MATH 3515 - Analysis 1
Course Description: Structure of R1 and Rn; compactness and connectedness; continuity, differentiability and integrability in Rn. Prerequisites: MATH 2411 or 2511; MATH 2813. 4 credits
Note: This course will make use of the Online Material for "Interactive Real Analysis". You will also need the Dyknow software installed on your laptop.
Resources
Exams
Lecture Notes
- 29: Power Series
- 28: Function sequences
- 27: Fund Theorem of Calc
- 26: R-Integrable Functions
- 25: Riemann Integral
- 24: Riemann Sums
- 23: Differentiation
- 22: Cont, topo, and diff
- 21: Encryption
- 20: Continuity
- 19: Limits of functions
- 18: Connected and disc. sets
- 17: Perfect Sets, Cantor Set
- 16: More Topology
- 15: Topology
- 13: Highlights
- 12: Convergence tests
- 11: More series
- 10: Infinite Series
- 09: Bolzano-Weierstrass, lim sup
- 08: Sequences
- 07: Cantor's Diag Argument
- 06: Real numbers
- 05: Cardinality (part 2)
- 04: Cardinality (part 1)
- 03: Integers and Rationals
- 02: Equivalence relations
- 01: Intro, sets, and proofs
Quizzes & Assignments
- Highlights
- 07: homework 07
- 06: homework 06
- 05: homework 05
- 04: homework 04
- 03: homework 03
- 02: homework 02
- 01: homework 01