MATH-UA 325 Analysis 1 Fall 2023 Calendar
Week Date Topics  
1 Tuesday
9/5/2023
  • 0.3: Basic Set Theory
  • Deductive Logic
 Slides
Thursday
9/7/2023
  • Quantifiers
  • 0.3.2: Mathematical Induction
  • 0.3.3: Functions and Maps
  • 0.3.4: Equivalence Relations
 Slides
2 Tuesday
9/12/2023
  • 1.1, 1.2: Basic Properties of Reals
 Slides
Thursday
9/14/2023
  • 1.2: The Set of Reals
  • 1.3: Absolute Value and Bounded Functions
  • 1.4: Intervals
 Slides
3 Tuesday
9/19/2023
  • 2.1: Sequences and Limits
 Slides
Thursday
9/21/2023
  • 2.1: Sequences and Limits
 Slides
4 Tuesday
9/26/2023
  • 2.1: Subsequences
  • 2.2: Facts About Limits of Sequences
 Slides
Thursday
9/28/2023
  • 2.2: Facts About Limits of Sequences
 Slides
5 Tuesday
10/3/2023
  • 2.3: \(\limsup\), \(\liminf\)
 Slides
Thursday
10/5/2023
  • 2.3: Bolzano-Weierstrass Theorem
  • 2.4: Cauchy sequence
 Slides
6 Tuesday
10/10/2023		 No class  
Thursday
10/12/2023
  • 2.4: Cauchy sequence
  • Open and Closed Subsets of \(\mathbb{R}\)
  • 2.5 Geometric Series
 Slides
7 Tuesday
10/17/2023
  • 2.5 Series
 Slides
Thursday
10/19/2023
  • 2.5 Series
  
8 Tuesday
10/24/2023
  • 2.5 Series
 Slides
Thursday
10/26/2023
    Midterm
 
9 Tuesday
10/31/2023
  • 2.6.5: Power Series
  • 3.2: Continuous
 Slides
Thursday
11/2/2023
  • 3.2: Continuous Functions
  • 3.1: Limits of Functions
 Slides
10 Tuesday
11/7/2023
  • Compact Subsets of \(\mathbb{R}\)
 Slides
Thursday
11/9/2023
  • 3.3: Intermediate Value Theorem
 Slides
11 Tuesday
11/14/2023
  • Properties of Continuous Functions
 Slides
Thursday
11/16/2023
  • 3.3: Extreme Value Theorem
  • 4.1: Derivative of a Function
 Slides
12 Tuesday
11/21/2023
  • 4.2: Mean Value Theorem
 Slides
Thursday
11/23/2023		 No class  
13 Tuesday
11/28/2023
  • 4.3: Taylor's Theorem
 Slides
Thursday
11/30/2023
  • 4.4: Inverse Function Theorem
  • 5.1: Riemann Integral
 Slides
14 Tuesday
12/5/2023
  • 5.2: Riemann Sum
  • 5.2: Riemann Integral
 Slides
Thursday
12/7/2023
  • 5.3: Fundamental theorems of calculus
 Slides
15 Tuesday
12/12/2023
  • 5.4: Exponential and Logarithm Functions
 Slides
Thursday
12/14/2023
  • Complex Exponential Functions
 Slides
  Monday
12/18/2023
10am - 11:50am
CIWW 109 		Final