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; Ca - Carroll; CB - Churchill & Brown; Co - Cowan. Numbers refer to relevant chapters.

Date&nbsp	Topic	Notes
W Sep 2	Vectors, Covectors, Bases	SG10, AvD L10 and V, Ca
M Sep 7	–	Labor Day
W Sep 9	Metrics	SG10, AvD L10 and V, Ca
M Sep 14	Tensors and Index Notation	SG10, AvD L10 and V, Ca
W Sep 16	Special Tensors	SG10, AvD L10 and V, Ca
M Sep 21	Tensor Decomposition, Diagonalization	SG10, AvD L10 and V, Ca / SGA7, AvD L7
W Sep 23	Diagonalization, Introduction to Calculus of Variations	SGA7, AvD L7 / SG1, BF2, AWH22
M Sep 28	Examples Using Calculus of Variations, Endpoint Variation	SG1, BF2, AWH22
W Sep 30	Noether’s Theorem, Continuous Systems	SG1, BF2, AWH22
M Oct 5	More Continuous Systems; Constraints	SG1, BF2, AWH22
W Oct 7	Review; Complex Numbers Refresher	SG1, BF2, AWH22 / CB1–11
M Oct 12	–	Indigeneous People’s Day
T Oct 13	Midterm 1	Substitute Monday schedule.
W Oct 14	Complex Functions & Derivatives, Cauchy-Riemann Equations	CB12–36
M Oct 19	Contour Integration, Modulus Inequality, Antiderivatives	CB37–44
W Oct 21	Cauchy-Goursat Theorem, Series Representations	CB46–67
M Oct 26	Residues & Poles, Residue Theorem & Applications	CB68–81, (Remote)
W Oct 28	Residue Theorem & Applications	CB68–81, (Remote)
M Nov 2	Integration with Branch Cuts; Review	CB68–81, (Midterm 2 Nov 5–6)
W Nov 4	Dirac Delta Function, Fourier Series	AvD C6, (Midterm 2 Nov 5–6)
M Nov 9	Fourier Transform	CB82–84; AvD C6
W Nov 11	Convolution Theorem, Parseval’s Theorem	AvD C6
M Nov 16	Probability	Co1
W Nov 18	Probability Density Functions	Co2
M Nov 23	Statistical Tests; Parameter Estimation	Co4–6
W Nov 25	–	Thanksgiving Break
M Nov 30	Maximum Likelihood Estimation	Co6
W Dec 2	–	Class Canceled
M Dec 7	Confidence Intervals; Bayesian Statistics	Co9
W Dec 9	Review	–