Math 113 Harvard -

The course often uses Abstract Algebra by Dummit and Foote (chapters 1–7 and 9–14) or A First Course in Abstract Algebra by John B. Fraleigh.

At its core, Math 113 serves as a bridge. It connects the computational, procedural calculus learned in introductory courses (like Math 21 or Math 22) with the abstract, proof-based reasoning required for upper-level seminars. math 113 harvard

In recent years, instructors like , Curtis McMullen , and Dennis Gaitsgory have rotated through Math 113. Each brings a unique flavor. Gaitsgory, for example, is known for a category-theoretic approach that can overwhelm even strong students. DeMarco’s version often emphasizes geometric examples, connecting groups to complex dynamics. The course often uses Abstract Algebra by Dummit

Harvard University’s is a foundational 100-level course designed to introduce undergraduates to the elegant and surprisingly rigid world of complex-valued functions. Often described as a "crown jewel" of undergraduate mathematics, the course moves beyond standard calculus to explore how functions behave when their inputs are complex numbers ( 1. Course Overview and Philosophy Gaitsgory, for example, is known for a category-theoretic

: January 26 – April 29, 2026, meeting from 10:30am to 11:45am. Harvard University Requirements & Difficulty math 113: analysis i: complex function theory

: Establishing the conditions under which a complex function is differentiable.

To understand the curvature of a surface, one must understand the Linear Transformation known as the "Shape Operator" (or Weingarten Map). This requires a deep, intuitive grasp of eigenvalues, eigenvectors, and diagonalization. The geometry of a surface—whether it is shaped like a bowl (elliptic) or a saddle (hyperbolic)—is determined by the eigenvalues of this operator.