Math 63
Real Analysis (honors)
Winter 2015


General Info | Day-to-day

 

Syllabus and homework assignments

wk date reading topic homework

1 1/5 Ch I.1-4 Sets Ch I: 3b, 4b, 7bd, 10a
1/7 Ch II.1-2 Ordered fields Ch II: 2ab, 3, 6
1/9 Ch II.3-4 Least upper bound Ch II: 10a, 11, 13
Homework #1 is due Wed Jan 14
2 1/12 Ch III.1 Metric spaces Ch III: 1abc
1/14 Ch III.2 Open sets Ch III: 4, 5, 6
1/16 Ch III.2 (continued)
3 1/19 MLK No class
1/21 Ch III.3 Convergence Ch III: 8, 10, 11, 18
Homework #2 is due Wed Jan 28
1/23 Ch III.4 Complete spaces Ch III: 24
4 1/26 Ch III.5 Compact spaces Ch III: 31, 32, 33
1/27(x) Ch III.5 (continued) Ch III: 27, 29
1/28 Ch III.6 Connectedness
1/30 Ch IV.1 Continuity Ch IV: 1acd, 3, 4
Homework #3 is due Wed Feb 11
5 2/2 Ch IV.2 Continuity and sequences
2/4 Ch IV.3 Rational fns
6 2/9 Ch IV.4 Cont fns and compact sets Ch IV: 14, 21
2/11 Ch IV.5 Cont fns and connected sets Ch IV: 29b
2/13 Ch IV.6 Sequences of fns Ch IV: 33, 42
7 2/16 Ch IV.6 Spaces of functions Homework: The Hilbert curve
2/18 Ch V.1-3 Derivatives
2/20 Ch V.4 Taylor's Thm Ch V: 11
Homework #4 is due Wed Feb 25
8 2/23 Ch VI.1-2 Riemann integral Ch VI: 2, 11, 8
2/25 Ch VI.3 Integrability
2/27 Ch VI.3 Integrability Lecture notes: Riemann integrability
9 3/2 Ch VI.4-5 Calculus
3/4 Ch VII.1 Derivative of a limit
3/6 Ch VII.2-3 Power series
10 3/9 Ch VII.3-4 Analytic functions