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Course Criteria
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3.00 Credits
A treatment of linear equations, matrices and determinants, vector spaces, inner product spaces, linear transformations, eigenvalues, and eigenvectors. Prerequisites: MTSC 252 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 252
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3.00 Credits
This course is designed to expose students to the principles of elementary number theory. Topics will include divisibility, prime numbers, congruence and Diophantine equations. Additional topics may include partition theory, cryptography or continued fractions. Prerequisites: MTSC-252 Calculus II and MTSC-213 Discrete Mathematics with a grade of 'C' or better, or consent from instructor.
Prerequisite:
(MTSC 252 AND MTSC 213)
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3.00 Credits
This course is designed to expose students to the principles of mathematical counting. Topics will include elementary counting techniques, the principle of inclusion/exclusion, combinatorial arguments including bijective proofs, induction and the pigeonhole principle, recurrence relations and generating functions. Additional topics may include graph theory, design theory, complexity or Polyaenumeration. Prerequisites: MTSC 252 with a "C" or better, or consent of the instructor. Credit, Three hours.
Prerequisite:
(MTSC 252)
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3.00 Credits
The course is a treatment of probability theory with stochastic processes. Topics include sample spaces, probability measures, discrete and continuous random variables, sums of independent random variables, law of large numbers, and the Central Limit Theorem. Markov chain models and their applications in the social and natural sciences are included. Prerequisites: MTSC 251, MTSC 313 with a "C" or better.Credit, three hours.
Prerequisite:
MTSC 251 AND MTSC 313
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3.00 Credits
A treatment of the solutions and applications of first order linear, homogenous and non-homogenous linear nth order differential equations. A presentation of the power series solutions, Laplace transform, linear systems of ordinary differential equations, and methods of numerical solutions. Prerequisites: MTSC 252, MTSC 313 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 252 AND MTSC 313
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3.00 Credits
A study of the activities and assessments used in teaching mathematics at the secodary level. Students explore, evaluate and design activities in the content areas of number and quality, algebra, functions, modeling, geometry, statistics and probability. Content aligned with national and state standards with emphasis on equity and technology. This course should be taken the semester before MTSC 403 Methods of Teching Secondary Mathematics. Prerequisites: Admission into the Teacher Education Program (TEP), MTSC 252 and MTSC 203 with a "C" or better, and consent from the instructor.
Prerequisite:
MTSC 252 AND MTSC 203 AND MTSC 241
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3.00 Credits
A study of the methods and materials used in teaching high school mathematics. The course introduces current educational theory and research methodologies. Topics include national & state standards, effective teaching strategies, lesson plans, technology in the classroom, diversity & equity, assessment, classroom management, professionalism, and current issues and trends. Includes 20 FE hours. This course should be taken the semester before EDUC 400 Pre-Service/ Student Teaching. Prerequisites: Admission into the Teacher Education Program (TEP), MTSC 402with a "C" or better, and consent from the instructor. Credit, three hours.
Prerequisite:
MTSC 402
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3.00 Credits
A study of set theory, functions, integers, groups, matrices, permutation and symmetric groups, LaGrange theorem, normal and factor groups, and homomorphisms. Prerequisites: MTSC 252, MTSC 213 or its equivalent, with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 252 AND MTSC 213
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3.00 Credits
A continuation of MTSC 411 covering rings, integral domains, ideals, polynomial rings, principal ideal domains, and unique factorization domains and fields. Prerequisites: MTSC 411 with a "C" or better.Credit, three hours.
Prerequisite:
MTSC 411
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3.00 Credits
An introduction to the solutions of equations in one (1) variable, direct methods and matrix techniques for solving systems of equations, interpolation and polynomial approximation, numerical differentiation and integration, and the initial value problems for ordinary differential equations. Prerequisites: MTSC 252, CSCI 240 or CSCI 262 or other programming language, with a "C" or better. Credit, three hours.
Prerequisite:
(MTSC 252 AND CSCI 240 OR CSCI 262)
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