MATH 322 Number Theory
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MATH 322 Number Theory:
The program employs a footing of the paradigmatic algorithms to underpin the students' understanding regarding the integers, concentrating on their characteristics and manifestations and how that educates the students and wisdom of the mathematical world. The program contributes the students a preface to the crucial fundamental topics the usage of basic algorithms of number theory, including:
- Prime numbers
- Factorization
- Congruence
- Representation of numbers
- Diophantine equations
After the successful completion of the program, students will be able to:
1. Decipher some of the notions of the number theory, a central sector of mathematics, utilizing examples.
2. Correlate the mathematical impressions and beliefs within the context of the number theory.
3. Unravel a spectrum of problems in the number theory.
4. Convey the number-theoretic methods to the mathematical audience.
5. Effectively convey the notions and outcomes of Number Theory.
6. Formulate the mathematical evidence of the declarations and discover the counterexamples to inaccurate statements in the Number Theory.
7. Amass and utilize the numerical data to build the ideas about the integers.
8. Comprehend the reasoning and strategies behind the prominent proofs in the Number Theory.
9. Work efficiently as part of a delegation to unravel the challenging problems in the Number Theory.
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