and Calculus
MATH 2230-2240 provides an integrated treatment of linear algebra and multivariable calculus designed for students who have been highly successful in their previous calculus courses. The material is presented at a higher level than in 2210-2220. Topics in 2230 include vectors, matrices, and linear transformations; differential calculus of functions of several variables; inverse and implicit function theorems; quadratic forms, extrema, and manifolds; multiple and iterated integrals. MATH 2240 (224) Theoretical Linear Algebra and Calculus
Topics include: vector fields; line integrals; differential forms and exterior derivative; work, flux, and density forms; integration of forms over parametrized domains; and Green's, Stokes', and divergence theorems. MATH 2310 (231) Linear Algebra with Applications
Introduction to linear algebra for students who wish to focus on the practical applications of the subject. A wide range of applications are discussed and computer software may be used. The main topics are systems of linear equations, matrices, determinants, vector spaces, orthogonality, and eigenvalues. Typical applications are population models, input/output models, least squares, and difference equations. MATH 2710 A Second Course in Statistics
Designed for students who wish to build on their knowledge of basic statistics, to obtain a more modern and advanced perspective on the field. The treatment will be elementary and accessible to students of the sciences and other fields, but a good working knowledge of calculus is assumed. An extended review of probability and random variables will be given first. Statistical inference topics to be discussed include estimation, testing hypotheses, nonparametric methods, multiple regression, and the analysis of variance. Both classical and Bayesian statistical methods are developed in an integrated presentation. Computer exercises will supplement the theory. With some effort, students with no prior knowledge of statistics should be able to master the course. MATH 2810 (281) Deductive Logic (also PHIL 3310)
A mathematical study of the formal languages of propositional and predicate logic, including their syntax, semantics, and deductive systems. Various formal results will be established, most importantly soundness and completeness. MATH 2930 (293) Differential Equations for Engineers
Introduction to ordinary and partial differential equations. Topics include first order equations (separable, linear, homogeneous, exact); mathematical modeling (e.g., population growth, terminal velocity); qualitative methods (slope fields, phase plots, equilibria and stability); numerical methods; second order equations (method of undetermined coefficients, application to oscillations and resonance, boundary value problems and eigenvalues); Fourier series; linear partial differential equations (heat flow, waves, Laplace equation); linear systems of ordinary differential equations. MATH 2940 (294) Linear Algebra for Engineers
Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces; applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations. May include computer use in solving problems. See also: Upper-Level Courses for Sophomores, Juniors, and Seniors Last modified:November 9, 2009 |
