Courses

Adv Integrated Mathematics (enriched)

These courses cover the material of MAT310/320/330/400 in greater depth and at an accelerated pace.
Advanced Integrated Mathematics

The purpose of the 300-level courses is to enable students to expand their view of algebra and geometry to include nonlinear motion and nonlinear functions. The investigation encompasses circular motion and the functions that describe it, ellipses and hyperbolas, exponential and logarithmic functions, dot products and matrices, and geometry on the surface of the Earth. […]
Algebra

These courses develop facility in working with numbers, tables, equations, inequalities and graphs. The focus is on solving word problems and reading carefully, and thus the building of algebra skills stems from the need to solve problems in a context, rather than from drill and practice for its own sake. Students learn how to use […]
Calculus

This four-term sequence presents a comprehensive and inductive approach to calculus. Working within contexts whenever possible, key concepts are developed with applications in mind. Students learn to read the language of differential equations, and to appreciate that the two principal divisions of calculus – differential (rate problems) and integral (accumulation problems) – are unified by […]
Calculus – A Lab Approach

This three-term sequence of courses covers topics from differential and integral calculus. The problem-centered curriculum is built around weekly labs that emphasize graphical and numerical investigations. The focus of these investigations is to develop understanding of essential calculus concepts and their symbolic representations. Throughout the problem sets and labs, students are also expected to explore […]
Calculus (enriched)

This four-term sequence covers all the material of the 420/430/510/520 courses, with additional applications and explorations, and in greater depth. Working within contexts whenever possible, key concepts are developed with applications in mind. Students learn to read the language of differential equations, and to appreciate that the two principal divisions of calculus – differential (rate […]
Foundations of Abstract Mathematics

This course constitutes a bridge between calculus and theoretical, proof-based courses such as real analysis, abstract algebra and set theory. The emphasis is on understanding and mastering increased levels of rigor, dealing with mathematical notation, and learning how to write, present and analyze proofs. Course content includes axiomatic systems, the principle of mathematical induction, proof […]
History of Mathematics

This is a one-trimester course focusing on the historical development of mathematical ideas, the role of individual character and culture in the advancement of mathematics, and the historical context of major discoveries and changes of viewpoint. Major themes of the course include: the development of mathematics in non-Western cultures, the development of geometry and number […]
Integrated Mathematics

The 200-level courses are geometry courses tied to algebraic processes. Students investigate lines, polygons, and vectors, in both two and three dimensions. Right-triangle trigonometry is introduced, as are circles and parabolas, the latter viewed from a focus-directrix definition. Linear motion is explored, leading to the use of parameters to describe that motion and to an […]
Introduction to Calculus

Amid a rich interplay of precalculus concepts, the study of calculus officially begins. Topics include complex numbers, polar coordinates, probability, recursion, functional notation, slope, velocity, asymptotes, the fundamental constant e, the Euler identity and applications of the preceding.
Introduction to Calculus (enriched)

This course covers the material of MAT410 in greater depth and also does some additional problems
Introduction to Statistics

This one-term course provides an overview of the questions addressed by statisticians. Students will discuss where data comes from, such as polls, surveys and experiments; they will study how to organize data and infer relationships between variables. Students will study enough probability to be able to discuss the role of chance and randomness in outcomes. […]
Introduction to Symbolic Logic

The study of logic is at the crossroads of mathematics and philosophy, in which we identify principles underlying the ability to reason. Furthermore, logic aids us in determining the ideal ways in which reasoning should occur. Symbolic logic is the branch of logic that helps us reason through the use of a formal language consisting […]
Linear Algebra

MAT640 is an introduction to the theory of linear algebra, the study of systems of linear equations and their solutions. The interplay between algebra and geometry affords powerful and quite different insights into the subject. Topics include: Gaussian elimination, matrices and geometric transformations, eigenvectors and eigenvalues, diagonalization, and discrete dynamical systems. Although there are some […]
Mathematics of Social Justice

This one-term course covers mathematical methods needed to analyze impacts of public policy with a particular emphasis on identifying undesirable outcomes such as discrimination, systematic bias, and inequity. Students will learn how to analyze empirical data using mathematical methods and uncover ways that public policy and other factors contribute to systematic oppression and other negative […]
Multivariable Calculus

This two-term sequence re-examines the differentiation and integration processes, and investigates topics such as partial derivatives, level curves and gradients, moving frame description for space curves, the analysis of critical points, double and triple integrals, line integrals, vector analysis, the classical quadric surfaces, Lagrange multipliers, cylindrical and spherical coordinates, and Jacobian matrices.
Selected Topics in Math

The topics in MAT690 will be studied with an emphasis on intuition and computational facility. At the same time, one should note that commitment to pursue difficult mathematical ideas is a necessary quality for doing well. While some theorems and their proofs will be examined, the level of abstraction will be appropriate to an introductory […]
Statistics

This sequence of courses is offered fall (MAT41S), winter (MAT42S) and spring (MAT43S). MAT41S covers the basic principles of descriptive statistics. One-variable topics include graphical representations of data, measures of central tendency and measures of variability. Two-variable data analysis is based on linear regression. Other topics include probability distributions, sampling techniques, binomial distributions and experimental […]
Topics in Discrete Math

The topics for this course depend on the interests of the instructor, and are usually drawn from everyday experience. They have included fair-division problems, such as apportioning the House of Representatives; network problems, such as map-coloring, scheduling, minimal-cost spanning trees, and the traveling salesman; various methods for extracting group preferences from election data; and quantifying […]
Transition 1 Mathematics

This transition option is for students with algebra experience, but little or no background in geometry. Students are placed in one of the following three courses in the fall term. MAT11T is for students who need a full year of algebra. It promotes to MAT120 in the winter and then to MAT130 in the spring. […]