BSED FILIPINO 3A

Course Name                       :           Calculus 2

Prerequisite                          :            Calculus 1

No. of Units                           :           3 units – 3 hours/week

Course Outcome (CHED)  :           At the end of this course, the students should be able to:

1. Evaluate integrals using the basic techniques of integration;
2. Evaluate improper integrals;
3. Sketch graphs of equations in polar coordinates;
4. Identify and sketch graphs in space of lines, planes, cylindrical surfaces, surfaces of revolution and quadric surfaces;
5. Use calculus of vector-valued functions to analyze motion in space;
6. Evaluate limits and analyze the continuity of functions of several variables;
7. Find partial derivatives and directional derivatives of functions of several variables;
8. Solve problems involving the total differential;
9. Find relative and absolute extrema of functions of several variables; and
10. Apply the Lagrange multipliers method on constrained optimization problems.

Course Topics                      :          

1. Techniques of Integration and Improper Integrals
2. Parametric Curves, Polar Coordinates and Surfaces
3. Vectors, Lines and Planes in Space, Vector-Valued Functions
4. Differential Calculus of Functions of Several Variables