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Course Criteria
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3.00 Credits
The construction and study of mathematical models for physical, economic, and social processes. Note: Offered in odd-numbered years only.
Prerequisite:
MATH 2101 (0147) or 2103 (0148) with a grade of C- or higher, and MATH 3041 (0251) or MATH 3045 with a grade of C- or higher
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3.00 Credits
Complex numbers, analytic functions, harmonic functions, power and Laurent series, Cauchy’s theorem, calculus of residues, and conformal mappings. Note: Prior to summer 2010, the course title was “Introduction to Functions of a Complex Variable.”
Prerequisite:
MATH 3142 (0248) with a grade of C- or higher or MATH 3138 with a grade of C or higher
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3.00 Credits
This course is an introduction to differential geometry starting with concepts learned in Calculus III. A particular emphasis will be placed on the study of curves and surfaces in 3-space and their generalizations. The course will revolve around Riemannian geometry, but, time permitting, it will also include a brief introduction to one or more of the following: symplectic geometry and its relation to classical mechanics, general connections and their relation with field theory and pseudoriemannian manifolds, and general relativity.
Prerequisite:
MATH 2043 (0127) with a grade of C or higher and MATH 2101 (0147) or MATH 2103 (0148) or MATH 3051 with a grade of C- or higher or transfer credit for these courses
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3.00 Credits
Topological and metric spaces. Continuity, compactness, connectedness, convergence. Introduction to algebraic and combinatorial topology. Classification of compact surfaces, fundamental groups and covering spaces.
Prerequisite:
MATH 3137 or MATH 3141 (0247) with a grade of C- or higher and MATH 3096 or MATH 3098 (W205) with a grade of C- or higher
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1.00 - 4.00 Credits
Intensive individual study at a senior or graduate level. Arranged each semester. Please consult with the instructor. Note: Can be taken in either semester.
Prerequisite:
Approval of the departmental advisor and instructor
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1.00 - 4.00 Credits
Intensive individual study at a senior or graduate level. Arranged each semester. Please consult with the instructor. Note: Can be taken in either semester.
Prerequisite:
Approval of the departmental advisor and instructor
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3.00 Credits
This is a course in mathematical discovery through problem solving. Students will
be expected to develop two or three areas of mathematics by solving problems,
assigned by the instructor. Problems will be solved both individually and in groups.
(Capstone writing course.)
Prerequisite:
MATH 3096 or MATH 3098 (W205) with a grade of C- or higher and MATH 3138 or MATH 3142 (0248) with a grade of C- or higher
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3.00 Credits
Expand your knowledge by looking at how various technologies such as electricity, automobiles, airplanes, telephones, bridges, highways, electronics, computers, and information technology have transformed the world around us. What would we do without them? Where do they come from? How do they work? Technology is developed by people who have the ideas, design the machines and processes, and suffer the costs and benefits of technological changes in our society. Learn about science and technology through history of discovery, invention and innovation through lectures and labs. We will also study several promising fields which may lead us to the future of technology. Note: This course fulfills a Science & Technology (GS) requirement for
students under GenEd and Science & Technology Second Level (SB) for students under Core.
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3.00 Credits
Can we replace our “worn-out” body parts with space-age materials? Will the day come when an injured athlete buys a tendon for the next big game? Why are your parents spending so much time at the doctor? We are on the verge of building “the bionic human” by repairing many of our body parts indefinitely. Become familiar with bio-engineered technologies for age-, disease-, sports-, and accident-related injuries. Learn why weight bearing exercise strengthens bones, the difference between MRI, CAT scan, and X-Ray, and what the folks at the Food and Drug Administration do. By the time you finish this course, you’ll know how a pig heart could save your life, how stem cell research could affect your future, the purpose of animal testing, and why walking through airport security could be a problem if you have had your hip replaced. Note: This course fulfills a Science & Technology (GS) requirement for students under GenEd and Science & Technology Second Level (SB) for students under Core.
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2.00 Credits
Provides an understanding of the study and practice associated with mechanical engineering and technology disciplines. Understand the importance of good communications and teamwork skills in a successful engineering and technology career. Understand the basics of problem solving and design. Discipline-specific labs.
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