Episode 1: "Spree"
A Pursuit Curve Problem
Topic: Data collection, Graphs, Distance Formula
The Missing City
Topic: Logical Reasoning
Traveling on Good Circles
Topic: Geodesics On a Sphere
The Chase
Topic: Introduction to Pursuit Curves
The Four Bug Problem: Step On No Pets
Topic: Data Collection, Graphs, Distance Between Two Points, Equation of a Curve
Episode 2: "Spree, Part II - Two Daughters"
Social Security Numbers
Topic: Combinatorics
Galton Board
Topic: Probability
Spiraling Out
Topic: Polar Spirals
Tic-Tac-Toe
Topic: Game Theory
Trawling for an Intersection
Topic: Parametric Equations
Episode 3: "Traffic"
What is Random?
Topic: Random Numbers
Birthday Surprise
Topic: Probability Using Complementary Events
To Pythagoras and Beyond
Topic: Extending the Pythagorean Theorem
Pythagorean Triples
Topic: The Pythagorean Theorem
Up to Speed
Topic: Elementary Traffic Flow Models
Episode 4: "Provenance"
Matrix Operations
Topic: Matrix Operations
Checkbook (Mis)Calculations
Topic: Algebraic Expressions, Linear Diophantine Equations
Set the Trap
Topic: Probability Matrices
Magnetism
Topic: Data Collection, Modeling
Episode 5: "The Mole"
Branch and Bound
Topic: Linear Programming
Coded Messages
Topic: Inverse Matrices
Cycloid I
Topic: Geometry and Algebra
Cycloid II
Topic: Pre-Calculus and Calculus
Episode 6: "Longshot"
Expected Value
Topic: Geometric Probability, Expected Value
Harmonizing Means
Topic: Harmonic Mean
The Odds-On Favorite
Topic: Probability, Odds, and Odds Ratios
Not So Great Expectations
Topic: Probability and Expected Values
Episode 7: "Blackout"
Maintaining Balance
Topic: Center of Mass, Harmonic Series
Navigating Networks
Topic: Networks, Directed Weighted Graphs
Episode 8: "Hardball"
Less is More
Topic: Least Squares Regression
The Pythagorean Expectation
Topic: Algebra and Sabermetrics
Is It For Real?
Topic: Data Analysis
Implicit Orbits
Topic: Implicit Differentiation
Episode 9: "Waste Not"
Risky Business
Topic: Odds Ratios and Risk Ratios
Different or Not
Topic: Two-Proportion Z-test
Sharpshooter
Topic: Geometric Probability
A Group of Symmetries
Topic: Symmetries of an Equilateral Triangle
Episode 10: "Brutus"
Dial the Phone
Topic: Triangular Numbers, Networks
The Crowded Ballroom
Topic: Area, Perimeter, Percentages
The Orchard Problem
Topic: Lattice Points in the Coordinate Plane
Episode 11: "Killer Chat"
Onion Peeler
Topic: Computer Science
The Perfect House
Topic: Marketing (Conjoint Analysis)
Stylometry
Topic: Box-and-Whisker Plots
Episode 12: "Nine Wives"
Lost And Found
Topic: Modeling a Lost Person’s Path
All In The Family
Topic: Genetic Probabilities
A Breed Apart
Topic: Inbreeding Coefficients
Episode 13: "Finders Keepers"
Barging In
Topic: Rates, Direct and Inverse Variation, Algebra
The Leaf Drops
Topic: Experimental Probability, Histograms
Where’s Cheetah?
Topic: Simulation, Cylindrical Coordinates
Episode 14: "Take Out"
No Fly Zone
Topic: Geometry and Probability
Outliers
Topic: Statistics and Outliers
Restaurant Ranking
Topic: Probability and Directed Graphs
Episode 15: "End of Watch"
Angling for Distance
Topic: Maximizing the Distance Traveled by a Projectile
Ants Go Marching
Topic: Ant Colony Optimization
Candy Pieces
Topic: Chi-square Test for Goodness-of-fit
Critical Maths
Topic: Critical Path Analysis (CPA)
Episode 16: "Contenders"
Choosing Contenders
Topic: Weighted Averages, Z-scores
Dialing Ben
Topic: Scatterplots, Least-squares Regression and Residuals
Episode 17: "One Hour"
Have Your Cake And Eat It Too
Topic: Discrete Mathematics / Fair Division
The Labyrinth
Topic: Logic Mazes
Turing Origami
Topic: Computer Science, Logic
Episode 18: "Democracy"
All Shook Up
Topic: An Elementary Introduction to Inductive Reasoning
Shaken, Not Stirred
Topic: Application Of Inductive Reasoning In Problem Solving
I Never Metadata I Didn’t Like
Topic: Pattern Analysis and Recognition
No Desk Left Behind
Topic: Probability and Simulation
Episode 19: "Pandora’s Box"
Fresh Air and Parabolas
Topic: Parametric Equations, Parametric Functions, Quadratic Equations
Thinking Backward
Topic: Inverse Problems, Discrete Math
Episode 20: "Burn Rate"
Energy
Topic: Solving Equations
Regular Polygon Centroids
Topic: Geometry, Points of Concurency
Irregular Polygon Centroids
Topic: Geometry, Points of Concurency
Random Thoughts
Topic: Probability
A "Normal" Explosion
Topic: Calculus Derivatives
Episode 21: "The Art of Reckoning"
No Place Left to Hide
Topic: Pursuit Evasion, Families of Graphs and Proof
Spies Like Us
Topic: Probability Game
To C or Not to C
Topic: Game Theory - The Prisoner's Dilemma
Episode 22: "Under Pressure"
Close Encounters
Topic: Social Networks, Mean
Seeing Everyone
Topic: Visible Lattice Points
Episode 23: "Money for Nothing"
Driving With Dijkstra
Topic: Graph Theory
Truth or Dare
Topic: Logic Riddles
Velocity of Circulation
Topic: Economics, Simulation, Using Formulas
Episode 24: "The Janus List"
Straddling Checkerboard
Topic: Ciphers, Discrete Mathematics
Pile It On
Topic: Exponential Functions
Pack It In
Topic: Discrete Mathematics
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