The second course in the three part basic calculus sequence for students majoring in mathematics, science or engineering. Topics include vectors and the geometry of space, applications of integration, integration techniques, L'Hospital's Rule, improper integrals, infinite series, conic sections, plane curves, parametric equations, and polar coordinates.
LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:
1) Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective.
2) Students will be able to demonstrate effective written communication skills.
LEARNING OUTCOMES FOR THIS COURSE:
1) Students will develop a basic understanding of two- and three-dimensional vectors, the geometry of the plane and space, and be able to apply these concepts when working applied problems.
2) Students will learn various techniques of integration including integration by parts, trigonometric substitution, and partial fractions decomposition.
3) Students will acquire basic skills needed to apply integration techniques to solve a wide range of integration problems.
4) Students will develop a basic understanding of infinite series and their applications.
5) Students will learn how to use parametric equations and polar coordinates.