Real Analysis I
AY2025/2026 Semester 1
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 | 70801 TUT (T1) 1030-1120 Fri SPMS-TR+4, ONLINE Wk2-9,11-13, Teaching Wk10 | 70801 TUT (T1) 1030-1120 Fri SPMS-TR+4, ONLINE Wk2-9,11-13, Teaching Wk10 | 70802 TUT (T2) 1030-1120 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | 70802 TUT (T2) 1030-1120 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | ||||||
| 1100 | ||||||||||
| 1130 | 70803 TUT (T3) 1130-1220 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | 70803 TUT (T3) 1130-1220 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | 70804 TUT (T4) 1130-1220 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | 70804 TUT (T4) 1130-1220 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | ||||||
| 1200 | ||||||||||
| 1230 | ||||||||||
| 1300 | ||||||||||
| 1330 | 70805 TUT (T5) 1330-1420 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | 70805 TUT (T5) 1330-1420 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | 70806 TUT (T6) 1330-1420 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | 70806 TUT (T6) 1330-1420 Fri ONLINE, SPMS-TR+13 Wk10, Teaching Wk2-9,11-13 | ||||||
| 1400 | ||||||||||
| 1430 | COMMON LEC (LE) 1430-1620 Thu LT19A, ONLINE Wk1-9,11-13, Teaching Wk10 | COMMON LEC (LE) 1430-1620 Thu LT19A, ONLINE Wk1-9,11-13, Teaching Wk10 | 70807 TUT (T7) 1430-1520 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | 70807 TUT (T7) 1430-1520 Fri ONLINE, SPMS-TR+4 Wk10, Teaching Wk2-9,11-13 | ||||||
| 1500 | ||||||||||
| 1530 | COMMON LEC (LE) 1530-1620 Wed ONLINE, LT19A Wk10, Teaching Wk1-9,11-13 | COMMON LEC (LE) 1530-1620 Wed ONLINE, LT19A Wk10, Teaching Wk1-9,11-13 | 70809 TUT (T9) 1530-1620 Fri ONLINE, SPMS-TR+15 Wk10, Teaching Wk2-9,11-13 | 70809 TUT (T9) 1530-1620 Fri ONLINE, SPMS-TR+15 Wk10, Teaching Wk2-9,11-13 | ||||||
| 1600 | ||||||||||