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When designing slides for a class I am teaching, I like to derive inspiration from slides others have given before me. However, it is difficult to find concrete examples of such slides outside of a typical Google search. Can you give me examples of slides you or your colleagues have given for entire classes?

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    $\begingroup$ What sort of presentations? Do you mean slides for teaching class, or slides for giving talks? $\endgroup$
    – Jim Belk
    Mar 18, 2014 at 2:43
  • $\begingroup$ Teaching. I will edit the question to reflect that. $\endgroup$ Mar 18, 2014 at 2:44
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    $\begingroup$ This question now has three votes to close. I'm not saying I disagree, but it may be helpful if one of the voters could explain their reasoning in a comment. $\endgroup$
    – Jim Belk
    Mar 18, 2014 at 5:10
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    $\begingroup$ I have no idea why this question was closed. In my opinion, specific examples of good practice are far more valuable than generalised discussion. I would love to see a collection of examples that people consider to be good. Community wiki would be appropriate of course. I have voted to reopen. $\endgroup$ Mar 22, 2014 at 7:17
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    $\begingroup$ I agree with you, @mkasberg. I feel that the answers should include an explanation on how to deliver the presentation properly, or provide the actual lecture (via YouTube for instance). $\endgroup$ Mar 23, 2014 at 16:32

3 Answers 3

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I am happy to share my Beamer slides, available through each course webpage at my homepage. The courses that have slides are:

  • Combinatorics: A course in enumeration, including simple counting, combinatorial proofs, bijective combinatorics, and generating functions. The page also has information about the structure of the course project involving individual research and poster presentation. (Example set of notes)
  • Graph Theory: Basic graph theory, graph statistics and properties, coloring, planarity, graph algorithms. There is a course project where students research and write about mathematicians. (Example set of notes)
  • Mathematical Modeling: The focus is on the modeling process from start to finish. Students learn to use Mathematica and apply it to function fitting, probabilistic models, queuing theory, and linear optimization. The course project is a group research project where students take some real world situation and try to understand it mathematically. (Example set of notes)
  • Multivariable Calculus: Parametric and Polar curves, including area and arc length. Vectors, vector functions, functions of multiple variables, gradients, multiple integrals. These notes are the most newly created (as of 2014), so they have a more advanced use of color and graphics. In this example I use color to explain the chain rule and include graphics about the directional derivative.

Slides are broken down by lecture and are intended to encourage active learning by leaving out certain details and examples that will be worked out on the board. Students download the notes before class and bring them to class on paper or on their electronic devices.

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Below is a list of slides assembled by the community, organized by subject area.

Algebra and Combinatorics

Analysis, Geometry, and Topology

Mathematical Biology

Mathematical Physics

Numerical Analysis and Scientific Computing

Optimization and Control

Ordinary Differential Equations and Dynamical Systems

Partial Differential Equations

(Pre)Calculus

Probability, Stochastic Processes, and Financial Mathematics

Symbolic Computation

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  • $\begingroup$ @AndrásBátkai no problem. I will delete mine too. $\endgroup$
    – quid
    Mar 24, 2014 at 20:32
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Material for all my courses is at http://neil-strickland.staff.shef.ac.uk/courses/. For the following courses, there are complete sets of lecture slides:

  • Methods for differential equations: I will be teaching this in Nanjing starting next week, so there are various bits of Chinese in the slides. There are a large number of diagrams, often with some kind of animation. Separate from the slides, there are also web pages with interactive animations of phase portraits.
  • Mathematics IV (Electrical): This is basically vector calculus for electrical engineers. Again, there are many diagrams, often with some kind of animation. Separate from the slides, there are also web pages with three-dimensional diagrams that can be rotated by mouse.
  • Linear mathematics for applications: In this case, only the handout version of the slides is currently on the web. Various bits of these handouts have been blanked out and replaced with light green patches. The students were encouraged to work out for themselves what should go in those patches, or failing that, fill them in during the lecture. Some of my colleagues have been using that system for a while, but last semester was the first time I tried it. I am not sure how successful it was.
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