Courses - Summer 2023
MATH
Mathematics
MATH107
Introduction to Math Modeling and Probability
Credits: 3
GenEd:
Prerequisite: Must have math eligibility of MATH107 or higher; and math eligibility is based on Math Placement Exam or successful completion of MATH003 with appropriate eligibility.
Restriction: Not open to students majoring in mathematics, engineering, business, life sciences, and the physical sciences; must not have completed STAT100, MATH113, MATH120, MATH135, MATH136 or MATH140 with a C- or better; must not have completed any MATH or STAT course with a prerequisite of MATH120, MATH136, or MATH140.
Formerly: MATH110 and MATH111.
A goal is to convey the power of mathematics as shown by a variety of problems which can be modeled and solved by quantitative means. Also included is an introduction to probability. Topics include data analysis, equations, systems of equations, inequalities, elementary linear programming, Venn diagrams, counting, basic probability, permutations, combinations, tree diagrams, standard normal and normal distributions. The mathematics of finance is covered. The course includes problem solving and decision making in economics, management, and social sciences.
MATH113
College Algebra and Trigonometry
Credits: 3
GenEd:
Prerequisite: Must have math eligibility of MATH113 or higher; and math eligibility is based on the Math Placement Exam or the successful completion of MATH 003 with appropriate eligibility.
Restriction: Must not have completed MATH115, MATH120, MATH135, MATH136 or MATH140 with a grade of C- or higher; and must not have completed any course with a prerequisite of MATH120, MATH130, MATH136, or MATH140.
Credit only granted for: MATH113 or MATH115.
Topics include elementary functions including graphs and applications of: polynomial, rational, exponential, and logarithmic functions. Systems of equations and applications. Trigonometric functions: angle and radian measure, graphs and applications.
MATH115
Precalculus
Credits: 3
GenEd:
Prerequisite: Must have math eligibility of MATH115 or higher; and math eligibility is based on the Math Placement Exam or the successful completion of MATH003 with appropriate eligibility. Or MATH113.
Restriction: Must not have completed MATH140 with a grade of C- or better; and must not have completed any MATH or STAT course with a prerequisite of MATH140 or MATH141.
Credit only granted for: MATH113 or MATH115.
Preparation for MATH120, MATH130 or MATH140. Elementary functions and graphs: polynomials, rational functions, exponential and logarithmic functions, trigonometric functions. Algebraic techniques preparatory for calculus.
MATH120
Elementary Calculus I
Credits: 3
GenEd: ,
Prerequisite: 1 course with a minimum grade of C- from (MATH113, MATH115). Or must have math eligibility of MATH120 or higher; and math eligibility is based on the Math Placement Test.
Restriction: Not open to students majoring in mathematics, engineering, the biological sciences, biochemistry, chemistry, or the physical sciences; Must not have completed MATH130, MATH136 or MATH140 with a grade of C- or higher.
Formerly: MATH220.
Basic ideas of differential and integral calculus, with emphasis on elementary techniques of differentiation and applications.
MATH140
Calculus I
Credits: 4
CORE: MS
GenEd: ,
Prerequisite: Minimum grade of C- in MATH115.
Introduction to calculus, including functions, limits, continuity, derivatives and applications of the derivative, sketching of graphs of functions, definite and indefinite integrals, and calculation of area. The course is especially recommended for science, engineering and mathematics majors.
MATH141
Calculus II
Credits: 4
CORE: MS
Prerequisite: Minimum grade of C- in MATH140.
Continuation of MATH140, including techniques of integration, improper integrals, applications of integration (such as volumes, work, arc length, moments), inverse functions, exponential and logarithmic functions, sequences and series.
MATH206
Introduction to Matlab
Credits: 1
Prerequisite: 1 course with a minimum grade of C- from (MATH136, MATH140).
This course is intended to prepare students for subsequent courses requiring computation with MATLAB. Covers basics of MATLAB including simple commands, variables, solving equations, graphing differentiation and integration, matrices and vectors, functions, M-files and fundamentals of programming in the MATLAB environment. When offered in Winter and Summer terms, the course is offered in a format suitable for online distance learning.
