# Courses

Please note that not every course listed is offered each year and that students should consult the following sources for current course offerings:

- Web Advisor – Online for students provides students the ability to search for specific classes.
- Registrar Services provides a printable list of all course offerings for each term.

**COURSE DESCRIPTIONS**

**MATH-1013. Introduction to Calculus I**

A review of analytic geometry and functions; derivatives of algebraic functions; mean value theorem; fundamental theorem of calculus; applications of differentiation, including extreme values and related rates; integration; differentials. Three hours of lecture and one tutorial per week. Prerequisite: grade 12 mathematics or equivalent.

**MATH-1023. Introduction to Calculus II**

Conic sections; transcendental functions and their derivatives; techniques of integration; areas and volumes; Taylor's theorem. Prerequisite: a grade of C or higher in MATH 1013.

**MATH-1033. Finite Mathematics for the Social Sciences**

Functions, matrices, linear programming, permutations and combinations, probability and statistics, interest and annuities. Prerequisite: Grade 12 mathematics or its equivalent. Three lecture hours and one tutorial hour per week.

**MATH-1103. Introduction to Mathematical Reasoning**

This course is a historical survey of most of the major branches of modern mathematics, including number theory, cryptology, logic, function theory, calculus, geometry, lattice theory, symmetry groups, tiling theory, topology, and knot theory. A recurring theme is the concept of proof and the axiomatic method in mathematics. Students learn how to choose appropriate mathematical models, how mathematicians prove their results, and how a single branch of mathematics can be applied to problems arising across a spectrum of different fields.

**MATH-2213. Linear Algebra**

Matrices and determinants; vectors in R2 and R3; real finite-dimensional vector spaces and linear transformations; eigenvalues and eigenvectors; complex vector spaces and inner product spaces; unitary and Hermitian matrices. Prerequisite: MATH 1023 or MATH 1033 or consent of the instructor.

**MATH-2513. Introduction to Logic (PHIL)**

A lecture course in which students learn how to identify and evaluate arguments drawn from a wide variety of sources. It will develop informal methods such as the identification of argument structure and informal fallacies. It will also develop formal methods that involve taking arguments in English, symbolizing them in a formal language, and evaluating strengths and weaknesses of the argument forms. Also covered are basic probability theory, inductive logic, and statistical reasoning.

**MATH-2613. Elementary Differential Equations**

This is a study of basic solution techniques and applications of differential equations with attention to concepts and computational efficiency. Topics include equations of the first order and first degree, Bernoulli's equations, orthogonal trajectories, linear differential equations, linear equations with constant coefficients, and nonhomogeneous equations. Prerequisite: a grade of C or higher in MATH 1023. Three hours per week.

**MATH-3613. Partial Differential Equations**

This is a study of basic solution techniques and applications of partial differential equations with attention to concepts and computational efficiency. Topics include first order equations, geometric theory, second order equations, classification, Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series and boundary and initial value problems. Prerequisite: A grade of C or higher in MATH 2613

**MATH-3813. Introduction to Logic II (PHIL)**

This is a course in first-order symbolic logic in its second main branch (predicate logic). The aim is to acquaint students with the formal language of modern deductive logic and to develop the basic techniques of good deductive reasoning. The course will be of interest to philosophy majors in particular (especially those who are planning to do graduate work in philosophy), but will benefit anyone who wants to acquire skills in abstract thinking. A good grounding in sentential logic is presupposed.

**MATH-3913. Statistics with Applications**

Descriptive statistics and representation of single-variable data, descriptive analysis and presentation of bivariate data, probability, probability distributions, sample variability, statistical inferences, linear correlation, and regression analysis. Prerequisite: MATH 1023.

**MATH-4013. Independent Study**

Special courses in topics not normally covered in regular course offerings in Math. Students work closely with a faculty member on a project involving independent research. Approval must be given by the by Director.