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MATH 252: Calculus II
4.00 Credits
California Lutheran University
Continues the study of differentiation and integration begun in Calculus I. Introduces indefinite integration and applications of the definite integral. Differential equations and elementary methods to solve them are presented, along with slope fields and some modeling applications. Includes Taylor polynomials and series. A weekly computer lab is a key component of the course.
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MATH 261: Calculus III
4.00 Credits
California Lutheran University
Calculus III extends the concepts of calculus to a multivariable perspective. Topics such as functions, derivatives, integrals and various coordinate systems are used to explore change modeled by two or more variables. Vector algebra and vector fields are introduced to study the motion of objects. A weekly computer laboratory session facilitates exploration, visualization and reinforcement of the main topics of the course. (offered in fall)
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MATH 265: Differential Equations
4.00 Credits
California Lutheran University
Focuses on the formulation of appropriate equations to represent phenomena, the solution (when possible) of such equations and understanding and interpreting the solutions of these equations. Graphical and analytical methods will be explored, as will numerical techniques. (offered in spring)
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MATH 282: Special Topics
1.00 - 4.00 Credits
California Lutheran University
Special Topics
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MATH 343: Linear Algebra
4.00 Credits
California Lutheran University
An introduction to solving systems of linear equations through the use of concepts such as vector spaces, linear transformations, matrices, eigenvalues and eigenvectors. Students will enhance mathematical communication skills through reading and writing proofs and will explore interdisciplinary applications of the theory of linear algebra in projects and computer laboratory assignments.
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MATH 352: Probability and Statistics I
0.00 Credits
California Lutheran University
This course introduces the concepts of probability and statistics. Topics include methods of data description, probability theory, a study of several discrete and continuous distributions, the central limit theorem, estimation of parameters, confidence intervals and hypothesis testing.
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MATH 352 - Probability and Statistics I
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MATH 381: Geometry
4.00 Credits
California Lutheran University
This course primarily investigates the integration of geometries on the plane, sphere and hyperbolic plane. An emphasis is placed on experiencing the meanings in the geometry. Student investigations, small-group learning and writing assignments will be used to explore geometrical ideas. The history and culture of mathematics, particularly as reflected by the development of geometrical understanding, will be threaded through the course.
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MATH 382: Number Theory
4.00 Credits
California Lutheran University
Study of the properties of integers and the history of the discovery of these properties. Topics include fundamental theorems on divisibility, primes and congruences, as well as number-theoretical functions, Diophantine equations, quadratic reciprocity and Fermat's Last Theorem.
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MATH 420: Real Analysis
4.00 Credits
California Lutheran University
A study of the real number system, set theory, sequences, functions, continuity, differentiation and Riemann-Stieltjes integration, with an emphasis on developing the ability to communicate mathematically.
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MATH 425: Abstract Algebra
4.00 Credits
California Lutheran University
Studies the theory of integers, groups, rings, fields and polynomials.
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MATH 425 - Abstract Algebra
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