Johannes Brust (Instr.) Jiajie Shi (TA) jjbrust@ucsd.edu jis254@ucsd.edu Office/student hrs: Office/student hrs: M,W: 11-12a (APM 6422) R: 3-4p (APM 6132) F: 11-12a [Zoom] F: 4-6p [Zoom]

## Welcome to Math 170B (Lecture B, Spring 2022)

``Introduction to Numerical Analysis: Approximation and Nonlinear Equations''

Like learned in Math 170A, numerical analysis is about computational methods. As such this class involves a valuable amount of numerical reasoning in connection with practical methods. One may use the materials to further learn Numerical Analysis in Math 170C or even as tools to numerically solve problems from research, industry and applications accross different subjects.

Because of this, algorithms and computer implementations are important components of the class. Examples are in [Matlab] (available for free to UCSD students), yet you are free to choose a language you like.

### Memo to the student:

Remember, this class is here to help succeed in learning the subject.

• Homework problems will help prepare for Quiz, Midterm and Final questions
• •Being active in Lecture, Discussion and office hours will help to learn
• •Ask for help when feeling stuck

# Announcements

 Mar 31 • A fellow student has kindly prepared a Latex template for homework [file] Mar 25 • According with campus policy instruction is in-person.

# Syllabus

All in Pacific Time

Lectures: MWF, 10a-10:50a in WLH 2204

Discussions: Th, APM 2402
B01: 7p-7:50p
B02: 8p-8:50p

## Schedule

(Note: Schedule and policies may be updated throughout the quarter)

Remember: Midterm, quizzes and final

 Week Lect. Date Topic Notes 1 1 Mon, Mar 28, 22 Intro. & Sec. 1.1 [Lec.1],[pdcst.] 1 2 Wed, Mar 30, 22 Secs. 1.1 & 1.2 [Lec.2],[pdcst.],[Mtlb.] 1 3 Fri, Apr 01, 22 Sec. 1.2 [Lec.3],[pdcst.] 2 4 Mon, Apr 04, 22 Sec. 2.1 [Lec.4],[pdcst.] 2 5 Wed, Apr 06, 22 Secs. 2.1 & 2.3 [Lec.5],[pdcst.] 2 6 Fri, Apr 08, 22 Secs. 2.3 & 3.1 [Lec.6],[pdcst.],[Mtlb.] 3 7 Mon, Apr 11, 22 Sec. 3.1 cont. [Lec.7],[pdcst.] 3 8 Wed, Apr 13, 22 Sec. 3.2 [Lec.8],[pdcst.] 3 9 Fri, Apr 15, 22 Sec. 3.3 [Lec.9],[pdcst.] 4 10 Mon, Apr 18, 22 Sec. 3.4 (Quiz 1) [Lec.10],[pdcst.],[Mtlb.] 4 11 Wed, Apr 20, 22 Secs. 3.4 & 6.1 [Lec.11],[pdcst.],[Mtlb.] 4 12 Fri, Apr 22, 22 Sec. 6.1 [Lec.12],[pdcst.] 5 13 Mon, Apr 25, 22 Sec. 6.2 [Lec.13],[pdcst.] 5 14 Wed, Apr 27, 22 Sec. 6.2 cont. [Lec.14],[pdcst.] 5 15 Fri, Apr 29, 22 Sec. 6.3 [Lec.15],[pdcst.] 6 16 Mon, May 02, 22 Review & Sec. 6.4 [Lec.16],[pdcst.] 6 17 Wed, May 04, 22 (Midterm) 6 18 Fri, May 06, 22 Sec. 6.4 cont. [Lec.18],[pdcst.],[Mtlb.] 7 19 Mon, May 09, 22 Sec. 6.5 [Lec.19],[pdcst.] 7 20 Wed, May 11, 22 Secs. 6.5 [Lec.20],[pdcst.] 7 21 Fri, May 13, 22 Secs. 6.5 [Lec.21],[pdcst.],[Mtlb.] 8 22 Mon, May 16, 22 Sec. 6.5 & 6.6 [Lec.22],[pdcst.] 8 23 Wed, May 18, 22 Sec. 6.6 cont. [Lec.23],[pdcst.] 8 24 Fri, May 20, 22 Sec. 7.1 [Lec.24],[pdcst.],[Mtlb.] 9 25 Mon, May 23, 22 Sec. 7.1 cont. [Lec.25],[pdcst.],[Mtlb.] 9 26 Wed, May 25, 22 Sec. 7.2 [Lec.26],[pdcst.],[Mtlb.] 9 27 Fri, May 27, 22 Sec. 7.2 (Quiz 2) [Lec.27],[pdcst.] 10 -- Mon, May 30, 22 (Memorial Day) 10 28 Wed, Jun 01, 22 Sec. 7.2 [Lec.28],[pdcst.],[Mtlb.] 10 29 Fri, Jun 03, 22 Final review [Lec.29],[pdcst.] 11 30 Mon, Jun 06, 22 (Final Exam)

