Difference between revisions of "MAT3213"
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| Line 142: | Line 142: | ||
* [[Real Numbers:Sequences|Sequences]] | * [[Real Numbers:Sequences|Sequences]] | ||
* [[Real Numbers:Sequences|Sequences:Convergence]] | * [[Real Numbers:Sequences|Sequences:Convergence]] | ||
| − | * [[Sequences:Limits]] | + | * [[Real Numbers:Sequences|Sequences:Limits]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| Line 164: | Line 164: | ||
|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[Sequences:Tails]] | + | * [[Real Numbers:Sequences|Sequences:Tails]] |
| − | * [[Sequences:Limit Laws]] | + | * [[Real Numbers:Sequences|Sequences:Limit Laws]] |
| − | * [[Sequences:Bounded when Convergent]] | + | * [[Real Numbers:Sequences|Sequences:Bounded when Convergent]] |
| − | * [[Sequences:Squeeze Theorem]] | + | * [[Real Numbers:Sequences|Sequences:Squeeze Theorem]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[Sequences:Convergence]] | + | * [[Real Numbers:Sequences|Sequences:Convergence]] |
| − | * [[Sequences:Limits]] | + | * [[Real Numbers:Sequences|Sequences:Limits]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
| Line 205: | Line 205: | ||
|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[Sequences:Monotone]] | + | * [[Real Numbers:Sequences|Sequences:Monotone]] |
* [[Euler's Number]] | * [[Euler's Number]] | ||
| Line 212: | Line 212: | ||
* [[Proofs:Induction]] <!--- 3213-1.2 ---> | * [[Proofs:Induction]] <!--- 3213-1.2 ---> | ||
* [[Real Numbers:Bounded Subsets|Bounded Sets]] | * [[Real Numbers:Bounded Subsets|Bounded Sets]] | ||
| − | * [[Sequences:Limit Laws]] | + | * [[Real Numbers:Sequences|Sequences:Limit Laws]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
| Line 231: | Line 231: | ||
* [[Theorem:Monotone Sequence]] | * [[Theorem:Monotone Sequence]] | ||
* [[Theorem:Bolzano-Weierstrass]] | * [[Theorem:Bolzano-Weierstrass]] | ||
| − | * [[Sequences:Limit Superior]] | + | * [[Real Numbers:Sequences|Sequences:Limit Superior]] |
| − | * [[Sequences:Limit Inferior]] | + | * [[Real Numbers:Sequences|Sequences:Limit Inferior]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[Sequences:Monotone]] | + | * [[Real Numbers:Sequences|Sequences:Monotone]] |
| − | * [[Sequences:Limit Laws]] | + | * [[Real Numbers:Sequences|Sequences:Limit Laws]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
Revision as of 10:31, 13 October 2021
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 |
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| Week 2 |
1.2 & 1.3 |
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|
|
|
| Week 3 |
2.1-2.2 |
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| Week 4 |
2.3-2.4 |
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| Week 5 |
2.5 & 3.1 |
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| Week 6 |
3.2 |
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| Week 7 |
|
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| Week 8 |
3.3 |
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| Week 9 |
3.4 |
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| Week 10 |
3.5-3.6 |
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| Week 11 |
3.7 |
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| Week 12 |
4.1 |
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| Week 13 |
4.2 |
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| Week 14 |
4.3 |
|
