Lectures: TTh 2:00-3:30pm, 75 Evans

Course Control Number: 54948

Office: 841 Evans e-mail: tataru@math.berkeley.edu

Office Hours for the exam week:  Tue 2-4, Wed 1-4, Thu 9-11

TA office hours:  Monday   9-11am and 12-3:30pm
                               Tuesday   9-10am and 12:30-4pm    in    891 Evans

Prerequisites: Math. 53 and 54

Syllabus: Chapters 1-7 of the text.

Required Text: W. Rudin, Principles of Mathematical Analysis, 3rd Edition, McGraw-Hill

Grading: 25% homeworks, 25% the midterm, 50% the final

Homework: Homework is assigned below.  Homeworks assigned each week  are due on the Tuesday of the
following week. Three of the problems are graded. The lowest two scores are dropped.

Final exam:  Thursday December  11, 1230-330 pm,  170 BARROWS . Here is the  sample final.
 
 

Day	Section	Homework
26/8	Ordered sets	1,2,4,5
28/8	Fields, the real numbers
2/9	Complex numbers, the euclidean space	9,11,12,14,15,16,17
4/9	Counting	2,3,4
9/9	Metric spaces	5,6,7,8,9,10
11/9
16/9	Compact sets	12,13,14
18/9	*Perfect and connected sets	16,17,18,20,29
23/9	Convergent sequences, subsequences	1,2,3,17(a),20
25/9	Cauchy sequences	21,23
30/9
2/10	Series	4,5,11(abc),12(ab),14(abcd)
7/10	Convergence tests	6,7,8,9,10
9/10
14/10	Midterm
16/10
21/10	Limits of functions	1,2,3,4,7
23/10	Continuity	8,10,11,12,14
28/10	*Continuity, cont.	15,17,20,23,24
30/10	Differentiation	1,2,4,6
4/11	More differentiation	8,9,11,16,17,22a
6/11	Integration	5,8,10abc
13/11	More integration	2,11,12
18/11	Yet more integration	18
20/11	Sequences of functions	5,6,7,8,9
25/11	Sequences of functions	2,3,4,10, 11
2/12	Arzela-Ascoli and Weierstrass	15,16,18,20,22
4/12	The exponential, log and trig functions	1,4,5,6,7