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    Integral Calculus SYLLABUS

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    CAHEL ALFONSO
    This document outlines a course on integral calculus that covers fundamental integration formulas and techniques for single and multi-variable functions. The 5-unit course meets for 90 hours and requires differential calculus as a prerequisite. Topics include anti-differentiation, integration formulas and techniques like integration by parts, trigonometric substitutions, and rationalizing substitutions. Applications of integration like area, volume, work, and force are also covered. Multiple integrals are introduced for calculating volumes bounded by surfaces.

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    Integral Calculus SYLLABUS

    Uploaded by

    CAHEL ALFONSO
    296 views2 pages
    This document outlines a course on integral calculus that covers fundamental integration formulas and techniques for single and multi-variable functions. The 5-unit course meets for 90 hours and requires differential calculus as a prerequisite. Topics include anti-differentiation, integration formulas and techniques like integration by parts, trigonometric substitutions, and rationalizing substitutions. Applications of integration like area, volume, work, and force are also covered. Multiple integrals are introduced for calculating volumes bounded by surfaces.

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    integral calculus SYLLABUS

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    This document outlines a course on integral calculus that covers fundamental integration formulas and techniques for single and multi-variable functions. The 5-unit course meets for 90 hours and requires differential calculus as a prerequisite. Topics include anti-differentiation, integration formulas and techniques like integration by parts, trigonometric substitutions, and rationalizing substitutions. Applications of integration like area, volume, work, and force are also covered. Multiple integrals are introduced for calculating volumes bounded by surfaces.

    Copyright:

    © All Rights Reserved
    Download as DOC, PDF, TXT or read online from Scribd
    Download as doc, pdf, or txt
    296 views2 pages

    Integral Calculus SYLLABUS

    Uploaded by

    CAHEL ALFONSO
    This document outlines a course on integral calculus that covers fundamental integration formulas and techniques for single and multi-variable functions. The 5-unit course meets for 90 hours and requires differential calculus as a prerequisite. Topics include anti-differentiation, integration formulas and techniques like integration by parts, trigonometric substitutions, and rationalizing substitutions. Applications of integration like area, volume, work, and force are also covered. Multiple integrals are introduced for calculating volumes bounded by surfaces.

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    © All Rights Reserved
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    LYCEUM OF SUBIC BAY

    COLLEGE OF ENGINEERING
    Lot 73 Central Business District, Subic Bay Freeport Zone
    Telefax: (047) 252 - 3157

    Course Name INTEGRAL CALCULUS

    Course Code/s MATH245, MATH215

    Applicable Programs BSCOE, BSECE, BSIE

    Concept of integration and its application to physical problems such as


    evaluation of areas, volumes of revolution, force, and work; fundamental
    Course Description formulas and various techniques of integration applied to both single variable
    and multi-variable functions; tracing of functions of two variables.

    Number of Units for


    5 units lecture
    Lecture and Lab
    Number of Contact
    90 hours lecture
    Hours per semester
    Prerequisite/s Differential Calculus

    Co-requisite None
    After completing this course, the student must be able to:
    1. Properly carry out integration through the use of the fundamental formulas
    and/or the various techniques of integration for both single and multiple
    integrals;
    Course Objectives 2. Correctly apply the concept of integration in solving problems involving
    evaluation of areas, volumes, work, and force;
    3. Sketch 3-dimensional regions bounded by several surfaces; and
    4. Evaluate volumes of 3-dimensional regions bounded by two or more
    surfaces through the use of the double or triple integral.

    1. Integration Concept / Formulas


    1.1. Anti-Differentiation
    1.2. Simple Power Formula
    1.3. Simple Trigonometric Functions
    1.4. Logarithmic Function
    1.5. Exponential Function
    1.6. Inverse Trigonometric Functions
    1.7. Hyperbolic Functions
    1.8. General Power Formula
    1.9. Constant of Integration
    1.10. Definite Integral
    2. Integration Techniques
    Course Outline 2.1. Integration by Parts
    2.2. Trigonometric Integrals
    2.3. Trigonometric Substitution
    2.4. Rational Functions
    2.5. Rationalizing Substitution
    3. Application
    3.1. Improper Integrals
    3.2. Plane Area
    3.3. Areas Between Curves
    4. Other Applications
    4.1. Volumes
    4.2. Work
    4.3. Hydrostatics Pressure and Force

    Syllabus INTEGRAL CALCULUS Page 1 of 2


    LYCEUM OF SUBIC BAY
    COLLEGE OF ENGINEERING
    Lot 73 Central Business District, Subic Bay Freeport Zone
    Telefax: (047) 252 - 3157

    5. Surfaces Multiple Integral as Volume


    5.1. Surface Tracing: Planes
    5.2. Spheres
    5.3. Cylinders
    5.4. Quadratic Surfaces
    Course Outline 5.5. Double Integrals
    5.6. Triple Integrals
    6. Multiple Integral as Volume
    6.1. Double Integrals
    6.2. Triple Integrals

    Laboratory Equipment None

    Textbook Differential and Integral Calculus by Love and Rainville

    Workbook/Manual

    Other References

    Prepared By

    Date June 2009

    Syllabus INTEGRAL CALCULUS Page 2 of 2

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