College of Engineering and Architecture SYLLABUS

Department of Electrical Engineering Course Title: Calculus II

Course Code: Math112a
Credits: 3 units (3 hours lecture per week )
USTP Vision Semester/Year: 2nd Sem. SY 2019-2020 Prerequisite(s): Calculus I
  Class Schedule: MTh 1330-1500H; 16300-1800H Co-requisite(s):
A nationally-recognized Science and Bldg./Rm. No.: 42-504
Technology (S&T) university providing the
vital link between education and the
Instructor: Rosalie Vertudes Consultation Schedule: W 1300-1700H
economy Email: Rosalie.vertudes@ustp.edu.ph Bldg. Rm. No.: 43-302 (EE Faculty Room)
  Mobile No.: Office Phone No./Local:
USTP Mission
  I. Course Description:
 Bring the world of work (industry) This course is designed for undergraduate students in Engineering with a prerequisite of a standard course in differential calculus. This course covers the basic
into the actual higher education and
training of the students; definitions terminology in integration, power formula, and other integration formulas. It covers applications of integration to: areas, volumes of solids of
 Offer entrepreneurs of the revolutions, centroids, moment of inertia, fluid pressure, and work.
opportunity to maximize their
business potentials through a gamut II. Course Outcome:
of services from product
conceptualization to
commercialization;
Course Outcomes (CO) Program Outcome (PO)
 Contribute significantly to the At the end of the course students are able to: a b c d e f g h i j k l m n
national development goals of food CO1: Properly carry out integration through the use of the fundamental formulas and/or
I I I I
security and energy sufficiency the various techniques of integration for both single and multiple integrals.
through technology solutions.
  CO2: Correctly apply the concept of integration in solving problems involving evaluation
I I I I
Program Educational Objectives: of areas, volumes, work, and force.
 Three to Five years from Graduation:
PEO1: The graduates are industry- CO3: Sketch 3-dimensional regions bounded by several surfaces. I I I I
competent electrical practitioners. CO4: Evaluate volumes of 3-dimensional regions bounded by two or more surfaces
I I I I
through the use of the double or triple integral.
PEO2: The graduates are significant
contributors to the national development
through electrical engineering solutions and
innovations.

PEO3: The graduates are thought

leaders and catalyst for improvement in the
industry, business, and academe.

Program Outcomes: III. Course Outline:

The graduates of the BSEE Program
will be able to:
a. Apply knowledge of mathematics, Allotte Course Intended Learning Topic/s Suggested Teaching- Assessment Grading Remarks
sciences, and engineering to solve complex d Time Outcome Outcomes (ILO) Readings Learning Tasks/Tools Criteria
 UNIVERSITY OF SCIENCE AND TECHNOLOGY Document Code No.

OF SOUTHERN PHILIPPINES FM-USTP-ACAD-01

Rev. No. Effective Date Page No.
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon 01 01.05.20 2 of 6

engineering problems appropriate to the (hr) s (CO) Activities

field of electrical engineering practice.
12 hrs CO1 1. Explain the course 1. Integration The Calculus 7, 1. Lecture/ 1. Pre- Refer to
b. Analyze complex electrical engineering topics, requirements Concept / Formulas Leithold, L. , discussion attached
problems and formulate solutions using and the grading 1996 (Reprinted Class rubrics
principles of mathematics and engineering system, class policies 1.1 Anti- 2. Exercises
sciences. Differentiation 2002) Discussions
and university rules. 3. Quizzes
c. Design, implement, and evaluate
systems, components, or processes to meet 1.2 Indefinite 2. Small Group
2. Discuss the main 4. Seatwork’s
desired needs and requirements within Integrals
identified constraints. objective/s of the Works
course, its importance 1.3 Simple Power 5. Board
3. Student-led works
d. Design and conduct experiments, as a prerequisite to Formula
analyze and interpret data in electrical recitations
higher Math subjects
engineering fields specifically on power 1.4 Simple 6. Discussion
systems, power electronics, renewable and its relevance to 4. Concept
Trigonometric by students
energy, and power economics Electrical Engineering questions
program Functions 7. Homework
e. Apply knowledge through the use of
current techniques, skills, and modern 3. Familiarize 1.5 Logarithmic 8. Problem Set
engineering tools necessary for integration concept, Function
electrical engineering practice. 9. Major
integration formulas 1.6 Exponential
f. Discuss contemporary issues involving and to countercheck Function Examinations
societal, health, safety, professional, anti-differentiation by
ethical, legal, and cultural concerning the its inverse problem 1.7 Inverse
practice of electrical engineering Trigonometric
profession.
Functions
g. Explain the effects of electrical
engineering solutions in a comprehensive 1.8 Hyperbolic
societal, economics and environmental Functions
context for sustainable development goals.
h. Recognize professional, social, and 1. 9 General Power
ethical responsibility for the practice of Formula
electrical engineering profession.
1.10 Constant of
i. Work effectively as an individual and as Integration
a member or a leader in a trans–
disciplinary and multi–cultural teams 1.11 Definite Integral
recognizing the different roles within a
team to accomplish a common goal. 12 hrs CO1 & 1. Familiarize 2. Integration The Calculus 7, 1. Lecture/ 1. Pre- Refer to
j. Proficient in business and technical
CO2 different integration Techniques Leithold, L. , discussion attached
1996 (Reprinted Class
communication, and internationally
 UNIVERSITY OF SCIENCE AND TECHNOLOGY Document Code No.

