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MATH 219: Multivariate Calculus
3.00 Credits
Briar Cliff University
Vectors in space, lines and planes, quadric surfaces, vector-valued functions, curvilinear motion, functions of several variables, partial derivatives, tangent planes, optimization, multiple integrals, vector fields and line integrals. Prerequisite: MATH 218 Fall 2007
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MATH 219 - Multivariate Calculus
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MATH 225: Discrete Mathematics
3.00 Credits
Briar Cliff University
Set theory, sequences, counting principles, probability, matrix algebra, relations, functions, algorithms, ordering and binary operations, Boolean algebras, graphs and trees. Prerequisite: MATH 111 or recommendation of the department chairperson based on mathematics assessment Fall 2007
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MATH 225 - Discrete Mathematics
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MATH 245: Introduction to Mathematical Thinking
2.00 - 3.00 Credits
Briar Cliff University
A bridge course to a fundamental conceptual understanding of the nature of mathematics. Topics include inductive and deductive reasoning, abstraction and generalization, valid arguments, counterexamples, conjecture and proof, and methods of proof. Prerequisite: MATH 218 Fall 2008
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MATH 245 - Introduction to Mathematical Thinking
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MATH 275,375,475: Independent Study
3.00 Credits
Briar Cliff University
Topics chosen from an area of mathematics of interest to the student and the instructor. Available to mathematics majors and minors only. Prerequisite: consent of the department chairperson. With departmental approval
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MATH 275,375,475 - Independent Study
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MATH 2A: Basic Algebra I
1.00 - 3.00 Credits
Briar Cliff University
The first semester of first-year high school algebra from signed numbers to factoring polynomials. Prerequisite: MATH 1A or recommendation of the department based upon math assessment Fall, Winter
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MATH 2A - Basic Algebra I
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MATH 344: Linear Algebra
3.00 Credits
Briar Cliff University
Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, basis and dimension, eigenvalues and eigenvectors, linear transformations and applications. Prerequisite : MATH 218 Winter 2008
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MATH 344 - Linear Algebra
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MATH 348: Ordinary Differential Equations
3.00 Credits
Briar Cliff University
Methods of solution of various types of first and second order ODEs using analytical, numerical and graphical approaches. Topics include modeling with ODEs, growth and decay, slope fields, equilibria, linear ODEs, predator-prey models, harmonic oscillators, linear systems, eigenvalues and eigenvectors, and Laplace transforms. TBA
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MATH 348 - Ordinary Differential Equations
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MATH 350: Numerical Analysis
3.00 Credits
Briar Cliff University
An introduction to numerical analysis with emphasis on numerical methods and computer solutions. Intended for students in mathematics, natural sciences and pre-engineering. The topics covered will include Newton, Trapezoidal, Simpson methods, Gauss quadrature, interpolation, curve-fitting and splines. Prerequisite: MATH 218 Spring 2009
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MATH 350 - Numerical Analysis
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MATH 360: Probability and Statistics I
3.00 Credits
Briar Cliff University
An introduction to the theory and applications of statistics for mathematics, natural science, computer science and engineering students. Topics include probability, random variables, momentgenerating functions, estimation, hypothesis testing and two-sample problems. Prerequisite: MATH 218 Winter 2007
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MATH 360 - Probability and Statistics I
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MATH 361: Probability and Statistics II
3.00 Credits
Briar Cliff University
A continuation of MATH 360. Topics to be covered include goodness-of-fit, regression and correlation, analysis of variance, block designs and non-parametric statistics. Prerequisite: MATH 360 Spring 2008
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MATH 361 - Probability and Statistics II
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