Fall 2015, Math 414/514, Advanced Calculus

Class: MWF 10:30-11:45, MB 124

Instructor: Dr. Zach Teitler
Office: MB 233A
Phone: 208-426-1086
E-mail: zteitler@boisestate.edu
Office hours: TBA and by appointment

Syllabus: pdf, html

Important dates:

Textbook: Elementary Real Analysis, by Thomson, Bruckner, and Bruckner, 2nd ed, 2015.
See the web site of the book to download and for errata.

Weekly schedule:
Dates Topics (planned) What we actually did
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Nov 9   p-norms on R^n
Nov 11 Derivatives, directional derivatives, partial derivatives  
Nov 13 Chain rule  
Week 13
Nov 16 Implicit function theorem  
Nov 18 Implicit function theorem  
Nov 20 Implicit and Inverse function theorems  
Week 14
Nov 30 Banach and sequence spaces  
Dec 2 Completeness of lp and c0  
Dec 4 Containments of lp's; comparison of norms; non topological equivalence  
Week 15
Dec 7 Denseness of c00; parallelogram law (lp's are not Hilbert spaces, except p=2); other miscellaneous  
Dec 9 Separability; Hamel basis  
Dec 11 Schauder basis; continuity of linear functionals, dual spaces  

Written Homework:
Homeworks 1-5 (show/hide)


Homeworks 6-10 (show/hide)
Homeworks 7-15 (show/hide)
Assigned date Assignment Suggested problems Due date
Wed, 11/11/15 11 Choose 3-4 problems from: 11.7.12, 11.7.13; 11.10.1, 11.10.2, 11.10.5, 11.10.6;
12.4.8, 12.4.10, 12.4.11, 12.4.13, 12.4.15, 12.4.18; 12.8.2, 12.8.3, 12.8.4
Wed, 11/18/15
Wed, 12/2/15 12 Choose 3-4 problems as you wish. Recommended are chapters 11 and 12. Wed, 12/9/15

You may use this homework template (383 KB) if you wish. It is completely optional.


zteitler@boisestate.edu


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