This course is discontinued

# 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 våren 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. 7, 2020 4:11 PM