Syllabus
- Antiderivatives and properties.
- Antiderivatives of polynomianls and trigonometric functions.
- Substitution and integration by parts.
- Definition and basic properties of Riemann integral.
- The fundamental theorems of calculus.
- Evaluation of area.
- The natural logarithm and the exponential function.
- Logarithmic differentiation.
- More integration techniques.
- Cauchy Mean Value Theorem.
- Taylor's formula with remainder.
- Maclaurin polynomial and application.
Reference: NG TB, Calculus, Chapter 6.