Math 4080

Expectations

Spring 2010

Jay Treiman

In this class it is expected that students will do the following:

  1. Spend adequate time outside class on Math 4080. You should expect to spend at least 2-3 hours outside class for each 50 minutes in class. Often more than 3 hours is required to learn the material.
  2. Read all assigned sections in the text and do all other assigned material.
  3. Attempt all assigned homework problems.
  4. Know what happens in class every day.
  5. Ask and answer questions in class.
  6. When group work is required, work as a member of the team.
  7. Read all comments on corrected papers.
  8. Use pencil on all quizes and tests

By the end of the class students should be able to do the following:

  1. Create a basic linear programmming model .
    1. Given a known model type.
    2. In a new but simple situation.
  2. Know how to formulate a linear programming problem
    1. Constraint types
    2. Adding slack variables
    3. Standard formats
    4. Maxima of linear functions
  3. Dual problems
    1. Formulation
    2. Meaning
  4. Geometry of linear programming problems
    1. Convexity
    2. Polyhedra
    3. Geometry of optimality
  5. Optimality conditions for an LP
  6. Know the simplex algorithm
    1. One step simplex
    2. Two step simplex
    3. How to avoid cycling
  7. Be able to apply the simplex algorithm
    1. Definition
    2. Geometry
  8. Applications of LP
    1. Diet problem
    2. Loading problem
    3. Assignment problems
    4. Regression
    5. Transportation problems
  9. Maple
    1. Ability to use Maple for simple computations
    2. Plot functions
      1. Graphs of vector valued functions
      2. Graphs of functions on R^2
      3. Level sets and surfaces
    3. Basic linear algebra operations
    4. Derivatives with Maple
    5. Integrals
    6. Multiple integrals
    7. Parametrized surfaces
    8. Electronic submission of worksheets through WebCT
  10. Clearly write out assignments
    1. Use a logical equation layout
    2. Give clear explanations
    3. Use an acceptable layout for problems
    4. Use clear logic
  11. Work independently and with others in the class
  12. Work problems at the following levels
    1. Duplicates of technique problems with numbers or formulas changed
    2. Technique problems with slight twists in the technique
    3. Applications of techniques learned in this class to single step application problems
    4. Applications of the material from this class to multistep problems
  13. Give constructive feedback on class and class materials.

Expectations of the instructor:

  1. Make expectations clear.
  2. Give and use a reasonable grading policy.
  3. Get exams, quizzes, and homework back in a reasonable time.
  4. Be available to help students.
  5. Allow student feedback, assessment, on the class throughout the semester.
  6. Set a level of expectation that is adequate to prepare students for future classes. This needs to be attainable for students who are prepared for Math 4080.
  7. Give students direction on what material must be learned.