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.

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.

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.

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.

Differential Geometry This course will be an introduction to the concepts of differential geometry.  For curves in space, we will discuss arclength parameterizations, Frenet formulas, curvature, and torsion.  On surfaces, we will explore the Gauss map, the shape operator, and various types of curvature.  We will apply our knowledge to understand geodesics, metrics, and isometries of general geometric spaces.  If time permits, we will consider topics such as minimal surfaces, constant curvature spaces, and the Gauss-Bonnet theorem. (MATH 0200 and MATH 0223) 3 hr. lect./disc.

Galois Theory This course is a tutorial in Galois theory for students who have completed Abstract Algebra.  Starting from the concept of a ring, we will develop the theory of polynomial rings over fields, and use this to carry out an in-depth investigation of field extensions.  Our work together will culminate in proving the fundamental theorem of Galois theory.  Working independently and in small groups, students will explore related areas of algebra and communicate their insights in expository writing and oral presentations.  This course fulfills the capstone senior work requirement for the mathematics major.

Emily Proctor

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

Prof. Proctor was amazing at explaining everything in detail and in a way that was easy to understand. She is very fair with grading and gives partial credit. She also doesn’t make you memorize formulas and such and let us use a note card for every test.

As someone who struggles with math, Prof. Proctor did a really good job explaining concepts. The homework problems were a lot, but very useful for practicing class concepts, which made the exam easier. 

The course content was extremely interesting and enjoyable. Professor Proctor truly made the course an amazing experience. I enjoyed attending lectures and completing homework assignments. Exams were incredibly fair and targeted understanding rather than pure memorization. 