Syllabus

The syllabus is tentative and subject to changes and updates at any time.

Acronyms for references are as follows: SG - Stone & Goldbart; BF - Byron & Fuller; Sh - Shankar; AWH - Arfken, Weber & Harris; AvD - Altland & von Delft; C - Carroll; CB - Churchill & Brown; Co - Cowan. Numbers refer to relevant chapters.

Date	Topic	Notes
W Sep 3	Vectors, Covectors, Bases	SG10, AvD L10 and V
M Sep 8	Metrics	SG10, AvD L10 and V
W Sep 10	Tensors and Index Notation	SG10, AvD L10 and V
M Sep 15	Special Tensors	SG10, AvD L10 and V
W Sep 17	Tensor Decomposition, Diagonalization	SG10, AvD L10 and V / SGA7, AvD L7
M Sep 22	Introduction to Calculus of Variations	SG1, BF2, AWH22
W Sep 24	Endpoint Variation, Noether’s Theorem	SG1, BF2, AWH22
M Sep 29	More Noether’s Theorem, Continuous Systems	SG1, BF2, AWH22
W Oct 1	More Continuous Systems; Review	SG1, BF2, AWH22
M Oct 6	Midterm 1	…
W Oct 8	Constraints; Complex Numbers Refresher	SG1, BF2, AWH22 / CB1–11
M Oct 13	–	Indigeneous People’s Day
T Oct 14	Complex Functions & Derivatives, Cauchy-Riemann Equations	Substitute Monday schedule. CB12–36
W Oct 15	Contour Integration, Modulus Inequality, Antiderivatives	CB37–44
M Oct 20	Cauchy-Goursat Theorem, Series Representations	CB46–67
W Oct 22	Residues & Poles, Residue Theorem & Applications	CB68–81
M Oct 27	Residue Theorem & Applications Link to Zoom Lecture	CB68–81
W Oct 29	Integration with Branch Cuts & Review Link to Zoom Lecture Part 1 Link to Zoom Lecture Part 2	CB68–81
M Nov 3	Midterm 2	…
W Nov 5	Dirac Delta Function; Fourier Series	AvD C6
M Nov 10	Fourier Transform	CB82–84; AvD C6
W Nov 12	Convolution Theorem	AvD C6
M Nov 17	Probability	Co1
W Nov 19	Probability Density Functions	Co2
M Nov 24	Statistical Tests; Parameter Estimation	Co4–6
W Nov 26	–	Thanksgiving Break
M Dec 1	Maximum Likelihood Estimation	Co6
W Dec 3	Confidence Intervals; Bayesian Statistics	Co9
M Dec 8	Spare Lecture! + Review	…
W Dec 10	Final	…