Rogationist College

(St. Anthony’s Boys Village) Inc.

Km. 52 Emilio Aguinaldo Highway, Lalaan 2nd, Silang Cavite

 
DIRECTORATE FOR ACADEMIC AFFAIRS
COLLEGE DEPARTMENT

Cluster of Engineering and Industrial Technology Education

Bachelor of Science in Electronics Engineering (BSECE)

COURSE SYLLABUS
2nd Semester
A.Y. 2020-2021

Course Code : MAT21

Course Title : Calculus 2
Units : 4-unit lecture
Pre-requisite : Differential Calculus
Instructor : Jonathan R. Casilla
Email Address : casillajonathan18@gmail.com
Synchronous Class Schedule :
Asynchronous Class Schedule :
Consultation Period :

A. COURSE DESCRIPTION

This course is a 4-unit course which aims to help the students deal with the basic topics of integration on
functions of a single real variable: the fundamental theorem of calculus, applications of integrations, techniques of
integration, sequences, and infinite series. The emphasis in this course is on problem solving, not on the
presentation of theoretical considerations. While the course includes some discussion of theoretical notions, these
are supporting rather than primary.

B. VISION-MISSION-REALIZATION

RC CHED
Institutional Contribution National Impact
VISION MISSION VISION-
MISSION
Rogationist 1.Form its The Important  for Improved in
College is a members toward Commission on understanding a wide determining the
prime love of God and Higher range of real-world amount of the
Catholic neighbor, Education problems, including a necessary materials
patriotism, integrity
educational and excellence;
catalyzes a range of contexts in to construct curved
community 2.Offer a balanced Philippine higher physics and engineering, shape constructions
dedicated to and technically- education and is also significant and also to measure
the oriented system that is when studying mathematic the weight of that
formation of curriculum, as well locally s (e.g., real and complex structure. Calculus is
culturally as excellent responsive and analysis) used to improve the
competent instruction, globally architecture not only
and socially learning competitive and of buildings but also
responsible environment and serves as a of important
facilities;
persons 3.Prepare well-
force for lifelong infrastructures such
driven by rounded graduates learning, as bridges.
the ideals of who are agents of innovation, and
Saint social growth and social and
Hannibal transformation; cultural
Mary Di and transformation.
Francia. 4.Promote a
culture of vocation
and good workers
who, like Saint
Hannibal, will be
espousing the
cause of the poor
especially the
children.
 C. ROGATIONIST COLLEGE CORE VALUES
RCian graduates are expected to be:

Love of God and Patriotism Integrity Excellence

Neighbor
founded to their advocates of the Filipino models of honesty, eminent in their
discipline with a natural cultures and values in decency, and profession, and always
sense and desire to be the modern world uprightness in the striving for innovation to
of help to others, leading to better workplace as reflected better their quality of
especially to the poor, understanding and in work-initiatives and work and service given
sharing their gift of acceptance of cultural decision-making skills. to all.
person founded on diversity.
Catholic faith.

D. PROGRAM LEARNING OUTCOMES (PLO)

Upon graduation of the program, the graduate is expected to be able to do the following:
1. Write the definition of indefinite and definite integrals.
2. Recall integration by substitution.
3. Define the natural logarithmic, natural exponential, general exponential, general logarithmic
functions, their integrals.
4. Define the integral of the inverse trigonometric and hyperbolic functions.
5. Recognize the different techniques of integration (by parts, trigonometric integrals, partial
fractions).
6. Recognize the different types of indeterminate forms.
7. State the definition of improper integrals.

E. ALIGNMENT OF PROGRAM TO THE RC CORE VALUES

RCCV1 RCCV2 RCCV3 RCCCV4
   

F. CORE CURRICULUM LEARNING OUTCOMES

Upon completion of the core curriculum, the learners should be able to:
1. recognize and respect different perspectives by being open to the ideas and views of others.
2. adapt successfully to the changing situations and environments.
3. work confidently within a group and collaborate with colleagues when doing the learning
activities.
4. plan activities, manage time effectively and prioritize tasks.
5. decide on the steps needed to achieve a particular goal, and implement them
6. demonstrate critical thinking skills to make honest, reasonable and intelligent decision
7. convey ideas effectively in all forms of communication.
8. exemplify the values and cultures of an RCIAN as he/she serves as an agent of social growth
and social transformation.
9. exemplify good leadership skills, and the culture of good workers in the church, promoting the
cause of the poor, especially the children.