MATH240
Introduction to Linear Algebra
Credits: 4
Prerequisite: 1 course with a minimum grade of C- from (MATH131, MATH141).
Credit only granted for: MATH240, MATH341, or MATH461.
Basic concepts of linear algebra: vector spaces, applications to line and plane geometry, linear equations and matrices, similar matrices, linear transformations, eigenvalues, determinants and quadratic forms.
All sections will use MATLAB.
MATH241
Calculus III
Credits: 4
Prerequisite: Minimum grade of C- in MATH141.
Credit only granted for: MATH241 or MATH340.
Introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss.
All sections will use MATLAB.
MATH246
Differential Equations for Scientists and Engineers
Credits: 3
Prerequisite: Minimum grade of C- in MATH141.
Credit only granted for: MATH246 or MATH341.
An introduction to the basic methods of solving ordinary differential equations. Equations of first and second order, linear differential equations, Laplace transforms, numerical methods and the qualitative theory of differential equations.
All sections will use MATLAB.
MATH310
Introduction to Mathematical Proof
Credits: 3
Prerequisite: Minimum grade of C- in MATH141; and must have completed or be concurrently enrolled in MATH240, MATH341, or MATH461; and must have completed or be concurrently enrolled in MATH241 or MATH340.
Restriction: Must be in a major within the CMNS-Mathematics department; or permission of the CMNS-Mathematics department.
Additional information: Math majors may not use this course to satisfy an upper-level requirement.
To develop the students' ability to construct a rigorous proof of a mathematical claim. Students will also be made aware of mathematical results that are of interest to those wishing to analyze a particular mathematical model. Topics will be drawn from logic, set theory, structure of the number line, elementary topology, metric spaces, functions, sequences and continuity.
MATH401
Applications of Linear Algebra
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH461, MATH240, MATH341).
Various applications of linear algebra: theory of finite games, linear programming, matrix methods as applied to finite Markov chains, random walk, incidence matrices, graphs and directed graphs, networks and transportation problems.
MATH406
Introduction to Number Theory
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH241, MATH246, MATH340, MATH341, MATH461); or permission of CMNS-Mathematics department.
Integers, divisibility, prime numbers, unique factorization, congruences, quadratic reciprocity, Diophantine equations and arithmetic functions.
MATH410
(Perm Req)
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241); and minimum grade of C- in MATH310.
Subjects covered: sequences and series of numbers, continuity and differentiability of real-valued functions of one variable, the Riemann integral, sequences of functions and power series.
MATH461
Linear Algebra for Scientists and Engineers
Credits: 3
Prerequisite: Minimum grade of C- in MATH141; and must have completed a MATH or STAT course with a prerequisite of MATH141.
Credit only granted for: MATH240, MATH341, or MATH461.
Additional information: This course may not be used towards the upper level math requirements for MATH/STAT majors.
Basic concepts of linear algebra. This course is similar to MATH240, but with more extensive coverage of the topics needed in applied linear algebra: change of basis, complex eigenvalues, diagonalization, the Jordan canonical form.
All sections will use MATLAB.
MATH462
Partial Differential Equations
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH246, MATH341).
Linear spaces and operators, orthogonality, Sturm-Liouville problems and eigenfunction expansions for ordinary differential equations. Introduction to partial differential equations, including the heat equation, wave equation and Laplace's equation. Boundary value problems, initial value problems and initial-boundary value problems.
MATH463
Complex Variables
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH241, MATH340).
The algebra of complex numbers, analytic functions, mapping properties of the elementary functions. Cauchy integral formula. Theory of residues and application to evaluation of integrals. Conformal mapping.
MATH475
(Perm Req)
Combinatorics and Graph Theory
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461); and 1 course with a minimum grade of C- from (MATH241, MATH340); and permission of CMNS-Mathematics department.
Cross-listed with CMSC475.
Credit only granted for: MATH475 or CMSC475.
General enumeration methods, difference equations, generating functions. Elements of graph theory, matrix representations of graphs, applications of graph theory to transport networks, matching theory and graphical algorithms.
MATH689
(Perm Req)
Research Interactions in Mathematics
Credits: 1 - 3
Contact department for information to register for this course.
MATH799
(Perm Req)
Master's Thesis Research
Credits: 1 - 6