Course Schedule:
13:00-16:00 (6)
Course Schedule:
13:00-15:00 (1) Lec
Course Schedule:
13:00-14:30 (2,4) Lec
Course Schedule:
09:00 - 10:30 (1,3)
Course Schedule:
15:00 - 17:00 (2) lec
16:30 - 19:30 (4) lab

Course Name                       :           Calculus 2

Course Description             :           This course covers techniques of integration, parametric equations and polar coordinates, cylindrical surfaces, surfaces of revolution, and quadratic surfaces; vectors and vector-valued functions; functions of several variables; partial derivatives and the total differential; directional derivative; relative and absolute extrema of functions of several variables.

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

Course Schedule:
09:30-12:00 (5,6) Lec
Course Schedule:
10:30-12:00 (5) Lec
Course Schedule:
15:00-17:00 (1) Lec
16:30-19:30 (3) Lab