MATH 110B: Elements of Partial Differential Equations and Integral Equations
Winter quarter, 2017

Midterm Review

Course Description Green's identities and Green's functions. Separation of variables. General eigenvalues and eigenfunction expansions. Waves and diffusion in space. Existence, uniqueness, and stability of solutions. Concept of distributions. Fourier transforms and Laplace transforms. Basics of the calculus of variations. Partial differential equations from continuum physics.
Prerequisites Math 110A or consent of instructor.
Textbook W. A. Strauss, Partial Differential Equations: An Introduction, 2nd ed., Wiley, 2007.
        Note: We will cover most of chapters 7 and 9 - 12, and some sections from Chapters 13 and 14.
        Note: A copy of the textbook is on reserve in the library.
Instructor Professor Bo Li. Office: AP&M 5723. Phone: (805) 534-6932. Email: bli@math.ucsd.edu. Office hours: 11:00 am - 11:30, Mondays and Fridays.
Teaching Assistant Mr. Benjamin Ciotti. Office: AP&M 5712. Email: bciotti@ucsd.edu. Office hours: 1:00 - 2:00, Tuesdays and Thursdays.
Lectures 10:00 am - 10:50 am, Mondays, Wednesdays, and Fridays, HSS 1305.
Discussion Session 6:00 pm - 6:50 pm, Wednesdays, AP&M 6402.
Homework Homework will be assigned, collected, and partially graded regularly. Unless otherwise instructed, homework is collected in Friday's lecture and returned in Wednesday's discussion class.
    Note: no late homework will be accepted unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided.
  • Homework assignment 1, due Friday, 1/13: hw1.pdf.
  • Homework assignment 2, due Friday, 1/20: hw2.pdf.
  • Homework assignment 3, due Friday, 1/27:
    • Section 7.1: 5, 7.
    • Section 7.2: 1, 2, 3.
  • Homework assignment 4, due Friday, 2/3:
    • Section 7.3: 2.
    • Section 7.4: 1, 2, 6 (optional), 11.
  • Homework assignment 5, due Friday, 2/10:
    • Section 9.1: 1, 2, 6, 7.
  • Homework assignment 6, due Friday, 2/24:
    • Section 9.2: 1, 3, 4.
    • Section 9.3: 1.
    • Section 10.1: 1.
  • Homework assignment 7, due Friday, 3/3
    • Section 10.1: 2, 4(a,b,), 5(b,c,d).
    • Section 10:2: 2, 4, 5.
  • Homework assignment 8, due Monday, 3/13
    • Section 12.1: 2, 5, 7, 12.
  • Homework assignment 9:
    • Section 12.2: 13.
    • Section 12.3: 1 (for the exponential function), 2 (iii, iv, vi), 4(a).
    • Section 12.4. 1, 3.
Exams There will be one in-class midterm and one take-home final exam.
      The midterm exam will be a close-book, close-note, and no-calculator exam. It will be on Friday, February 10, 2017.
      The final exam is cumulative. It should be completed without any discussions with other people and without copying fully or partially any existing solutions from the internet or from other people. The take-home final is due 11:00 am, Friday, March 24, 2017.
      Note: neither rescheduled nor make-up exams will be allowed unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided.
Grading The final course grade will be determined based on the class participation, homework, and exams with the weights: class participation - 5%; homework - 25%; midterm exam - 30%; and the final exam - 40%.
Academic Integrity All students are expected to conduct themselves with academic integrity. Violations of academic integrity will be treated seriously. See the official UCSD Policy on Integrity of Scholarshiop and the related information.
Last updated by Bo Li on January 7, 2017.