lecture 1 - MAE 107 Computational Methods in Engineering...

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MAE 107: Computational Methods in Engineering Summer Session I, 2010 1. Class Information Instructor: Prof. E.A. Olevsky Class Hours: TuTh 11am 1:50pm, PCYNH 122 Office/Discussion Sessions: TuTh 2-3pm EBU-II 105 Contact: 619-594-6329, [email protected] or [email protected] Textbook: S.C. Chapra, R.P Canale, Numerical Methods for Engineers, 6th Ed., McGraw Hill, ISBN: 0073401064 2. Grading Homework 20% Grade Scale: A 85-100 Midterm Test 30% B 75-84.9 Final Exam 50% C 65-74.9 D 55-64.9 F 0-54.9
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MAE107 Course Goals “To develop efficient , computer-based solutions to engineering problems Engineering problems - usually stated in mathematical terms derived from the conservation laws
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Goal: “Computer - based” Computers allow for application to large, complex systems and help us avoid tedious calculations. Computer programs provide a set of tools for tackling similar problems Goal: “Efficient” Use the appropriate numerical method to get fast, accurate solutions to stated problems
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Course Objectives To learn effective problem-solving techniques To critically evaluate numerical solution methods To design , implement , and test computer programs To evaluate and present numerical results
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Objective: “Problem - solving” Process of coming up with a solution . Requires critical thinking skills Analysis and synthesis skills Computer programming is a good forum to develop problem solving methodology.
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Objective: “Numerical methods” Numerical methods give solutions to math problems written as algebraic statements that computers can execute We will learn to formulate the solutions and evaluate their applicability and performance.
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Objective: “Design” Writing the solutions as a series of steps a computer can execute flow chart and pseudo-code Objective: “Implementation” Converting the pseudo-code solution into a computer program.
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Objective: “Testing” Checking that the computer program actually solves the equations you mean to solve Evaluating the success of the numerical solution chosen Numerical accuracy, stability, and efficiency
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Objective: “Evaluation” Critical evaluation of the solution the program gives for the actual engineering problem. This requires all your engineering and computer skills
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Objective: “Presentation” Communication of the results of a computer program to the people who need to know the answer Clients Bosses Regulators Contractors
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Part One Modeling, Computers, and Error Analysis
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COURSE TOPICS Numerical methods are techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations types of mathematical subject areas covered 1.Roots of equations 2.Systems of Linear Algebraic Equations 3.Optimization 4.Curve Fitting 5.Integration 6.Ordinary Differential Equations 7.Partial Differential Equations
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Fig PT1.2 cont.
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PART ONE MODELING, COMPUTERS, AND ERROR ANALYSIS Study Objectives: Upon completing Part One, you should be adequately prepared to embark on your studies of numerical methods.
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