Precalculus
Build strong foundations for higher mathematics
Precalculus serves as the essential bridge between algebra and calculus, establishing the mathematical foundations necessary for advanced mathematical study. This course explores the sophisticated concepts that prepare students for the rigorous world of calculus and beyond. Rather than focusing solely on computational techniques, we'll develop a deep understanding of functions, their properties, and their applications. From polynomial and rational functions to trigonometric identities and exponential growth, you'll build the mathematical maturity needed for higher mathematics. Each lecture will integrate conceptual understanding with problem-solving, creating an environment where mathematical intuition can flourish. We'll work through challenging problems together during the lectures, emphasizing understanding over memorization.
- 1Master the properties and transformations of functions
- 2Develop fluency with trigonometric functions and identities
- 3Understand exponential and logarithmic relationships
- 4Build foundations for limits and continuity
- 5Apply mathematical modeling to real-world situations
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 Precalculus course. Classes start August 6, 2025.