36 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 121Single Variable Calculus1
The calculus of one variable and its applications are discussed. Topics include: limits, continuity, derivatives, applications of derivatives, transcendental functions, the definite integral, applications of definite integrals. The Department.
A minimum of three years of high school mathematics, preferably including trigonometry. Mathematics 121 is not open to students with AP credit in mathematics. Course Format: CLS
Offered
Fall
MATH 125Topics in Single Variable Calculus1
Material from a full year of calculus presented in one semester for students with previous experience with calculus. Topics in second semester calculus are fully developed and topics in first semester calculus are reviewed. The Department. Not open to students who have received credit for MATH 126 or MATH 127 . Three 50-minute periods. Course Format: CLS
In this course, we expand and build upon basic knowledge of differential and integral calculus. Various techniques and applications of integration are studied. The calculus of transcendental functions—such as the exponential, logarithmic, and inverse trigonometric functions—are also developed. A main theme in this course are the many ways functions can be defined, and arise naturally in problems in the mathematical sciences. The Department. Intended for students who do not plan on going on to MATH 127 . Students should enroll in MATH 125 instead of enrolling in MATH 126/ 127 . Not open to students who have received credit for MATH 125 . Two 75-minute periods. Course Format: CLS
Real numbers may be represented as infinite decimals. In this course we generalize this representation by studying the convergence of sequences and of series of real numbers. These notions further generalize to the convergence of sequences and series of functions. We study these ideas and their relation to the Calculus. The Department.
MATH 121 , MATH 126 or their equivalent. Intended for students who do not plan on enrolling in MATH 126 as well. Students should enroll in MATH 125 instead of enrolling in MATH 126 /127. Not open to students who have received credit for MATH 125. Two 75-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 141Introduction to Statistical Reasoning1
The purpose of this course is to develop an appreciation and understanding of the exploration and interpretation of data. Topics include exploratory data analysis, basic probability, design of studies, and inferential methods including confidence interval estimation and hypothesis testing. Applications and examples are drawn from a wide variety of disciplines. When cross-listed with biology, examples are drawn primarily from biology. Statistical software is introduced and used. Computationally less intensive than MATH 240 .
Three years of high school mathematics. Not open to students with AP credit in statistics or students who have completed ECON 209 or PSYC 200 : those students should instead consider MATH 242 . Not recommended for students who have taken a semester of calculus: those students should instead consider MATH 240 . Course Format: CLS
Offered
Fall or Spring
MATH 144Foundations of Data Science1
This course focuses on the development and practice of computational and inferential thinking. Students are introduced to the fundamentals of programming and inference. Students learn to write programs, create data visualizations, and work with real-world datasets, culminating in a final data analysis project. Course Format: CLS
Mathematical modeling, including discrete dynamical systems, linear models, optimization, model fitting, and elementary stochastic processes, are examined through a series of case studies. Applications to biology, chemistry, physics, engineering, and economics are explored. Programming in MATLAB is used. No prior programming experience is needed. The Department.
MATH 126 and MATH 127 , or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Spring
MATH 217Introduction to Numerical Methods1
Numerical techniques for a variety of problems, such as finding roots of polynomials, interpolation, numerical differentiation, and integration. Topics include the underlying theory behind the algorithms, including error analysis, and implementation using MATLAB to facilitate numerical experimentation. No prior programming experience is needed. The Department.
MATH 126 and MATH 127 , or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall
MATH 220Multivariable Calculus1
This course extends differential and integral calculus to functions of several variables. Topics include: partial derivatives, gradients, extreme value problems, Lagrange multipliers, multiple integrals, line and surface integrals, the theorems of Green and Gauss. The Department.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 221Linear Algebra1
The theory of higher dimensional space. Topics include: geometric properties of n-space, matrices and linear equations, vector spaces, linear mappings, determinants. The Department.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 228Ordinary Differential Equations and Applications1
First- and second-order ordinary differential equations, basic theorems concerning existence and uniqueness of solutions and continuous dependence on parameters, long-term behavior of solutions and approximate solutions. The focus is on connecting the theoretical aspects of differential equations with real-world applications from physics, biology, chemistry, and engineering. The Department.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 240Introduction to Statistics1
The purpose of this course is to introduce the methods by which we extract information from data. Topics are similar to those in MATH 141 , with more coverage of probability and more intense computational and computer work. Statistical software is introduced and used. Ming-Wen An, Jingchen Hu.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department. Not open to students with AP credit in statistics or students who have completed MATH 141 : those students should instead consider MATH 242 . Students who have completed ECON 209 or PSYC 200 should consult the instructor about appropriate placement. Three 50-minute periods. Course Format: CLS
Offered
Fall or Spring
MATH 241Probability1
This course in introductory probability theory covers topics including combinatorics, discrete and continuous random variables, distribution functions, joint distributions, independence, properties of expectations, and basic limit theorems. The Department.
