Teaching plan

Date Teacher Place Topic Lecture notes / comments
12.01.2009 John Rognes  Auditorium 5, Vilhelm Bjerknes' hus  1.1. Why do we bother?, 1.2. Limits, 1.3. Continuity, 1.4. The fundamental axiom  Forelesningsnotat 
13.01.2009 JR  Auditorium 1, Vilhelm Bjerknes' hus  1.5. The axiom of Archimedes, 1.6. Lion hunting  Forelesningsnotat 
19.01.2009 JR  Aud. 5  1.7. The mean value inequality, 1.8. Full circle  Forelesningsnotat 
20.01.2009 JR  Aud. 1  3.1. The supremum  Forelesningsnotat 
21.01.2009 Simen Rustad  Aud. 5  Exercises  1.8, 1.11, 1.14, 1.16, K.5, K.7 (NB: The inequalities in K.7 are reversed). 
26.01.2009 JR  Aud. 5  3.2. The Bolzano-Weierstrass theorem  Forelesningsnotat 
27.01.2009 JR  Aud. 1  4.1. Bolzano-Weierstrass in higher dimensions  Forelesningsnotat 
28.01.2009 SR  Aud. 5  Exercises  1.24, 1.25, 1.37, 1.39, 1.40, 1.49, 1.51, K.3, K.8, K.11. 
02.02.2009 JR  Aud. 5  4.2. Open and closed sets  Forelesningsnotat 
03.02.2009 JR  Aud. 1  4.3. A central theorem of analysis  Forelesningsnotat 
04.02.2009 SR  Aud. 5  Exercises  3.8, 3.11, 3.18, 3.24, K.17, K.20. 
09.02.2009 JR  Aud. 5  4.4. The mean value theorem  Forelesningsnotat 
10.02.2009 JR  Aud. 1  4.5. Uniform continuity  Forelesningsnotat 
11.02.2009 SR  Aud. 5  Exercises  4.5, 4.11 (find the typo!), 4.17, 4.33, K.22, 4.48, K.30, K.31. 
12.02.2009       The first mandatory assignment was posted today. 
16.02.2009 JR  Aud. 5  4.6. The general principle of convergence  Forelesningsnotat 
17.02.2009 JR  Aud. 1  6.1. Preliminaries  Forelesningsnotat 
18.02.2009 SR  Aud. 5  Exercises  K.54, K.55, K.56, K.57, 4.85, 4.86, K.58, K.60. 
23.02.2009 JR  Aud. 5  6.2. The operator norm and the chain rule  Forelesningsnotat 
24.02.2009 JR  Aud. 1  6.3. The mean value inequality in higher dimensions  Forelesningsnotat 
25.02.2009 SR  Aud. 5  Exercises  6.12, 6.16, 6.17, K.104, K.106, K.109. 
02.03.2009 JR  Aud. 5  7.1. Some one-dimensional Taylor theorems  Forelesningsnotat 
03.03.2009 JR  Aud. 1  7.2. Some many-dimensional local Taylor theorems  Forelesningsnotat 
04.03.2009 SR  Aud. 5  Exercises  6.26, 6.30, K.107, K.112, Examples 7.5 and 7.6. 
09.03.2009 JR  Aud. 5  7.3. Critical points  Forelesningsnotat 
10.03.2009 JR  Aud. 1  8.2. Riemann integration  Forelesningsnotat 
11.03.2009 SR  Aud. 5  Exercises  K.113, K.115, 7.27. 
13.03.2009       The first mandatory assignment is due by 14:30 today! 
16.03.2009 JR  Aud. 5  8.3. Integrals of continuous functions  Forelesningsnotat 
17.03.2009 JR  Aud. 1.   8.3. The fundamental theorem of the calculus  Forelesningsnotat 
18.03.2009 SR  Aud. 5  Exercises  8.19, 8.20, 8.22, 8.26, K.131. 
23.03.2009 JR  Aud. 5  10.3. Metric spaces  Forelesningsnotat 
24.03.2009 JR  Aud. 1  10.4. Norms and the interaction of algebra and analysis   Forelesningsnotat 
25.03.2009 SR  Aud. 5  Exercises  8.47, 8.48, 8.50. 
30.03.2009       Second (and last) attempts at first mandatory assigment are due by 14:30 today. 
30.03.2009       No lecture due to midterms. 
31.03.2009       No lecture due to midterms. 
01.04.2009       No exercises or April fools' jokes today. 
06.04.2009       No lecture due to Easter break. 
07.04.2009       No lecture due to Easter break. 
08.04.2009       No exercises due to Easter break. 
10.04.2009       The second mandatory assignment will be posted by this day, but probably one week earlier. 
13.04.2009       No lecture due to Easter break. 
14.04.2009 JR  Aud. 1  11.1. Completeness  Forelesningsnotat 
15.04.2009 SR  Aud. 5  Exercises  10.21, 10.23, K.196, 10.42, 10.44, 10.46, 10.47 
20.04.2009 JR  Aud. 5  11.2. The Bolzano-Weierstrass property  Forelesningsnotat 
21.04.2009 JR  Aud. 1  11.3. The uniform norm  Forelesningsnotat 
22.04.2009 SR  Aud. 5  Exercises  10.52, 10.53 (i, ii), 11.9, 11.14 (You may assume the result of 11.13). 
24.04.2009       The second mandatory assignment is due by 14:30 today! 
27.04.2009 JR  Aud. 5  11.4. Uniform convergence  Forelesningsnotat 
28.04.2009 JR  Aud. 1  12.1. Banach's contraction mapping theorem  Forelesningsnotat 
29.04.2009 SR  Aud. 5  Exercises  11.19, 11.20, 11.26, 11.28, 11.29, 11.30. 
01.05.2009       Last chance to withdraw from exam. 
04.05.2009 JR  Aud. 5  12.2. Existence of solutions of differential equations   Forelesningsnotat 
05.05.2009 JR  Aud. 1  13.1. The inverse function theorem  Forelesningsnotat 
06.05.2009 Andrea Hofmann  Aud. 5  Exercises  K.205, K.206, K.214, K.215. 
11.05.2009       Second (and last) attempts at second mandatory assigment are due by 14:30 today. 
11.05.2009 JR  Aud. 5  Exam problems  Eksamen MAT1300 v?ren 2008 
13.05.2009 AH  Aud. 5  Exercises  12.7, 12.10, 13.7, 13.15, Eksamen MAT 1300, 2005 Oppgave 1 
25.05.2009 JR  Aud. 5  Question session 14:15-16:00   
26.05.2009 JR  Aud. 1  Question session 14:15-16:00   
29.05.2009       Final exam at 09:00 (3 hours). 
Published Jan. 5, 2009 2:55 PM - Last modified Feb. 11, 2025 1:12 PM