Difference between revisions of "MAT3213"
Jump to navigation
Jump to search
(Expanded on week 11 topics.) |
(Minor improvements to 3213 topics.) |
||
| Line 129: | Line 129: | ||
* [[RealNumbers:Suprema of Subsets|Suprema of Subsets]] | * [[RealNumbers:Suprema of Subsets|Suprema of Subsets]] | ||
* [[RealNumbers:Infima of Subsets|Infima of Subsets]] | * [[RealNumbers:Infima of Subsets|Infima of Subsets]] | ||
| − | |||
* [[RealNumbers:Rational]] | * [[RealNumbers:Rational]] | ||
* [[RealNumbers:Irrational]] | * [[RealNumbers:Irrational]] | ||
| Line 203: | Line 202: | ||
|| <!--Topics--> | || <!--Topics--> | ||
| + | |||
* [[Sequences:Limit Laws]] | * [[Sequences:Limit Laws]] | ||
| + | * [[Sequences:Bounded when Convergent]] | ||
| + | * [[Sequences:Squeeze Theorem]] | ||
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| Line 267: | Line 269: | ||
* [[Theorem:Monotone Sequence]] | * [[Theorem:Monotone Sequence]] | ||
* [[Theorem:Bolzano-Weierstrass]] | * [[Theorem:Bolzano-Weierstrass]] | ||
| − | * [[Sequences: Limit Superior]] | + | * [[Sequences:Limit Superior]] |
| − | * [[Sequences: Limit Inferior]] | + | * [[Sequences:Limit Inferior]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
Revision as of 19:37, 15 August 2020
The textbook for this course is Introduction to Real Analysis by Bartle and Sherbert
A comprehensive list of all undergraduate math courses at UTSA can be found here.
The Wikipedia summary of Real Analysis.
Topics List
| Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes |
|---|---|---|---|---|
| Week 1 |
1.1 |
| ||
| Week 2 |
1.2 |
| ||
| Week 3 |
1.3 |
|
| |
| Week 3 |
2.1-2.2 |
| ||
| Week 3 |
2.3-2.4 |
| ||
| Week 4 |
2.5 |
| ||
| Week 5 |
3.1 |
| ||
| Week 6 |
3.2 |
|
| |
| Week 7 |
|
| ||
| Week 8 |
3.3 |
| ||
| Week 9 |
3.4 |
| ||
| Week 10 |
3.5-3.6 |
| ||
| Week 11 |
3.7 |
| ||
| Week 12 |
4.1 |
| ||
| Week 13 |
4.2 |
| ||
| Week 14 |
4.3 |
|
