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):
- Exercise 1 (06:00 PM PST 14 March 2024) Boxplot of Scores
- Exercise 2 (06:00 PM PST 14 May 2024)
- Exercise 3 (05:00 PM PST 04 June 2024)
Special Problems (deadline of submission in parenthesis):
- Special Problem 1: The Countability of the Set of Real Algebraic Numbers (06:00 PM PST 26 March 2024)
- Special Problem 2: Infinitude of Primes (06:00 PM PST 07 May 2024)
- Special Problem 3: Metrics on Matrices (05:00 PM PST 11 June 2024)
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:
- First (03:00 PM - 05:30 PM PST 11 March 2024, KA 301) Boxplot of Scores
- Second (03:00 PM - 05:30 PM PST 29 April 2024, IB 103) Boxplot of Scores
- Third (
05:00 PM - 07:30 PM PST 01 June 2024, IB 103Asynchronous Mode. Sumbission Date: 05:00 PM 04 June 2024)
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):
- Exercise 1 (09:00 AM PST 02 March 2024)
- Exercise 2 (09:00 AM PST 09 March 2024)
- Exercise 3 (09:00 AM PST 16 March 2024)
- Exercise 4 (09:00 AM PST 13 April 2024)
- Exercise 5 (09:00 AM PST 27 April 2024)
- Exercise 6 (09:00 AM PST 04 May 2024)
- Exercise 7 (5:00 PM of the Day Before the Final Examination) Boxplot of Scores
- Exercise 1 (09:00 AM PST 16 September 2023)
- Exercise 2 (09:00 AM PST 23 September 2023)
- Exercise 3 (08:30 AM PST 30 September 2023)
- Exercise 4 (09:00 AM PST 21 October 2023)
- Exercise 5 (09:00 AM PST 18 November 2023)
- Exercise 6 (09:00 AM PST 25 November 2023)
- Exercise 1 (01:30 PM PST 12 September 2023)
- Exercise 2 (01:30 PM PST 26 September 2023)
- Exercise 3 (01:30 PM PST 03 October 2023)
- Exercise 4 (01:30 PM PST 10 October 2023)
- Exercise 5 (01:30 PM PST 26 October 2023)
- Exercise 6 (01:30 PM PST 28 November 2023)
- Exercise 7 (05:00 PM PST 12 January 2024)
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):
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):
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.