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MATH 375: Discrete Mathematics
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 181 and MATH 285. This course is designed to study graph theory including networks, voting systems including game theory and fair apportionment, and patterns.
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MATH 375 - Discrete Mathematics
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MATH 380: Elementary Analysis I
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 281 and MATH 285 or consent of the instructor. Rigorous analysis of the calculus and its foundations. Continuous and differentiable functions, and topological properties of the real number line.
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MATH 380 - Elementary Analysis I
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MATH 381: Elementary Analysis II
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 380. Riemann integration, sequences of functions, metric spaces, introduction to calculus of several variables. Emphasis is placed on writing mathematical proofs.
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MATH 381 - Elementary Analysis II
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MATH 390: Numerical Analysis
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 281 or equivalent. Numerical solution of algebraic equations. Approximate numerical solutions of systems of linear and nonlinear equations, interpolation theory, numerical differentiation and integration, and numerical solution of ordinary differential equations.
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MATH 390 - Numerical Analysis
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MATH 410: Abstract Algebra
3.00 Credits
Vanguard University of Southern California
Prerequisites: MATH 300 and MATH 330 or consent of the instructor. An introduction to modern ideas of algebra, set theory, groups, rings, and fields.
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MATH 410 - Abstract Algebra
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MATH 420: Higher Geometry
3.00 Credits
Vanguard University of Southern California
Prerequisite: MATH 285. Euclidean geometry from an advanced standpoint, and topics in non-Euclidean geometry.
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MATH 420 - Higher Geometry
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MATH 470: Special Topics
1.00 - 3.00 Credits
Vanguard University of Southern California
Prerequisite: Consent of the instructor. Study in a special topic in mathematics. May be repeated for credit.
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MATH 470 - Special Topics
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MATH 480: Individual Studies
1.00 - 3.00 Credits
Vanguard University of Southern California
Prerequisite: Consent of the instructor and department chair. May be repeated for credit.
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MATH 480 - Individual Studies
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MATH 499C: Capstone Seminar in Mathematics
3.00 Credits
Vanguard University of Southern California
Prerequisite: Mathematics major with senior standing or consent of the instructor. This course gives each student the opportunity to investigate particular topics in mathematics through research and present their findings to the other members of the class. Each student will investigate the role of the Christian church and its adherents in formulating and promoting discoveries in mathematics. This course fulfills the Core Curriculum Capstone requirement for Mathematics majors.
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MATH 499C - Capstone Seminar in Mathematics
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MILD 305: Church History
3.00 Credits
Vanguard University of Southern California
The development of the Christian Church throughout its history as reflected in its life, thought, institutions, leaders, and literature.
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MILD 305 - Church History
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