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 4	Introduction to Calculus of Variations	SG1, BF2, AWH22
M Sep 9	Endpoint Variation, Noether’s Theorem	SG1, BF2, AWH22
W Sep 11	More Noether’s Theorem, Continuous Systems	SG1, BF2, AWH22
M Sep 16	More Continuous Systems, Constraints	SG1, BF2, AWH22
W Sep 18	More Constraints. Vectors, Covectors	SG10, AvD L10 and V
M Sep 23	Metrics and Tensors	SG10, AvD L10 and V
W Sep 25	More Tensors	SG10, AvD L10 and V
M Sep 30	Manifolds, Tangent Bundles and Lie Derivatives; Review	SG11, AvD L10 and V, C2
W Oct 2	Midterm 1	…
M Oct 7	Differential Forms I	SG11, AvD L10 and V, C2
W Oct 9	Differential Forms II	SG11, AvD L10 and V, C2
M Oct 14	–	Indigeneous People’s Day
T Oct 15	Integrating Forms	Substitute Monday schedule. SG11, AvD L10 and V, C2
W Oct 16	Volume Forms and Stokes’ Theorem; Complex Numbers Refresher	SG11, AvD L10 andV, C2; CB1–11
M Oct 21	Complex Functions & Derivatives; Cauchy-Riemann Equations	CB12–36
W Oct 23	Contour Integration, Modulus Inequality, Antiderivatives	CB37–44
M Oct 28	Review	…
W Oct 30	Midterm 2	…
M Nov 4	Cauchy-Goursat Theorem; Series Representations	CB46–67
W Nov 6	Residues & Poles; Residue Theorem & Applications	CB68–81
M Nov 11	Complex Integration with Branch Cuts; Dirac Delta Function, Fourier Series	AvD C6
W Nov 13	Fourier Transform	CB82–84; AvD C6
M Nov 18	Convolution Theorem; Probability Density Functions	AvD C6; Co1-2
W Nov 20	Probability Density Functions; Statistical Tests	Co3-4
M Nov 25	Parameter Estimation	Co5,6,9
W Nov 27	–	Thanksgiving Break
M Dec 2	Parameter Estimation; Bayesian Statistics	Co5,6,9
W Dec 4	Review	…
M Dec 9	Final	…