TTC Math - Miscellaneous Collection


360p - Mastering Linear Algebra, An Introduction with Applications (2019) x265
01 - Linear Algebra - Powerful Transformations
02 - Vectors - Describing Space and Motion
03 - Linear Geometry - Dots and Crosses
04 - Matrix Operations
05 - Linear Transformations
06 - Systems of Linear Equations
07 - Reduced Row Echelon Form
08 - Span and Linear Dependence
09 - Subspaces - Special Subsets to Look For
10 - Bases - Basic Building Blocks
11 - Invertible Matrices - Undoing What You Did
12 - The Invertible Matrix Theorem
13 - Determinants - Numbers That Say a Lot
14 - Eigenstuff - Revealing Hidden Structure
15 - Eigenvectors and Eigenvalues - Geometry
16 - Diagonalizability
17 - Population Dynamics - Foxes and Rabbits
18 - Differential Equations - New Applications
19 - Orthogonality - Squaring Things Up
20 - Markov Chains - Hopping Around
21 - Multivariable Calculus - Derivative Matrix
22 - Multilinear Regression - Least Squares
23 - Singular Value Decomposition - So Cool
24 - General Vector Spaces - More to Explore
Mastering Linear Algebra, An Introduction with Applications.pdf


360p - Mathematical Decision Making (2015) x265
01 The Operations Research Superhighway
02 Forecasting with Simple Linear Regression
03 Nonlinear Trends and Multiple Regression
04 Time Series Forecasting
05 Data Mining—Exploration and Prediction
06 Data Mining for Affinity and Clustering
07 Optimization—Goals, Decisions, and Constraints
08 Linear Programming and Optimal Network Flow
09 Scheduling and Multiperiod Planning
10 Visualizing Solutions to Linear Programs
11 Solving Linear Programs in a Spreadsheet
12 Sensitivity Analysis—Trust the Answer
13 Integer Programming—All or Nothing
14 Where is the Efficiency Frontier
15 Programs with Multiple Goals
16 Optimization in a Nonlinear Landscape
17 Nonlinear Models—Best Location, Best Pricing
18 Randomness, Probability, and Expectation
19 Decision Trees—Which Scenario Is Best
20 Bayesian Analysis of New Information
21 Markov Models—How a Random Walk Evolves
22 Queuing—Why Waiting Lines Work or Fail
23 Monte Carlo Simulation for a Better Job Bid
24 Stochastic Optimization and Risk
Mathematical Decision Making.pdf


480p - Discrete Mathematics (2009) x265
00. Professor Bio
01. What Is Discrete Mathematics
02. Basic Concepts of Combinatorics
03. The 12-Fold Way of Combinatorics
04. Pascal's Triangle and the Binomial Theorem
05. Advanced Combinatorics—Multichoosing
06. The Principle of Inclusion-Exclusion
07. Proofs—Inductive, Geometric, Combinatorial
08. Linear Recurrences and Fibonacci Numbers
09. Gateway to Number Theory—Divisibility
10. The Structure of Numbers
11. Two Principles—Pigeonholes and Parity
12. Modular Arithmetic—The Math of Remainders
13. Enormous Exponents and Card Shuffling
14. Fermat's ''Little'' Theorem and Prime Testing
15. Open Secrets—Public Key Cryptography
16. The Birth of Graph Theory
17. Ways to Walk—Matrices and Markov Chains
18. Social Networks and Stable Marriages
19. Tournaments and King Chickens
20. Weighted Graphs and Minimum Spanning Trees
21. Planarity—When Can a Graph Be Untangled
22. Coloring Graphs and Maps
23. Shortest Paths and Algorithm Complexity
24. The Magic of Discrete Mathematics
Discrete Mathematics.pdf


480p - Queen of the Sciences - A History of Mathematics (2008 ) x265
01. What Is Mathematics
02. Babylonian and Egyptian Mathematics
03. Greek Mathematics—Thales to Euclid
04. Greek Mathematics—Archimedes to Hypatia
05. Astronomy and the Origins of Trigonometry
06. Indian Mathematics—Trigonometry Blossoms
07. Chinese Mathematics—Advances in Computation
08. Islamic Mathematics—The Creation of Algebra
09. Italian Algebraists Solve the Cubic
10. Napier and the Natural Logarithm
11. Galileo and the Mathematics of Motion
12. Fermat, Descartes, and Analytic Geometry
13. Newton—Modeling the Universe
14. Leibniz and the Emergence of Calculus
15. Euler—Calculus Proves Its Promise
16. Geometry—From Alhambra to Escher
17. Gauss—Invention of Differential Geometry
18. Algebra Becomes the Science of Symmetry
19. Modern Analysis—Fourier to Carleson
20. Riemann Sets New Directions for Analysis
21. Sylvester and Ramanujan—Different Worlds
22. Fermat's Last Theorem—The Final Triumph
23. Mathematics—The Ultimate Physical Reality
24. Problems and Prospects for the 21st Century
Queen of the Sciences - A History of Mathematics.pdf


480p - The Art and Craft of Mathematical Problem Solving (2010) x265
00- Professor Paul Zeitz
01- Problems versus Exercises
02- Strategies and Tactics
03- The Problem Solvers Mind-Set
04- Searching for Patterns
05- Closing the Deal - Proofs and Tools
06- Pictures  Recasting  and Points of View
07- The Great Simplifier - Parity
08- The Great Unifier - Symmetry
09- Symmetry Wins Games
10- Contemplate Extreme Values
11- The Culture of Problem Solving
12- Recasting Integers Geometrically
13- Recasting Intergers with Counting and Series
14- Things in Categories - The Pigeonhole Tactic
15- The  Greatest Unifier of All - Invariants
16- Squaring is Better - Optimizing 3s and 2s
17- Using Physical Intuition and Imagination
18- Geometry and the Transformation Tactic
19- Building from Simple to Complex with Induction
20- Induction on a Grand Scale
21- Recasting Numbers as Polynomials - Weird Dice
22- A Relentless Tactic Solves a Very Hard Problem
23- Genius and Conways Infinite Checkers Problem
24- How versus Why - The Final Frontier
25 End Credits