Lecture Notes
- Lecture 1 – Numbers
- Lecture 2 – Absolute Values and the Cartesian Plane
- Lecture 3 – Lines and Circles
- Lecture 4 – Functions
- Lecture 5 – Graphs of Functions
- Lecture 6 – Types of Functions
- Lecture 7 – Tangent Lines
- Lecture 8 – Velocity
- Lecture 9 – Introduction to Limits
- Lecture 10 – Properties of Limits
- Lecture 11 – More Limit Examples
- Lecture 12 – Limit Definition Revisited
- Lecture 13 – Continuity
- Lecture 14 – Discontinuities
- Lecture 15 – Properties of Continuous Functions
- Lecture 16 – Slopes of Tangent Lines
- Lecture 17 – Rates of Change
- Lecture 18 – Derivatives
- Lecture 19 – Derivatives of Functions
- Lecture 20 – Differentiation of Polynomials
- Lecture 21 – Differentiation of Quotients
- Lecture 22 – Differentiation of Powers and Products
- Lecture 23 – Higher-order Derivatives
- Lecture 24 – The Chain Rule
- Lecture 25 – More on the Chain Rule
- Lecture 26 – More on Rates of Change
- Lecture 27 – Functions Defined Implicitly
- Lecture 28 – Implicit Differentiation
- Lecture 29 – Related Rates
- Lecture 30 – Related Rates: More Examples
- Lecture 31 – Linear Approximations