MACM 101

Discrete Mathematics I
(3 credits)

 

This course is an introduction to discrete mathematics. Students will examine some areas of mathematics that are frequently applicable to problems in computer science. Topics include logic and formal reasoning, sets, relations and functions, basic concepts of number theory, mathematical induction, enumeration, formal languages and automata, and graphs and trees.

 

Prerequisites: MATH 100 or MA 12

 

MACM 201

Discrete Mathematics II
(3 credits)

 

This course is a continuation of MACM 101. Topics include asymptotics, complexity of algorithms, graphs and trees, relations, recurrence relations, generating functions, and Boolean algebra.

 

Prerequisites: MACM 101 with a minimum grade of C+.

 

Math 100

Pre-Calculus
(3 credits)

 

The emphasis in this course is placed upon relations, functions and transformations, linear and quadratic functions and inequalities, exponential and logarithmic functions, trigonometry, polynomials and rational functions and conic sections.

 

Prerequisites: MA I2

 

Math 101

Calculus I
(3 credits)

 

This is a first course in calculus intended primarily for science, mathematics or computer science majors. Topics include functions and graphs, conic sections, limits and continuity, derivatives, techniques and applications of differentiation, trigonometric functions, logarithms and exponentials, extrema, the mean value theorem and polar coordinates.

 

Prerequisites: MA 12 with grade of B or MATH 100

 

Math 102

Calculus II
(3 credits)

 

This course is the second half of first year calculus intended primarily for science, mathematics or computer science students. Topics include integrals, techniques and applications of integrations, approximations, sequences and series, and area and arc length in polar coordinates.

 

Prerequisites: MATH 101

 

Math 110

Pre-Calculus for Business
(3 credits)

 

This course provides students with a review of mathematics fundamental to the study of calculus with the aim of developing the mathematical skills and techniques of most use in the study of business and economics. Topics include linear and quadratic functions, sequences and sums, compound interest, exponentials and logarithms, and introductory probability and trigonometry.

 

Prerequisites: MA 11 with minimum grade of B or Math 12

 

Math 111

Business Calculus I
(3 credits)

 

This is a first course in calculus intended primarily for students in business and the social sciences. Topics include limits, growth rates, differentiation and integration, logarithmic and exponential functions and their application to economics and optimization.

 

Prerequisites: MA 12 with grade of B or Math 100 or Math 110

 

Math 112

Business Calculus II
(3 credits)

 

This course is a continuation of Math 111. Topics include the Fundamental Theorem of Calculus, applications of integration, an introduction to differential equations and multi-variable calculus.

 

Prerequisites: MATH 111

 

Math 190

Principles of Mathematics

(4 credits)

 

This course develops the fundamental mathematical concepts and practices included in the elementary and middle school curriculum.  Discussed are concepts from elementary number theory and geometry, as well as probability and statistics.  Introduced are practices such as problem solving, identifying patterns, and mathematically interpreting everyday contexts.  In addition, the course aims to develop a positive attitude towards mathematics and an ability to convey mathematical ideas to others.

 

Prerequisites:  Principle of Mathematics 11 (or equivalent) with a grade of "C" or higher

 

Math 201

Multivariable Calculus
(3 credits)

 

This is a first course in multi-dimensional calculus. Topics include vectors, solid analytic geometry, differential calculus of several variables, multiple integrals, cylindrical and spherical coordinates and line integrals.

 

Prerequisites: MATH 102 required with MATH 232 recommended.

 

Math 202

Vector Calculus
(3 credits)

 

This course is a continuation of MATH 201. Topics include vector functions of a single variable, space curves, scalar and vector fields, conservative fields, surface and volume integrals, and theorems of Gauss, Green and Stokes.

 

Prerequisites: MATH 201

 

Math 215

Ordinary Differential Equations
(3 credits)

 

In this course topics include first order differential equations, second and higher order linear equations, series solutions, an introduction to Laplace transformation, systems and numerical methods, phase plane analysis, and applications in the physical, biological and social sciences.

 

Prerequisites: MATH 102 required with MATH 232 recommended.

 

Math 220

Introduction to Analysis
(3 credits)

 

This course introduces students to mathematical induction. Topics include mathematical induction, limits of real sequences and real functions, continuity and its consequences, and the Mean Value Theorem, the fundamental theorem of calculus.

 

Prerequisites: MATH 102

 

Math 232

Linear Algebra
(3 credits)

 

This is a first course in linear algebra. Topics include matrix arithmetic and linear equations and determinants; real vector spaces and linear transformations; inner products and orthogonality; Eigenvalues and Eigenvectors.

 

Prerequisites: MATH 101 or MATH 111