MATH 242: Analysis 1 (McGill Final)

Currently Playing: Combinations of Uniformly Continuous Functions | Real Analysis Exercises

Support the production of this course by joining Wrath of Math to access all my Real Analysis videos plus lecture notes at the premium tier! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Check out my math fashion brand! https://mathshion.com/ Real Analysis course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC Get the textbook! https://amzn.to/4lNpyNN Business Inquiries: wrathofmathlessons@gmail.com We investigate when combinations of uniformly continuous functions produce new uniformly continuous functions. We will look at sums of uniformly continuous functions, products of uniformly continuous functions, quotients of uniformly continuous functions, and compositions of uniformly continuous functions. #realanalysis Uniform continuity: https://youtu.be/MmxtJwr3Kws Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu 0:00 Intro 1:08 f+g 3:22 f*g 4:06 f/g 4:43 f(g) 6:18 Conclusion