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Course Criteria
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3.00 Credits
Investigates systems of linear equations and methods of solution, matrices and matrix solutions of linear systems, and matrix algebra. Also involves determinants, vectors, and vector spaces. Examines linear transformations, inner products, and norms. Lec. 3 hrs. Pre-requisite: MATH 151 or CC.
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3.00 Credits
Continues MATH 152. Provides additional topics in the calculus of several variables, vector and analytic geometry in space, vector-valued functions, partial differentiation, multiple integration, and integration of vector fields. Also includes Green's, Stokes', and Gauss' Theorems. Computer laboratory is an integral part of the course. Lec. 3 hrs. Pre-requisite: MATH 152 or CC. Co-requisite: MATH 255.
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3.00 Credits
Examines first order equations, linear and systems of linear differential equations, higher order equations, and first order equations with non-constant coefficients. Also covers applications series solutions, and Laplace Transform solution of partial differential equations as well as elliptic and hyperbolic equations. Lec. 3 hrs. Pre-requisite: MATH 253 & MATH 225 or CC.
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1.00 Credits
Explores theoretical concepts and applications of Calculus III (MATH 253) in an experimental environment designed to employ symbolic, numeral, and graphics capabilities of a computer algebra system. Lab 2 hrs. CR.: MATH 253.
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4.00 Credits
Covers ordinary differential equations and topics from linear algebra and the applications to differential equations. Examines first order equations, higher order equations systems of first order linear differential equations, matrices, determinants, vector spaces, eigenvalues, and other selected topics from Linear Algebra. Provides instruction for mathematics, science, and engineering students. Lec. 4 hrs. Pre-requisite: MATH 253 or CC.
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3.00 Credits
Introduces the real number system, its subsystems, and applications. Includes the elementary number theory. Lec. 3 hrs. Pre-requisite: MATH 151 or MATH 215 or CC.
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3.00 Credits
Examines divisibility, numerical functions, the arithmetic of congruency classes, solving congruence's, theory of primitive roots, and quadratic reciprocity. Lec. 3 hrs. Pre-requisite: MATH 151 or CC.
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3.00 Credits
Investigates plane and solid Euclidean geometry from a theoretical and historical perspective, including congruence; parallel postulate and its consequences. Also covers similarity, area and area functions, constructions, volume, and elementary transformations of the plane. Lec. 3 hrs. Pre-requisite: MATH 151 or CC.
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3.00 Credits
Explores completeness and order properties of the real numbers, sequences and their limits, the Bolzano-Weierstrass and Heine-Boral theorems. Also covers limits and continuity, and theory of differentiation and integration as well as infinite series of numbers and infinite series of functions. Lec. 3 hrs. Pre-requisite: MATH 253 & MATH 176, or CC.
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3.00 Credits
Continues MATH 351. Examines n-dimensional Euclidean space and its topology, convergence of sequences, metric spaces, differentiation and integration of functions, and several variables, and vector analysis. Lec. 3 hrs. Pre-requisite: MATH 351 or CC.
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