CALCULUS 1
Basic concept of calculus such as limits, continuity and differentiability of functions; differentiation of algebraic and transcendental functions involving one or more variables; applications of differential calculus to problems on optimization, rates of change, related rates, tangents and normals, and approximations; partial differentiation and transcendental curve tracin2g.
COURSE OUTLINE
1. Functions
2. Continuity and Limits
3. The Derivative
4. The Slope
5. Rate of Change
6. The Chain Rule and the General Power Rule
7. Implicit Differentiation
8. Higher Order Derivatives
9. Polynomial Curves
10.Applications of Derivatives
11. Derivatives of Trigonometric Functions
12. Derivatives of Inverse Trigonometric Functions
13. Derivatives of Logarithmic and Exponential Functions
14. Derivative of the Hyperbolic Functions
- Teacher: Elmer Claveria