Difference between revisions of "MAT3213"

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(Minor improvements to 3213 topics.)
(Fixed pacing to try and fit in 14 weeks.)
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|| <!--Sections-->  
 
|| <!--Sections-->  
  
1.2
+
1.2 & 1.3
  
 
|| <!--Topics-->   
 
|| <!--Topics-->   
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* [[Proofs:Induction]]
 
* [[Proofs:Induction]]
 
* [[Induction:Variants]]
 
* [[Induction:Variants]]
 +
* [[Finite and Infinite Sets]]
 +
* [[Countable Sets]]
  
 
|| <!--Prerequisite Skills-->  
 
|| <!--Prerequisite Skills-->  
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* [[Mathematical Proofs]] <!--- 3213-1.1 --->
 
* [[Mathematical Proofs]] <!--- 3213-1.1 --->
 
* [[Sets:Operations]] <!--- 3213-1.1 --->
 
* [[Sets:Operations]] <!--- 3213-1.1 --->
 +
* [[Functions:Injective]]
 +
* [[Functions:Bijective]]
 +
  
 
|| <!--Student Learning Outcomes-->  
 
|| <!--Student Learning Outcomes-->  
  
<!-- ------------------------------------------------------------ -->
 
 
|-
 
 
| <!--Date--> Week 3
 
 
|| <!--Sections-->
 
 
1.3
 
 
|| <!--Topics-->
 
 
 
 
* [[Finite and Infinite Sets]]
 
* [[Countable Sets]]
 
 
|| <!--Prerequisite Skills-->
 
 
* [[Sets:Operations]]
 
* [[NaturalNumbers:Well Ordering]]
 
* [[Proofs:Induction]]
 
* [[Functions:Injective]]
 
* [[Functions:Bijective]]
 
  
 
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|| <!--Student Learning Outcomes-->  
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| <!--Date--> Week 3
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| <!--Date--> Week 4
  
 
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|-
 
|-
  
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| <!--Date--> Week 5
  
 
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|-
 
|-
  
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| <!--Date--> Week 6
  
 
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|-
 
|-
  
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| <!--Date--> Week 7
  
 
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|-
 
|-
  
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| <!--Date--> Week 8
  
 
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|-
 
|-
  
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| <!--Date--> Week 9
  
 
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|-
 
|-
  
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| <!--Date--> Week 10
  
 
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|-
 
|-
  
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| <!--Date--> Week 11
  
 
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|-
 
|-
  
| <!--Date--> Week 11
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| <!--Date--> Week 12
  
 
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|-
 
|-
  
| <!--Date--> Week 12
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| <!--Date--> Week 13
  
 
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| <!--Date--> Week 13
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| <!--Date--> Week 14
  
 
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|| <!--Sections-->  
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* [[Sequences:Convergence]] <!--- 3213-3.1 --->
 
* [[Sequences:Convergence]] <!--- 3213-3.1 --->
 
* [[Sequences:Limits]] <!--- 3213-3.1 --->
 
* [[Sequences:Limits]] <!--- 3213-3.1 --->
 
|| <!--Student Learning Outcomes-->
 
 
<!-- ------------------------------------------------------------ -->
 
 
|-
 
 
| <!--Date--> Week 14
 
 
|| <!--Sections-->
 
 
4.3
 
 
|| <!--Topics-->
 
 
* [[RealFunctionLimits:One-Sided|One-Sided Limits of Functions]]
 
* [[RealFunctionLimits:Infinite|Infinite Limits of Functions]]
 
* [[RealFunctionLimits:At Infinity|Limits of Functions at Infinity]]
 
 
|| <!--Prerequisite Skills-->
 
 
* [[RealFunctions:Limits|Limits of Real Functions]]
 
  
 
|| <!--Student Learning Outcomes-->  
 
|| <!--Student Learning Outcomes-->  

Revision as of 17:01, 16 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 & 1.3




Week 3

2.1-2.2


Week 4

2.3-2.4


Week 5

2.5


Week 6

3.1


Week 7

3.2



Week 8
  • Review
  • Midterm exam


Week 9

3.3


Week 10

3.4


Week 11

3.5-3.6


Week 12

3.7


Week 13

4.1


Week 14

4.2