MATH 140 ZZ Topological Structures


Schedule: 06:00 PM - 07:30 PM, Tue & Thu, IB 103
Course Description: The topology of the real line; the axioms for a topological space and the elementary properties of a topological space; continuity, connectedness and compactness; construction of topological spaces.
Credit: 3 units
Prerequisite: JS (Junior Standing)
Consultation: 10:00 AM - 12:00 NN & 02:00 PM - 05:00 PM Tue, Wed, Thu & Fri, or by Appointment.
Link to Course Syllabus

Exercises (deadline of submission in parenthesis):
Special Problems (deadline of submission in parenthesis):
Practice Problems: The goal of the practice problems is for students to develop a deeper understanding of the concepts discussed in the lectures. While students are not required to submit their solutions for these practice problems, the items in the graded exercises found in this document must be completed and submitted, as they contribute to their final grade. The list of problems will be updated regularly.
Link to Practice Problems (Last Updated 23 May 2024)

Schedule of Long Examinations: Final Examination (To be scheduled by the Office of the University Registrar)

MATH 216 SAT2 Applied Partial Differential Equations


Schedule: 09:00 AM - 12:00 NN, Sat, IB 104
Course Description: Parabolic (heat), hyperbolic (wave), and elliptic (steady-state) partial differential equations; solution techniques are demonstrated, including separation of variables and integral forms.
Credit: 3 units
Prerequisite: COI (Consent of Instructor)
Consultation: 10:00 AM - 12:00 NN & 02:00 PM - 05:00 PM Tue, Wed, Thu & Fri, or by Appointment.
Textbook: L. C. Evans, Partial Differential Equations, Second Edition, Graduate Studies in Mathematics, Vol. 19, American Mathematical Society, 2010.
Link to Course Syllabus

Exercises (deadline of submission in parenthesis):

MATH 232 SAT2 Real Analysis


Schedule: 09:00 AM - 12:00 NN, Sat, IB 103
Course Description: Rigorous introduction to classical real analysis. Brief review of real numbers and a discussion of the topology of metric spaces; includes detailed discussion of the following topics: the analysis of sequences and series; continuity, differentiation and Taylor’s theorem; Riemann and Lebesgue integration; measure theory.
Credit: 3 units
Prerequisite: COI (Consent of Instructor)
Consultation: 01:00 PM - 05:00 PM Wed & Fri, 03:00 PM - 05:00 PM Tue & Thu, or by Appointment.
Link to Course Syllabus
Link to Points System for Exercises and Examinations

Exercises (deadline of submission in parenthesis): Midterm Examination (09:00 AM - 12:00 PM PST 28 October 2023)
Final Examination (01:00 PM - 04:00 PM PST 11 January 2024)

MATH 237 X Functional Analysis


Schedule: 01:30 PM - 03:00 PM, Tue & Thu, IB 104
Course Description: Banach spaces; review of Lebesgue integration and Lp spaces; foundations of Linear operator theory, nonlinear operators; the contraction mapping principle; nonlinear compact operators and monotonicity; the Schauder Fixed Point Theorem; the Spectral Theorem.
Credit: 3 units
Prerequisite: Math 232/equiv
Consultation: 01:00 PM - 05:00 PM Wed & Fri, 03:00 PM - 05:00 PM Tue & Thu, or by Appointment.
Link to Course Syllabus
Link to Points System for Exercises and Examinations

Exercises (deadline of submission in parenthesis): Midterm Examination (03:00 PM - 06:00 PM PST 06 November 2023)
Final Examination (01:00 PM - 04:00 PM PST 12 January 2024)

MATH 297 TBA Independent Study


Schedule: 05:00 PM - 06:30 PM, Tue & Thu, Graduate Conference Room, DMCS Office
Course Description: Student presentations on topics relevant to specialization in graduate research colloquia.
Credit: 3 units
Prerequisite: COI (Consent of Instructor)
Consultation: 01:00 PM - 05:00 PM Wed & Fri, 03:00 PM - 05:00 PM Tue & Thu, or by Appointment.