OF SOUTHERN PHILIPPINES FM-USTP-ACAD-01

Rev. No. Effective Date Page No.
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon 01 01.05.20 3 of 6

accepted Electrical Engineering standards. techniques 2.1 Integration by 2002) Discussions 2. Exercises rubrics
k. Use engineering and management
Parts
2. Identify and choose 2. Small Group 3. Quizzes
principles as a member or a leader in a
team, to manage projects and in
appropriate 2.2 Trigonometric
techniques to find the Integrals Works 4. Seatwork’s
multidisciplinary environment.
general anti- 3. Student-led 5. Board
l. Recognize the need to be updated of the derivative of product 2.3 Trigonometric
developments in the specific field of
recitations works
of trigonometric Substitution
practice of electrical engineering and be
prepared to engage in life – long learning functions 4. Concept 6. Discussion
2.4 Rational Functions questions by students

m. Participate in the generation of new 2.5 Rationalizing 7. Homework

knowledge and advancement of existing
knowledge, in research and development Substitution 8. Problem Set
projects, and in technopreneurial activities
in the areas of power systems, power 9. Major
electronics, renewable energy, and power
economics aligned to regional and national Examinations
development agenda or goals.
3 hours MIDTERM EXAMINATION
n. Preserve and promote the Filipino
historical and cultural heritage 12 hrs CO2 1. Deal with several 3. Improper Integrals The Calculus 7, 1. Lecture/ 1. Pre- Refer to
integration 4. Application Leithold, L. , discussion attached
Code Descriptor applications with deep Definite Integrals 1996 (Reprinted Class rubrics
concentration to 4.1 Plane Area 2. Exercises
I Introductory Course
2002) Discussions
E Enabling Course
engineering sciences 4.2 Areas Between 3. Quizzes
2. Solve problems Curves 2. Small Group
D Demonstrative Course
using integration on 5. Other Applications 4. Seatwork’s
Code Definition different applications. 5.1 Volumes Works
An introductory course to
5.2 Work 5. Board
I 3. Student-led
an outcome works
A course that strengthens
5.3 Hydrostatics recitations
E Pressure and Force
the outcome 6. Discussion
A course demonstrating an 4. Concept by students
D questions
outcome
7. Homework
8. Problem Set
9. Major
 UNIVERSITY OF SCIENCE AND TECHNOLOGY Document Code No.

OF SOUTHERN PHILIPPINES FM-USTP-ACAD-01

Rev. No. Effective Date Page No.
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon 01 01.05.20 4 of 6

Examinations
12 hrs CO3 & 1. Familiarize and 6. Multiple Integral The Calculus 7, 1. Lecture/ 1. Pre- Refer to
CO4 convert coordinates (Inversion of Leithold, L. , discussion attached
from one form to Order/Change of 1996 (Reprinted Class rubrics
another by relating Coordinates) 2. Exercises
2002) Discussions
the Polar, the 3. Quizzes
cylindrical and the 6.1 Double Integrals 2. Small Group
Rectangular Cartesian 6.2 Triple Integrals 4. Seatwork’s
Works
Coordinates.
7. Surface Tracing 5. Board
3. Student-led works
2. Identify and sketch
7.1 Planes recitations
the graphs of certain
6. Discussion
equations in polar and 4. Concept
7.2 Spheres by students
rectangular form. questions
7.3 Cylinders 7. Homework
7.4 Quadratic 8. Problem Set
Surfaces
9. Major
7.5 Intersection of
Surfaces Examinations

