MAT151/MAT131/GSE011 - Calculus I (Eng. Math I)

Functions-Properties of Functions – Composite Functions-Limits – Computational Techniques of Limits. Continuty – Limits and Continuty of Ttrigonometric Functions- The Derivative – Techniques of Differentiation – Derivative of Trignometric Functions – The Chain Rule – Implicit and parametric Differentiation-Inverse Functions – Logarithmic and Exponential Functions – Inverse Trignometric Functions – Hyprbolic Functions – Inverse Hyperbolic Functions- L'Hopital Rule – Indeterminate Forms - Taylor and Maclurin series -Functions of Two or More Variables – Partial Derivatives – Chain Rules.