Lecture site:  HSS 1330 
Lecture times:  Monday, Wednesday, Friday. 4:00pm4:50pm. 
Discussion sessions 
C01 973183: Monday 5:00p5:50p, HSS 2150 with David Lenz
C02 973184: Monday 6:00p6:50p, HSS 2150 with Gunjan Patil C03 973185: Monday 7:00p7:50p, AP&M 7421 with Fangyao Su C03 973186: Monday 8:00p8:50p, AP&M 7421 with Fangyao Su 
Final Exam time and place 
March 16th, 2020, 8:00am  11am. Place to be announced. 
Instructor 
Martin Licht
Email: mlicht AT ucsd DOT edu Office: AP&M 5880E Hours: Wednesday, 12pm. 
Teaching Assistant 
David Lenz
Email: dlenz AT ucsd DOT edu Office Hours: T 1pm2pm W 10am11am, AP&M 5760 
Teaching Assistant 
Gunjan, Patil
Email: ggpatil AT ucsd DOT edu Office Hours: Th 5pm6pm, MHA 5722 
Teaching Assistant 
Fangyao Su
Email: f2su AT ucsd DOT edu Office Hours: M 9:30am12:00pm, F 1pm2:30pm, AP&M 6452 
Section(s)  973183, 973184, 973185, 973186 
Credit Hours:  4 units 
Course content  Rounding and discretization errors. Calculation of roots of polynomials and nonlinear equations. Interpolation. Approximation of functions. Knowledge of programming recommended. 
Formal prerequesite  Math 170A. 
Homework information  Homework will announced on Fridays after lecture. Homework can be submitted to the mailboxes (AP&M basement) on Fridays before 3:30pm. All submissions must be in handedin in handwritten form. 
Academic Integrity  Every student is expected to conduct themselves with academic integrity. Violations of academic integrity will be treated seriously. See http://wwwsenate.ucsd.edu/manual/Appendices/app2.htm for UCSD Policy on Integrity of Scholarship. 
Resources 
The textbook for this lecture is:

Helpful links 
A+  A  A  B+  B  B  C+  C  C 
100  96.66  96.65  93.33  93.32  90.00  89.99  86.66  86.65  83.33  83.32  80.00  79.99  76.66  76.65  73.33  73.32  70 
Lecture  Content 

# 1, 1M 06.01.2020. 
Administrativa.
Examples and Motivation.
Limits, continuity, differentiability. Fundamental theorem of calculus. Mean value theorem. 
# 2, 1W 08.01.2020. 
Taylor theorem. Remainder formulas. Error estimates. 
# 3, 1F 10.01.2020. 
Multivariate functions. Multivariate Taylor formula. Error estimates. 
# 4, 2M 13.01.2020. 
Nonlinear approximation algorithms: bisection method, error estimate. 
# 5, 2W 15.01.2020. 
Nonlinear approximation algorithms: newton method, error estimate. 
# 6, 2F 17.01.2020. 
Nonlinear approximation algorithms: multivariate newton method, error estimate.
Homework 1 & 2 announced. 
# 7, 3M 20.01.2020. 
Martin Luther King, Jr. Holiday 
# 8, 3W 22.01.2020. 
Nonlinear approximation algorithms: secant method, error estimate. 
# 9, 3F 24.01.2020. 
Review of nonlinear approximation methods. Applications in optimization. 
#10, 4M 27.01.2020. 
Lagrange interpolation: problem setting. monomial basis. vandermonde matrix. 
#11, 4W 29.01.2020. 
Lagrange interpolation: newton basis. triangular vandermonde matrix. 
#12, 4F 31.01.2020. 
Midterm
Homework 1 & 2 collected. Homework 3 & 4 announced. 
01.02.2020: Deadline to change grading option, change units, and drop classes without "W" grade on transcript.  
#13, 5M 03.02.2020. 
Lagrange interpolation: lagrange basis. diagonal vandermonde matrix. Review of different interpolation bases. 
#14, 5W 0502.2020. 
Lagrange interpolation: classical error estimates. 
#15, 5F 07.02.2020. 
Lagrange interpolation: NewtonCotes formulas. 
#16, 6M 10.02.2020. 
Midterm. 
#17, 6W 12.02.2020. 
Hermite interpolation: problem setting. relation to Taylor and Lagrange interpolation. 
#18, 6F 14.02.2020. 
Monomial basis. Newton basis. Lagrange basis.
Homework 3 & 4 collected. Homework 5 & 6 announced. 
15.02.2020: Deadline to drop with "W" grade on transcript.  
#19, 7M 17.02.2020. 
Presidents' Day Holiday 
#20, 7W 19.02.2020. 
Divided differences. 
#21, 7F 21.02.2020. 
Numerical integration: problem setting.

#22, 8M 24.02.2020. 
Numerical integration based on Interpolation. 
#23, 8W 26.02.2020. 
Numerical integration based on Interpolation. 
#24, 8F 28.02.2020. 
Numerical differentiation.
Homework 5 & 6 collected. Homework 7 & 8 announced. 
#25, 9M 02.03.2020. 
Numerical differentiation. 
#26, 9W 04.03.2020. 
Numerical differentiation. 
#27, 9F 06.03.2020. 
Numerical Integration: Gauss quadrature.
Homework 7 & 8 collected. Practice Material for Final available.. 
#28,10M 09.03.2020. 
TBA 
#29,10W 11.03.2020. 
TBA 
#30,10F 13.03.2020. 
Review. 
FI 16.03.2020. 
Final Exam. 8am  11am. Place to be announced. 