Free online courseCalculus 1

Conteúdo do Curso

• Video class: The Velocity Problem | Part I: Numerically

  0h07m

• Exercise: What is the difference between average velocity and instantaneous velocity as described in the context of the velocity problem?

• Video class: The Velocity Problem | Part II: Graphically

  0h07m

• Video class: A Tale of Three Functions | Intro to Limits Part I

  0h04m

• Video class: A Tale of Three Functions | Intro to Limits Part II

  0h08m

• Exercise: What is the definition of a limit in calculus as it relates to the behavior of a function near a designated point, regardless of the function's behavior at that point?

• Video class: What is an infinite limit?

  0h04m

• Video class: Limit Laws | Breaking Up Complicated Limits Into Simpler Ones

  0h06m

• Video class: Building up to computing limits of rational functions

  0h03m

• Exercise: What is the limit of the function f(x) = 3x^3 + x - 1 as x approaches the value a?

• Video class: Limits of Oscillating Functions and the Squeeze Theorem

  0h06m

• Video class: Top 4 Algebraic Tricks for Computing Limits

  0h07m

• Video class: A Limit Example Combining Multiple Algebraic Tricks

  0h07m

• Exercise: Which of the following statements correctly describes a characteristic of the function presented in the limit problem?

• Video class: Limits are simple for continuous functions

  0h07m

• Video class: Were you ever exactly 3 feet tall? The Intermediate Value Theorem

  0h04m

• Video class: Example: When is a Piecewise Function Continuous?

  0h03m

• Exercise: What is the value of 'C' that makes the piecewise function continuous at x=1, given the piecewise function includes 'Cx^2 + 1' for x values less than one, and '2x - C' for x values equal or greater than one?

• Video class: Limits "at" infinity

  0h06m

• Video class: Computing Limits at Infinity for Rational Functions

  0h07m

• Video class: Infinite Limit vs Limits at Infinity of a Composite Function

  0h09m

• Exercise: What does the function f(x) = e^(x-3)/(x-2) tend towards as x approaches 2 from the left?

• Video class: The most important limit in Calculus // Geometric Proof

  0h11m

• Video class: Definition of the Derivative | Part I

  0h06m

• Video class: Applying the Definition of the Derivative to 1/x

  0h05m

• Exercise: Consider the function f(x) = 1/x. What is the derivative f'(x), found by using the definition of the derivative as a limit of the difference quotient?

• Video class: Definition of Derivative Example: f(x) = x 1/(x 1)

  0h06m