Practice Advantages and Disadvantages - 8.1.6 | 8. Picard’s Method | Mathematics - iii (Differential Calculus) - Vol 4
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games

8.1.6 - Advantages and Disadvantages

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

List two advantages of Picard's Iteration Method.

💡 Hint: Think about what makes learning easy.

Question 2

Easy

What is a disadvantage of Picard's method?

💡 Hint: How does it perform with complex equations?

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 a primary advantage of Picard’s Iteration Method?

  • It is complex
  • It is conceptually intuitive
  • It is rarely used

💡 Hint: Think of what makes a method user-friendly.

Question 2

True or False: Picard’s method is widely used for computations due to its fast convergence.

  • True
  • False

💡 Hint: Recall the method's convergence speed.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a scenario where Picard's Method would not be the best choice for solving a differential equation. Explain why.

💡 Hint: Think about methods that better handle steep changes.

Question 2

Given the integral form of an ODE, outline how you would begin applying Picard's method and indicate potential issues.

💡 Hint: Reflect on what initial estimates you’d use and how they may evolve.

Challenge and get performance evaluation