MAT 1500: Calculus I
Resources
Lecture Notes
- Lesson 0: Welcome to the course!
- Lesson 1: Review of functions and the main ideas of calculus
- Lesson 2: Inverses, Derivatives, and Intro to Limits
- Lesson 3: More on Limits
- Lesson 4: Squeeze Theorem / Continuity
- Lesson 5: IVT / Derivatives Intro
- Lesson 6: Basic Derivatives
- Lesson 7: Derivative Rules
- Lesson 8: Higher Order Derivatives
- Lesson 9: Trig Derivatives + Quotient Rule
- Lesson 10: Chain Rule
- Lesson 11: Implicit Differentiation and review of exponential functions
- Lesson 12: Exponential Functions
- Lesson 13: Logarithmic Differentiation
- Lesson 14: Related Rates
- Lesson 15: Optimization and Linear Approximation
- Lesson 16: Mean Value Theorem
- Lesson 17: Applied Optimization
- Lesson 18: Limits at Infinity
- Lesson 19: Antiderivatives
- Lesson 20: Areas / Definite Integrals
- Lesson 21: Definite Integrals + FTC
- Lesson 22: Applications of Integrals; Substitution
- Lesson 23: Finishing Up; Definite Integrals with Substitution