INSTRUCTOR: Mr. Victor Revilla
The course introduces the concept of integration and its application to some physical problems such as evaluation of areas, volumes of revolution, force, and
work. The fundamental formulas and various techniques of integration are taken up and applied to both single variable and multi-variable functions. The course
also includes tracing of functions of two variables for a better appreciation of the interpretation of the double and triple integral as the volume of a three-dimensional
region bounded by two or more surfaces.
Course Learning Outcomes
CLO1. Apply integration to the evaluation of areas, volumes of revolution, force, and work
CLO2. Use integration techniques on single and multi-variable functions
CLO3. Explain the physical interpretation of the double and triple integral
C. Module and Unit Topics
To ensure the accomplishment of the learning outcomes, you need to master the following topics in this course:
Module 1: Basic Integration Formulas
This module will familiarize you in the application of integration formulas for single and multi-variable functions such as involving algebraic, trigonometric, logarithmic, exponential, and inverse trigonometric functions.
Module 2: Oher Integration Formulas
This module deals with the integration of hyperbolic functions, application of general power formula and definite integrals.
Module 3: Problems Using integration Formulas
This module will help you use integration formulas for the solution of some problems concerning area, volumes, work and hydrostatic pressure.
Module 4: Integration Techniques
This module focuses on the application of techniques for the integration of complicated integrands.
Module 5: Multiple Integrals
This module focuses on the physical interpretation of the double and triple integral