### Prof. C. Ward Henson

This is a description of what was done in each class; there is a separate listing of the homework that was assigned.
Come to class ready to discuss any examples or problems that you were not sure of.

Except as noted, all references are to the textbook for this class, Introduction to Analysis, by M. Rosenlicht.

Classes are described in reverse time order.

Tues 12/15: final exam 7:00-10:00pm in the usual classroom.

Mon 12/14: problem session at 4:45pm in the usual classroom.

Class 43 (W 12/9): discuss a special topic (optional).

Class 42 (M 12/7): finish 7.3.

Class 41 (F 12/4): 100-point exam on R chap. 5, section 6.5, sections 7.1 to 7.3 middle of page 152, and DW pages 339-346. (Comments on solutions are here.)

Thurs 12/3: problem session at 5:15 in room 441 Altgeld Hall.

Class 40 (W 12/2): practice problems for exam 5.

Class 39 (M 11/30): begin 7.3; cover power series to the middle of page 152.

Class 38 (F 11/20): finish 7.2.

Class 37 (W 11/18): finish 7.1 and start 7.2.

Class 36 (M 11/16): start 7.1.

Class 35 (F 11/13): 50-point exam on DW, chapter 17 (pages 339-346) and R, chap. 6, section 5. (Comments on solutions are here.)

Thurs 11/12: problem session at 5:15 in room 143 Altgeld Hall.

Classes 33 and 34 (M 11/9 and W 11/11): cover R, chap. 6, section 5; logarithm and exponential functions.

Class 32 (F 11/6): treat the Fundamental Theorem of Calculus and its applications; DW page 345-456.

Class 31 (W 11/4): finish DW pages 341-344; properties of the integral.

Class 30 (M 11/2): start DW pages 341-344; properties of the integral.  See today's handout (on properties of the integral) for the order in which we will discuss these things and a couple of proofs that are not given in the DW text.

Class 29 (F 10/30): cover DW page 345 (proof that continuous functions are integrable) and problem 17.14 (monotone, bounded functions are integrable).

Class 28 (W 10/28): continue with DW, pages 340-341 (definition of "integrable" and the integral).

Class 27 (M 10/26): cover much of pages 339-340 in DW.

Reference for the next 6 classes is chapter 17 of Fundamental Mathematics by D'Angelo and West; this covers the Riemann-Darboux approach to defining an integral for bounded real-valued functions on a closed bounded interval.  Material from this chapter will be referred to as "DW".

Class 26 (F 10/23): 100-point exam on chapters 4 and 5. (Comments on solutions are here.)

Thurs 10/22: problem session at 5:15 in room 141 Altgeld Hall.

Class 25 (W 10/21): practice problems for exam 3.

Class 24 (M 10/19): finish 5.4.

Class 23 (F 10/16): start 5.4.

Class 22 (W 10/14): finish 5.2 and cover 5.3.

Class 21 (M 10/12): cover 5.1 and begin 5.2; differentiation of R-valued functions on an open set in R.

Classes 19 and 20 (W 10/7 and F 10/9): cover 4.6; convergence of sequences of functions.

Class 18 (M 10/5): finish 4.4 and cover 4.5; continuous functions on connected sets.

Class 17 (F 10/2): begin 4.4; continuous functions on compact sets.

Class 16 (W 9/30): finish 4.2 and cover 4.3.

Class 15 (M 9/28): begin chap. 4; 6 classes on continuous functions.

Class 14 (F 9/25): 100-point exam on chapters 2 and 3. (Comments on solutions are here.)

Thurs 9/24: problem session at 5:15 in room 143 Altgeld.

Class 13 (W 9/23): practice problems for exam 2.

Class 12 (M 9/21): cover 3.6; connectedness.

Class 11 (F 9/18): finish 3.5.

Classes 9 and 10 (M 9/14 and W 9/16):  continue with section 3.5, including treatment of problems 35-37, sequential compactness.

Class 8 (F 9/11): begin 3.5; compactness (4 classes on this section).

Class 7 (W 9/9): 50-point exam on chap. 2 and chap. 3, sections 1-4. (Comments on solutions are here.)

Tues 9/8: problem session at 5:00 in 141 Altgeld.

M 9/7: Labor Day holiday; no class.

Class 6 (F 9/4): cover 3.4: Cauchy sequences and completeness.

Class 5 (W 9/2): cover 3.3; convergent sequences in a metric space.

Class 4 (M 8/31): cover 3.2; open and closed sets in a metric space.

Class 3 (F 8/28): begin chap. 3; metric spaces.

Classes 1 and 2 (M 8/24 and W 8/26): review of chap. 2; the real number system.  (Note that Math 347, a prerequisite for Math 424,  treats the real number system in detail, especially on pages 16-17 and in chap. 13 of the D'Angelo-West textbook Mathematical Thinking.)