Page 155 - Catalogue 2015-2016

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of high school mathematics is sufficient) the first-year seminar demands mathematical curiosity,
enthusiasm and flexibility, as the ideas to be investigated will be challenging. Students
interested in majoring in mathematics are encouraged to take this seminar even though it does
not count for the major because they will be exposed to ideas that are not covered elsewhere in
the curriculum. See Topics Courses. Prerequisite: Three years of high school mathematics.
110. Great Mathematical Ideas
Investigation of a variety of great mathematical discoveries past and present. The ideas
investigated will not require significant previous mathematical background, but will require the
student to actively participate in the process of mathematical discovery. Only by doing
mathematics can the creativity, beauty, and mathematical importance of these great ideas be
understood. Specific content varies with the course instructor, but may include subjects such as
knot theory, origami, game theory, the nature of infinity, or chaos and fractals. Recommended
for non-mathematics majors. This course is not open to students who have completed MAT 120
or higher. This course does not count toward a mathematics major or minor. Prerequisite: Two
years of high school algebra. (Mathematics)
119-120. Calculus of a Single Variable Part I and II
Differential and integral calculus of functions of one real variable and analytic geometry of two
variables. This course emphasizes review of precalculus material and is appropriate for students
who feel they need more time in order to succeed in calculus. Prerequisite: three and one-half
years of high school mathematics, including trigonometry. Unless a departmental exception is
granted, this course combination must be taken in consecutive terms. This course is not open to
students who have completed MAT 121 or higher. (Mathematics)
121. Calculus of a Single Variable
Differential and integral calculus of functions of one real variable and analytic geometry of two
variables. Prerequisites: three and one-half years of high school mathematics, including
trigonometry, in addition to an ACT Math score of 25 or above, or SAT Math score of 570 or
above, or permission of instructor. This course is not open to students who have completed MAT
120. (Mathematics)
122. Calculus of Several Variables
Continuation of Calculus of a Single Variable, including further techniques of integration,
vectors, and differential and integral calculus of several variables. Prerequisite: MAT 120 or 121.
(Mathematics)
155. Topics in Mathematics
See Topics Courses.
221. Linear Algebra
Existence and uniqueness of solutions to linear systems. Linear transformations, linear
independence, spanning vectors, vector spaces, basis and dimension, orthogonality, eigenvalues
and eigenvectors. Students will be required to prepare written and oral presentations on a linear
algebra application approved by the instructor. Prerequisites: MAT 120 or 121 and CSC 151 or
MAT 122.
231. Fundamentals of Geometries
An examination of the assumptions inherent in the axiomatic structures of two-dimensional
geometry through the parallel postulate and its alternatives. Additional topics may include
Cornell College 2016-17 Academic Catalogue 155
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