Prof. Sarah Gille

sgille at ucsd.edu

class meets Monday, Wednesday, Friday: 10:00-10:50 am, Sequoyah 148

office hours on main campus: 473 EBUII Monday and Wednesday mornings from 8:30 until 9:45 or by appointment. phone: 858-822-4915

I'm also available before and after class and by e-mail.

office at Scripps: 348 Nierenberg Hall phone: 858-822-4425. (Make an appointment to make sure that I'm available.)

No textbook. Assigned reading will be available as hand outs and/or through electronic reserves.

March 28:Introduction to the course. Suggested reading: Press et al., Statistical Description of Data. 14.0, 14.1, 14.2.

March 30:Basic statistics: means, medians, modes and all that. (Lecture images.)

April 1:Computer session EBUII 239. Getting started with Matlab. Homework 1 assigned.

April 4:More on variances. Probability density functions. Suggested reading: Bevington and Robinson, Ch. 1-2.

April 6:Computing means, variances from PDFs.

April 8: Computer session EBUII 239. More Matlab tips. Homework 1 due. Homework 2 assigned.

April 11:Central limit theorem. Errors on the mean. Estimating errors. Suggested reading: Taylor, Ch. 3.

April 13:Error propagation.

April 15:What happens if errors aren't Gaussian? Correlation. Suggested reading: Press et al. 14.5. Homework 2 due. Homework 3 assigned.

April 18:What makes a correlation significant? Autocorrelation.

April 20:Decorrelation and degrees of freedom.

April 22:Least-squares fits: defining the problem. Matlab and linear algebra. Suggested reading: Wilks, Ch. 6, Press et al., Modeling of Data, 15.0, 15.1, 15.2, 15.3, 15.4. Homework 3 due. Homework 4 assigned.

**Week 5:**

April 25:Least-squares fits: finding solutions.

April 27:Review.

April 29:Midterm.

May 2:Least-squares fits: weighted fits.

May 4:More weighted least-squares fits; estimating uncertainties.

May 6:Goodness of fit. Does adding an extra parameter help? Homework 4 due. Homework 5 assigned.

**Week 7: **

May 9:Fitting complex quantities. Sinusoidal variability. Suggested reading: Press et al., Modeling of Data, 15.7

May 11:Spectral analysis. Fourier Transforms. Suggested reading: Chatfield, Ch. 7; Press et al., Fast Fourier Transform, 12.0 12.1 12.2

May 13:The Fast Fourier Transform. Homework 5 due. Homework 6 assigned.

**Week 8: **

May 16:Spectra and Uncertainties.

May 18:Windowing, filters, and spectra.

May 20:Coherence. Homework 6 due. Homework 7 assigned. Suggested reading: Chatfield, Ch. 8

May 23:Two-dimensional spectra.

May 25:Empirical orthogonal functions. Suggested reading: Wilks, Ch. 9.3

May 27:How EOFs differ from spectra. Homework 7 due. Homework 8 assigned.

May 30: Memorial Day. No Class

June 1:Uncertainty and EOFs. Summary

June 3:Exam review. Homework 8 due.

Exams, course grades, and uncollected problem sets available from Bruno Etchepare, EBU-II Room 573.