# Introductory Analysis lecture slides

I will be teaching an introductory analysis course (see topics below) and I need some source-code Latex slides or PPT slides, and am willing to choose my textbook based on these slides (rather than, traditionally, the other way around).

Edit: apparently people want to chime in on teaching philosophy. Many publishers include pre-made lecture slides, which go along with the book, that instructors can edit to their needs (hence my request for open source slides). Examples: Pearson includes sets for many math and physics titles; Cengage includes sets with their math titles.

I am simply looking for introductory analysis slides; and by extension, the textbook these slides would fit with. The slides are more important than the textbook; hence why I consider the slides the first priority, and the textbook can follow from that.

(Topics: Sets of Natural Numbers, Rational Numbers, Real Numbers, Completeness Axiom, Sequences, Limit Theorems for Sequences, Monotone Sequences and Cauchy, Sequences, Series, Alternating Series and Integral Tests, Continuity, Properties of Continuous Functions, Sequences and Series Functions, Uniform Convergence, Differentiation and Integration of Power Series, Mean Value Theorem, L’Hopital Rule, Taylor Theorem, Integration)

• There seems to be an unstated assumption here that this is a reasonable way to approach teaching.
– user507
Commented May 4, 2020 at 16:57
• Maybe I'm missing some cultural context, but if the students are already going to be reading and studying from a required textbook, why do you need formal content in slides? Write slides yourself that fill in what you believe they'll have difficulty with -- I assume you have some idea what their background is and what their ability level is, certainly more than random people on the internet would have. Things like what happens if you switch quantifer order in some of the definitions, motivating examples for the concept, standard strategies for solving problems and proving theorems, etc. Commented May 4, 2020 at 19:08
• As an example (not real analysis, however) of my last sentence, see the various comments I made and safety checks I used in the following ODE solution. Or maybe something like this or this, which are real analysis related. I'm not suggesting you actually try to work in these specific real analysis topics, by the way, but rather I'm using them as examples of how you might want to supplement the textbook as appropriate for your students. Commented May 4, 2020 at 19:21
• Hey... check this out: link.springer.com/… (FREE BOOK!) Commented May 5, 2020 at 4:05
• I don't meant to be rude, but, at the possibility of causing offense: when I am asked to teach a class, it is assumed that I will prepare my own course. If I want to use slides, then I will prepare them myself. It seems that you are kind of asking MESE to "do your homework" for you. Commented May 5, 2020 at 19:28