Basic Information
Course: Math 3553.80 Numerical Analysis
Semester: Fall 2018
Time: 08/27/2017-12/10/2017, Mon&Wed 12:45pm-02:00pm;
Location: Phillips Hall B152
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: username at email dot gwu dot edu username equals yxzhao
Office Hour: Mon&Wed 05:00pm-06:30pm or by appointment
Course Description
This course covers: Linear systems and matrices; Direct and iterative methods for solving linear equations; Sparse matrices; Solution of nonlinear equations; interpolation and approximate representation of functions; splines.
Prerequisites
- Calculus I & II;
- Linear Algebra (Matrix theory);
- Computing in Mathematics (Matlab);
Textbook
- Numerical analysis, by Burden, 10th edition, published by Cengage Learning.
Learning Outcomes
As a result of completing this course, the students will be able to:
- solve linear systems by using different numerical methods (direct or indirect methods);
- conduct some basic conditioning analysis on different numerical methods for linear methods;
- understand the convergence and rate of convergence for fixed-point iteration methods for nonlinear problems;
- use Matlab to numerically solve some simple linear or nonlinear problems.
Average minimum amount of independent, out-of-class, learning expected per week
More than 2/3 of the time you devote to this class should take place outside the classroom (lecture and recitation). Even the best students in the class should plan on spending an average of at least 5 hours a week on homework and other studying. Students who struggle with the material may need to spend more time in order to earn a grade they will find acceptable.
Calendar
Monday Wednesday
Week01. Aug27-Aug31 Aug 27 Aug29: quiz01
Week02. Sep03-Sep07 Labor Day Sep05: quiz02
Week03. Sep10-Sep14 Sep10 Sep12: quiz03
Week04. Sep17-Sep21 Sep17 Sep19: quiz04
Week05. Sep24-Sep28 Sep24 Sep26: quiz05
Week06. Oct01-Oct05 Oct01 Oct03: in-class midterm
Week07. Oct08-Oct12 Fall Break Oct10
Week08. Oct15-Oct19 Oct15 Oct17: quiz06
Week09. Oct22-Oct26 Oct22 Oct24: quiz07
Week10. Oct29-Nov02 Oct29 Oct31: quiz08
Week11. Nov05-Nov09 Nov05 Nov07: quiz09
Week12. Nov12-Nov16 Nov12 Nov14: quiz10
Week13. Nov19-Nov23 Nov19 Thanksgiving
Week14. Nov26-Nov30 Nov26 Nov28: quiz11
Week15. Dec03-Dec07 Dec03 Dec05: quiz12
Week16. Dec10-Dec14 Dec10 Final (12/12/18 12:40-2:40pm)
NOTE: In accordance with university policy, the final exam will be given during the final exam period and not the last week of the semester.
Homework
Homework will NOT be collected.
- Homework 01 (PDF); Solution (PDF);
- Homework 02 (PDF); Solution (PDF);
- Homework 03 (PDF); Solution (PDF);
- Homework 04 (PDF); Solution (PDF, PDF2);
- Homework 05 (PDF); Solution (PDF);
- Homework 06 (PDF); Solution (PDF);
- Homework 07 (PDF); Solution (PDF);
- Homework 08 (PDF); Solution (PDF);
- Homework 09 (PDF); Solution (PDF);
- Homework 10 (PDF); Solution (PDF);
- Homework 11 (PDF); Solution (PDF);
- Homework 12 (PDF); Solution (PDF);
- Homework 13 (PDF); Solution (PDF);
Notes
- Lecture Notes (PDF);
- Topic summary (PDF);
- Frobenius matrix (PDF);
- Gauss elimination and LU decomposition (PDF);
- Cholesky decomposition (PDF);
- Orthogonal Polynomials and Gauss Quadrature (PDF);
Quizzes
There are 12 10-minute quizzes, each out of 3 points, on Wednesday's classes. 10 hightest quizzes count for the final grade. NO MAKEUP QUIZZES for any excuses.
Exams
There will be an in-class midterm exam on Oct 03, and a final exam in the week of Dec 12-20.
- No makeup midterm exam for any excuse.
- The final exam is cumulative and is scheduled at Wednesday 12/12/18 12:40-2:40pm. It is your responsibility to ensure that you do not have a schedule conflict involving the final exam.
- Assistance of any type (notes in any form, books, etc.) is strictly banned during exams. Using the work of others on exams is strictly prohibited.
Exam Solutions
- Midterm [PDF];
- Final Exam;
Grading
Your course grade will be determined by your cumulative average at the end of the term and will be based on the following scale:
A A- B+ B B- C+ C C- D+ D D-
95% 90% 87% 83% 80% 77% 73% 70% 67% 63% 60%
Your cumulative average will be the higher one of the following two weighted averages:
homework quiz midterm final
Scheme I 0% 30% 30% 40%
Scheme II 0% 30% 0% 70%
Class Policies
University policy on Religious Holidays:
- Students should notify faculty during the first week of the semester of their intention to be absent from class on their day(s) of religious observance;
- Faculty should extend to these students the courtesy of absence without penalty on such occasions, including permision to make up examinations;
- Faculty who intend to observe a religious holiday should arrange at the beginning of the semester to reschedule missed classes or to make other provisions for their course-related activities.
Academic Integrity
Academic dishonesty is defined as cheating of any kind, including misrepresenting one's own work, taking credit for the work of other without crediting them and without appropriate authorization, and the fabrication of information. For the remainder of the code, see: http://www.gwu.edu/~ntegrity/code.html.
Support for Students Outside the Classroom
- Disability Support Services (DSS): Any student who may need an accommodation based on the potential impact of a disability should contact the DSS office at 202-994-8250 in the Rome Hall, Suite 102, to establish eligibility and to coordinate reasonable accommodations. For additional information please refer to: http://gwired.gwu.edu/dss/.
- University Counseling Center (UCC): The UCC (202-994-5300) offers 24/7 assistance and referral to address students' personal, social, career, and study skills problems. Services for students include: crisis and emergency mental health consultations; confidential assessment, counseling services (individual and small group), and referrals. For additional information please refer to: http://counselingcenter.gwu.edu/.
Security
In the case of an emergence, if at all possible, the class should shelter in place. If the buliding that the class is in is affected, follow the evacuation procedures for the building. After evacuation, see shelter at a predetermined rendezvous location.
Student Responsibilities and Classroom Courtesy:
- You are responsible for knowing about all announcements made in class related to homeworks, exams etc., and for all material covered in class.
- Be aware of the University's Code of Academic Integrity, see http://www.gwu.edu/~ntegrity for details. If cases of academic dishonesty arise, whether on homeworks, quizzes or exams, they will be pursued to their conclusion.
- Each student must conduct him or herself in a manner that promotes a positive atmosphere, conveys mutual respect, and creates no distractions, thereby allowing all students to focus on our goal: learning NUMERICAL ANALYSIS. In particular:
- cell phones, texting devices, laptops, and all other potentially distracting must be turned off during class;
- cell phones, texting devices, laptops, and all other potentially distracting must be turned off during class;
- everyone should make a serious effort to arrive promptly for the start of class;
- except for serious reasons, once in class everyone should remain in class until the class is over;
- apart from the lecture, students asking the instructor questions, and students responding to the instructor's questions, the class should be silent.
Questions
Everyone is strongly encouraged to ask questions during class, and during office hours! Should you need further assistance, you may consider hiring a tutor (the department keeps a list of tutors).
