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Course Criteria
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1.00 Credits
1 hr. A comprehensive study of the interrelation of topics from Pre- Calculus Algebra and Trigonometry, Calculus I and II, and Linear Algebra. This course may not be used as a designated Mathematics elective in any degree program; however it may be used to fulfill, in part, elective credits (free electives) required in degree programs in the Department of Mathematics.
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4.00 Credits
4 hrs. Vector-valued functions; functions of several variables, partial derivatives and their applications; quadric surfaces, multiple integration, and vector calculus, including line and surface integrals; curl and divergence, Green's Theorem, and Stoke's Theorem. This is the third of three courses in the basic calculus sequence. Prerequisite: MTH 126 or MTH 146. ( Offered Fall, Spring, Summer)
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3.00 Credits
3 hrs. Introduction to theory of matrices, determinants, methods of solving the linear system Ax = b via Gaussian elimination, Gauss-Jordan elimination, eigenvalues and eigenvectors, diagonalization of matrices, real vector spaces, bases and dimension, linear transformations and inner product spaces. Additional topics may include quadratic forms and applications of matrix theory in solving differential equations. Prerequisites: MTH 126 or MTH 146. ( Offered Fall, Spring, Summer)
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3.00 Credits
- 3 hrs. 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, including populations, motions and chemical mixtures. Also taught are techniques for solving higher order linear differential equations with constant coefficients, including the general theory and the method of undetermined coefficients, reduction of order, and variation of parameters. Discussions include interpretation of the behavior of solutions, and applications to physical models with higher order governing equations. The Laplace transform as a tool for solving initial value problems with discontinuous inhomogeneous terms. Prerequisite: MTH 126 or MTH 146. ( Offered Fall, Spring, Summer)
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3.00 Credits
3 hrs. Sets, relations, and functions; properties of integers and induction; permutations; groups, group homomorphisms, and quotient groups; Cartesian and direct products. Prerequisite: MTH 237 ( Offered Fall)
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3.00 Credits
3 hrs. A continuation of MTH 301. Rings, ring homomorphisms, ideals, quotient rings; integral domains; fields and polynomial extensions of fields. Prerequisite: MTH 301 ( Offered Spring)
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4.00 Credits
4 hrs. Vector calculus; partial differential equations; boundary value problems. Also included are the Fourier series, Laplace transforms, and Green's function methods. Prerequisite: MTH 227 (Offered Fall and/or Spring)
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3.00 Credits
3 hrs. Topics in the K-6 mathematics curriculum: counting, integers, the fundamental operations of arithmetic, ratio and proportion, elementary geometry, uncertainty and data interpretation. Problem solving, investigation, reasoning, communication, and the use of technology are integral parts of this course. This course is not open to Mathematics or Secondary Education Majors. Prerequisites: MTH 112 or MTH 107 ( Offered Fall, Spring, Summer)
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3.00 Credits
3 hrs. Functions of several variables, partial derivatives, differentials, power series, binomial series, Maclaurin and Taylor series, and solution of elementary first order and second order differential equations. Applications for engineering technology are included. This course is not open to Mathematics majors or Secondary Education Mathematics majors. Prerequisite: MTH 126 or MTH 146.
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3.00 Credits
3 hrs. A study of plane and solid Euclidean geometry from the modern viewpoint; relationships of Euclidean and non-Euclidean geometry, selected topics of affine and projective geometry. This course is open to Elementary and Secondary Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 112. ( Offered Spring)
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