Calculus 1

1. Limits
   • Understanding the Definition of the Derivative (Slope of the Tangent Line/Limit of the Secant Slope)
   • Limits of Polynomial Rational and Radical Expressions
   • Proof of the limit of the sin(x)/x = 1 as a approaches 0
   • Limits of Trig Ratios
   • Left and Right-Hand (One-Sided) Limits
   • Limits From a Graph
   • Limits at Infinity
   • Graphing Rational Functions With Vertical and Horizontal Asymptotes (Using Limits)
2. Integrals (Cal 1 and 2)
   • The Definition of the Definite Integral Explained
   • U-Substitution
   • Integration by Parts
3. Proofs
   • Proof of Rolle’s Theorem
   • Proof of the Mean Value Theorem for Derivatives
   • Proof of the Mean Value Theorem for Definite Integrals
   • Proof of the Fundamental Theorem of Calculus Part 1
   • Proof of the Fundamental Theorem of Calculus Part 2
4. Go Back to Main Topics

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