## Materials

 Textbook: Numerical Analysis: Mathematics of Scientific Computing (3rd ed.), D. Kincaid and W. Cheney Content: We will cover relevant parts of chapters 1,2,3,6 and 7 Homework: We will use 9 HW sets (to learn and practice the subject) Assessment: Quiz 1 (M. Apr. 18), (Content: Secs. 1.1,1.2,2.1,2.2,3.1,3.2) Midterm (W. May 4), (Content: Secs. 3.3,3.4,6.1,6.2) [Prac.], [Exam], [Soln.] Quiz 2 (F. May 27 ), (Content: Secs. 6.3,6.4,6.5,6.6,7.1) Final (M. Jun. 6, 8:00a-10:59a), (Content: comprehensive) [Prac.], [Exam & Soln.]

Weighted final scores from the best of two approaches:

 30% Homework + 25% Quizzes + 45% Midterm & Final OR 30% Homework + 15% Best Quiz + 55% Midterm & Final

Letter grades from weighted final scores and the best of two options

• (Option A):
•  A+ A A- B+ B B- C+ C C- D F 97 93 90 87 83 80 77 73 70 60 60>

• (Option B):
• A curve where the median corresponds to B-/C+

# Resources

 Canvas (Course page) Gradescope (Examination system) Piazza (Portal to ask questions)

## Homework:

To access use the UCSD "AD username" (e.g., jjbrust) and "Student ID" (e.g., A1234567)

 (Due/ Sections) Homework 1, [HW1],[Mtlb. Soln.],[Soln.] (due Apr. 2, Secs. 1.1 -- 1.2) Homework 2, [HW2],[Mtlb. Soln.],[Soln.] (due Apr. 9, Secs. 2.1 & 2.3) Homework 3, [HW3],[Mtlb. Soln.],[Soln.] (due Apr. 16, Secs. 3.1 & 3.2) Homework 4, [HW4],[Mtlb. Soln.],[Soln.] (due Apr. 23, Secs. 3.3 & partly 3.4) Homework 5, [HW5],[Mtlb. Soln.],[Soln.] (due Apr. 30, Secs. 6.1 & partly 6.2) Homework 6, [HW6],[Mtlb. Soln.],[Soln.] (due May 7, Secs. 6.2 & 6.3) Homework 7, [HW7],[Mtlb. Soln.],[Soln.] (due May 14, Secs. 6.4 & partly 6.5) Homework 8, [HW8],[Mtlb. Soln.],[Soln.] (due May 21, Secs. 6.5 & 6.6) Homework 9, [HW9],[Mtlb. Soln.],[Soln.] (due May 28 Secs. 7.1 & 7.2)

### Instructions (homework):

 • Total of 9 HW sets. Cumulative HW grade based on the best 8 out of 9. • HW 1 -- 9 submitted to Gradescope by Saturday 11:00 pm Pacific Time. (Note: To be prepared for unforeseen technical difficulties, we will accept homework submitted within 24 hours from the due date, i.e., Sunday 11:00 pm, without a penalty.) • In view of the above arrangement, NO late homework will be accepted. • You can work with classmates, but need to write down your own version. Copying solutions from others is not accepted and is considered cheating. • A good portion of the exams will be based on the weekly problems. So it is extremely important for you to make sure that you understand each one of them.

## Notes:

Please notice that outside factors, including the need for a certain grade for admission/retention in any academic program, scholarship or transfer credit, graduation requirements or personal desire for a specific grade DO NOT appear in the determination of course grades. Effort, improvement, class attendance and participation will all dramatically improve your grade in the course in that they will allow you to do well on exams, and the final exam. They will NOT, however, actively participate in the calculation of course grades.

Accommodations: Students requesting accommodations and services due to a disability for this course are asked to provide a current Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD), prior to eligibility for requests. Receipt of AFAs in advance is necessary for appropriate planning for the provision of reasonable accommodations. OSD Academic Liaisons also need to receive current AFA letters. Students can find department-specific information on exam accommodations on the following Math Department webpage: http://www.math.ucsd.edu/programs/undergraduate/exam_accommodations.php

Academic Dishonesty:  Academic dishonesty is considered a serious offense at UCSD.  Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university.  It is in the student's very best interest to maintain academic integrity. (Click here for more information.)