# Math 1210 Course Recourses

Calculus 1 Course Objectives

1. Compute the limits of rational functions and trigonometric functions.
2. Determine if a function is continuous at a given point.
3. Find the derivatives of polynomial, trigonometric, exponential, logarithmic, and inverse trigonometric, and hyperbolic functions, and find the derivatives of products, quotients, and compositions of such functions.
4. Perform implicit differentiation and solve problems involving related rates.
5. Apply Newton's method.
6. Apply the First Derivative Test and the Second Derivative Test to aid in graphing functions.
7. Solve optimization problems by using methods of calculus.
8. Apply L'Hopital's Rule to solve limit problems involving the indeterminate forms 0/0 or 8/8.
9. Compute indefinite and definite integrals; find areas and volumes.

Description

Includes limits and continuity, differentiation, applications of differentiation, integration, applications of integration, derivatives of the exponential functions, logarithmic functions, inverse trigonometric functions, and hyperbolic functions, and related integrals. Prerequisite for calculus-based sciences.