MECH102 - Exam II Review Topics

reading assignments covered: PT3, Ch 9, PT4, Ch 13, Ch 14, PT5, Ch 17
(see the syllabus for section details)

  1. linear algebraic equations and matrices
    1. matrix notation
      1. matrix multiplication
      2. matrix inverse
    2. matrix form of linear equations, and solution
    3. Cramer's Rule
      1. matrix determinant
    4. Gauss-Jordan Elimination
    5. solving a set of nonlinear equations with the Newton-Raphson Method
    6. MathCAD methods
  2. optimization
    1. terminology
    2. analytical methods
      1. second derivative test
    3. Golden-Section Search
      1. golden ratio
      2. Fibonacci series
    4. Newton's Method
    5. exhaustive search method
    6. steepest ascent/descent gradient method
      1. gradient vector
      2. optimal step size
      3. graphical interpretation
    7. MathCAD methods
  3. curve fitting
    1. linear regression
      1. residual
      2. least squares solution
    2. standard error
    3. correlation coefficient
    4. fitting nonlinear relationships with linear regression
      1. log manipulations
      2. variable substitution
    5. polynomial regression
    6. MathCAD methods
  4. miscellaneous
    1. reading assignments
    2. homework assignments
    3. other stuff covered in class
    4. difficulties from Exam I