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Yale University

The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16

Yale University via YouTube

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This lecture develops Taylor series through derivations and examples, including cases where Taylor expansions are invalid and applications to common functions. It also covers complex numbers in polar form and concludes with simple harmonic motion and its energy relationships.

Syllabus

- Chapter 1. Derive Taylor Series of a Function, f as [Σ (0, ∞)fnxn/n!].
- Chapter 2. Examples of Functions with Invalid Taylor Series.
- Chapter 3. Taylor Series for Popular Functions(cos x, ex,etc).
- Chapter 4. Derive Trigonometric Functions from Exponential Functions.
- Chapter 5. Properties of Complex Numbers.
- Chapter 6. Polar Form of Complex Numbers.
- Chapter 7. Simple Harmonic Motions.
- Chapter 8. Law of Conservation of Energy and Harmonic Motion Due to Torque.

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Start your review of The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16

  • Ezéchiel Djokoutin
    1
    I'm regular in this courses and just want other explaining . I need to be helped because I 'm CPGE . Moreover, I will pass my test in 2026 before going engineering.
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