MATH 125 MATH 127 , or their equivalent (advanced placement), or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 242Applied Statistical Modeling1
Applied Statistical Modeling is offered as a second course in statistics in which we present a set of case studies and introduce appropriate statistical modeling techniques for each. Topics may include: multiple linear regression, logistic regression, log-linear regression, survival analysis, an introduction to Bayesian modeling, and modeling via simulation. Other topics may be substituted for these or added as time allows. Students are expected to conduct data analyses in R. The Department.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department; and AP credit in statistics, MATH 141 or MATH 240 . Three 50-minute periods. Course Format: CLS
Offered
Fall or Spring
MATH 244Intermediate Data Science1
This course develops additional core skills and methods in data science, with a key focus on machine learning. We introduce the underlying mathematical and statistical theory, and apply the methods to an array of applications from different fields. Topics covered may include regression, clustering, classification, supervised and unsupervised machine learning, and non-standard data objects such as text data and network data. Students are expected to have statistical programming experience prior to this course. Not open to students who have taken MATH 280 Intermediate Data Science or CMPU 250 Data and its Discontents . The Department.
MATH 240 and CMPU 100 , or permission of the instructor. Three 50-minute periods. Course Format: CLS
Offered
Fall or Spring
MATH 261Introduction to Number Theory1
Topics include: divisibility, congruence, modular arithmetic, diophantine equations, number-theoretic functions, distribution of the prime numbers. The Department.
MATH 125 or MATH 127 , or their equivalent (advanced placement), or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall and Spring
MATH 263Discrete Mathematics1
Mathematical induction, elements of set theory and logic, permutations and combinations, relations, topics in graph theory, generating functions, recurrence relations, Boolean algebras. The Department.
MATH 301Topics In Advanced Mathematics and Statistics1
The focus of the intensive is proposed by the faculty leader and based on student’s previous studies. Students take an active role in presentation and research throughout the semester in collaboration with the faculty leader. Topics may come from mathematics, statistics, and applications of mathematics. The Department.
MATH 220 , 221 and permission of the instructor. Open only to declared majors in mathematics. Course Format: INT
Offered
Fall and Spring
MATH 315Topics in Mathematical Modeling1
Advanced methods in the theory and practice of mathematical modeling from fields such as biology, ecology, epidemiology, engineering, physics, economics, sociology, robotics, and resource management. The specific topic of inquiry varies from year to year. Students may repeat the course for credit if the topic changes with permission of the department. The Department.
MATH 215 , MATH 220 , MATH 221 , MATH 228 ,or permission of the department Three 50-minute periods. Course Format: CLS
Offered
Fall
MATH 317Advanced Numerical Methods1
Advanced numerical methods that arise from the study of differential equations and linear algebra. Topics include multi-step and Runge-Kutta methods for ODEs, finite difference and finite element methods for PDEs, and iterative methods for linear algebraic systems and eigenvalue computation. The Department.
MATH 217 , MATH 220 , MATH 221 , MATH 228 or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall
MATH 321Real Analysis1
A rigorous treatment of topics in the classical theory of functions of a real variable from the point of view of metric space topology including limits, continuity, sequences and series of functions, and the Riemann-Stieltjes integral. The Department.
For all advanced courses: MATH 220 and MATH 221 , unless otherwise indicated. Course Format: CLS
Offered
Fall and Spring
MATH 324Complex Analysis1
Integration and differentiation in the complex plane. Topics include: holomorphic (differentiable) functions, power series as holomorphic functions, Taylor and Laurent series, singularities and residues, complex integration and, in particular, Cauchy’s Theorem and its consequences. The Department.
