Frank Swenton

Professor of Mathematics

 
 work802.443.3421
 On leave academic year (2017-18)
 on leave academic year

Degrees, Specializations & Interests:
B.S., The Ohio State University; Ph.D., Princeton University;
(Combinatorial Low-dimensional Topology)

 

Courses

Course List: 

Courses offered in the past four years.
indicates offered in the current term
indicates offered in the upcoming term[s]

CSCI 1099 - GUI Applications in C++/Qt      

GUI Applications in C++Qt
In this coding-intensive course, students will gain an understanding of the C++ language through the development of Graphical User Interface (GUI) applications within the cross-platform Qt development environment. We will begin with small, simple applications, culminating in application development projects of the students’ choosing, all the while building our understanding of fundamental C++ concepts such as classes, templates, pointers, constructors/destructors, and ownership. (Approval required)
WTR

Winter 2014

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INTD 0500 - Independent Study      

Independent Study
Approval Required

Winter 2014, Winter 2015, Winter 2016, Winter 2017

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MATH 0121 - Calculus I      

Calculus I
Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. 4 hrs. lect./disc. DED

Fall 2013

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MATH 0122 - Calculus II      

Calculus II
A continuation of MATH 0121, may be elected by first-year students who have had an introduction to analytic geometry and calculus in secondary school. Topics include a brief review of natural logarithm and exponential functions, calculus of the elementary transcendental functions, techniques of integration, improper integrals, applications of integrals including problems of finding volumes, infinite series and Taylor's theorem, polar coordinates, ordinary differential equations. (MATH 0121 or by waiver) 4 hrs. lect./disc. DED

Spring 2015, Spring 2016, Spring 2017

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MATH 0200 - Linear Algebra      

Linear Algebra
Matrices and systems of linear equations, the Euclidean space of three dimensions and other real vector spaces, independence and dimensions, scalar products and orthogonality, linear transformations and matrix representations, eigenvalues and similarity, determinants, the inverse of a matrix and Cramer's rule. (MATH 0121 or by waiver) 3 hrs. lect./disc. DED

Fall 2014, Fall 2016

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MATH 0223 - Multivariable Calculus      

Multivariable Calculus
The calculus of functions of more than one variable. Introductory vector analysis, analytic geometry of three dimensions, partial differentiation, multiple integration, line integrals, elementary vector field theory, and applications. (MATH 0122 and MATH 0200 or by waiver) 3 hrs. lect./disc. DED

Fall 2015

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MATH 0302 - Abstract Algebra I      

Abstract Algebra
Groups, subgroups, Lagrange's theorem, homomorphisms, normal subgroups and quotient groups, rings and ideals, integral domains and fields, the field of quotients of a domain, the ring of polynomials over a domain, Euclidean domains, principal ideal domains, unique factorization, factorization in a polynomial ring. (MATH 0200 or by waiver) 3 hrs. lect./disc. DED

Spring 2015

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MATH 0323 - Real Analysis      

Real Analysis
An axiomatic treatment of the topology of the real line, real analysis, and calculus. Topics include neighborhoods, compactness, limits, continuity, differentiation, Riemann integration, and uniform convergence. (MATH 0223) 3 hrs. lect./disc. DED

Fall 2015

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MATH 0325 - Complex Analysis      

Complex Analysis
An introduction to functions of a complex variable. Mappings of the complex plane, analytic functions, Cauchy Integral Theorem and related topics. (MATH 0223 or by waiver) 3 hrs. lect./disc. DED

Spring 2017

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MATH 0500 - Advanced Study      

Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.

Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016, Spring 2016, Fall 2016, Winter 2017, Spring 2017, Spring 2018

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Department of Mathematics

Warner Hall
303 College Street
Middlebury College
Middlebury, VT 05753