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Course Criteria
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3.00 Credits
Students learn principles of mathematical thinking by investigating one or more mathematical topics. Recent topics have included dynamic geometry, mathematics of games, and cryptology. Students investigate ideas through technical and non-technical reading and problem solving, introducing them to mathematical literature and exposition. The course is intended for all students. Offered both semesters.
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3.00 Credits
In this mathematical exploration of the geometry underlying the patterns and images of Islamic art and architecture, students encounter the origins of patterns found in Islamic religious beliefs and the development over time of this expression of mathematics through culture. They study and analyze examples occurring in the architecture of buildings and monuments found in the Islamic world. Students apply the acquired geometry and Islamic culture by creating new original patterns and defending them as appropriate representations of Islamic decoration. Offered Spring Semester.
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3.00 Credits
This course introduces differential and integral calculus of functions of a single real variable, including trigonometric, exponential, and logarithmic functions. Derivatives and integrals are explored graphically, symbolically, and numerically. Applications of the derivative are included. Prerequisite: Mathematics Placement Recommendation. Offered both semesters.
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1.00 Credits
Similar to Mathematics 120, but includes a 1-hour weekly laboratory session.
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3.00 Credits
This continuation of Mathematics 120 concentrates on methods and applications of integration and infinite sequences and series. May also include elementary differential equations and multiple integrals. Prerequisite: Mathematics 120, 121, or equivalent, or Mathematics Placement Recommendation. Credit may be earned for either Mathematics 126 or 128, but not both. Offered both semesters.
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3.00 Credits
This course covers the material in Mathematics 126 in greater depth and includes supplementary material. Prerequisite: Mathematics 120, 121, or Mathematics Placement Recommendation. Credit may be earned for either Mathematics 126 or 128, but not both. Offered both semesters.
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3.00 Credits
This course is intended for non-majors. Students encounter selected mathematical topics demonstrating the scope of mathematical inquiry, its "unreasonable effectiveness," and its connections with other disciplines. Not open to first-year students. Offered Interim only.
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3.00 Credits
This course beautifully illustrates the nature of mathematics as a blend of technique, theory, abstraction, and applications. The important problem of solving systems of linear equations leads to the algebra of matrices, determinants, vector spaces, bases and dimension, linear transformations, and eigenvalues. Prerequisite: Mathematics 120 or 121. Offered both semesters.
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3.00 Credits
Mathematicians make discoveries only after computing many examples, noticing patterns, and then inventing tools and language to describe what they see. Using computers, students conceptualize and prove theorems in a variety of mathematical areas. Closed to students who have taken courses beyond Mathematics 232. Prerequisite: Mathematics 126 or 128.
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3.00 Credits
This course extends important ideas of single-variable calculus (derivatives, integrals, graphs, approximation, optimization, fundamental theorems, etc.) to higher-dimensional settings. These extensions make calculus tools far more powerful in modeling the (multi-dimensional) real world. Topics include partial derivatives, multiple integrals, transformations, Jacobians, line and surface integrals, and the fundamental theorems of Green, Stokes, and Gauss. Prerequisites: Mathematics 126 or 128, and 220. Offered both semesters.
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