HW1.pdf - Homework 1 Due Tuesday August 31st Main Topics...

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Homework 1 Due Tuesday August 31 st Main Topics : Numerical algorithms and errors. Chapters 1 in textbook. Main Objectives : Classify the type of errors that occur in numerical algorithms. Main Tools: Basic calculus Quiz: Tuesday August 31 st Lecture 1. (Monday August 23) Sections 1.1- 1.2 Objective: A Brief Introduction to Scientific computing Topics: Numerical Algorithms and errors -Relative and absolute errors -Error types: 1. Errors in the problem to be solved 2. Approximation errors (Discretization errors, Convergence errors) 3. Roundoff errors Lecture 2. (Wednesday August 25) Sections 1.1- 1.2 Objective: A Brief Introduction to Numerical algorithms and errors Topics: Absolute vs relative errors. Stirling approximation numerical example Discretization error. Numerical example of the approximation of the derivative of ?(?) = 𝑠𝑖𝑛 ? . Big -0 Notation The effect of the roundoff errors Algorithm properties. Criteria for assessing an algorithm -Accuracy -Efficiency -Robustness Lecture 3. (Friday August 27) Sections 1.3 Objective: A

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