Alignment with departmental program outcomes is indicated in parentheses. Upon completion of the course, students will be able to do the following:
1. Evaluate anti-derivatives of algebraic and trigonometric functions.
2. Evaluate definite integrals by applying the First Fundamental Theorem of Calculus.
3. Interpret and apply the second Fundamental Theorem of Calculus and the Mean Value Theorem for Integrals.
4. Calculate volumes of solids of revolution by the disk method, washer method and the method of cylindrical shells.
5. Calculate the length of a plane curve and the area of a surface of revolution.
6. Solve applied problems involving work, force, and liquid pressure.
7. Recognize the domain, range, and algebraic properties of the logarithmic, exponential and hyperbolic functions and sketch their graphs.
8. Compute derivatives and integrals of logarithmic, exponential and hyperbolic functions.9. Identify the domain, range, and apply algebraic properties of the inverse trigonometric and inverse hyperbolic functions and sketch their graphs.
10. Compute derivatives and integrals of the inverse trigonometricand inverse hyperbolic functions.