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Course Page
Syllabus
Assignments
Lectures
Important Dates
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MATH 3210: Euclidean and Non-Euclidean Geometry
Spring 2020
MWF 1:00-1:50 pm, ECCR 131
Prerequisites
The material from the prerequisite courses
(Discrete Mathematics/Number Systems and
Linear Algebra) needed for this course
includes the following:
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basics of logic:
logical connectives, quantifiers, determining the truth value of a statement,
negating statements, logical equivalence
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methods of proof, mathematical induction;
recognizing logical errors, constructing simple proofs
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sets, operations on sets
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functions, one-to-one and onto functions, composition of functions,
inverse function
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equivalence relations and partitions
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vector spaces over R, linear combinations, span,
linear independence, basis
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equations for lines in R2
(general form, slope‒intercept form, point‒slope form,
two-point form)
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linear transformations and their matrices in given bases
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R2 as a Euclidean space; orthogonal transformations
and orthogonal matrices
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