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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
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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.
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)