Practice Convolution Theorem - 13.1 | 13. Convolution Theorem | Mathematics - iii (Differential Calculus) - Vol 1
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13.1 - Convolution Theorem

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of convolution?

💡 Hint: Look for the integral definition.

Question 2

Easy

State one property of convolution.

💡 Hint: Think about the order of functions.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for convolution of two functions?

💡 Hint: Review the definition provided in this section.

Question 2

Is the Convolution theorem commutative?

  • True
  • False

💡 Hint: Think about as addition works.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given \( f(t) = e^{-3t} \) and \( g(t) = t^2 \), find \( (f * g)(t) \).

💡 Hint: Consider using substitution for \\( t - \\tau \\).

Question 2

Calculate the Laplace Transform of the convolution of two functions, where drivers are \( f(t) = u(t) \) and \( g(t) = u(t - 3) \) and verify the Convolution Theorem.

💡 Hint: Remember the properties of the Heaviside unit step function.

Challenge and get performance evaluation