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:
- Evaluate integrals using the basic techniques of integration;
- Evaluate improper integrals;
- Sketch graphs of equations in polar coordinates;
- Identify and sketch graphs in space of lines, planes, cylindrical surfaces, surfaces of revolution and quadric surfaces;
- Use calculus of vector-valued functions to analyze motion in space;
- Evaluate limits and analyze the continuity of functions of several variables;
- Find partial derivatives and directional derivatives of functions of several variables;
- Solve problems involving the total differential;
- Find relative and absolute extrema of functions of several variables; and
- Apply the Lagrange multipliers method on constrained optimization problems.
Course Topics :
- Techniques of Integration and Improper Integrals
- Parametric Curves, Polar Coordinates and Surfaces
- Vectors, Lines and Planes in Space, Vector-Valued Functions
- Differential Calculus of Functions of Several Variables
- Teacher: Jayson Payla
Course Schedule:
9:00-12 (5) (FRIDAY)