G. ALIGNMENT OF PROGRAM TO THE CORE CURRICULUM LEARNING OUTCOMES

CCLO1 CCLO2 CCLO3 CCLO4 CCLO5 CCLO6 CCLO7 CCLO8 CCLO9

        

H. COURSE LEARNING OUTCOMES (CLO):

On the completion of the course, the learner is expected to be able to do the following:
1. Evaluate indefinite and definite integrals, involving logarithmic and exponential functions
2. Solve problems involving Mean – Value Theorem and the Fundamental Theorem of Calculus.
3. Evaluate integrals by different methods of integration.
4. Differentiate between different types of indeterminate forms and finding limit of functions.
5. Calculate areas of plane regions and arc length.
6. Calculate areas of plane regions and arc length using polar coordinates.

I. ALIGNMENT OF COURSE TO THE CORE CURRICULUM LEARNING OUTCOMES

CCLO1 CCLO2 CCLO3 CCLO4 CCLO5 CCLO6 CCLO7 CCLO8 CCLO9

CLO2, CLO2, CLO2, CLO1 CLO2, CLO4, CLO4 CLO3 CLO5,
CLO5 CLO3 CLO5 CLO5 CLO5 CLO6
 J. ALIGNMENT OF COURSE TO THE PROGRAM LEARNING OUTCOMES
PLO1 PLO2 PLO3 PLO4 PLO5 PLO6 PLO7
      

K. ASSESSMENT AND GRADING SYSTEM

Rubrics for Problem Solving Quizzes/Online Activity

CRITERIA POOR FAIR GOOD EXCELLENT SCORE
Problem- 1 4 7 10
Solving Does not Identifies desired Identifies most of Identifies desired
Approach  understand how output. Identifies the desired output and given
to begin the given information. output and given information.
problem. Lists a May not make all information. Makes necessary
few equations but necessary Makes necessary simplifying
does not display simplifying simplifying assumptions.
understanding of assumptions. assumptions. Lists all required
how to utilize Lists one or two Lists all required equations in a
them to achieve a key equations. equations. logical sequence.
correct final Calculation below Calculation Calculation very
solution. satisfactory satisfactory organized.
Calculation not organized.  organized. Includes all
organized. Includes figure Includes all required
Does not include but makes two or required diagrams and
circuit figure and more errors in diagrams and units labeled
label. labeling. labeled correctly. correctly 
Overall report is Overall report is No more than Overall report is
not kept neat. kept in a below one error.  kept very neat. 
satisfactory Overall report is
condition.  kept in a
satisfactory
condition. 

Problem solving is a compilation of problems which aims to encourage the students for further reading,
formula familiarization and develop critical thinking through analysis. Also, the student can practice brain-storming
and self-evaluation.

Rubric for the Final Output

CRITERIA POOR FAIR GOOD EXCELLENT SCORE
Purpose and 10 20 30 40
Focus Limited An attempt to Focused on a Establishes and
(40%) awareness of establish and purpose; maintains clear
audience and/or maintain purpose evidence of voice focus; evidence
purpose and communicate and/or suitable of distinctive
with the audience tone voice and/or
appropriate tone

Development of 5 15 25 35
Ideas Minimal idea Unelaborated Depth of idea Depth and
(35 %) development, idea development complexity of
limited and/or development; supported by ideas supported
unrelated details unelaborated elaborated, by rich, engaging,
and/or repetitious relevant details pertinent details;
details evidence of
analysis,
reflection, and
insight
Application of 0 5 10 15
Engineering No or erroneous Serious Effective Critical selection
Principles application of deficiencies in application of and application of
(15 %)
engineering proper selection engineering engineering
principles yielding and use of principles principles
unreasonable engineering resulting in ensuring
solution. principles. reasonable reasonable
solution. results.
Grammar and 1 4 7 10
Formatting Error in grammar Some errors in Few errors in There is no error
 (10 %) and format (e.g. grammar and/or grammar of in grammar and
spelling, format that do not format relative to format
punctuation, interfere with length and
capitalization, communication complexity
headings)

Final output measures the student’s over-all learning of the subject. Also, it exposes the students to
problem solving and critical thinking. They are challenged to present their learning in creative manner.

Description of Criteria:

Purpose and Focus

The video presentation should establish and maintains clear focus on the subject matter.

Development of Ideas
The video presentation observes the student to develop own idea, with depth and complexity, supported by
rich, engaging, pertinent details; evidence of analysis, reflection, and insight.

Application of Engineering Principles

The video presentation comes from critical selection and application of engineering principles ensuring
reasonable results.

Grammar and Formatting

The video presentation should follow the format given, the font size and font style, and time requirement.

OTHER REQUIREMENTS AND ASSESSMENTS:

Aside from the final output, the student must also pass the compilation of their graded exams, seatwork,
and problem sets.

