1     Limits: Limit of a Function

2.    Infinite Limits, The Squeeze Theorem, The Sum Law

3.    Continuity

4.    The Intermediate Value Theorem, Horizontal Asymptotes

5.    Derivatives and Rates of Change

6.    Derivatives as a Function, Derivatives of Polynomials and Exponential Functions

7.    Power Rule, The Product and Quotient Rules

8.    Derivatives of Trigonometric Functions

9.    The Chain Rule, Implicit Differentiation, Exponential Growth and Decay

10.    Hyperbolic Functions. Applications of Differentiations

11.    The Extreme Value Theorem

12.    The Mean Value Theorem, Concavity Test

13.    Indeterminate Forms and L’Hospital Rule

14.    Curve Sketching

15.    Optimization Problems

Recommended Books

1.    Stewart, J., Calculus Early Transcendentals, 7th ed. (Brooks/Cole, 2011).

 2.    Anton, H., Calculus; A New Horizon, 7th ed. (John Wiley, 2001). Suggested Books

3.     Thomas, G. B., Calculus,12th ed. (Pearson Edition, India, 2015).