MATH 152 CALCULUS II A continuation of Mathematics 151. Emphasis on some integration techniques. Applications of integration including area, volume, arc length, work, improper integrals; parametric equations. Use of a CAS. Prerequisite: C or higher in 151 or permission of instructor. Four semester hours. MATH 161X INTRODUCTION TO STATISTICS (STATISTICS 161) MATH 201 INTRODUCTION TO MATHEMATICAL REASONING (CT) Topics in discrete mathematics; mathematics topics and processes essential to proper understanding of material to be covered in advanced courses; emphasis on techniques of mathematical reasoning. This course satisfies the proficiency requirement for Critical Thinking in the disciplines. Prerequisites: 151 and sophomore status or departmental permission. Three semester hours. MATH 253 CALCULUS III Infinite series; two- and three-dimensional vectors, vector calculus; partial derivatives; multiple integrals. Use of a CAS. Prerequisite: C or higher in 152 or permission of instructor. Four semester hours. MATH 311 FUNDAMENTALS OF MATHEMATICS IN ELEMENTARY AND MIDDLE SCHOOLS Content and pedagogy of elementary and middle school mathematics. Problem solving, logic, sets, number theory, and structure, algorithms of rational numbers, geometry, probability, and statistics. Not applicable toward mathematics major. Prerequisites: one college level mathematics course and junior status. Three semester hours. MATH 312 FUNDAMENTALS OF MATHEMATICS IN SECONDARY SCHOOLS Content and pedagogy of secondary school mathematics. Problem solving, logic, sets, number theory, and structure, algorithms of rational numbers, geometry, probability, and statistics. Not applicable toward mathematics major. Prerequisites: one college level mathematics course and junior status. Three semester hours. MATH 321 LINEAR ALGEBRA Vector spaces, linear dependence, linear mappings, the algebra of matrices over a field, characteristic equations, characteristic roots. Prerequisite: 201. Three semester hours. MATH 340 GEOMETRY Topics from Euclidean geometry, using transformational approach; general axiomatic systems leading to finite and non-Euclidean geometries. Prerequisite: 201 or departmental permission. Three semester hours. MATH 350 SPECIAL TOPICS IN MATHEMATICS Topics selected by the instructor for one semester of study based on needs and interests of students, including (but not limited to) number theory, cryptology, real analysis, graph theory, or coding theory. Prerequisites: junior or senior status and permission of instructor. One to four semester hours. MATH 353 DIFFERENTIAL EQUATIONS Some first-order methods; second-order constant coefficient equations; series solutions; first-order linear and nonlinear systems and phase-plane analysis. Applications including population growth models, simple and forced harmonic motion, the pendulum, and chaotic behavior. Use of a CAS. Prerequisites: 201 and 253. Three semester hours. MATH 360 MATHEMATICAL PROBABILITY AND STATISTICS (ER, QL) (STATISTICS 360X) An introduction to the mathematical theories of probability and statistics, including some topics such as combinatorial methods, conditional probability and independence, discrete and continuous random variables, expectation, simple and multiple regression, analysis of variance, contingency tables, time series, logistic regression, and experimental design. This course satisfies the proficiency requirements for Ethical Reasoning and Quantitative Literacy in the disciplines. Prerequisites: Mathematics 152 and Statistics 161, or permission of instructor. Three semester hours.
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