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Teaching Assistants. Mr. TBA (Section 501 and computer lab)Office: RoomPhone: Email: Office Hour:. Lab Hours: Mon
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1. CVEN302-501 Computer Applications in
Engineering and Construction
2. Teaching Assistants
3. Course Objectives To develop the ability to solve engineering problems numerically
To evaluate numerical solution methods (knowing the advantages and limitations of numerical methods)
To design, implement, and test computer programs
To improve the skills of writing MATLAB codes
4. 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.
5. Objective: “Design” Writing the solutions as a series of steps a computer can execute? flow chart and pseudo-code
6. 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
7. Objective: “Evaluation” Critical evaluation of the solution the program gives for the actual engineering problem.
This requires all your engineering and computer skills
8. Objective: “Presentation” Communication of the results of a computer program to the people who need to know the answer
Clients
Bosses
Regulators
Contractors
9. Chapter 1 Mathematical Modeling and Engineering Problem Solving
10. Engineering Problems Empirical
observation and experiment
certain aspects of empirical studies occur repeatedly
such general behavior can be expressed as fundamental laws that essentially embody the cumulative wisdom of past experience
Theoretical / Numerical
formulation of fundamental laws
Algebraic
ODE
PDE
11. Mathematical Models Modeling is the development of a mathematical representation of a physical/biological/chemical/ economic/etc. system
Putting our understanding of a system into math
Problem Solving Tools:
Analytic solutions, statistics, numerical methods, graphics, etc.
Numerical methods are one means by which mathematical models are solved
12. Mathematical ModelingThe process of solving an engineering or physical problem.
15. Bungee Jumper / Falling Parachutist
17. Exact (Analytic) Solution
19. Numerical (Approximate) Solution
20. Example 1.2 Hand Calculations
21. Euler’s Method
22. Example: Bungee Jumper