Difference between revisions of "MAT3213"
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* [[Real Numbers]] | * [[Real Numbers]] | ||
| − | * [[ | + | * [[Real Numbers:Algebraic Properties]] |
| − | * [[ | + | * [[Real Numbers:Order]] |
| − | * [[ | + | * [[Real Numbers:Inequalities|Inequalities]] |
| − | * [[ | + | * [[Real Numbers:Absolute Value|Absolute Value]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| Line 110: | Line 110: | ||
|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[ | + | * [[Real Numbers:Completeness]] |
| − | * [[ | + | * [[Real Numbers:Archimedean Property|Archimedean Property]] |
| − | * [[ | + | * [[Real Numbers:Suprema of Subsets|Suprema of Subsets]] |
| − | * [[ | + | * [[Real Numbers:Infima of Subsets|Infima of Subsets]] |
| − | * [[ | + | * [[Real Numbers:Rational]] |
| − | * [[ | + | * [[Real Numbers:Irrational]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[ | + | * [[Real Numbers:Algebraic Properties]] |
| − | * [[ | + | * [[Real Numbers:Inequalities|Inequalities]] |
| − | * [[ | + | * [[Real Numbers:Order]] |
| − | * [[ | + | * [[Real Numbers:Absolute Value|Absolute Value]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
| Line 138: | Line 138: | ||
|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[ | + | * [[Real Numbers:Intervals|Intervals]] |
| − | * [[ | + | * [[Real Numbers:Cardinality]] |
| − | * [[ | + | * [[Real Numbers:Sequences|Sequences]] |
* [[Sequences:Convergence]] | * [[Sequences:Convergence]] | ||
* [[Sequences:Limits]] | * [[Sequences:Limits]] | ||
| Line 147: | Line 147: | ||
* [[Sets:Cardinality]] | * [[Sets:Cardinality]] | ||
| − | * [[ | + | * [[Real Numbers:Inequalities|Inequalities]] |
| − | * [[ | + | * [[Real Numbers:Bounded Subsets|Bounded Sets]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
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* [[Proofs:Induction]] <!--- 3213-1.2 ---> | * [[Proofs:Induction]] <!--- 3213-1.2 ---> | ||
| − | * [[ | + | * [[Real Numbers:Bounded Subsets|Bounded Sets]] |
* [[Sequences:Limit Laws]] | * [[Sequences:Limit Laws]] | ||
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|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[ | + | * [[Real Function Limits:Sequential Criterion|The Sequential Criterion for Limits]] |
| − | * [[ | + | * [[Real Function Limits:Divergence Criteria|Divergence Criteria]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
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|| <!--Topics--> | || <!--Topics--> | ||
| − | * [[ | + | * [[Real Function Limits:One-Sided|One-Sided Limits of Functions]] |
| − | * [[ | + | * [[Real Function Limits:Infinite|Infinite Limits of Functions]] |
| − | * [[ | + | * [[Real Function Limits:At Infinity|Limits of Functions at Infinity]] |
|| <!--Prerequisite Skills--> | || <!--Prerequisite Skills--> | ||
| − | * [[ | + | * [[Real Functions:Limits|Limits of Real Functions]] |
| − | * [[ | + | * [[Real Function Limits:Divergence Criteria|Divergence Criteria]] |
|| <!--Student Learning Outcomes--> | || <!--Student Learning Outcomes--> | ||
Revision as of 08:47, 12 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 |
| |||
| 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 |
|
| |||
| Week 8 |
3.3 |
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| Week 9 |
3.4 |
| |||
| Week 10 |
3.5-3.6 |
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| Week 11 |
3.7 |
| |||
| Week 12 |
4.1 |
| |||
| Week 13 |
4.2 |
| |||
| Week 14 |
4.3 |
|
