Канал: Rachel Arnold

1.5 Activity - Discussion

1.5 Activity - Discussion

Lecture 7.3 - Inverses

Lecture 7.3 - Inverses

4.2 Example - Determining a Local Bound

4.2 Example - Determining a Local Bound

Lecture 15.2 Example 5

Lecture 15.2 Example 5

“Necessary” versus “Sufficient”

“Necessary” versus “Sufficient”

4.4 Example: The Sequential Criterion for the Absence of Uniform Continuiity

4.4 Example: The Sequential Criterion for the Absence of Uniform Continuiity

Intellectual Need

Intellectual Need

6.2 Uniform Convergence of a Sequence of Functions: Uniform Convergence

6.2 Uniform Convergence of a Sequence of Functions: Uniform Convergence

6.2 Uniform Convergence of a Sequence of Functions: Pointwise Convergence

6.2 Uniform Convergence of a Sequence of Functions: Pointwise Convergence

Chapter 3: An Introduction to Topology

Chapter 3: An Introduction to Topology

2.6 The Cauchy Criterion: Cauchy Implies Convergent

2.6 The Cauchy Criterion: Cauchy Implies Convergent

2.6 The Cauchy Criterion: Convergent Implies Cauchy

2.6 The Cauchy Criterion: Convergent Implies Cauchy

2.6 The Cauchy Criterion: Introduction

2.6 The Cauchy Criterion: Introduction

2.5 Subsequences and the Bolzano-Weierstrass Theorem: BW

2.5 Subsequences and the Bolzano-Weierstrass Theorem: BW

2.5 Subsequences and the Bolzano-Weierstrass Theorem: Subsequences

2.5 Subsequences and the Bolzano-Weierstrass Theorem: Subsequences

2.4 The Monotone Convergence Theorem: MCT

2.4 The Monotone Convergence Theorem: MCT

2.3 The Algebraic and Order Limit Theorems: OLT

2.3 The Algebraic and Order Limit Theorems: OLT

2.3 The Algebraic and Order Limit Theorems: ALT

2.3 The Algebraic and Order Limit Theorems: ALT

2.3 The Algebraic and Order Limit Theorems: Boundedness

2.3 The Algebraic and Order Limit Theorems: Boundedness

2.2 The Limit of a Sequence: Divergence

2.2 The Limit of a Sequence: Divergence

1.5 Cardinality: Intervals

1.5 Cardinality: Intervals

1.5 Cardinality: The Reals and the Rationals

1.5 Cardinality: The Reals and the Rationals

1.5 Cardinality: Introduction

1.5 Cardinality: Introduction

1.4 The Density of Q in R: Case 3

1.4 The Density of Q in R: Case 3

1.4 Consequences of Completeness: The Nested Interval Property

1.4 Consequences of Completeness: The Nested Interval Property

1.3 Examples - Explanation of Solution to (d)

1.3 Examples - Explanation of Solution to (d)

1.3 Axiom of Completeness - Lecture 2

1.3 Axiom of Completeness - Lecture 2

Introduction to Chapter 1: Real Numbers

Introduction to Chapter 1: Real Numbers

Measuring Distances

Measuring Distances

Set Theory Review

Set Theory Review

5.3 The Mean Value Theorems: MVT

5.3 The Mean Value Theorems: MVT

5.3 The Mean Value Theorems: Rolle’s Theorem

5.3 The Mean Value Theorems: Rolle’s Theorem

4.5 - The Intermediate Value Theorem

4.5 - The Intermediate Value Theorem

4.4 Continuous Functions on Compact Sets - Proving Uniform Continuity By Theorem

4.4 Continuous Functions on Compact Sets - Proving Uniform Continuity By Theorem

4.2 Functional Limits: The Sequential Criterion for Functional Limits

4.2 Functional Limits: The Sequential Criterion for Functional Limits

3.3 Compact Sets: Introduction

3.3 Compact Sets: Introduction

3.2 Open and Closed Sets: The Relationship Between Open and Closed

3.2 Open and Closed Sets: The Relationship Between Open and Closed

3.2 Open and Closed Sets: Introduction to Closed Sets

3.2 Open and Closed Sets: Introduction to Closed Sets

3.2 Open and Closed Sets: Open Sets Continued

3.2 Open and Closed Sets: Open Sets Continued

3.2 Open and Closed Sets: Introduction to Open Sets

3.2 Open and Closed Sets: Introduction to Open Sets