Recipe for a one
semester course and
interdependence of the
chapters
*Lebesgue measure and integration
(40 lectures and 10 problem/discussion hours)
Prologue: Everything
Chapter 1: Sections 1.1 and 1.2 (depending upon the background of the
students), 1.3 and 1.4 can be left for self study.
Chapter 2: Sections 2.1 and 2.2.
Chapter 3: Sections 3.1 to 3.3; 3.5 to 3.9; 3.10 and 3.11 (omitting the
proofs).
Chapter 4: Sections 4.1 to 4.3; 4.4 and 4.5 (omitting the proofs); 4.6.
Chapter 5: Sections 5.1 to 5.6; Parts of 5.7 to 5.9 can be included de-
pending upon the background of students and the emphasis
of the course.
Chapter 6: Sections 6.1; 6.2 (omitting proofs); 6.3 (stating the theorem
6.3.6 and giving applications: 6.3.8, 6.3.10 to 6.3.13, 6.3.16
(omitting proof).
Chapter 7: Sections 7.1 to 7.4.
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