Concept, integral as anti-derivative, integration of linear functions, properties of integrals. Methods of integration − decomposition method, substitution method, integration by parts. D…Descripción completa
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CALCULUS Note: This compilation of the definitions and examples from Chapters 1-3 of Integral Calculus which are shown below were adapted from mathalino.com. No intention to violate copyrigh…Full description
Concept, integral as anti-derivative, integration of linear functions, properties of integrals. Methods of integration − decomposition method, substitution method, integration by parts. Definite...
CALCULUS Note: This compilation of the definitions and examples from Chapters 1-3 of Integral Calculus which are shown below were adapted from mathalino.com. No intention to violate copyrigh…Descripción completa
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differential calculus
kalkulusFull description
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Integral Calculus Finals Reviewer
Clyde E. Love and RainvilleFull description
A study guide for integral calculus.
differential calculus
BASIC MATHS
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differential calculusFull description
A reviewer for Integral Calculus. A list of formulas is provided. Sample problems are also included from easy to hard.Full description
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Guía para el desarrollo semestral de habilidades comunicativas y matemáticas en estudiantes de Facultad de Educacion
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সমাকলনবিদ্যা (অনির্দিষ্ট সমাকলন, নির্দিষ্ট সমাকলন ও অবকল সমীকরণ): উচ্চ-মাধ্যমিকস্তরের উপযোগী । ৬৭৪ পৃষ্ঠা 19.20 MB PDFDescripción completa
By David B. Massey
Sheet 1 of 3 UNIVERSITY OF THE SOUTHEASTERN PHILIPPINES College of Engineering Obrero, Davao City SYLLABUS
A. Course No. Math 107 B. Course Title: Integral Calculus
Credits/Pre-requisite: No. of Hours/weeks:
5 units lecture/Differential Calculus 90/18
C. Course Description: Concept of integration and its application to physical problems such as evaluation of areas, volumes of revolution, force, and work; fundamental formulas and various techniques of integration applied to both single variable and multi-variable functions; tracing of functions of two variables.
D. Course Objectives: After completing completing this course, the student must be able to: A. Properly carry out integration through the use of the fundamental fundamental formulas formulas and/or the various techniques of integration for both single and multiple integrals; B. Correctly apply the concept of integration in solving problems involving evaluation of arc lengths, areas, volumes, work, and force; C. Sketch 3-dimensional regions bounded by several surfaces; and D. Evaluate volumes of 3-dimensional regions bounded by two or more surfaces through the use of the double or triple integral.
Course Outline 1. Integration Concept / Formulas 1.1. Anti-Differentiation. The Indefinite Integral 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
Teaching Objective
Teaching Method
Evaluation
Time Frame
To familiarize integration concept, familiarize integration formulas and to countercheck anti-differentiation by its inverse problem, the differentiation
Lectures, problem solving and take-home exercises
Quiz/Exam
4 weeks
Sheet 2 of 3 2. Integration Techniques 2.1. Integration by Parts 2.2. Trigonometric Integrals 2.3. Trigonometric Substitution 2.4. Rational Functions 2.5. Rationalizing Substitution 2.6. Definite Integrals. Wallis’ Formula 3. Application 3.1. Improper Integrals 3.2. Plane Area 3.3. Arc Length 3.4. Areas Between Curves 3.5. Centroids 3.6. Moments of Inertia 3.7. Volumes 3.8. Work 3.9. Hydrostatics Pressure and Force Surfaces Multiple Integral as Volume 5.1. Surface Tracing: Planes 5.2. Spheres 5.3. Cylinders 5.4. Quadratic Surfaces 5.5. Double Integrals 5.6. Triple Integrals
To familiarize different integration techniques
Lectures, problem solving and take-home exercises
Quiz/Exam
4 weeks
To tackle several integration applications with deep concentration to engineering sciences
Lectures, problem solving and take-home exercises
Quiz/Exam
6 weeks
To familiarize iterated integration as plane area and as volume and to analyze volume in rectangular, cylindrical and spherical coordinates
Lectures, problem solving and take-home exercises
Quiz/Exam
4 weeks
E. Reference: Book: Clyde E. Love (Professor of Eng ineering Mathematics) et al, “Differential and Integral Calculus”, Sixth Edition, The Macmillian Company, New York, 1969.
Sheet 3 of 3 F. Grading System System Exams – 50% Quizzes – 45% Attendance – 5% _________ Total – 100%