Department of Mathematics
Box 395 Boulder, CO 80309 Office: Math 223 Email: thomas.gassert at colorado.edu |

## Spring 2015## Analysis (Math 3001)Text: Stephen Abbott'sUnderstanding Analysis, Springer, 2000.
Syllabus |
## ResourcesProof writing tipsLaTeX guide LaTeX template ## Worksheets1. Intro to proof2. Subsets of the real line 3. Supremum and infemum 4. Sequences 5. Limits of sequences 6. Cauchy sequences 7. Series 8. Open and closed sets 9. Compact sets 10. Functional limits 11. Continuous functions 12. Uniform continuity 13. Derivatives 14. Mean value theorem 15. Riemann integration 16. Properties of integrals 17. Sequences of functions 18. Series of functions ## HomeworkHomework 1Homework 2 Homework 3 Homework 4 Homework 5 Homework 6 Homework 7 Homework 8 Homework 9 Homework 10 Homework 11 Homework 12 Homework 13 Homework 14 ## Additional resourcesLimits with birdsCantor set |