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MATH 441: Advanced Calculus
4.00 Credits
The University of Montana-Western
An introduction to the fundamental concepts in calculus such as limits, continuity, differentiability, convergence, sequences, series, and integrability. Prereq: MATH 203 and MATH 341 grade C- or higher, or c/i.
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MATH 441 - Advanced Calculus
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MATH 442: Complex Variables
4.00 Credits
The University of Montana-Western
An introduction to topics in complex variables such as functions, limits, derivatives, integrals, the Cauchy-Riemann conditions, series represen-tation of functions, the Cauchy Integral formula, and elementary con-formal mappings. Prereq: MATH 203 and MATH 341 grade C- or higher, or c/i.
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MATH 442 - Complex Variables
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MATH 443: Abstract Algebra
4.00 Credits
The University of Montana-Western
An introduction to the fundamental algebraic structures such as groups, rings, and fields. Prereq: MATH 343 grade C- or higher, or c/i. (fall)
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MATH 443 - Abstract Algebra
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MATH 444: Advanced Number Theory
4.00 Credits
The University of Montana-Western
An introduction to the principal ideas of number theory such as divisi-bility, congruencies, linear Diophantine equations, Fermat's Theorem, Euler's Theorem, Pythagorean Triples, and the distribution of primes. Prereq: MATH 343 grade C- or higher, or c/i.
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MATH 444 - Advanced Number Theory
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MATH 490: Independent Study
3.00 Credits
The University of Montana-Western
Directed research or study on an individual basis. Prereq: c/i and c/vc. (on demand)
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MATH 490 - Independent Study
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MATH 498: Senior Project/ Thesis r
3.00 Credits
The University of Montana-Western
This is intended as a culminating course for students who wish to incorporate an individually pursued thesis topic within their academic education. The student will complete an appropriate thesis in conjunc-tion with his/her advisor. Assessment will be based on both a written document and oral presentation upon completion of the thesis. Prereq: Senior standing and c/i. (fall/spring)
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MATH 498 - Senior Project/ Thesis r
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MUS 101: Music Fundamentals/ Piano
2.00 Credits
The University of Montana-Western
This course is designed as an introduction to the rhythm, melody, harmony, notation, and history of music. Students will demonstrate basic music literacy skills through singing, playing the piano, and exams. The students will also present oral and written analysis of music in the Western Euro-pean tradition. This class is open to any student wanting a beginning class in music reading and appreciation.
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MUS 113: Instrumental Ensemble r
1.00 Credits
The University of Montana-Western
Music for different combinations of instruments to enrich the experience of qualified performers. Prereq: c/i. (fall/spring)
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MUS 113 - Instrumental Ensemble r
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MUS 114: Orchestral Instruments r
1.00 Credits
The University of Montana-Western
Private lessons on orchestral instruments. Prereq: c/i. (fall/spring)
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MUS 115: Beginning Guitar
2.00 Credits
The University of Montana-Western
Basic techniques of guitar; development of fundamental skills for performance and instruction. Prereq: c/i. (spring/even-numbered years)
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MUS 115 - Beginning Guitar
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