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MH3100 REAL ANALYSIS I

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.

Academic Units4
Exam ScheduleMon Apr 28 2025 00:00:00 GMT+0000 (Coordinated Universal Time) 13:00-15:00
Grade TypeLetter Graded
Department MaintainingMATH(SPS)
Prerequisites

MH1100 & MH1101 OR CY1601 OR MH1802

Mutually Exclusive

MH310S

Prerequisites Tree

MH3100requiresone ofMH1802CY1601all ofMH1101MH1100

Indexes

IndexTypeGroupDayTimeVenueRemark
-LEC/STUDIOLEWED1030-1220ONLINETeaching Wk3
LEC/STUDIOLEWED1030-1220LT25Teaching Wk1,2,4-13
LEC/STUDIOLETHU1430-1520LT22Teaching Wk1,2,4-13
LEC/STUDIOLETHU1430-1520ONLINETeaching Wk3

Course Schedule

0930

1030

1130

1230

1330

1430

1530

1630

1730

MON
TUE
WED

MH3100

LEC/STUDIO | ONLINE

Teaching Wk3

MH3100

LEC/STUDIO | LT25

Teaching Wk1,2,4-13

THU

MH3100

LEC/STUDIO | LT22

Teaching Wk1,2,4-13

MH3100

LEC/STUDIO | ONLINE

Teaching Wk3

FRI

MH3100

70581

TUT | SPMS-TR+7

Teaching Wk2,4-13

MH3100

70583

TUT | SPMS-TR+7

Teaching Wk2,4-13

MH3100

70585

TUT | SPMS-TR+7

Teaching Wk2,4-13

MH3100

70587

TUT | SPMS-TR+7

Teaching Wk2,4-13

MH3100

70581

TUT | ONLINE

Teaching Wk3

MH3100

70583

TUT | ONLINE

Teaching Wk3

MH3100

70585

TUT | ONLINE

Teaching Wk3

MH3100

70587

TUT | ONLINE

Teaching Wk3

MH3100

70582

TUT | SPMS-TR+15

Teaching Wk2,4-13

MH3100

70584

TUT | SPMS-TR+15

Teaching Wk2,4-13

MH3100

70586

TUT | SPMS-TR+15

Teaching Wk2,4-13

MH3100

70588

TUT | SPMS-TR+15

Teaching Wk2,4-13

MH3100

70582

TUT | ONLINE

Teaching Wk3

MH3100

70584

TUT | ONLINE

Teaching Wk3

MH3100

70586

TUT | ONLINE

Teaching Wk3

MH3100

70588

TUT | ONLINE

Teaching Wk3

SAT

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