Algebra
Explore the language of mathematical structures
Algebra offers a powerful language for expressing mathematical relationships. This course explores the structures that emerge when we study mathematics through an algebraic lens. Rather than focusing solely on computational techniques, we'll delve into the conceptual foundations that make algebra a cornerstone of mathematical thought. From the symmetries of equations to the properties of algebraic systems, you'll develop a deeper appreciation for mathematical reasoning. Each lecture will integrate exploration with collaborative problem-solving, creating an environment where mathematical intuition can flourish. We'll work through problems together during the lectures, emphasizing understanding over memorization.
- 1Develop thinking through algebraic structures
- 2Understand the foundations of equations and functions
- 3Explore the connections between algebra and other mathematical domains
- 4Build intuition for mathematical relationships and patterns
- 5Apply algebraic reasoning to diverse problem contexts
Week 1 Materials
Access lecture videos, notes, and problem sets for this week
Lecture Video
Lecture Notes
Problem Sets
All lectures are conducted online via Zoom. Meeting links will be provided to enrolled students.
Ready to Join?
Enroll now to secure your spot in our Algebra course. Classes start August 3, 2025.