Calculus Lecture Notes

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Gold Notes

  1. Mathematical Sign Language
  2. Induction
  3. Polynomials and Rational Functions
  4. The Mean Value Theorem for Rational Functions
  5. Approximation of Rational Functions
  6. Solving Polynomial Equations
  7. Asymptotic Behaviour of Rational Functions
  8. Taylor Approximation
  9. Complex Numbers
  10. Gold Problems

Redbook Notes
  1. Review Notes
  2. Functions
  3. Limits and Continuity
  4. Techniques of Differentiation
  5. Related Rates
  6. Rolle's Theorem, the Mean Value Theorem, and L'Hopital's Rule
  7. Graph Sketching
  8. Estimating Functions
  9. Applications of Maxima and Minima
  10. Newton's Method
  11. The Definite Integral
  12. Techniques of Integration
  13. Applications of the Definite Integral
  14. Numerical Integration
  15. Taylor's Theorem
  16. Differential Equations

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