Introduction to Computer Sciences 310 Problem solving using computers

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Introduction to Computer Sciences 310 Problem
solving using computers
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Goal of Computer Sciences 310

• CS 310 should provide you with a proficiency in
  using methods and computer tools that will allow
  you to solve a broad range of challenging
  engineering problems.

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Some definitions of Engineering

• engi neer inga science by which the
  properties of matter and the sources of energy in
  nature are made useful to man.
• Websters Seventh New College Dictionary, 1967

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A more PC definition

• The profession in which a knowledge of the
  mathematical and natural sciences, gained by
  study, experience and practice, is applied with
  judgment to develop ways to utilize, economically
  and with concern for the environment and society,
  the materials and forces of nature for the
  benefit of mankind.
• Engineering Fundamentals of Problem Solving, 1983

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Some additional key concepts

• Throughout history engineers have sought to apply
  the knowledge of science and technology to meet
  the needs of societyEngineers are innovators and
  problem solvers
• Principles of Engineering, 1982

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An engineering problem

• Mary can mow her familys lawn in 2 hours. It
  takes Jack, her brother, 3 hours to mow the same
  lawn. If Mary and Jack each have a lawnmower, and
  start at the same time, how long will it take
  Mary and Jack to mow the lawn together? You have
  3 minutes to get an acceptable answer.

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Engineering made simple
Make stuff
Make stuff work
Solve problems
Empirical
Analytical
Intuitive
Computing
Experience
Math Science
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Computing tools

• Fingers and toes
• Paper and pencil (and eraser)
• Calculator
• Personal computer software (Used in CS 310)
• Excel (spreadsheet)
• Maple (symbolic computation)
• Matlab (numerical computation)
• High performance computer analysis codes
• ANSYS
• Mentor Graphics
• ProEngineer

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Methods of Engineering Analysis

• Root finding (non-linear equations)
• Integration
• Data fitting and interpolation
• Large static systems (linear equations)
• Dynamic systems (1st order O.D.E.s)
• Natural frequencies (eigenvalues)
• Symbolic computation

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Common principles of engineering science

• Conservation and balance
• Mass, momentum, and energy
• Force balance,
• Stability and controls
• Mechanical, chemical, electrical, .
• Replication
• Manufacturing,