Limits of functions, theorems about limits, evaluation of limit at a point and infinity, continuity. Derivatives of algebraic and trigonometric functions, maxima and minima, engineering applications of derivatives. The definite and indefinite integrals and their applications. Integration by parts, integration using powers of trigonometric functions, integration using trigonometric substitution, integration by partial fractions, and integration of improper integrals. Transcendental functions.