Difference between revisions of "MAT3213"
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(Rewrite up to Week 8.) |
(Topics until end of Chapter 3.) |
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* [[Functions:Composition]] | * [[Functions:Composition]] | ||
* [[Functions:Inverse]] | * [[Functions:Inverse]] | ||
| − | * [[Functions: | + | * [[Functions:Forward Image]] |
| − | * [[Functions: | + | * [[Functions:Inverse Image]] |
* [[Functions:Restriction]] | * [[Functions:Restriction]] | ||
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* [[RealNumbers:Sequences|Sequences]] | * [[RealNumbers:Sequences|Sequences]] | ||
* [[Sequences:Tails]] | * [[Sequences:Tails]] | ||
| + | * [[Sequences:Convergence]] | ||
* [[Sequences:Limits]] | * [[Sequences:Limits]] | ||
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* [[Theorem:Monotone Subsequence]] | * [[Theorem:Monotone Subsequence]] | ||
* [[Theorem:Bolzano-Weierstrass]] | * [[Theorem:Bolzano-Weierstrass]] | ||
| + | * [[Sequences: Limit Superior]] | ||
| + | * [[Sequences: Limit Inferior]] | ||
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
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|- | |- | ||
| − | | <!--Date--> Week | + | | <!--Date--> Week 10 |
|| <!--Sections--> | || <!--Sections--> | ||
| − | 3. | + | 3.5-3.6 |
|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[The | + | * [[Sequences:Cauchy|The Cauchy Criterion]] |
| − | + | * [[Sequences:Contractive]] | |
| − | + | * [[Sequences:Divergent]] | |
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|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[ | + | * [[Sequences:Convergence]] |
| − | * [[ | + | * [[Sequences:Subsequences]] <!--- 3213-3.4 ---> |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
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| − | + | | <!--Date--> Week 11 | |
| − | | <!--Date--> Week | ||
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|| <!--Sections--> | || <!--Sections--> | ||
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|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[ | + | * [[Series]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[ | + | * [[Sequences:Convergence]] <!--- 3213-3.1 ---> |
| − | * [[The Cauchy Criterion | + | * [[Sequences:Limits]] <!--- 3213-3.1 ---> |
| + | * [[Sequences:Cauchy|The Cauchy Criterion]] <!--- 3213-3.5 ---> | ||
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
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| <!--Date--> Week 12 | | <!--Date--> Week 12 | ||
Revision as of 14:46, 14 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 12 |
4.1 |
| ||
| Week 12/13 |
4.1 |
| ||
| Week 13 |
4.2 |
| ||
| Week 14 |
4.3 |
| ||
| Week 14/15 |
4.3 |
|
