Harvey Mudd College

1 course · 2 standalone talks · 24 total lectures · 3 faculty & speakers · 28h recorded

Mathematics History & Humanities

Faculty & visiting speakers

Francis Su22 Darryl Yong1 Robert Borrelli & Courtney Coleman1

Courses from Harvey Mudd College

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Complete university courses recorded at Harvey Mudd College.

Harvey Mudd Math 131: Real Analysis

Harvey Mudd College · MATH 13122 lectures · 25h

Mathematics·undergraduate

Real Analysis

Prof. Francis Su·Harvey Mudd College

Dedekind cuts construction of the reals, metric space topology, compactness, Heine-Borel theorem, connected sets, Cauchy sequences, uniform continuity, and function spaces.

Start lecture 1

Talks & colloquia from Harvey Mudd College

2

Self-contained seminars, public lectures, and invited talks.

Forty Years of Differential Equations in the Claremont Colleges

Mathematics·Standalone Lecture

Forty Years of Differential Equations in the Claremont Colleges

Robert Borrelli & Courtney Coleman·Harvey Mudd College

A historical perspective on the evolution of differential equations curriculum at Harvey Mudd College, detailing pedagogical shifts and milestones over four decades.

Practical Strategies for Implementing Group Work in the Flipped Classroom

History·Conference Talk

Practical Strategies for Implementing Group Work in the Flipped Classroom

Darryl Yong·Harvey Mudd College

An examination of effective strategies for integrating group work into flipped classroom models, addressing common challenges and best practices for student engagement.

All lectures from Harvey Mudd College

24

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Chapters · Duration

Real Analysis, Lecture 1: Constructing the Rational Numbers

Real Analysis, Lecture 1: Constructing the Rational Numbers

MATH 131 · Lec 1 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:02:05

Real Analysis, Lecture 8: Cantor Diagonalization and Metric Spaces

Real Analysis, Lecture 8: Cantor Diagonalization and Metric Spaces

MATH 131 · Lec 8 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:16:27

Real Analysis, Lecture 3: Construction of the Reals

Real Analysis, Lecture 3: Construction of the Reals

MATH 131 · Lec 3 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:15:29

Real Analysis, Lecture 4: The Least Upper Bound Property

Real Analysis, Lecture 4: The Least Upper Bound Property

MATH 131 · Lec 4 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:12:04

Real Analysis, Lecture 2: Properties of Q

Real Analysis, Lecture 2: Properties of Q

MATH 131 · Lec 2 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:07:38

Real Analysis, Lecture 7: Countable and Uncountable Sets

Real Analysis, Lecture 7: Countable and Uncountable Sets

MATH 131 · Lec 7 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:13:16

Real Analysis, Lecture 5: Complex Numbers

Real Analysis, Lecture 5: Complex Numbers

MATH 131 · Lec 5 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:07:57

Real Analysis, Lecture 6: Principle of Induction

Real Analysis, Lecture 6: Principle of Induction

MATH 131 · Lec 6 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:11:58

Lecture 13: Compactness and the Heine-Borel Theorem (MATH 131)

Lecture 13: Compactness and the Heine-Borel Theorem (MATH 131)

MATH 131 · Lec 13 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:09:29

Lecture 12: Relationship of Compact Sets to Closed Sets (MATH 131)

Lecture 12: Relationship of Compact Sets to Closed Sets (MATH 131)

MATH 131 · Lec 12 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:15:55

Lecture 11: Compact Sets (MATH 131)

Lecture 11: Compact Sets (MATH 131)

MATH 131 · Lec 11 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:10:54

Lecture 17: Complete Spaces (MATH 131)

Lecture 17: Complete Spaces (MATH 131)

MATH 131 · Lec 17 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:05:23

Lecture 14: Connected Sets, Cantor Sets (MATH 131)

Lecture 14: Connected Sets, Cantor Sets (MATH 131)

MATH 131 · Lec 14 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:03:52

Lecture 19: Series Convergence Tests, Absolute Convergence (MATH 131)

Lecture 19: Series Convergence Tests, Absolute Convergence (MATH 131)

MATH 131 · Lec 19 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:02:58

Lecture 22: Uniform Continuity (MATH 131)

Lecture 22: Uniform Continuity (MATH 131)

MATH 131 · Lec 22 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:10:22

Lecture 20: Functions - Limits and Continuity (MATH 131)

Lecture 20: Functions - Limits and Continuity (MATH 131)

MATH 131 · Lec 20 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:04:26

Lecture 10: The Relationship Between Open and Closed Sets (MATH 131)

Lecture 10: The Relationship Between Open and Closed Sets (MATH 131)

MATH 131 · Lec 10 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:13:02

Lecture 16: Subsequences, Cauchy Sequences (MATH 131)

Lecture 16: Subsequences, Cauchy Sequences (MATH 131)

MATH 131 · Lec 16 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:08:01

Lecture 9: Limit Points (MATH 131)

Lecture 9: Limit Points (MATH 131)

MATH 131 · Lec 9 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

1:12:11

Lecture 15: Convergence of Sequences (MATH 131)

Lecture 15: Convergence of Sequences (MATH 131)

MATH 131 · Lec 15 · Francis Su · Harvey Mudd College

Francis Su Harvey Mudd College

59:00