Homework 2(due Tuesday September 10) Quiz 2 Thursday September 12. Main Topics: Numerical algorithms and errors. Chapters 1 and 2 in textbook. Main Objectives: Classify the type of errors that occur in numerical algorithms. Discuss round off errors. Main Tools: Basic calculus and numbers representation. Chapter 1 Questions 1.Review questions a)Give an example where relative error is a more suitable measure than absolute error, and another example where the absolute error measure is more suitable. b)State a major difference between the nature of roundoff errors and discretization errors. c)Explain the differences between accuracy, efficiency, and robustness as criteria for evaluating an algorithm. d)Distinguish between problem conditioning and algorithm stability. e)Explain briefly why accumulation of roundoff errors is inevitable when arithmetic operations are performed in a floating point system. Under which circumstances is it tolerable in numerical computations?