Preparing for the Final Exam in Number Theory (MTH 4436) - Spring 2012, Exams of Number Theory

The content of the final exam for the number theory course (mth 4436) offered in spring 2012. It includes a breakdown of the exam sections, key definitions and theorems to be studied, and problems to be solved. For parts #1 and #2, students are advised to refer to the study materials for tests #1 and #2, respectively.

Typology: Exams

2012/2013

Uploaded on 02/18/2013

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What to Study for The Final Exam
MTH 4436 – Number Theory
Spring 2012
The Final Exam covers:
Sections 1.1 – 2.3 (Part #1)
Sections 2.4 – 4.3 (Part #2)
Sections 4.4 – 5.3 (Part #3)
For Parts #1 & 2, see What to Study for Test #1 and What to Study for Test #2 on the website.
Part #3
Definitions and Theorems That You May Be Asked to State:
Theorem 4.7 & Corollary
Chinese Remainder Theorem
Theorem 4.9
Fermat’s Theorem & Corollary
Lemma p. 89
Wilson’s Theorem
Theorem 5.5
Any Theorem or Lemma that has a name, you should KNOW by name. The other theorems,
lemmas, and corollaries you should know so that you can give their statement when asked
something like: “state three theorems, lemmas, corollaries, etc. involving congruences.”
Know How to Do:
All homework problems assigned in sections 4.4 – 5.3 (inclusive)

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What to Study for The Final Exam

MTH 4436 – Number Theory

Spring 2012

The Final Exam covers: Sections 1.1 – 2.3 (Part #1) Sections 2.4 – 4.3 (Part #2) Sections 4.4 – 5.3 (Part #3) For Parts #1 & 2, see What to Study for Test #1 and What to Study for Test #2 on the website.

Part

Definitions and Theorems That You May Be Asked to State: Theorem 4.7 & CorollaryChinese Remainder Theorem Theorem 4. Fermat’s Theorem & Corollary Lemma p. 89 Wilson’s TheoremTheorem 5.

Any Theorem or Lemma that has a name, you should KNOW by name. The other theorems, lemmas, and corollaries you should know so that you can give their statement when askedsomething like: “state three theorems, lemmas, corollaries, etc. involving congruences.”

Know How to Do: All homework problems assigned in sections 4.4 – 5.3 (inclusive)