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MATH 170B

Spring 2020

Instructor: Caroline Moosmüller

Email: cmoosmueller (at) ucsd (dot) edu

Office hours (held via zoom): M 10 am - 12 pm, W 4-5 pm

Lecture time: MWF 3 pm - 3:50 pm
Lecture will either be held live via zoom during these times, or I will post pre-recordings of the lecture to Canvas. You will be informed ahead of time which lecture type is used.
Note: All lecture will be recorded and made available on Canvas. In this way all students can rewatch (especially those who are in different time zones). Please note that if you join a live zoom lecture, you will be recorded as well; if you do not want to be recorded, please watch the recording afterwards and ask your questions on Piazza, during office hour or via email.

Piazza: We will be using Piazza for lecture and homework related questions. Please sign up to join the group.

Announcements:

June 4: Letter from the Math Department regarding support of students at this time of crisis

Lecture notes:

Mar-30 (Chapter 1.1)

Apr-1 (Chapter 1.1 continued)

Apr-3: Part 1 (Chapter 1.1: Taylor's theorem), Part 2 (Chapter 1.2: Order of convergence)
Additional info on order of convergence (not relevant for exams, but might be of interest)

Apr-6 (Chapter 1.2: Implicit function theorem, Chapter 3.1: Bisection method)

Apr-8 (Chapter 3.1: Bisection method continued)

Apr-10: Part 1 (Chapter 3.2: Newton method idea) Part 2 (Chapter 3.2: Newton method error analysis)

Apr-13 (Chapter 3.2: Newton method continued)

Apr-15 (Chapter 3.3: Secant method, Chapter 3.4: Fixed points)

Apr-17 (Chapter 3.4: Fixed points continued)

Apr-20 (Chapter 6.1: Polynomial interpolation)

Apr-22 (Chapter 6.1: Polynomial interpolation continued and Chapter 6.2: Divided differences)

Apr-24 (Review for midterm 1)

Apr-27 (Chapter 6.2: Divided differences)

Apr-29 (Chapter 6.3: Hermite interpolation)

May-1: Part 1 (Chapter 6.3: Hermite interpolation finish example) Part 2 (Chapter 6.4: Splines)

May-4 (Chapter 6.4: Splines continued)

May-6 (Chapter 6.5: B-Splines)

May-8: Part 1 (Chapter 6.5: B-Splines continued) Part 2 (Chapter 6.6: B-Splines: Applications)

May-11 (Chapter 6.6: B-Splines: Applications, continued)

May-13 (Interpolation review, Chapter 7.1: Numerical Differentiation)

May-15: Part 1 (Chapter 7.1: Numerical differentiation using polynomial interpolation) Part 2 (Chapter 7.1: Numerical differentiation using Richardson extrapolation)

May-18 (Chapter 7.2: Numerical Integration)

May-20 (Chapter 7.2: Numerical Integration continued)

May-22 (Review for midterm 2)

May-27 (Chapter 6.1: Chebyshev polynomials)

May-29 (Chapter 6.1: Chebyshev polynomials continued)

Jun-1 (Chapter 7.2: Chebyshev polynomials of 2nd kind, Chapter 6.1: Note on the convergence of interpolating polynomials)

Jun-3 (Review)

Jun-5 (Review - P7 and P8 on the sample final)

Discussion sections:

Note that A02 has been cancelled (due to overlap with midterms) and replaced with A05. Please enroll into A05.

TA Section Time Room
Dante Wu A01 F 5 pm - 5:50 pm via zoom
Chuqing Shi A03 F 4 pm - 4:50 pm via zoom
Chuqing Shi A04 F 5 pm - 5:50 pm via zoom
Jiajie Shi A05 F 4 pm - 4:50 pm via zoom

TA office hours:

Chuqing Shi: Tu 4-5 pm, Th 9-10 am
Jiajie Shi: Th 2-3 pm
Dante Wu: M 2-3 pm

Discussion sections problems:

Solutions to these problems will be posted to Canvas under "Files".

Apr-3
Apr-10
Apr-17
Apr-24
May-1
May-8
May-15
May-29