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.

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.

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.

Elementary Number Theory Divisibility and prime factorization. Congruences; the theorems of Lagrange, Fermat, Wilson, and Euler; residue theory; quadratic reciprocity. Diophantine equations. Arithmetic functions and Mobius inversion. Representation as a sum of squares.

Complex Analysis An introduction to functions of a complex variable. Mappings of the complex plane, analytic functions, Cauchy Integral Theorem and related topics.

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.

David Dorman

Reviews and ratings for David Dorman at Middlebury College.David Dorman teaches Multivariable Calculus, Abstract Algebra I, Linear Algebra and more.  Explore top rated instructors and find the best for you.Is David Dorman good ? Find out on MiddCourses.

Dorman is great, really good at explaining complex topics in Linear Algebra. Exams were take-home which definitely took some pressure off. As long as you do the homework and do the readings before class, you'll do well.

In this class we mostly worked independently in small groups and would turn in assignments. The professor uses an alternative grading scale, which can be frustrating at times but which I feel was more than fair.

This was my first math course at Middlebury. At the beginning it was a little difficult to get used to the teaching style, but after a few lectures I figured out my way. The exams were take home with 48 hours to complete which made the overall experience very nice. 