Real Analysis I
AY2023/2024 Semester 2
Basic properties of real numbers, supremum and infimum, completeness axiom, open and closed sets, compact sets, countable sets. Limits and convergence of sequences, subsequences, Bolzano-Weierstrass theorem, Cauchy sequences, infinite series, double summations, products of infinite series. Limits of functions, continuity, uniform continuity, intermediate value theorem, extreme-value theorem. Differentiability, derivatives, intermediate value property, Cauchy mean value theorem, Taylor's theorem, Lagrange's form of the remainder. Sequence and series of functions, uniform convergence and differentiation. Power series, radius of convergence, local uniform convergence of power series.
| AUs | 4.0 AUs |
| Categories | CoreMinorsBDE |
| Mutually Exclusive With | MH310S |
| Exam |
Available Indexes
| Mon | Tue | Wed | Thu | Fri | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1030 | COMMON LEC (LE) 1030-1220 Wed ONLINE, LT25 Wk5, Teaching Wk1-4,6-13 | COMMON LEC (LE) 1030-1220 Wed ONLINE, LT25 Wk5, Teaching Wk1-4,6-13 | ||||||||
| 1100 | ||||||||||
| 1130 | ||||||||||
| 1200 | ||||||||||
| 1230 | ||||||||||
| 1300 | ||||||||||
| 1330 | 70581 TUT (T1) 1330-1420 Fri SPMS-TR+14, ONLINE Wk2-4,6-13, Teaching Wk5 | 70581 TUT (T1) 1330-1420 Fri SPMS-TR+14, ONLINE Wk2-4,6-13, Teaching Wk5 | 70582 TUT (T2) 1330-1420 Fri SPMS-TR+16, ONLINE Wk2-4,6-13, Teaching Wk5 | 70582 TUT (T2) 1330-1420 Fri SPMS-TR+16, ONLINE Wk2-4,6-13, Teaching Wk5 | ||||||
| 1400 | ||||||||||
| 1430 | COMMON LEC (LE) 1430-1520 Thu LT22, ONLINE Wk1-4,6-13, Teaching Wk5 | COMMON LEC (LE) 1430-1520 Thu LT22, ONLINE Wk1-4,6-13, Teaching Wk5 | 70583 TUT (T3) 1430-1520 Fri SPMS-TR+15, ONLINE Wk2-4,6-13, Teaching Wk5 | 70583 TUT (T3) 1430-1520 Fri SPMS-TR+15, ONLINE Wk2-4,6-13, Teaching Wk5 | 70584 TUT (T4) 1430-1520 Fri SPMS-TR+16, ONLINE Wk2-4,6-13, Teaching Wk5 | 70584 TUT (T4) 1430-1520 Fri SPMS-TR+16, ONLINE Wk2-4,6-13, Teaching Wk5 | ||||
| 1500 | ||||||||||
| 1530 | 70585 TUT (T5) 1530-1620 Fri SPMS-TR+12, ONLINE Wk2-4,6-13, Teaching Wk5 | 70585 TUT (T5) 1530-1620 Fri SPMS-TR+12, ONLINE Wk2-4,6-13, Teaching Wk5 | 70586 TUT (T6) 1530-1620 Fri SPMS-TR+13, ONLINE Wk2-4,6-13, Teaching Wk5 | 70586 TUT (T6) 1530-1620 Fri SPMS-TR+13, ONLINE Wk2-4,6-13, Teaching Wk5 | ||||||
| 1600 | ||||||||||
| 1630 | 70587 TUT (T7) 1630-1720 Fri SPMS-TR+12, ONLINE Wk2-4,6-13, Teaching Wk5 | 70587 TUT (T7) 1630-1720 Fri SPMS-TR+12, ONLINE Wk2-4,6-13, Teaching Wk5 | ||||||||
| 1700 | ||||||||||