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.

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.

Geometric Group Theory Groups are abstract algebraic constructions closely related to the idea of symmetry. Geometric group theory is the subject of active research in mathematics that uses tools from graph theory, geometry, and topology to study infinite groups. We will begin with a review of group theory and an introduction to the geometric tools we will need. Collectively, we will use these tools to study free groups and hyperbolic groups, among others. Students will then independently investigate a particular type of group or group property. Students will gain experience reading advanced sources and communicating their insights in expository writing and oral presentations. Fulfills the capstone senior work requirement for the mathematics major. (Approval required and MATH 302) 3hrs sem.

Euclidean and Non-Euclidean Geometries In roughly 300 BCE, Euclid set down his axioms of geometry which subsequently became the standard by which people understood the mathematics of the world around them.  In the first half of the 19th century, mathematicians realized, however, that they could remove one of Euclid’s axioms, the one known as the “parallel postulate,” and still produce logically consistent examples of geometries.  These new geometries displayed behaviors that were wildly different from Euclidean geometry.  In this course we will study examples of these revolutionary non-Euclidean geometries, with a focus on Klein's Erlangen Program, which is a modern way of understanding them.

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.

Rose Morris-Wright

Reviews and ratings for Rose Morris-Wright at Middlebury College.Rose Morris-Wright teaches Calculus I, Real Analysis, Geometric Group Theory and more.  Explore top rated instructors and find the best for you.Is Rose Morris-Wright good ? Find out on MiddCourses.

I really liked the way that she structured her notes for us, had dedicated group work days, and did her best to make sure everyone was following during lectures. The weekly TA sessions I thought were going to be a drag but were actually super helpful and you didn't have to go to every one. Lectures did move fast at times but that isn't her fault.

Course was great. Took AP Calc 1 in highschool and thought that class was harder. Professor was very accommodating, let you bring a notecard to midterms, and was very easy to understand. Definitely take this class.

Course itself is quite interesting but it's proof heavy. Rose is an extremely nice professor and the oral exams are easy to do well in if you spend time learning terms through flashcards and practice. Overall, I felt I could have learned more through a different teaching style but still enjoyed my time.