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MES Math Q/A Livestreams ▶️
- Cubic Formula Proof ▶️
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Infinite Sequences and Series ▶️
- Infinite Sequences: Limits, Squeeze Theorem, Fibonacci Sequence & Golden Ratio ▶️
- Laboratory Project: Logistic Sequences
- Infinite Series: Definition, Examples, Geometric Series, Harmonic Series, Telescoping Sum + MORE ▶️
- The Integral Test and Estimate of Sums ▶️
- The Comparison Tests
- Alternating Tests
- Absolute Convergence and the Ratio/Root Tests
- Strategy for Testing Series
- Power Series
- Representations of Functions as Power Series
- Taylor and Maclaurin Series
- Formulas for the Remainder Term in Taylor Series
- Multiplication and Division of Power Series
- Kummer's Test, Raabe's Test, and Convergence of Binomial Series
- Laboratory Project: An Elusive Limit ▶️
- Applications of Taylor Polynomials ▶️
- Applied Project: Radiation from the Stars (Blackbody Radiation) ▶️
- Review and True-False Quiz ▶️
- Problems Plus ▶️
- Spherical Harmonics ▶️
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Vectors and the Geometry of Space ▶️
- 3D Coordinates Systems ▶️
- Vectors ▶️
- Complex Numbers as Rotation Matrices ▶️
- The Dot Product ▶️
- The Cross Product ▶️
- Laboratory Project: The Geometry of a Tetrahedron ▶️
- Equations of Lines and Planes ▶️
- Laboratory Project: Putting 3D in Perspective ▶️
- Cylinders and Quadric Surfaces ▶️
- Review ▶️
- True-False Quiz ▶️
- Problems Plus ▶️
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Vector Functions ▶️