MATH 131BH: Spring 2026
Honors Analysis
lecturer: Marek Biskup, MS 6180
lecture: MWF 10-11 in MS 6627
office hours: (tentatively) MWF 11-noon
discussion: T 10-11 in MS 6627, TA: M.B.
Scheduling: The first class (Monday, March 30) as well as classes in week 8 will be taught over zoom due to travel of the lecturer. The discussion on Tuesday, March 31, will be cancelled for the same reason.
Board photos & lecture notes: to be found here, including a brief synopsis of material covered.
Homework:
HW#1 HW#2 HW#3 HW#4 HW#5 HW#6 HW#7 HW#8
Course content:
Textbooks:
Topics to be covered: The course continues the rigorous treatment of real analysis started in MATH 131AH in Winter Quarter. (See 131AH-notes for what we covered there.) The early part of the course is devoted to continuity and limits of functions and then differentiation (which is a rigorous version of one-variable differential calculus). We then continue with the Riemann-Stieltjes integral (one-variable integral calculus) thus completing the rigorous version of Newton-Leibnitz theory. After this we proceed to more advanced topics: first, uniform convergence and its consequences such as the construction and properties of well known transcendental functions via power series, Fourier analysis, etc. Time permitting, we will attempt to delve (rigorously) into multivariable differential and integral calculus.
While being marked as an honors version of MATH131B, the content of the course contains a number of additional topics on top of what is generally treated in MATH131B. On the other hand, there is material on 131BH syllabus (e.g., metric spaces) that was already treated in 131AH.
Course policies:
Midterms: in class on Fridays April 24 (week 4) and May 22 (week 8)
Final exam: Tuesday, June 9, 3-6PM
Exam policy: No make-ups, no open book or calculators, ID required
Homework: assigned via this site, due on the date/time posted by upload to bruinlearn.
Homework policy: lowest HW score dropped, late HW accepted only for valid reasons
Grading: Homework 10% and the better of the following: Midterms 30% + Final 60% OR Final 90%. The two midterms contribute to overall midterm score equally.