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Courses 2012- 2013
   
3 credits
Fall
3 credits
Fall
3 credits
Fall
3 credits
Fall
3 credits
Winter
3 credits
Winter
3 credits
Winter
3 credits
Winter
6 credits
Spring/Summer

 

MATH5036: Measure Theory

Sigma-algebras and measures, Borel and Lebesgue measures on Euclidean spaces, measurable functions and integration, convergence theorems, signed measures and the Randon-Nikodym theorem, product measure and Fubini theorem.

Prerequisite: MATH3137 or equivalent

MATH5046: Complex Analysis

Conformal mapping, Riemann mapping theorem, Laurent’s Series, representation of entire functions and meromorphic functions.

Prerequisite: MATH3137 and MATH3146 or equivalent

MATH5056: Algebra

Groups, Sylow theorems, rings and modules.
Prerequisite: MATH3157 or equivalent
 

MATH5066: General Topology

Topological spaces, compactness and connectedness, separation axioms, Tychonov theorem, Stone-Cech compactification, complete metric spaces ad Baire category.
Prerequisite: MATH3166 or equivalent
 

MATH5067: Introduction to Algebraic Topology

Homotopy, fundamental group and the van Kampen theorem, covering spaces, fibrations and cofibrations, higher homotopy groups, CW-complexes and cellular approximation.
Prerequisite: MATH5056 and MATH5166
 

MATH5086: Functional Analysis

Topological vector spaces, Freshet spaces, the Banach-Steinhaus theorem, the open mapping and closed graph theorems, convexity, the Hahn-Banach theorems, Banach spaces and duality in Banach spaces, adjoints and compact operators, Hilbert spaces.
Prerequisite: MATH5136
 

MATH6101: Selected Topics in Pure Mathematics

Faculty or visiting faculty will teach a recent research topic in one of the areas of: algebra, analysis, functional analysis or topology.  This course may be offered as a reading course.
Prerequisite: Permission of the faculty
 

MATH6201: Selected Topics in Computational Mathematics

Faculty or visiting faculty will teach a topic in computational applications of the areas such as algebra, analysis, functional analysis or topology.  This course may be offered as a reading course.
Prerequisite: Permission of the faculty
 

MATH6001: Major Research Paper

Completion of a Major Research Paper is required. The research paper must be approved by the Supervisory Committee. The supervision and examination of all graduate Major Research Papers at Nipissing are administered by the School of Graduate Studies.

 

Note that the courses Math 6101 and 6206 will depend on the availability of the faculty and demand by the students.

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100 College Drive, Box 5002
North Bay, ON, Canada
P1B 8L7
Tel: 705.474.3450
TTY: 877.688.5507
Brantford Campus
50 Wellington St.
Brantford, ON, Canada
N3T 2L6
Tel: 519.752.1524
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125 Wellington Street
Bracebridge, ON, Canada
P1L 1E2
Tel: 705.645.2921
 

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