📚 Professor Leonard. Calculus 1 – Lectures Index

• Lecture 0.1 – Lines, Angle of Inclination, and the Distance Formula
• Lecture 0.2 – Introduction to Functions
• Lecture 0.3 – Review of Trigonometry and Graphing Trigonometric Functions
• Lecture 0.4 – Combining and Composition of Functions
• Lecture 1.1 – An Introduction to Limits
• Lecture 1.2 – Properties of Limits: Techniques of Limit Computation
• Lecture 1.4 – Continuity of Functions
• Lecture 1.5 – Slope of a Curve, Velocity, and Rates of Change
• Lecture 2.1 – Introduction to the Derivative of a Function
• Lecture 2.2 – Techniques of Differentiation (Finding Derivatives of Functions Easily)
• Lecture 2.3 – The Product and Quotient Rules for Derivatives of Functions
• Lecture 2.4 – Applications of the Derivative
• Lecture 2.5 – Finding Derivatives of Trigonometric Functions
• Lecture 2.6 – Discussion of the Chain Rule for Derivatives of Functions
• Lecture 2.7 – Implicit Differentiation
• Lecture 2.8 – Related Rates
• Lecture 3.1 – Increasing/Decreasing and Concavity of Functions
• Lecture 3.2 – A Brief Discussion of Rolle’s Theorem and Mean Value Theorem
• Lecture 3.3 – The First Derivative Test for Increasing and Decreasing
• Lecture 3.4 – The Second Derivative Test for Concavity of Functions
• Lecture 3.5 – Limits of Functions at Infinity
• Lecture 3.6 – How to Sketch Graphs of Functions
• Lecture 3.7 – Optimization: Max/Min Application Problems
• Lecture 4.1 – An Introduction to the Indefinite Integral
• Lecture 4.2 – Integration by Substitution
• Lecture 4.3 – Area Under a Curve, Limit Approach, Riemann Sums
• Lecture 4.4 – The Evaluation of Definite Integrals
• Lecture 4.5 – The Fundamental Theorem of Calculus
• Lecture 5.1 – Finding Area Between Two Curves
• Lecture 5.2 – Volume of Solids by Disks and Washers Method
• Lecture 5.3 – Volume of Solids by Cylindrical Shells Method
• Lecture 5.4 – Finding the Length of a Curve on a Plane