Darshan Senthil

Calculus

1. 1

   Limits

   1. Introduction to Limits
      1. Introduction to Limits Part 1: The Basic Overview
   2. Determining Limits Graphically
      1. Introduction to Limits Part 2: Evaluating Limits Graphically and Numerically
   3. Determining Limits Algebraically
      1. Evaluating Limits Analytically #1 - Dealing With Removable Discontinuities.
   4. Infinite Limits and Vertical Asymptotes
      1. Finding Limits at Infinity
   5. Continuous Functions
      1. Determining the Continuity of Functions
2. 2

   Derivatives

   1. Rate of Change of a Function
      1. Differential Calculus #1a: Average Rates of Change
   2. Instantaneous Rate of Change at a Point
      1. Differential Calculus #1b The Definition of the Derivative
      2. Differential Calculus #2 What do derivatives look like?
   3. Standard Notation and Terminology
      1. Differential Calculus #2A: Derivative Notation
3. 3

   Basic Differentiation Rules

   1. Power Rule
      1. Differential Calculus #3: The Power Rule
   2. Product Rule
      1. Differential Calculus #5: Product & Quotient Rules
   3. Quotient Rule
      1. Differential Calculus #5: Product & Quotient Rules
   4. Chain Rule
      1. Differential Calculus #6: The Chain Rule
      2. Differential Calculus Practice Problem Set #1A: Chain Rule Practice Problems
   5. Implicit Differentiation
      1. Differential Calculus #7: Implicit Differentiation
      2. Differential Calculus #7A: The Theory Behind Implicit Differentiation
   6. Summary of Differentiation Rules
      1. Differential Calculus #4: Rules of Differentiation
      2. Differential Calculus Practice Problem Set #1: Basic Differentiation
      3. Differential Calculus Practice Problem Set #2: Intermediate Differentiation
4. 4

   Differentiating Trigonometric Functions

   1. Differentiating Inverse Trigonometric Functions
      1. Differential Calculus #9: Derivatives of Inverse Functions
5. 5

   Differentiating Logarithmic Functions

   1. Differentiating Logarithmic Functions with Base e
      1. Differential Calculus #8: Logarithmic Differentiation
      2. Differential Calculus Practice Problem Set #2A: Logarithmic Differentiation Practice
6. 6

   Graphing with the First Derivative

   1. Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)
      1. Differential Calculus #12: Intro to Graphing Derivatives
      2. Differential Calculus Practice Problem Set #3b: Graphing Derivatives Practice Problems
7. 7

   Graphing with the Second Derivative

   1. Relationship between First and Second Derivatives of a Function
      1. Differential Calculus #13a: First and Second Derivatives (Part I)
8. 8

   Applications of Derivatives

   1. Using the Tangent Line to Approximate Function Values
      1. Differential Calculus #10: Linear Approximations (Tangent Line Method)
      2. Derivatives #11: Linear Approximations (Differential Method)
      3. Differential Calculus Practice Problem Set #3a: Linear Approximation Practice Problems

Precalculus

1. 1

   Linear and Quadratic Functions

   1. Graphing Quadratic Functions
      1. Algebra II: Intro to Quadratics
   2. Completing the Square
      1. Quadratics: Vertex form and Completing the square
   3. The Quadratic Formula
      1. Quadratics: Standard Form and Quadratic Formula
2. 2

   Properties of Logarithmic Functions

   1. Logarithm-- Inverse of an Exponential Function
      1. Algebra II: Introduction to Logarithms
      2. Logarithms Practice Problems

Trigonometry

1. 1

   Right Triangles

   1. Special Right Triangles
      1. Trigonometry: Special Right Triangles
   2. Basic Trigonometric Functions
      1. Applying Trigonometric Ratios
      2. Intro to Trigonometric Ratios
2. 2

   Graphing Trigonometric Functions

   1. Radian Measure
      1. Trigonometry: Converting Degrees to Radians (and vice versa)
      2. Trigonometry: Intro to Radians
3. 3

   Triangles and Vectors

   1. Vectors
      1. Intro To Vectors
      2. Vectors Using Trigonometry

Algebra

1. 1

   Linear Equations

   1. Percent Equations
      1. Math Tutorial - Percentage