Continuation of MATH 181; teaches transcendental functions, methods of integration, conics, and vectors.

Upon completion of this course, the student should be able to do the following:

1. calculate the area of a region between two curves.
2. find volume using the disc and shell methods.
3. determine arc length and surface area.
4. calculate work, fluid force and centers of mass.
5. integrate using the following techniques: trigonometric substitution, partial fractions, tables.
6. evaluate limits using L' Hopital's rule.
7. evaluate improper integrals.
8. find whether a series converges using the following tests: integral, p-series, comparision, alternating, ratio root.
9. determine Taylor and Maclaurin series of a given function.
10. know the equations and properties of the ellipse, hyperbola and parabola.
11. sketch curves in polar coordinates and find tangent lines, area and arc length in polar coordinates.
12. work with parametric equations.

General Education Mission: This course addresses the fourth bullet under goal 1 in the college mission, "Provide instruction that contributes to a student's...abilities to...think critically and solve problems; to reason mathematically and apply computational skills."

Math 182 satisfies the general education requirement for any degree or certificate and
addresses the mission of and the following student learning outcomes of General Education.

1) can use appropriate college-level mathematical skills.

2) have problem solving, creative and critical thinking skills.

Program Mission for AA/AS degree: Math 182 addresses the missions of and the following student learning outcomes of the A.A. and A.S. degrees.

1) know the subject matter appropriate to the emphasis of the degree.

2) can succeed at their transfer institutions.

Program Mission for AGS degree: Math 182 addresses the missions of and the following student learning outcomes of the A.G.S. degree.

know the subject matter appropriate to their fields of study.