Practice Introduction To Numerical Methods (1.1) - Introduction to Numerical Methods

Practice: Introduction to Numerical Methods

Lesson 1.1Introduction to Numerical Methods

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9 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define absolute error in your own words.
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Think about what it means to be exact.
Question 2.
How is relative error calculated?
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Use the formula: Relative Error = |x_exact - x_approx| / |x_exact|.
3Question 3.
What is absolute error?
- A) The difference between two approximate values.
- B) The difference between the exact value and the approximate value.
- C) The percentage of error compared to the exact value.
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Remember the definition you learned in class.
4Question 4.
Is the following statement true or false? 'Stability in numerical algorithms means that errors will not grow during calculations.'
- True
- False
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Think about what stability means in an everyday context.
Question 5.
Given the equation x = 1/(1-x), analyze how small changes in x affect the output when x approaches 1. Discuss whether the function is well or ill-conditioned.
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Use the concept of derivatives to help understand the sensitivity.
Question 6.
Describe a scenario in engineering where numerical stability is critical. What can happen if an unstable algorithm is used?
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Consider systems where safety is a priority.

5 more questions in this section. Enroll free to practise them all.