Calculus I

Description

Functions (New Functions from Old –Composition of Functions – Families of Functions) –Trigonometric Functions -Inverse Functions – Inverse Trigonometric Functions–Exponential and Logarithmic Functions - Limits at Infinity; End Behavior of a Function–Tangent Lines and rate of change, The Derivative Function, Techniques of Differentiation, The product and quotient rules Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation– Derivatives of Logarithmic, Exponential and Inverse trigonometric Functions–Hyperbolic / Inverse Hyperbolic Functions and their Derivatives–Indeterminate Forms and L’Hopital’s Rule: Partial Differentiation–Taylor’s and Maclaurin’s expansions–Curve sketching: Critical, maximum, minimum and inflection points–Conic sections: Parabola.

Program

Construction and Building Engineering

Objectives

• • Differentiate certain types of functions (trigonometric functions and their inverse, exponential function, and logarithmic function).
  • Understand and use the applications of differentiation (l’Hopital, Taylor and Maclaurin’s expansions).