MATH 442 — Integration Theory and Measure –Prerequisite MATH 356
Mathematics · University of Ghana
Algebra of sets, measurable sets and functions, measures and their construction (in particular Lebesgue measure), measure spaces. Integration, convergence theorems for example: Fatou‘s Lemma, Monotone Convergence Theorem, Lebesgue Dominated Convergence Theorem. Lebesgue spaces, elementary inequalities, modes of convergence. Product measures and Fubini‘s theorem. Generalisation of the Riemann (R) integral (eg Kurzweil-Henstock (KH) integral). Lebesgue (L) integral. Relationship between the KH-integrable, L-integrable and R- integrable functions.
- Credits
- 3
- Level
- Level 400
- Semester
- Semester Two
Other courses on this programme
- MATH 440 — Abstract Algebra II-Prerequisite MATH 354
- MATH 441 — Advanced Calculus-Prerequisite MATH 351 or MATH 353
- MATH 443 — Differential Geometry-Prerequisite MATH 355
- MATH 444 — Calculus on Manifolds-Prerequisite MATH 441
- MATH 445 — Introductory Functional Analysis-Prerequisite MATH 356
- MATH 446 — Module Theory-Prerequisite MATH 440
- MATH 447 — Complex Analysis-Prerequisite MATH 223
- MATH 448 — Special Relativity- Prerequisite MATH 362
- MATH 449 — Electromagnetic Theory II-Prerequisite MATH 366
- MATH 450 — Differential Equations II-Prerequisite MATH 350
- MATH 451 — Introduction to Algebraic Field Theory-Prerequisite MATH 354
- MATH 452 — Introduction to Lie Groups and Lie Algebras- Prerequisite MATH 354
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Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).