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MATH 442: Euclidean Geometry
4.00 Credits
California Polytechnic State University-San Luis Obispo
Foundations of Euclidean geometry, finite geometries, congruence, similarities, polygonal regions, circles and spheres. Constructions, mensuration, the parallel postulate. Appropriate for prospective and in-service mathematics teachers. 4 lectures. Prerequisite: MATH 248 with a grade of C- or better or consent of instructor. Recommended: MATH 300 or familiarity with dynamic geometry software.
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MATH 442 - Euclidean Geometry
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MATH 443: Modern Geometries
4.00 Credits
California Polytechnic State University-San Luis Obispo
Non-Euclidean and projective geometries. Properties of parallels, biangles, Saccheri and Lambert quadrilaterals, angle-sum and area. Limiting curves, hyperbolic trigonometry, duality, perspectivity, quadrangles, fundamental theorems of projective geometry, conics. 4 lectures. Prerequisite: MATH 442.
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MATH 443 - Modern Geometries
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MATH 451: Numerical Analysis I
4.00 Credits
California Polytechnic State University-San Luis Obispo
Topics in interpolation and approximation methods, initial value problems, and boundary value problems of ordinary differential equations. 4 lectures. Prerequisite: MATH 206 and MATH 242, or MATH 241 and MATH 244, and an introductory college-level programming course, or consent of instructor.
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MATH 451 - Numerical Analysis I
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MATH 452: Numerical Analysis II
4.00 Credits
California Polytechnic State University-San Luis Obispo
Numerical techniques for solving partial differential equations of the parabolic, hyperbolic and elliptic type. Further topics in approximation theory. 4 lectures. Prerequisite: MATH 451 or equivalent.
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MATH 452 - Numerical Analysis II
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MATH 459: Senior Seminar
4.00 Credits
California Polytechnic State University-San Luis Obispo
Written and oral analyses and presentations by students on topics from advanced mathematics and mathematical modeling. 4 seminars. Prerequisite: MATH 306, and completion of at least two additional upper-division courses in the math major, or consent of instructor.
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MATH 459 - Senior Seminar
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MATH 461,462: Senior Project I,II
2.00 Credits
California Polytechnic State University-San Luis Obispo
Selection and completion of a project under faculty supervision. Projects typical of problems which graduates must solve in their fields of employment. Project results are presented in a formal report. Minimum 120 hours total time. MATH 461 prerequisite: MATH 459. MATH 462 prerequisite: MATH 461.
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MATH 461,462 - Senior Project I,II
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MATH 470: Selected Advanced Topics
1.00 - 4.00 Credits
California Polytechnic State University-San Luis Obispo
Directed group study of selected topics for advanced students. Open to undergraduate and graduate students. The Schedule of Classes will list topic selected. Total credit limited to 8 units. 1 to 4 lectures. Prerequisite: Junior standing and consent of instructor.
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MATH 470 - Selected Advanced Topics
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MATH 481,482: Abstract Algebra I,II
4.00 Credits
California Polytechnic State University-San Luis Obispo
Introduction to the study of algebraic structures, including groups, rings and fields. 4 lectures. MATH 481 prerequisite: MATH 306 or MATH 341 or consent of instructor. MATH 482 prerequisite: MATH 481.
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MATH 481,482 - Abstract Algebra I,II
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MATH 485: Cooperative Education Experience
3.00 - 6.00 Credits
California Polytechnic State University-San Luis Obispo
Part-time work experience in business, industry, government, and other areas of student career interest. Positions are paid and usually require relocation and registration in course for two consecutive quarters. Formal report and evaluation by work supervisor required. Total credit limited to 16 units. Credit/No Credit grading only. Prerequisite: Sophomore standing and consent of instructor.
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MATH 485 - Cooperative Education Experience
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MATH 491: Abstract Algebra I Laboratory
1.00 - 3.00 Credits
California Polytechnic State University-San Luis Obispo
Facilitated study and discussion of the methods and techniques of proof in abstract algebra. Credit/No Credit grading only. 1 laboratory. Corequisite: Concurrent enrollment in the associated section of MATH 481.
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MATH 491 - Abstract Algebra I Laboratory
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