Advanced Mathematics

Course description in Osiris

In this course we will use lecture notes by W.W.L Chen.

Lectures are given by Johan van de Leur and Hasse van Boven (h.w.vanboven”AT”students.uu.nl) in Newton room ??? on Wednesday 15:45-17:30 and Friday 13:45-15:30
There are no office hours, but you can always e-mail J.W.vandeLeur"AT"uu.nl or call 030-2533833 and we can agree to meet at UCU or in room 509 of the Math Building.

Wednesday February 1: Chapter 2 of W.W.L Chen's Fundamentals of Analysis. See

http://rutherglen.science.mq.edu.au/wchen/lnfafolder/lnfa.html

Friday February 3: Exercises Ch2: 1, 2, 4, 5 of Chen's Fundamentals of Analysis.

Hand in exercise: 3

Wednesday February 8: Chapter 2 of W.W.L Chen's Fundamentals of Analysis.

Friday February 10: Exercises Ch2: 7, 8, 9, 10, 11

Hand in exercise: 6

Wednesday February 15: Chapter 3 (except section 3.4 and 3.5) of W.W.L Chen's Fundamentals of Analysis.

Friday February 17: Section 3.4 of Chen,
Exercises Ch3: 2abce, 3ac, 4, 7ab
Hand in exercise: 1

Wednesday February 22: Chapter 4 (sections 4.1 and 4.2) of W.W.L Chen's Fundamentals of Analysis.

Friday February 24: Exercises:

a Prove by using the definition that xⁿ (n=1,2,3,4,...) is continuous in x=0.
b Prove a by using Theorem 4F.
c Prove that every polynomial is continuous.
Exercises 1, 2 of Chapter 4 of W.W.L Chen's Fundamentals of Analysis.

Hand in exercise: Prove by using the definition that x² is continuous for every x.

Wednesday February 29: section 4.3 and first part of 5.1 (Chapter 5 )of W.W.L Chen's Fundamentals of Analysis.

Friday March 2: Chapter 4: 3, 4, 5a,b, Chapter 5: 2, 3

Hand in exercise: Chapter 5 exercise 4a,b,c

Wednesday March 7: section 5.1 and 5.2 Chapter 5 of W.W.L Chen's Fundamentals of Analysis.

Friday March 9: Chapter 5: 1b , 7, 12, 13, 16 a,c

Wednesday March 14: test exercises
solutions test exercises page: 1, 2 , 3 , 4 , 5 , 6 , 7

Friday March 16: MIDTERM EXAM

From now on we will study material from W.W.L. Chen' s Multivariable and Vector Analysis

Wednesday March 28: Begin Chapter 1 of W.W.L. Chens Multivariable and Vector Analysis.

Friday March 30: Chapter 1 exercises 1, 2, 3, 5.

Hand in exercise: Chapter 1 exercise 4 (due April 11).

Wednesday April 4: Rest Chapter 1 of W.W.L. Chens Multivariable and Vector Analysis.

Wednesday April 11: Part of Chapter 2 of W.W.L. Chens Multivariable and Vector Analysis.

Friday April 13: Chapter 1 exercise 6, 7, Chapter 2 exercises 1ab, 2ab

Hand in exercise: Chapter 2 exercise 9.

Wednesday April 18: Rest of Chapter 2 of W.W.L. Chens Multivariable and Vector Analysis.

Friday April 20: Chapter 2 exercise 4, 5, 13, 12, 14a

Hand in exercise: Chapter 2 exercise 8.

Wednesday April 25: Chapter 3 of W.W.L. Chens Multivariable and Vector Analysis.

Friday April 27: Chapter 3 exercise 1,2 and 3.

Hand in exercise: Chapter 3 exercise 4.

Wednesday May 2: sections 1, 2 and 3 of Chapter 4 of W.W.L. Chens Multivariable and Vector Analysis.

Friday May 4: Chapter 4 exercise 1,2a-e and 3a-d.

Wednesday May 9: Extra exercises test exercises 1 , test exercises 2 , test exercises 3

Friday May 11: Extra exercises

Wednesday May 16: FINAL EXAM