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MAT 120: PreCalculus
3.00 Credits
College of Our Lady of the Elms
A course designed to provide the student with the mathematical background needed for calculus. Three main areas of mathematics will be thoroughly studied: the real numbers; the coordinate plane; an introduction to analytic geometry; and functions, polynomials, rational functions, trigonometric functions, exponential and logarithmic functions. Throughout the course, a particular emphasis will be placed on graphing, word problems, basic equations and formulas, and applications.
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MAT 120 - PreCalculus
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MAT 131: Differential Calculus
3.00 Credits
College of Our Lady of the Elms
A study of theory of limits, continuity of a function; derivative of a function; applications of derivatives. Prerequisite: four years of high school mathematics or the consent of the instructor.
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MAT 131 - Differential Calculus
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MAT 132: Integral Calculus
3.00 Credits
College of Our Lady of the Elms
A study of antiderivative and definite integrals of a function, applications. Prerequisite: MAT 131 or the consent of the instructor.
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MAT 132 - Integral Calculus
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MAT 203: Vector Calculus
3.00 Credits
College of Our Lady of the Elms
Parametric equations, polar/spherical coordinate systems. Calculus of several variables; min/max., applications, multiple integrals. Prerequisite: MAT 132 or the consent of the instructor.
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MAT 203 - Vector Calculus
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MAT 205: Linear Algebra
3.00 Credits
College of Our Lady of the Elms
A study of vector spaces, linear transformations, and matrices.
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MAT 205 - Linear Algebra
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MAT 303: Advanced Calculus
3.00 Credits
College of Our Lady of the Elms
A proof-oriented course with emphasis on sound understanding of basic principles of analysis. Topics discussed will include the real number system, functions of one and several variables, vectors and vector fields, linear transformations. Prerequisite: MAT 203 or the consent of the instructor.
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MAT 303 - Advanced Calculus
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MAT 308: Geometry
3.00 Credits
College of Our Lady of the Elms
A study of fundamental theory of projective spaces and of their groups of linear transformations: projective, affine, similarity, Euclidean, and non-Euclidean geometry. Prerequisites: MAT 205 or consent of the instructor.
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MAT 308 - Geometry
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MAT 309: Differential Equations
3.00 Credits
College of Our Lady of the Elms
A study of existence theory, linear differential equations, systems of differential equations, and boundary value problems. Numerical and series solution methods. Applications. Prerequisites: MAT 203-205.
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MAT 309 - Differential Equations
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MAT 310: Numerical Analysis
3.00 Credits
College of Our Lady of the Elms
A study of round-off error, interpolation, solution of linear systems of equations, matrix inversion, numerical integration, numerical solution of differential equations. Emphasis on the theoretical basis of these methods and solution of problems on a computer. Prerequisite: MAT 309 or the consent of the instructor.
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MAT 310 - Numerical Analysis
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MAT 315: Mathematical Probability and Statistics
3.00 Credits
College of Our Lady of the Elms
An introduction to theoretical probability and mathematical statistics. Topics considered will be sample spaces, conditional probability, probability distributions, sampling theory, estimations, and hypothesis testing. Prerequisite: MAT 132.
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MAT 315 - Mathematical Probability and Statistics
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