Braver New Math

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105 videos

Mathematics lectures: calculus, statistics, linear algebra, trigonometry, maybe more. Time will tell. My books 𝘛𝘩𝘦 𝘋𝘢𝘳𝘬 𝘈𝘳𝘵 𝘰𝘧 𝘓𝘪𝘯𝘦𝘢𝘳 𝘈𝘭𝘨𝘦𝘣𝘳𝘢, 𝘍𝘶𝘭𝘭 𝘍𝘳𝘰𝘯𝘵𝘢𝘭 𝘊...

Latest Videos

6. The Ratio Test & Power Series (via Multipliers!)

Agentic AI Browser vs Unproctored Online College Class

13. Solving Trigonometric Equations

12. Inverse Trig Functions

11. How Trig Identities (Sum, Double-Angle, Square-Killer, and Half-Angle) are Born

10. Transformed Sine Waves

9. Radians (and a Few Words on Graphs)

8. The Laws of Sines and Cosines

Tom Lehrer's Lost Calculus Problem in 72 Lines of Verse (Lake Rotunda)

7. Tangent on the Unit Circle (and Why Tangent & Secant are Appropriate Names)

6. Sine and Cosine on the Unit Circle

5. Measuring Inaccessible & Astronomical Distances with Trigonometry

4. Right Triangle Trigonometry (The Deep End)

3. SOH CAH TOA - Trigonometric Divinity

2. Congruence, Similarity, and All That

1. Triangle Basics (Angle Sum, Area, Euclid & Pythagoras)

20. Least Squares

19. Gram Schmidt and QR Decomposition

18. Orthogonal Projections onto Subspaces

17. Computing Eigenstuff

16. Eigendecomposition (Concepts, not Computations)

15. Eigenstuff (Concepts, No Computations)

14. Orthogonal Matrices, Orthonormal Bases

13. Matrices of Linear Maps with respect to Nonstandard Bases

12. Coordinates and Change of Basis Matrices

11. The Determinant (Part 2 Computation)

10. The Determinant (Part 1 Geometry and Intuition)

9. Image and Kernel

8. Inverse Matrices

7. Gaussian Elimination Endgames