syllabus - integral calculus.docx

PALAWAN STATE UNIVERSITYCollege of Engineering, Architecture and Technology

Department of Electrical Engineering

COURSE SYLLABUS

COURSE SYLLABUS

1. Course Code :ETC 5

2. Course Title :INTEGRAL CALCULUS

3. Course Credit :4

4. Pre-requisite :DIFFERENTIAL CALCULUS

5. Co-requisite :NONE

6. 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

VISION

A premier State University in Southeast Asia that provides excellent and relevant higher education for sustainable development.

MISSION

The Palawan State University is committed to upgrade the quality of life of the people by providing higher education opportunities through excellent

instruction, research, extension, production and transnational collaborations and innovations.

PROGRAM EDUCATIONAL OBJECTIVES (BSEE)

1. Possess a solid foundation in electrical engineering, sufficient to enable careers and professional growth in related fields.

2. Identify and solve engineering problems drawing on a strong foundation in the basic sciences and mathematics.

3. Communicate effectively and contribute as members of multidisciplinary teams.

4. Appreciate a diversity of opinion, consideration of ethical issues, and of the context of one’s profession.

5. Conceive, design, implement and operate products, processes and systems in enterprise and societal contexts.

TECHNIQUES OF INTEGRATION APPLIED TO BOTH SINGLE VARIABLE AND MULTIVARIABLE FUNCTIONS; TRACING OF FUNCTIONS OF TWO VARIABLES.

7. Student Outcomes :Student Outcomes

A graduate of the Bachelor of Science Electrical Engineering (BSEE) program must have attained:

Program Educational Objectives

1 2 3 4 5a. An ability to apply knowledge of mathematics, physical, life and information sciences; and engineering sciences appropriate to the field of practice.

x x

b. An ability to design and conduct experiments, as well as to analyze and interpret data.

x

c. An ability to design a system, component, or process to meet desired needs within identified constraints.

x

d. An ability to work effectively in multi-disciplinary and multi-cultural teams.

x

e. An ability to recognize, formulate and solve engineering problems.

x

f. Recognition of professional, social, and ethical responsibility.

x x

g. An ability to effectively communicate orally and in writing using the English language.

x

h. An understanding of the effects of engineering solutions in a comprehensive context.

x x

i. An ability to engage in life-long learning and an understanding of the need to keep current of the developments in the specific field of practice.

x x

j. A knowledge of contemporary issues. x xk. An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

x x

8. Course Outcomes (COs) and Relationship to Student OutcomesCourse Outcomes

At the end of the semester, the student should be able to:

Student Outcomes*a b c d e f g h i j k

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;

I I

2. Correctly apply the concept of integration in solving problems involving evaluation of areas, volumes, work, and force;

R R

3. Sketch 3-dimensional regions bounded by several surfaces; and

D D

4. Evaluate volumes of 3-dimensional regions bounded by two or more surfaces through the use of the double or triple integral.

I D

* Level: I- Introduced, R- Reinforced, D- Demonstrated

9. Course Design/Learning PlanTime

Frame TopicsTeaching

and Learning Activities

Resources

Outcomes-Based

Assessment

Connected Course

OutcomeWeek

Day

1st

and 2nd

1-14

Integration Concept / FormulasAnti-Differentiation1.2. Simple Power Formula1.3. Simple Trigonometric Functions1.4. Logarithmic Function1.5. Exponential Function1.6. Inverse Trigonometric Functions1.7. Hyperbolic Functions1.8. General Power Formula1.9. Constant of Integration1.10. Definite Integral

Interactive Lecturing Discussions Cooperative Learning Structures

BooksWhiteboardMarking pen

LectureBoardworkSeatworkAssignmentQuizzesMajor Exams

1. Carry out Integration through the use of fundamental formulas

3rd

and 4th

15 -

28

2. Integration Techniques2.1. Integration by Parts2.2. Trigonometric Integrals2.3. Trigonometric Substitution2.4. Rational Functions2.5. Rationalizing Substitution




1. Carry out Integration through the use of fundamental formulas and other integration techniques

5th 29-36

3. Application3.1. Improper Integrals3.2. Plane Area3.3. Areas

Interactive Lecturing Discussions Cooperati


LectureBoardworkSeatworkAssignment

1. Correctly apply the concept of integration in solving

Between Curves ve Learning Structures

QuizzesMajor Exams

problems involving evaluation of areas.

6th 37-43

4. Other Applications4.1. Volumes4.2. Work4.3. Hydrostatics Pressure and Force




1. Correctly apply the concept of integration in solving problems involving evaluation of volumes, work, and force;

7th 44-51

5. Surfaces Multiple Integral as Volume5.1. Surface Tracing: Planes5.2. Spheres5.3. Cylinders5.4. Quadratic Surfaces5.5. Double Integrals5.6. Triple Integrals




1. Carry out Integration through the use of fundamental formulas and other integration techniques for both single and multiple integrals.

8th 52-56

6. Multiple Integral as Volume6.1. Double Integrals6.2. Triple Integrals




1.Correctly apply the concept of integration of single and multiple integrals in solving problems involving evaluation of volumes.

10. Student OutputsTopic Output Percent Weight

11. Required Reading (Textbook/s)

1. Differential and Integral Calculus by Love and Rainville

12. Suggested Readings and References

13. Grading System/Course Evaluation(Lecture)

Assignments/ Seatworks 20%Quizzes 20%Class Participation 10%Midterm Exam 25%Final Exam 25%

Final Grade 100%

LaboratoryTopic Laboratory

Exercise/OutputPercent Weight

NoneFor Subjects with 2nits Lecture and 1 unit Lab : Lecture Grade(2/3)+Laboratory Grade (1/3)

Passing Grade: 70%

14. Classroom Policies1. Lateness

A student will be marked “late” if he/she enters the class 5 minutes after the indicated time. Any student who comes to class 15 minutes after the scheduled time or always late for two consecutive meetings shall be marked “absent”.

2. Missed Work or ExamAny student who missed to give class presentation must submit a

work assignment, or take a test should consult the concerned instructor for immediate compliance.

3. Cheating and PlagiarismAny student who committed any form of academic dishonesty shall

be given disciplinary action provided in the PSU Student’s Handbook.

4. Use of TechnologyCell phones should be turned off while the session is in progress.

Using Laptops. Notebook PC’s, Smart Phones, and tablets shall be prohibited unless the Instructor is aware of the purpose and permits the student.

15. Consultation Hours Time Day Room

3:00 – 5:00 MTH Faculty Room

Prepared by: Engr. Jonathan C. PacaldoInstructor

Noted by: Engr. Dexter NacinoChairperson, EE Dept.

Approved by: Engr. Nena G. ZaraDean, CEAT

syllabus - integral calculus.docx

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