Math 444 (Sections X13 and X14): Elementary Real Analysis

Spring 2020


Instructor: Florin Boca

Office: 371 Altgeld Hall

Phone: 244-9928

E-mail: fboca at illinois dot edu


Textbook: R.G. Bartle and D.R. Sherbert, Introduction to Real Analysis, John Wiley & Sons, Inc. (4th edition)

Prerequisites: Math 241; MATH 347 or MATH 348, or equivalent.

Course description: Careful treatment of the theoretical aspects of the calculus of functions of a real variable intended for those who do not plan to take graduate courses in Mathematics. Topics include the real number system, limits, continuity, derivatives, and the Riemann integral. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 444 and either Math 424 or MATH 447. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance.

Syllabus

For lecture notes, HW solutions, test scores etc. you should sign at Compass


Lectures: MWF 12:00-12:50, 243 Altgeld Hall

Office hours: Monday 4-5, Thursday 4-5, or by appointment.


Email Update from Technology Services, 21-April: Technology Services recently updated the Microsoft 365 license applied to student accounts. For some students, the new licenses created an Exchange Online mailbox, to which incoming email has been directed. This may be in addition to mailboxes that were provisioned in Google Apps @ Illinois. For students who wish to continue using their Google mailbox, please login to Exchange online (https://outlook.office.com) and check for any messages that may have been delivered there. Then review this article (https://answers.uillinois.edu/illinois/47608) that explains how to set up email forwarding and make any necessary changes. For students who want to use the Exchange mailbox, please review this article (https://answers.uillinois.edu/illinois/47593) that explains how to update the email redirection settings. Students with further questions may contact Technology Services here: https://techservices.illinois.edu/get-help


Grading policy: Comprehensive final exam: 35%; Three 50 min midterm exams: 40%; Homework and quizzes: 25%

HW and quiz policy: There will be 12 HW assignments. Assignments ⋕ 2,4,6,8,10,12 will be collected and graded. Assignments ⋕ 1,3,5,7,9,11 will not be collected. Instead, a 15 min quiz with two problems from that assignment will be given in class.

Only the best 10 (out of 12) scores will count. As a result HW extensions or make-up quizzes will not be normally allowed.


Midterm exams calendar: Midterm 1: Monday Feb 17, Midterm 2: Wednesday April 8, Midterm 3: Wednesday April 22.

Final exam: 8-11 am, Friday, May 15, online.


Homework assignments:

HW # 1 (quiz on Jan 29) Sect.1.1: 11, 13, 14, 15, 17, 22, 23; Sect.1.2: 10, 14, 15, 18, 20.

HW # 2 (due in class on Feb 5) Sect.1.3: 6, 9, 12; Sect.2.1: 8, 9, 10, 24; Sect.2.2: 1, 2, 4, 15, 18.

HW # 3 (quiz on Feb 14) Sect.2.2:7,10; Sect.2.3: 4, 5, 7, 10, 12; Sect.2.4: 2, 9, 10, 17, 19.

HW # 4 (due in class on Feb 21) Sect.3.1: 5, 9, 14, 17; Sect.3.2: 10, 13, 15, 20, 23; Sect.3.3: 4, 6, 7.

HW # 5 (quiz on March 2) Sect.3.2: 11, 18; Sect.3.3: 5, 12; Sect.3.4: 10, 14, 18, 19; Sect.3.5: 9, 11, 13, 14.

HW # 6 (due in class on March 11) Sect.3.5: 4, 6; Sect.3.7: 2, 3, 6, 8, 10, 15, 17; Sect.4.1: 6, 12, 13.

HW # 7 (due in a single file scanned pdf form on March 23) Sect.3.7: 11, 13, 16, 18; Sect.4.3: 3, 5, 7; Sect.5.1: 4, 11, 12, 14; Sect.5.2: 1, 6, 10, 12.

HW # 8 (due in a single file scanned pdf form on April 1) Sect.5.3: 6, 8, 11, 13; Sect.5.4: 4, 7, 8, 11, 16; Sect.5.6: 7, 9, 10.

HW # 9 (due in a single file scanned pdf form on April 13) Sect.6.1: 4, 9, 12, 14; Sect.6.2: 3, 4, 5, 9; Sect. 7.4: 1, 8, 9, 15.

HW # 10 (due in a single file scanned pdf form on April 20) Sect.6.2: 7, 8, 11; Sect.6.3: 4, 10, 11, 12; Sect.7.1: 9; Sect.7.2: 8; Sect.7.4: 3, 5, 10.

HW # 11 (due in a single file scanned pdf form on May 1) Sect.7.2: 12, 17, 18, 19; Sect.7.3: 11, 16, 18, 20, 22; Sect.8.1: 4, 23, 24.

HW # 12 (due in a single file scanned pdf form on May 15) Sect.7.3: 21; Sect.8.1: 20; Sect.8.2: 13, 14, 15; Sect.8.3: 3, 9; Sect.8.4: 4, 6, 7, 8, 9.


Last modified: May 5, 2020