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Step-by-Step Instructions

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Module #1 Calculus&Mathematica for Mathematics Teachers
For Mathematica beginners, it is likely that it will require 30-40 hours to complete this module.
After you have completed and submitted your on-line registration form, you will be directed to download the necessary files for this module. After you have downloaded the appropriate module files folder for your operating system (PC or Macintosh) and your Mathematica version (3.0 or 4.0), you are ready to begin. Proceed as follows:

STEP #1
The lessons that you are required to review are in the Sample Lessons folder in the download folder. Review the three lessons listed below and do the problems that are listed as Teacher Homework. These problems are a subset of the student homework listed for each lesson. As you finish each lesson, review the corresponding comments in the Highlights file in the download folder. Share your views with us by adding them to the Highlights file.
We would suggest that you read the Basics and Tutorials sections of each lesson actively (that is, try some variations on the given examples) and then skim the student homework for that lesson. Then start the Teacher Homework problems and refer back to the Basics and Tutorials as needed. We have purposely assigned only two or three problems from each lesson so that you will have time to write detailed solutions (including explanations of procedures and results) to these problems. That is what we expect (and usually get) the C&M students to do and we would you to have a taste of that too!

Lesson 0: Feel of Mathematica
This one is optional. It serves as an introduction to Mathematica for the students in the course. If you are already using Mathematica, you probably won't find anything new here. It may be interesting to skim the lesson anyway just to see how C&M students are being introduced to the use of Mathematica.

Pre-Assignment: Open the file called preassign.nb and follow the instructions within. Submit the assignment to the Module Working Environment under the Homework button using your MTL login and password.

Lesson 1.01 Growth;
Student Homework Assignment: G.1; G.2; G.4. a); G.5; G.6. b), c); G.8. a), d).
Teacher Homework: Do G.2 and G.8 and copy your solution to these two problems in the Assignment 1.1 notebook in the Module download folder.

Lesson 1.05 Tools;
Student Homework Assignment: G.1 a), d); G.2 c); G.3; G.4;
G.5.a) ,b); G.6; G.7; G.9 a) ,d).
Teacher Homework: Do G.1 a), d) and G.7 and copy your solution to these two problems in the Assignment 1.1 notebook in the C&M Module download folder.
If you are enrolled for graduate or continuing education credit, submit Assignment 1.1 through the Module Working Environment under the Homework button using your MTL login and password before you go on to Step 2.

STEP #2
Review the four lessons listed below and do the problems that are listed as Teacher Homework. As you finish each lesson, review the corresponding comments in the Highlights file. Share your views with us by adding them to the Highlights file.
Lesson 1.06: Differential Equations
Student Homework Assignment: G.1.a), b), d), e); G.2. b); G.3; G.4;
G.5 a), c), d); G.6.b); G.8
Teacher Homework: Do G.2 b) and G.3 and copy your solution to these problems in the Assignment 1.2 notebook in the C&M Module download folder.

Lesson 1.09 Parametric Plots

Student Homework Assignment: G.1; G.2; G.3; G.4; G.5; G.6; G.11
Teacher Homework: Do G.3, G.6 and G.11 and copy your solution to these problems in the Assignment 1.2 notebook in the C&M Module download folder.

Lesson 2.01: Measuring Area

Student Homework Assignment: G.1; G.2 a), b), d); G.3; G.4 a), b), c), e);
G.5; G.6; G.8 a); G.9.
Teacher Homework: Do G.4 a), b), d); G.6 and G.8 and copy your solution to (all parts of ) these problems in the Assignment 1.2 notebook in the C&M Module download folder.

Lesson 2.03: Measurements
Homework Assignment: G.1 a); G.3; G.5; G.7
Teacher Homework: Do G.1 a); G.3; and G.5 and copy your solution to these problems in the Assignment 1.2 notebook in the C&M Module download folder.
If you are enrolled for graduate or continuing education credit, submit Assignment 1.2 through the Module Working Environment under the Homework button using your MTL login and password before you go on to Step 3.

Step #3
Review the contents of the Sample Student Homework (SampleHW) folder and comment on the sample homework and its grading in the Highlights notebook in the C&M Module download folder.
This folder contains sample homeworks from former C&M students, most very good and some just OK. Reviewing these files should help you to get a feel for the work that the better C&M students do. You will also see how the homework was graded by their undergraduate C&M mentors. We have removed all student and mentor names from the samples to respect the privacy of the individuals involved. Again, we invite you to comment on the homework and its grading in the highlght.nb file.
If you are enrolled for graduate or continuing education credit, submit Assignment 1.3 through the Module Working Environment under the Homework button using your MTL login and password before you go on to Step 4.

Step #4
Grade a homework assignment from one of our current C&M students.
Please e-mail us at candm@mtl.math.uiuc.edu when you are ready to do this. We will select a current homework file and send it to you as an e-mail attachment. You should grade the homework and insert comments to the student as you see fit.
If you are enrolled for graduate or continuing education credit, submit the graded student homework file through the Module Hand-In System using your MTL login and password.

You have just completed the module. Congratulations! Those of you enrolled for continuing education credit will be sent feedback on the three assignments that you were required to submit.

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