MATH 368 — Introductory Number Theory-Prerequisite MATH 224
Mathematics · University of Ghana
This course builds on the elementary number theory introduced in MATH 224 Topics include: the Fundamental theorem of Arithmetic, Proof and Application: GCD, LCM. Asymptotic notations,Congruences, Residue systems and Euler Phi-function, linear congruence, Chinese Remainder theorem, Theorems of Euler, Fermat and Wilson. Arithmetic functions and Dirichlet multiplication: Mobius, Euler Phi and Mangoldt, Dirichlet‘s product and Mobius inversion formula, averages of arithmetic functions. Quadratic residues and quadratic reciprocity law. Legendre‘s symbol and its properties. The applications of the quadratic reciprocity law, the Jacobi symbol. Prime Number distribution.
- Credits
- 3
- Level
- Level 300
- Semester
- Semester Two
Other courses on this programme
- MATH 350 — Differential Equations I-Prerequisite MATH 223
- MATH 351 — Linear Algebra-Prerequisite MATH 224
- MATH 353 — Analysis I-Prerequisite MATH 223
- MATH 354 — Abstract Algebra I-Prerequisite MATH 224
- MATH 355 — Calculus of Several Variables-Prerequisite MATH 223
- MATH 356 — Analysis II-Prerequisite MATH 223
- MATH 358 — Computational Mathematics I-Prerequisite MATH 220
- MATH 359 — Discrete Mathematics-Prerequisite MATH 224
- MATH 361 — Classical Mechanics -Prerequisite MATH 222
- MATH 362 — Analytical Mechanics- Prerequisite MATH 222
- MATH 363 — Introductory Concepts in Financial Mathematics-Prerequisite
- MATH 366 — Electromagnetic Theory I-Prerequisite MATH 222
Practising MATH 368 with Questora
Upload your own slides, notes and past papers for MATH 368 and Questora builds mock exams, practice questions and a revision plan from them.
Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).