COURSE SYLLABUS
AY: 2007-2008, 2nd Semester
Course Title: INTEGRAL CALCULUS
Course Code: Math_5
Pre-Requisite: Math_3
Credit: 3
Total Hours: 54 hours
Course Description:
Integral calculus is the continuation of Differential Calculus. It deals with definite and indefinite integrals and their properties. It covers the different integral properties.
Course Objectives:
At the end of the semester, the students should be able to:
1. apply the properties of definite and indefinite integrals
2. perform integration by using the appropriate method of integration
Course Outline:
I. INTEGRATION
1.1 Antiderivatives and the indefinite integral
1.2 The general formula for integration
1.3 Area and the fundamental theorem of calculus
1.4 The area of a region between two curves
1.5 The definite integral as the limit of a sum
II. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
2.1 Integration of Exponential Functions
2.2 Integration of Logarithmic Functions
III. TECHNIQUES OF INTERGRATION
2.1 Integration by Substitution
2.2 Integration by Parts
2.3 Partial functions
2.4 Numerical Integration
2.5 Improper Integrals
IV. FUNCTIONS OF SEVERAL VARIABLES
4.1 The Three-Dimensional Coordinate System
4.2 Surfaces in Space
4.3 Partial Derivatives
4.4 Double Integrals and Area in the Plane
Course Requirements:
a. Class Standing (60%): assignments, quizzes, problem sets, recitation/board works, seat works, attendance
b. Periodical Examinations (40%)
Textbook: Brief Calculus
References:
1.Differential and Integral Calculus
2. Calculus and Analytic Geometry
3. Brief Calculus for Management and the Life and Social Sciences
4. Applied Calculus
Prepared by:
Mr. Edgardo R. Rilloraza
Instructor
Tuesday, April 15, 2008
Course Outline / Syllabus
COURSE SYLLABUS
AY: 2007-2008, 2nd Semester
Course Title: INTEGRAL CALCULUS
Course Code: Math_5
Pre-Requisite: Math_3
Credit: 3
Total Hours: 54 hours
Course Description:
Integral calculus is the continuation of Differential Calculus. It deals with definite and indefinite integrals and their properties. It covers the different integral properties.
Course Objectives:
At the end of the semester, the students should be able to:
1. apply the properties of definite and indefinite integrals
2. perform integration by using the appropriate method of integration
Course Outline:
I. INTEGRATION
1.1 Antiderivatives and the indefinite integral
1.2 The general formula for integration
1.3 Area and the fundamental theorem of calculus
1.4 The area of a region between two curves
1.5 The definite integral as the limit of a sum
II. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
2.1 Integration of Exponential Functions
2.2 Integration of Logarithmic Functions
III. TECHNIQUES OF INTERGRATION
2.1 Integration by Substitution
2.2 Integration by Parts
2.3 Partial functions
2.4 Numerical Integration
2.5 Improper Integrals
IV. FUNCTIONS OF SEVERAL VARIABLES
4.1 The Three-Dimensional Coordinate System
4.2 Surfaces in Space
4.3 Partial Derivatives
4.4 Double Integrals and Area in the Plane
Course Requirements:
a. Class Standing (60%): assignments, quizzes, problem sets, recitation/board works, seat works, attendance
b. Periodical Examinations (40%)
Textbook: Brief Calculus
References:
1.Differential and Integral Calculus
2. Calculus and Analytic Geometry
3. Brief Calculus for Management and the Life and Social Sciences
4. Applied Calculus
Prepared by:
Mr. Edgardo R. Rilloraza
Instructor
AY: 2007-2008, 2nd Semester
Course Title: INTEGRAL CALCULUS
Course Code: Math_5
Pre-Requisite: Math_3
Credit: 3
Total Hours: 54 hours
Course Description:
Integral calculus is the continuation of Differential Calculus. It deals with definite and indefinite integrals and their properties. It covers the different integral properties.
Course Objectives:
At the end of the semester, the students should be able to:
1. apply the properties of definite and indefinite integrals
2. perform integration by using the appropriate method of integration
Course Outline:
I. INTEGRATION
1.1 Antiderivatives and the indefinite integral
1.2 The general formula for integration
1.3 Area and the fundamental theorem of calculus
1.4 The area of a region between two curves
1.5 The definite integral as the limit of a sum
II. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
2.1 Integration of Exponential Functions
2.2 Integration of Logarithmic Functions
III. TECHNIQUES OF INTERGRATION
2.1 Integration by Substitution
2.2 Integration by Parts
2.3 Partial functions
2.4 Numerical Integration
2.5 Improper Integrals
IV. FUNCTIONS OF SEVERAL VARIABLES
4.1 The Three-Dimensional Coordinate System
4.2 Surfaces in Space
4.3 Partial Derivatives
4.4 Double Integrals and Area in the Plane
Course Requirements:
a. Class Standing (60%): assignments, quizzes, problem sets, recitation/board works, seat works, attendance
b. Periodical Examinations (40%)
Textbook: Brief Calculus
References:
1.Differential and Integral Calculus
2. Calculus and Analytic Geometry
3. Brief Calculus for Management and the Life and Social Sciences
4. Applied Calculus
Prepared by:
Mr. Edgardo R. Rilloraza
Instructor
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