| CODE | MAT1211 | ||||||||
| TITLE | Analysis 1 | ||||||||
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 5 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - The real number line: - Open and closed sets, - Compact sets; - Sequences of real numbers: - Convergence, - Basic theorems on limits of sequences, - Lim sup and lim inf, - The Bolzano-Weierstrass theorem, - The Cauchy convergence criterion; - Sequences in Rn : - The norm of a vector, - Convergence; - Series in R : - Conditional and absolute convergence, - Tests for convergence. Suggested reading: - Spivak M,, Calculus, Publish or Perish, 3rd Edition, 1994 - Abbott S., Understanding Analysis, Springer, 2001 - Bartle R. and Sherbert D., Introduction to Real Analysis, Wiley, 3rd Ed., 1999 - Apostol T., Mathematical Analysis, Addison-Wesley, 2nd Edition, 1974 |
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| ADDITIONAL NOTES | Follows from: MAT1100 Leads to: MAT2212 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Beatriz Zamora-Aviles |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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