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MTH 200: Mathematical Computations
1.00 Credits
Alabama A & M University
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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MTH 200 - Mathematical Computations
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MTH 227: Calculus III
4.00 Credits
Alabama A & M University
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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MTH 227 - Calculus III
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MTH 237: Introduction to Linear Algebra
3.00 Credits
Alabama A & M University
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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MTH 237 - Introduction to Linear Algebra
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MTH 238: Applied Differential Equations
3.00 Credits
Alabama A & M University
- 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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MTH 238 - Applied Differential Equations
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MTH 301: Abstract Algebra I
3.00 Credits
Alabama A & M University
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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MTH 301 - Abstract Algebra I
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MTH 302: Abstract Algebra II
3.00 Credits
Alabama A & M University
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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MTH 302 - Abstract Algebra II
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MTH 303: Methods of Mathematical Physics
4.00 Credits
Alabama A & M University
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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MTH 303 - Methods of Mathematical Physics
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MTH 304: Mathematics for Elementary Teachers
3.00 Credits
Alabama A & M University
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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MTH 304 - Mathematics for Elementary Teachers
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MTH 305: Applied Mathematics
3.00 Credits
Alabama A & M University
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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MTH 305 - Applied Mathematics
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MTH 307: Geometry
3.00 Credits
Alabama A & M University
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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MTH 307 - Geometry
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