Course Syllabus of MATH 270A, Fall 2022

Instruction

Instructor: Prof. Jiawang Nie
Office: AP&M 5864.
Phone: (858) 534-6015.
Email: njw "AT" math.ucsd.edu.
Office hours: 2:00 pm - 3:00 pm, Wed. & Th, or after instuction classes.

Lectures

Time: 3:30 - 4:50 on TuTh
Location: APM 7321

TA Contact Info

Xiaomeng Hu: OH 8am-9am (Tu), 8am-10am (Fri.), HSS 3070, OH zoom id: 529 800 3112 Email: x8hu@ucsd.edu

Course Description

The standard problems whose numerical solution we will study are systems of linear equations, least squares problems, eigenvalue problems, and singular value problems. Techniques for dense and sparse problems will be covered; it is impossible to cover these areas comprehensively, but students should still come to appreciate many state-of-the-art techniques and recognize when to consider applying them. We will also learn basic principles applicable to a variety of numerical problems, and apply them to the four standard problems.

Prerequisite

Consent by Instructor.

Textbook

Applied Numerical Linear Algebra by J. Demmel, published by SIAM, 1997.

Homework Assignments

Homework will be assigned weekly and submitted in Gradescope.
  • Homework Assignment #1, due on 10/04/2022
    Chapter One: 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.13, 1.14, 1.15, 1.16.
  • Homework Assignment #2, due on 10/18/2022
    Chapter Two: 2.3, 2.6, 2.7, 2.10, 2.11, 2.12, 2.13(part 1), 2.18, 2.19, 2.20.
  • Homework Assignment #3, due on 11/08/2022
    Chapter Three: 3.3 (parts 1, 2, 3), 3.4, 3.6, 3.7, 3.9, 3.12, 3.13, 3.14, 3.15, 3.18.
  • Homework Assignment #4, due on 12/02/2022
    Chapter Four & Five: 4.2, 4.4, 4.7, 4.8, 4.9, 4.13, 5.4, 5.5, 5.27, 5.28.
    • Please write your names, ID nubmers, and section numbers on your homework submissions.

    Exams

    There will be two midterm exams and one final exam in this class.
  • Midterm I, in class, 10/20/2022
  • Midterm II, in class, 11/17/2022
  • Final, 3:00-6:00pm, 12/05/2022

    • Grading

    This course is mainly for preparation of qualifier exam on numerical analysis. Qual-purpose students need to choose the letter grade option. The final course grades will be based on the performance of homework assignments and exams. The grading rule is:
    Homework Asssignments (20%) + Midterm I (20%) + Midterm II (20%) + Final exam (40%).
    Non-qual purpose students can choose to take no exams (still need to do homework) but the grading option must be P/NP.

    OSD Accomodation and Academic Integrity

    OSD students need to contact the instructor with verification documents. They may need to take exams with accomodations and with different (equivalent) sets of questions.
    Every student is expected to conduct themselves with academic integrity. Any kind of cheatings is not allowed in this course. Violations of academic integrity will be treated seriously.

    See UCSD Policy on Integrity of Scholarship.