Before each class you are expected to do three hours of preparation, including both the written assignments and the reading assignments listed here. The assignment is in preparation for the class whose date is listed.
You may wish to print activities and other documents using "two-sheets-per page" and/or two-sided printing, if you are printing in the clusters.
Read section 4.7 on optima of convex functions (note especially Theorems 4.7.6 and 4.7.7)
Print, read, and bring to class Activity 22
Read section 4.6 (We are skipping 4.5) on convex and concave functions (we'll apply the ideas in section 4.7)
Print, read, and bring to class Activity 21
Read sections 4.1-4.4 in Strategic Mathematics. All of sections 4.1 - 4.3 [except possibly theorem 4.3.1 - which extends the second-derivative test] is review of material [optimization of differentiable functions of one variable] from previous courses. Section 4.4 introduces ideas & tools we will need for the rest of the semester (work on non-linear optimization.)
Print, read, and bring to class Activity 20
Remember that the second part of the project is due 11/20
Prpeare for Test 2
Review for Test 2 - the List of topics is now available
Print and read (and bring to class) the Sample Test
Read Section 3.7 in Strategic Mathematics on shadow prices and penalty costs
Print, read, and bring to class Activity 19
Read Section 3.6 in Strategic Mathematics on duality
Print, read, and bring to class Activity 18
Read Section 3.5 in Strategic Mathematics on postoptimality analysis [specifically sensitivity analysis]. I have typed up a one-page summarywith only essential details
Print, read, and bring to class Activity 17
Read Appendix A in Strategic Mathematics on using the simplex program. I have typed up a sheet with particulars about connecting to jade, creating & saving data files, reading & saving output
Print, read, and bring to class Activity 16
Read Section 3.4 in Strategic Mathematics on Artificial variables, which are used to find an inital Basic Feasible solution in problems when the tableau does not contain an identity matrix.
Print, read, and bring to class Activity 15
Re-read Section 3.3 in Strategic Mathematics this time with particular attention to the various parts of the tableau and the proof of the Optimality test (Theorem 3.3.7 - proof this really works)[pages 106-109]. I have typed up some notes on simplex tableau parts (one page) which you may find helpful
Print, read, and bring to class Activity 14
Read Section 3.3 in Strategic Mathematics with particular attention to the implementation of the simplex algorithm and the naming of the various vectors and matrices involved in the discussion [We'll need them for our discussion of why it works - next Tuesday]
Print, read, and bring to class Activity 13
Read Section 3.2 (from p. 97 through the end - the description of a search through the basic feasible solutions) in Strategic Mathematics noting two matters particularly:
1. The determination of the "entering variable" as we move from a basic feasible solution to an adjacent better basic feasible solution
2. The algebraic merhods used to determine the "departing variable" [We don't get to choose this - it's forced by the choice of entering variable]; in particular the calculations for the minimum ratio rulePrint and read (and bring to class) Activity 12. Be sure thatyou read through the models before class - there isn't time for the activity if your first reading is in class.
Remember that the miniproject is due 10/9
Prepare for Test 1
Review for Test 1 - the List of topics is now available
Print and read (and bring to class) Activity 11 and the Sample Test
Read Section 3.2 through Example 3.2.6 [2/3 of way through p.97] in Strategic Mathematics noting two matters particularly:
1. The correspondence between extreme points in the feasible region and extreme points in the extended feasible region [of the expanded-dimension problem with slack/surplus variables added].
2. The algebraic method for listing and testing extreme points [esp. concepts of basis matrix, basic variables, basic solution, basic feasible solution] using the augmented matrix of the standard-form problem.Print and read (and bring to class) Activity 10. Be sure that before class you read through the model and Step through the completed portion of the Maple worksheet Activity10.mw [but don't continue the calculations]
Remember that the draft of the miniproject is due 9/25
Read Chapter 3 throughSection 3.1 The big ideas: 1. The Extreme Point Theorem (3.1.1) - Focuses our search for the minimum point (point giving minimum value for the objective function), based on the Finite Basis Theorem.
2. The visual representation of our problem and the theorem for the two-variable case.Print and read Activity 9 [Be sure to read through both models before class - there isn't really time for the first reading to be in class. Notice how the direction vectors are used when they exist.] and bring it to class
Read Section 2.2 from 2.2.6 to the end - the big deal is the finite basis theorem (2.2.17) you need the language developed in section 2.2 to understand it
Print and read Activity 8 and run through (at least once before class) the Maple worksheet Activity8.mw (which is on the Public server) [The activity says "do this in class" - I will talk through it on Thursday,but you should run through it before that) - in class you'll answer the Critical Thinking questions.
Read Sections 2.1 and 2.2 in the text (through 2.2.6)
Print and read Activity 7 and bring it to class
Re-read Section 1.2 and Read Section 1.3 in the text [we will look at examples of setting up problems and of standard form]
Print and readActivity 6 and bring it to class
Read Sections 1.1 and 1.2 of Chapter 1 in the text
Print and read Activity 4a and Activity 5 and bring to class
Prepare to discuss the grading scale (see Activity 4B) in class
Prepare for Base Concepts Test on 9/4
1. Re-read Chapter 0 in Strategic Mathematics
2. Print and read Activity 4 and the sample Base Concepts test in preparation for class
3.Write journal entry for 8/28 [I will request journals from the Reflectors from 8/26-8/28]
5.Prepare for Base Concepts Test on 9/4
1. Read Chapter 0 in Strategic Mathematics
2. Print and read Activity 2 and Activity 3 in preparation for class
3.Begin working on the problems in Chapter 0 (to hand in on Tuesday 9/2)
4.Write journal entry for 8/26
5.Prepare for Base Concepts Test on 9/4
Go to the Blackboard site and
1. Print and read through the course syllabus (easiest if you use the MS Word format version) (in the Course Information area)
2. Print out Activity 1 and Activity 1B from the Course Documents area
3. Skim [do not print] the information under "learning" at http://www.pcrest.com/PC/PE/index.html [click on "learning" in the fourth line of the index diagram] - Note the four domains of learning and the types of learning in each.
4. Fill in (on your printed copy) the "Establishing Personal Goals" form included with Activity 1.
Bring the documents to class on Tuesday