8. Multiple Integral
as
Volume
8.1 Double Integrals
8.2 Triple Integrals
3 hours FINAL EXAMINATION

IV. Course Requirements:

1. Class attendance and participation policy:
 Students are expected to be present in all class periods. Allowed number of absences will be accounted according to
school policy (refer to student handbook) for the current semester.
 Tardiness is not tolerated.
 UNIVERSITY OF SCIENCE AND TECHNOLOGY Document Code No.

OF SOUTHERN PHILIPPINES FM-USTP-ACAD-01

Rev. No. Effective Date Page No.
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon 01 01.05.20 5 of 6

 Taking of lecture notes is an integrated function of every student as well as studying and participating in class.
 Calculator and textbook are requirements for attendance thus, students are required to have a calculator and copy textbook
assign on this subject and should be brought all the time.
 No borrowing of class materials, i.e., calculator, notes, books, etc. during exams activity. Violation of this is considered
cheating.
 Cellular phones should be off or in silent mode. Violation of this policy will have a corresponding punishment/s.
2. Course Readings/Materials:
(a) Titles, authors, and editions of textbooks and other materials, required and recommended
 TC7 by Louis Leithold, Addison-Wesley Publishing Company, Inc., Reprinted 2002
 Differential and Integral Calculus by Clyde E. Love, Earl D. Rainville 6th Edition
 CDIO (Conceive, Design, Implement, Operate) Initiatives, http://www.cdio.org/

(b) Supplies needed (calculators, software’s, workbooks, disks, CDs, lab supplies, art supplies, etc.)

 Whiteboard/ Blackboard
 Whiteboard Marker/ Chalk
 LCD Projector, Monitors
 Laptop/Computer
 Calculator/Graphing Calculator
 Pen, pencil and graphing paper

( c) URLs for online resources

 http://www.cdio.org/

3. Assignments, Assessment, and Evaluation

(a) Policy concerning homework – 6 homework/assignment in a Term
(b) Policy concerning make-up exams – refer to student handbook
( c) Policy concerning late assignments/requirements – late assignments will not be accepted
(d) Preliminary information on term papers or projects, with due dates – late projects will be given equivalent deduction per day
(e) List of assignments that will impact the final grade and % weight given each - 3 assignments per term
(f) Description in detail of grading processes and criteria (how many quizzes, tests, papers; weighting of each; amount of homework, etc.) or the
GRADING POLICY
(Passing Percentage is 70 %)
 UNIVERSITY OF SCIENCE AND TECHNOLOGY Document Code No.

OF SOUTHERN PHILIPPINES FM-USTP-ACAD-01

Rev. No. Effective Date Page No.
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon 01 01.05.20 6 of 6

Periodic Grade Lecture Grade:

Periodic Exam 30% Midterm = 50%CO1 + 50%CO2 50%
Quizzes/Preliminary Exam 40% Final = 20%CO2 + 40%CO3 + 40%CO4 50%
Performance Task 20% Final Grade =
Class Standing Performance 10% 100%
100%

50% Midterm Grade (MT) + 50% Finals Grade (FG) = Final Grade
Note: Drill Problems/ Seatwork’s/ Attendance and Assignments (DSLA)
Performance Task – Evaluation is made using a Rubrics for the Final Project, Presentation, and Video
(g) Subject-to-change notice – TBA
(h) Date and time of Final Exam – See University Calendar of Activities
4. Use of VLS in class to distribute course materials, to communicate and collaborate online, to post grades, to submit assignments, and to give you online
quizzes and surveys.
• Edmodo Code: TBA

Disclaimer:

Every attempt is made to provide a complete syllabus that provides an accurate overview of the subject. However, circumstance s and events make it necessary for the instructor to modify the syllabus during the
semester. This may depend, in part, on the progress, needs, and experiences of the students.

Prepared by: Recommending Approval: Approved by:

Rosalie Vertudes, REE Rojien V. Morcilla, PEE,MoE Engr. Leonel L. Pabilona, DEng.
Instructor Chairman Dean