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Course Criteria
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3.00 Credits
A careful and thorough presentation of the fundamental mathematical concepts required to enter advanced mathematical coursework: sets, logic, methods of mathematical proof, relations, functions, and cardinality. (Fall, Spring) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 and MATH 2270 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1220 A MATH 2270
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3.00 Credits
Informal and formal study of geometry, investigation of the elements of an axiomatic system, introduction to appropriate geometry software. This course is required for prospective secondary mathematics teachers. (Spring) [Graded (Standard Letter)] Prerequisite(s): MATH 3120 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 3120
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3.00 Credits
Introduction to data analytic and applied statistical methods commonly used in industrial and scientific applications as well as in data science. Emphasis will be on the practical aspects of statistics with students analyzing real data sets. Topics covered include analytic and graphical representation of data, exploratory data analysis, regression analysis, principal component analysis, and classification methods. Students will use R throughout the course. (Fall) [Graded (Standard Letter)] Prerequisite(s): (MATH 1040 or MATH 3700) and (ECON 2500 or MATH 1100 or MATH 1210) - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
( MATH 1040 O MATH 3700 ) ( A ECON 2500 O MATH 1100 O MATH 1210 )
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3.00 Credits
An introduction to elementary number theory. Topics include divisibility, primes, congruences, arithmetic functions, primitive roots, quadratic residues, and cryptography. (Fall - Odd Years) [Graded (Standard Letter)] Prerequisite(s): MATH 3120 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 3120
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3.00 Credits
This class will be an introduction to the mathematics and algorithms underlying the analytic techniques of data science. Topics covered will include regression and cross validation, gradient descent, dimension reduction, clustering and classification. Database management will also be discussed. Students will use a programming language and GitHub throughout this course. (Spring - Even Years) [Graded (Standard Letter)] Prerequisite(s): (MATH 2140 or MATH 3700) and (MATH 2170 or MATH 2270) and ANLY 4100 and a working knowledge of a programming language - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
( MATH 2140 O MATH 3700 ) ( A MATH 2170 O MATH 2270 ) A ANLY 4100
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3.00 Credits
Introduction to the study of complex variables for mathematics, engineering, physics, and science students. Topics include complex numbers and functions, complex differentiation and integration, analytic functions, infinite series, residues, and contour integrals. (Spring - Odd Years) [Graded (Standard Letter)] Prerequisite(s): MATH 2210 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 2210
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3.00 Credits
Mathematical analysis of interest, general annuities, and other securities. Theoretical basis of actuarial models and the application of those models to insurance and other financial risks. This course covers topics from the second and third actuarial exam. (Spring - Even Years) [Graded (Standard Letter)] Prerequisite(s): MATH 1100 or MATH 1210 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1100 O MATH 1210
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3.00 Credits
Application of numerical and iterative methods to interpret and analyze data, to solve algebraic, differential and systems of equations, and to analyze error in approximations. Topics include numerical linear algebra, calculus and other function approximations. (Spring - Even Years) [Graded (Standard Letter)] Prerequisite(s): (MATH 2250 or MATH 2280) and working knowledge of a programming language or computer algebra system - Prerequisite Min. Grade: C Prerequisite Can Be Concurrent? Yes (MATH 2280) Registration Restriction(s): None
Prerequisite:
MATH 2250 O MATH 2280
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4.00 Credits
A formal, calculus-based introduction to the concepts of probability theory and mathematical statistics. Set theory based probability and probability distributions are studied with the goal of presenting and understanding the underpinnings of statistical methodology. (Fall, Spring, Summer) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1220
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3.00 Credits
Development of mathematical and statistical models and the application of those models to various areas of applied mathematics. Possible applications include, but are not limited to, insurance, investments, bioinformatics, and chemistry. (Spring - Odd Years) [Graded (Standard Letter)] Prerequisite(s): MATH 3700 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 3700
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