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Course Criteria
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4.00 Credits
This is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, partial derivatives (including applications), quadratic surfaces, multiple integration, and vector calculus including Green's Theorem, Curl and Divergence, surface integrals, and Stoke's Theorem). Prerequisite: MA 126. Not open to students with credit in MA 353. (Fall, Spring)
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3.00 Credits
This course introduces the basic theory of linear equations and matrices, real vector spaces, bases and dimensions, linear transformations and matrices, determinants, eigenvalues and eigenvectors, inner product spaces, and the diagonalization of symmetric matrices. Additional topics may include quadratic forms and the use of matrix methods to solve systems of linear differential equations. Prerequisite: MA 126. (Offered on sufficient demand)
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3.00 Credits
An introduction to numerical methods, qualitative behavior of first-order differential equations, techniques for solving separable and linear equations analytically, and applications to various models (e.g., population, motion, chemical mixtures, etc.); techniques for solving higher-order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order, and the method of variation of parameters), with emphasis on interpreting the behavior of the solutions, and applications to physical models whose governing equations are of higher order; the Laplace transform as a tool for the solution of initial-value problems whose inhomogeneous terms are discontinuous. Prerequisite: MA 126. Not open to students with credit in MA 355. (Offered on sufficient demand)
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3.00 Credits
The number system; the number line; sentences and statements; logic; sets; relations and functions; modern trends in mathematics education. Does not satisfy requirements for mathematics major, minor, or general studies component. (Fall, Spring)
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3.00 Credits
Elementary propositional logic, proof techniques (including induction and contradiction), sets, functions, algorithms, combinatorial counting techniques, Boolean algebra, and graph theory. Prerequisite: MA 115 or both MA 112 and 113. (Fall)
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3.00 Credits
A course in statistical methods with applications. Descriptive statistics, probability, statistical inference including one- and two-sample problems, Chi-Square applications, oneway analysis of variance, linear correlation and regression analysis, and nonparametric statistics. Prerequisite: MA 112 or equivalent. (Fall, Spring)
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3.00 Credits
A survey of techniques for solving differential equations in which the unknown function depends upon one independent variable; emphasis on analytical techniques, with extensive use of integration methods from calculus; solving higher-order linear differential equations both with constant and with variable coefficients; constucting mathematical models using first-order equations; using the Laplace transform for solving initial-value problems with constant coefficients, both with continuous and discontinuous driving functions. Prerequisite: MA 126. Not open to students with credit in MA 238. (Spring)
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3.00 Credits
A study of the techniques for solving ordinary differential equations by the use of infinite series; numerical methods of solutions; partial differential equations. Prerequisites: MA 227; 238 or 355. (Offered on sufficient demand)
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3.00 Credits
Euclidean and non-Euclidean geometry including the topics of congruence, convexity, and plane and space separation. Prerequisite: MA 126. (Fall)
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3.00 Credits
Practical aspects of teaching and learning mathematics at the secondary level. Topics covered include secondary mathematics curricula, preparation and presentation of lesson material, classroom management, and professional behaviors. Does not satisfy requirements for mathematics major, minor, or general studies component. Prerequisite: credit or concurrent enrollment in MA 421. (Fall)
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