For all advanced courses: MATH 220 and MATH 221 , unless otherwise indicated. Course Format: CLS
Offered
Spring
MATH 328Nonlinear Differential Equations & Application1
Nonlinear differential equations that arise from a wide variety of applied fields are investigated using informal, but careful, mathematical approaches. Methods developed include analytical approaches as well as a geometric understanding of the underlying dynamics. The Department.
MATH 220 , MATH 221 , MATH 228 or permission of the department. Three 50-minute periods. Course Format: CLS
Offered
Fall
MATH 331Topics in Geometry1
Topics vary from year to year and may include differential geometry, fractal geometry, Euclidean geometry, hyperbolic geometry, projective geometry, and algebraic geometry.
MATH 220 and MATH 221 , unless otherwise indicated. Course Format: CLS
Offered
Fall
MATH 339Topology1
Introductory point-set and algebraic topology; topological spaces, metric spaces, continuous mappings, connectedness, compactness and separation properties; the fundamental group; simplicial homology. The Department.
(Same as CMPU 340 ) This course gives a theoretical treatment of fundamental problems in algorithmic graph theory and discrete / combinatorial optimization that lie at the interface of computer science, discrete mathematics, and operations research. We begin with sophisticated and efficient exact algorithms for flow, matching, and cut problems. Next, we tackle NP-hard problems arising in scheduling, clustering, and network design, and explore effective solution approaches through the study of approximation algorithms. Finally, we introduce modern approaches and models, such as decision-making under uncertainty (online algorithms), parameterized analysis, randomized algorithms, and the exploding area of beyond-worst-case analysis. Throughout, we emphasize the power of techniques from continuous optimization, mainly linear programs (LPs), in solving discrete problems, e.g., by introducing frameworks such as LP rounding and the primal-dual method. Heather Newman.
At least one of CMPU 241 , MATH 263 , AND at least one of CMPU 240 , MATH 241 , MATH 261 or permission of the department. Strongly recommend: MATH 221 . Helpful but not required: MATH 241 . Two 75-minute periods. Course Format: CLS
Offered
Fall
MATH 341Statistical Inference1
An introduction to the theory behind statistical inference methods. Topics include point and interval estimation, sampling distributions, sufficient statistics, hypothesis testing, exposure to Bayesian inference, and simulation.
AP credit in statistics, MATH 141 or MATH 240 ; MATH 220 , MATH 221 , and MATH 241 . Course Format: CLS
Offered
Fall or Spring
MATH 342Statistical Machine Learning1
Machine learning methods address problems of making predictions from data. This course expands on prior study of data visualization and estimation and introduces methods of supervised and unsupervised learning, model training, and validation. Students are expected to engage in statistical programming in R to apply these methods to data. The Department.
AP credit in statistics, MATH 141 or MATH 240 ; plus MATH 220 , MATH 221 , and MATH 241 . Two 75-minute periods. Course Format: CLS
Offered
Fall or Spring
MATH 347Bayesian Statistics1
An introduction to Bayesian statistics. Topics include Bayes Theorem, common prior and posterior distributions, hierarchical models, Bayesian linear regression, latent variable models, and Markov chain Monte Carlo methods. The course uses R extensively for simulations.
AP credit in statistics, MATH 141 or MATH 240 ; MATH 220 , MATH 221 , and MATH 241 . Course Format: CLS
Offered
Fall or Spring
MATH 348Statistical Principles for Research Study Design1
Research studies are used in many fields, from economics and political science to physics, biology, and medical research. All of them share a need for statistically valid methods for study design and the analysis of results. This course covers the statistical principles and challenges behind randomized and non-randomized studies in these and other fields, highlighting the role statisticians play in the research process. Mathematical theory, examples, and simulations in R are considered in evaluating study designs.
AP credit in statistics, MATH 141 or MATH 240 ; MATH 220 , MATH 221 , and MATH 241 . Course Format: CLS
Offered
Fall or Spring
MATH 361Modern Algebra1
The theory of groups and an introduction to ring theory. Topics in group theory include: isomorphism theorems, generators and relations, group actions, Sylow theorems, fundamental theorem of finite abelian groups. The Department.
for all advanced courses: MATH 220 and MATH 221 , unless otherwise indicated. Course Format: CLS
Offered
Fall and Spring
MATH 364Advanced Linear Algebra1
Further study in the theory of vector spaces and linear maps. Topics may include: scalar products and dual space; symmetric, hermitian and unitary operators; eigenvectors and eigenvalues; spectral theorems; canonical forms. The Department.
