Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [lecture-notes]

For any and all mathematics pertinent to collegiate, scholarly, or any other academic lecture notes.

37 questions
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High-dimensional probability notes — van Handel vs Vershynin

In Ramon van Handel's notes, he writes: I highly recommend the book in progress (as of 2016) by Roman Vershynin for a wonderful introduction to high-dimensional probability and its applications from a very different perspective than the one taken…
keej
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2 answers

Spoof lecture for beginning first year undergraduates

I have been tasked with performing a "spoof" lecture for the new math undergraduates at my school. It is supposed to be a bit intimidating and confusing, but not too bad, and still humourous (at least for those that understand the stuff). I also…
LetGBeTheGraph
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5
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2 answers

How do you efficiently take notes?

I've recently realized how ineffective my notetaking strategy is, especially in proof-based classes. Generally, I copy every word that professors write on the board, but this is not allowing me to process the information well. However, I'm always…
Emilee
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2 answers

Lecture notes on Ergodic Theory.

I am looking for a good lecture notes on Ergodic Theory. It should be self sufficient and easy for someone who is taking the course for the first time and for self reading.
User8976
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4
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Book/Note recommendation for topology on spaces of matrices

Recently I have faced two questions, which are solved in this website. One is to show that the space of orthogonal matrices is compact, another one is to show that the space of nilpotent matrices is connected. I want to study and solve problems like…
delusional.existence
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4
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1 answer

Derivation of term conversion rule

I've started to read Egbert Rijke's HoTT lecture notes which can be found here. In the first lecture, some inference rules and structural rules are given, and in Exercise 1.1 it is asked to derive following term conversion rule using the rules given…
phdstudent
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4
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3 answers

How can high-school students learn mathematics on their own?

I am a ninth grader and I would like to learn mathematics on my own. I have already learned algebra, geometry, trigonometry, some precalculus, number theory and tried to understand some calculus. Apart from those I learnt a bit from other areas of…
Rose2357
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1 answer

Reference/Lecture notes on operational / functional calculus

Is there any lecture notes / books you can suggest for operational calculus? I just came across it, and I'm kinda of curious, I'm not sure I'm confusing it with "functional calculus" Thanks
user8469759
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Independence of z and z* in Wirtinger derivatives

In a lecture about complex analysis, I was introduced to the Wirtinger derivatives $\frac{\partial}{\partial z}$ and $\frac{\partial}{\partial \bar{z}}$. They can be expressed as $\partial_z = \frac{1}{2}(\partial_x-i\partial_y)$ $\partial_\bar{z} =…
theta_phi
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Learning Riemannian Geometry

I would like to add standard knowledge from a first Riemannian geometry class to my tool belt. Textbooks are great, but I often find I have trouble knowing what topics to focus on and what topics a professor might just glaze over. So I find myself…
JMM
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Short document/slides on basic definitions and results probability theory

I'm looking for a compact set of notes/slides that state the most important definitions and results in probability theory and stochastic processes. In particular, the target audience is master's students in engineering/CS that don't have a…
BasicUser
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1 answer

Prerequisites/lecture notes for V. Arnold's PDE

I could not understand Lectures on Partial Differential Equations pass the first chapter, even if I have taken a course in pure math PDE (proving that convolving with the heat kernel is actually convergent, mean value property, maximum principle,…
MaudPieTheRocktorate
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How do you like to take / store math notes?

I always have difficulty with things like this but how do you like to take and store notes for later reference? Paper and pencil? Physical books? Online notes? Where do you like to write them / upload them / store them?
user525966
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Modular arithmetic for a generic and efficient divisibility rule

I'm new to number theory, however, I wanted to do a course in cryptography that requires me to have understood a decent amount of number theory. I started watching a course on Coursera. I did not understand the part where the professor explains the…
rranjik
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Element conversion rule in HoTT

I've just started reading Rijke's lecture notes on homotopy type theory. In the derivation of the element conversion rule posted here, the user infers $\Gamma \vdash A' \; \text{type}$ from $\Gamma \vdash A \doteq A' \; \text{type}$. The inference…
Viktor Glushkov
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