HOMEWORK AND SCHEDULE PAGE

• Syllabus
• Homework Policy
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• Symbol File
• Dihedral Java Applet for Topic 3.1 Homework

• Final Project Directions
• Final Project Cover Sheets
• Due dates listed on course homework page

EXAM NOTES

KNOW all of the properties explored / discussed / written up in Topic 1 and Topic 2: Class worksheets and homework.

• For properties that hold you should be able to:
• Give the complete symbolic property of statement
• Briefly explain what the property or statement means
• For properties that do not hold you should be able to:
• Give an appropriate counterexample
• Briefly explain what the problem is

Bring your organized course notebook to class for Dr. Burton to check. All class topic worksheets previously worked on during class time will be checked over for completion.

EXAM NOTES

• You should know and be able to work with the elements of D₃ and D₄.
• For properties and ideas that hold you should be able to:
• Give a short but complete proof of why the statement is true or the property holds.
• In particular, you should know the four group properties and be able to check the four group properties given any set and any operation (that we have studied).
• For properties and ideas that do not hold you should be able to:
• Give a short but complete explanation of why the statement is false or the property does not hold.

Bring your organized course notebook to class for Dr. Burton to check. All class topic worksheets previously worked on during class time will be checked over for completion.

EXAM NOTES

KNOW all of the properties and ideas explored / discussed / written up in Topic 4: Class worksheets and homework.

n = 1, 2, 3, ...

• You should be able to show that (Zn, +n) is a group.
• You should be able to show that <a> is a subgroup of (Zn, +n).You must be able to explain why for each detail. You should know the formula for the order of a subgroup <a> in (Zn, +n).
• You should be able to find and list the elements of subgroups of (Zn, +n).
• You should be able to explain what to do to Zn to get a multiplicative group, what problems there could be, how to fix them and why your idea creates a group.

Bring your organized course notebook to class for Dr. Burton to check. All class topic worksheets previously worked on during class time will be checked over for completion.

Know the coding methods explore in Topic 6, in particular you should be able to encode and decode using:

• Shift Ciphers (you will not have to break the shift)
• Direct Numerical Substitution
• The Polybius Checkerboard (checkerboard provided)
• The Railfence Cipher (number of rails not provided)
• Columnar Transposition

Bring your organized course notebook to class for Dr. Burton to check. All class topic worksheets previously worked on during class time will be checked over for completion.