Free online courseCalculus basics

Conteúdo do Curso

• Video class: Calculus Basics - Introduction | Infinity Learn

  0h02m

• Exercise: Which of the following concepts is NOT a fundamental idea of calculus as mentioned in the introduction?

• Video class: Why Calculus? - Lesson 1 | Infinity Learn NEET

  0h10m

• Exercise: What concept from calculus can help determine the exact speed of an object at any given instant?

• Video class: What is Calculus - Lesson 2 | Limits | Don't Memorise

  0h11m

• Exercise: In the context of Zeno's Dichotomy Paradox, what does Calculus use to solve the paradox where it seems a ball falling to the floor should take an infinite amount of time?

• Video class: What is Calculus - Lesson 3 | Differentiation | Don't Memorise

  0h10m

• Exercise: What can be concluded about the instantaneous speed of the ball at position B based on the concept of limits and average speed?

• Video class: What is Calculus - Lesson 4 | Integration | Don't Memorise

  0h12m

• Exercise: Which Greek mathematician successfully found the area between a parabola and a chord using the method of exhaustion?

• Video class: Calculus - Lesson 5 | What are Functions? | Don't Memorise

  0h11m

• Exercise: Which of the following factors does NOT affect the length of a shadow cast by an object like a plant?

• Video class: Calculus - Lesson 6 | What are Functions? | Don't Memorise

  0h11m

• Exercise: What is the term used for the process of finding the steepness of a tangent line at a point on a curve in calculus?

• Video class: Calculus | Derivatives of a Function - Lesson 7 | Don't Memorise

  0h12m

• Exercise: What is the term used for the measure of the steepness of a straight line in mathematics?

• Video class: Calculus- Lesson 8 | Derivative of a Function | Don't Memorise

  0h08m

• Exercise: What is the derivative of the function f(x) = x^2 at any given point x1?

• Video class: Calculus - Lesson 9 | When does the Derivative Not Exist? | Don't Memorise

  0h08m

• Exercise: When investigating the rate of change of a function at a point where the graph has a sharp corner, such as at 'X equals to zero' for a given function, what can we say about the existence of the derivative at that point?

• Video class: Calculus - Lesson 10 | When does the Derivative Not Exist? | Don't Memorise

  0h11m

• Exercise: What is the slope of a vertical line?

• Video class: Calculus - Lesson 11 | Derivative as a Function | Don't Memorise

  0h11m

• Exercise: Which statement is true about higher-order derivatives of a function?

• Video class: Calculus - Lesson 12 | Addition as Integration | Don't Memorise

  0h08m

• Exercise: Which process is used to find the total amount of a continuously changing quantity by interpreting it as the area under the graph of a function?

• Video class: Calculus - Lesson 13 | Integral of a Function | Don't Memorise

  0h07m

• Exercise: In the context of computing the area under a graph using integration, what is the result of letting the number of subintervals 'n' tend to infinity?

• Video class: Calculus - Lesson 14 | Integral of a Function | Don't Memorise

  0h07m

• Exercise: What is the limit of the sum of the areas of rectangles referred to as in the process of integration?

• Video class: Calculus - Lesson 15 | Relation between Differentiation and Integration | Don't Memorise

  0h08m

• Exercise: What is the result when applying the Fundamental Theorem of Calculus to the integral of a function 'f' from 'a' to 'b'?

• Video class: Calculus - Lesson 16 | Indefinite and Definite Integrals | Don't Memorise

  0h08m

• Exercise: What is the indefinite integral of the function H(x) = x^2 + 6?