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MATH 300: Linear Algebra
3.00 Credits
Azusa Pacific University
Matrices and linear transformations and their generalizations in vector space theory are covered. Prerequisite: MATH 251 or instructor's permission
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MATH 300 - Linear Algebra
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MATH 311: Mathematics for Secondary Teachers
3.00 Credits
Azusa Pacific University
A survey of foundations of mathematics essential to the secondary school teacher, this course integrates secondary mathematics concepts with problem-solving strategies and technology. Students expand on their understanding of core math concepts, evaluate lesson plans used in secondary school mathematics, discuss and reflect on effective mathematics pedagogy, analyze readings in the field, engage in collegial interactions with the instructor and fellow students, and develop a repertoire of classroom-tested lessons that can be used in a high school classroom.
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MATH 311 - Mathematics for Secondary Teachers
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MATH 340: Geometry
3.00 Credits
Azusa Pacific University
This course provides a study of Euclidean and non-Euclidean geometry. Also covered are the history of geometry, hyperbolic geometry, space, proof, and logic reasoning. Prerequisite: MATH 252 or instructor's permission
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MATH 340 - Geometry
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MATH 350: Differential Equations
4.00 Credits
Azusa Pacific University
Students are introduced to differential equations, existence and structures of solutions, and applications to physical situations. A computer laboratory approach is used. Prerequisite: MATH 252
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MATH 350 - Differential Equations
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MATH 360: Probability and Statistics
3.00 Credits
Azusa Pacific University
Students gain an introduction to the basic ideas and techniques of probability: counting methods, combinatorics, statistical methods, binomial and normal distributions, moments, correlations, Central Limit Theorem, and hypothesis testing. Prerequisite: MATH 252 or instructor's permission
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MATH 360 - Probability and Statistics
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MATH 400: Abstract Algebra
3.00 Credits
Azusa Pacific University
The abstract structure of algebraic systems such as semi-groups, groups, rings, integral domains, and fields are introduced. Prerequisite: MATH 300 or instructor's permission
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MATH 400 - Abstract Algebra
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MATH 430: Mathematical Physics
3.00 Credits
Azusa Pacific University
Students apply mathematics to physical problems: special functions, Green's functions and boundary-value problems, tensor analysis, Fourier series, generalized coordinates, and calculus of variations. The course may be applied toward upper-division physics or mathematics major requirements. Prerequisites: MATH 253 and MATH 350
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MATH 430 - Mathematical Physics
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MATH 450: Introduction to Real Analysis
3.00 Credits
Azusa Pacific University
This course offers an advanced study of the real-number system, functions, sequences, series, continuity, differentiation, and integration. Prerequisite: MATH 252
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MATH 450 - Introduction to Real Analysis
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MATH 460: History of Mathematics and Number Theory
3.00 Credits
Azusa Pacific University
The history of mathematics and number theory from ancient times to the present is covered through methods and concepts, including theorems of Format, Euler, divisibility, factorization, primes, congruencies, diophantine problems, and other topics.
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MATH 460 - History of Mathematics and Number Theory
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MATH 470: Complex Variables
3.00 Credits
Azusa Pacific University
Students explore the structure of complex numbers and their functions, differentiation and integration of complex functions, and Cauchy's Theorem. Prerequisite: MATH 252
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MATH 470 - Complex Variables
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