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MATH 3310: Foundations For Advanced Mathematics
3.00 Credits
Our Lady of the Lake University-San Antonio
Fundamental .mathematical .concepts .are .studied .to .provide .students .the .opportunity .to .move .from .concrete .to .abstract .mathematics. .Emphasis is on understanding the importance of definitions and axiomatic .structure .and .on .developing .the .students' .ability .to .create .proofs. Prerequisite: Nine hours of college-level mathematics Offered: .Fall
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MATH 3311: Differential Equations
3.00 Credits
Our Lady of the Lake University-San Antonio
Linear differential equations, first order and higher orders, systems of .linear .differential .equations .and .applications. Prerequisite: MATH 2413
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MATH 3311 - Differential Equations
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MATH 3322: LINEAR ALGEbRA
3.00 Credits
Our Lady of the Lake University-San Antonio
Euclidean .vectors, .matrix .solutions .of .linear .equations, .vector .spaces, .linear .transformations, .orthogonal .spaces, .eigenvalues .and .eigenvectors. Prerequisite: MATH 2412 and MATH 3310
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MATH 3341: GEOmETRY
3.00 Credits
Our Lady of the Lake University-San Antonio
A .study .of .basic .concepts .and .historical .development .in .geometric .theory using Euclidean geometry as a central focus; among the approaches .used .are .synthetic, .transformational .and .coordinate, .with emphasis on logical reasoning, justification and proof in relation to .axiomatic .structures. Prerequisite: MATH 3310 or consent of instructor
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MATH 3363: PRObLEm SOLVING
3.00 Credits
Our Lady of the Lake University-San Antonio
Elementary .problem .solving .using .a .variety .of .techniques, .such .as .recognizing patterns, conjecturing, specializing and generalizing. Strong .emphasis .on .writing. Prerequisite: Nine semester hours of college mathematics credit
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MATH 3414: Calculus III
3.00 Credits
Our Lady of the Lake University-San Antonio
Analytical .geometry .of .three-dimensional .space, .partial .derivatives, .multiple .integrals .and .line .integrals. Prerequisite: MATH 2413 or equivalent
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MATH 4311: Concepts of Calculus
3.00 Credits
Our Lady of the Lake University-San Antonio
A study of the major concepts of differential and integral calculus with .an .emphasis .on .applications. .This .course .is .for .non-science .majors. Students cannot receive credit for this course if they have credit .in .MATH .2412. Prerequisite: MATH 1304 or equivalent
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MATH 4321: mODERN ALGEbRA
3.00 Credits
Our Lady of the Lake University-San Antonio
An introduction to groups, rings and fields. Prerequisite: MATH 3310
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MATH 4361: History And Philosophy of Mathematics
3.00 Credits
Our Lady of the Lake University-San Antonio
Historical .development .of .mathematics .and .the .study .of .various .philosophies .of .mathematics. Prerequisite: MATH 2412 and eight additional semester hours in college-level mathematics or consent of instructor
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MATH 4362: Topics in Discrete Mathematics
3.00 Credits
Our Lady of the Lake University-San Antonio
Set .theory, .relations .and .mappings, .graph .theory, .development .of .algorithms .and .combinatorics. Prerequisite: MATH 3310
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