GRADING SYSTEM

The students should be graded according to the following:

 Major Examination 40%

 Quizzes 30%
 Problem Set 20%
 Online Activity / Seatwork 5%
 Recitation 5%
100%

Prelim+ Midterm+ Finals

Subject Grade=
[( 3 ) ]
× 0.9 + [ Final Output × 0.1 ]

Grading Scale:
% Score below 75 75 – 76 77 – 79 80 – 82 83 – 85 86 – 88 89 – 91 92 – 94 95 – 97 98–100

Grade Point 5.00 3.00 2.75 2.50 2.25 2.00 1.75 1.50 1.25 1.00

L. LEARNING PLAN:

SPECIFIC LEARNING ACTVITIES COURSE

TOPIC ASSESSMENT /
LEARNING LEARNING
(CHED OUTLINE)
OBJECTIVES
SYCNCHRONOUS ASYNCHRONOUS OUTCOMES
OUTPUT

Module 1: Fundamental Theorem of Calculus

A. Indefinite 1.State the 1. Discussion during 1. Give problem sets CLO1, 1. Performan
Integrals definition of lecture. based on the CLO2, CLO3 ce through
B. Properties of integral calculus 2. Give extensive topics. discussion
examples during lecture. 2. Give quizzes, s during
Integrals 2.Difference
3. Give homework and major exams. lectures
C. Definite between definite Online Activities. 2. Follow up
Integrals and indefinite
D. General integrals the
Properties of 3.Solve problems homework
Definite that involves assignmen
indefinite and ts.
Integral
definite integrals
E. Even and Odd
Functions

PRELIMINARY
EXAMINATION
Module 2. Fundamental Integration Formulas
A. The General 1.Enumerate the 1. Discussion during 1. Give problem sets CLO1, 1. Performan
Power formulas of lecture. based on the CLO2, CLO3 ce through
Formula Integral Calculus 2. Give extensive topics. discussion
examples during lecture. 3. Give quizzes, s during
B. Logarithmic 2.Solve problems
3. Give homework and major exams. lectures
Functions involving different Online Activities. 2. Follow up
C. Exponential functions the
Functions 3.Apply formula to homework
D. Trigonometric solve complex assignmen
Functions problems ts.
E. Inverse
Trigonometric
Functions

Module 3. Techniques of Integration

A. Integration by 1.States the 1. Discussion during 1. Give problem sets CLO1, 1. Performan
Parts different lecture. based on the CLO2, CLO3 ce through
B. Integration by techniques using 2. Give extensive topics. CLO4, discussion
examples during lecture. 2. Give quizzes, s during
Substitutions in integral
3. Give homework and major exams. lectures
C. Integration of calculus Online Activities. 2. Follow up
Rational 2.To familiarize the
Functions different homework
D. Change of integration assignmen
Limits with techniques ts.
Change of 3.Apply those
Variable techniques to
solve complex
problems

MIDTERM
EXAMINATION
Module 4. Applications of Integration
A. Plane Areas 1.Apply 1. Discussion during 1. Give problem sets CLO1, 1. Performan
in Rectangular integrations in lecture. based on the CLO2, CLO3 ce through
Coordinates different 2. Give extensive topics. CLO4, discussion
examples during lecture. 2. Give quizzes, CLO5, CLO6 s during
B. Planes Areas applications
3. Give homework and major exams. lectures
in Polar 3.Solve complex Online Activities. 2. Follow up
Coordinates problems the
C. Length of Arc involving homework
applications of assignmen
in Polar Plane
integration ts.
D. Length of Arc
in XY-Plane
E. Volumes of
Solids of
Revolution

FINAL
EXAMINATION

M. REFERENCES:

Love, C. and Rainville, E. (1962). Differential and Integral Calculus. New York. Macmillan Co.
Mateo, R. Ymas, Jr., S. and Perez, A. (2002). Integral Calculus. Manila. Sta. Monica Printing Corp.
Peterson, T. (1960). Calculus with Analytic Geometry. New York. Harper and Brothers
 N. ACTUALIZATION OF THE COURSE (OBE)

 Integral Symbol
 Integrand
 Constant of Integration
 Indefinite Integral
 Definite Integral
 Limits
 Trigonometric Function
 Inverse Trigonometric Function
 Exponential Function
 Logarithmic Function

O. Course policy

1. Students are expected to be punctual in attending their class. The class is once a week, students who incur
more than seven (7) hours absences are ineligible to pass the course unless the absences are approved
absences.
2. Requirements shall be submitted on the indicated due date before the start of the class. Requirements
submitted after the due date will not be accepted unless valid reasons are presented.
3. Quizzes and Major Examinations shall be given on the scheduled session.
4. Students are expected to display the highest degree of intellectual honesty and professionalism in their class
work, requirements and activities and in dealing with their teachers.
5. Cellular phones should be turned off or in silent mode during the class.
6. The professor is open to suggestion. Requests and concerns related to the course should be discussed in the
class or to the professor during the consultation hour.

Prepared by: Checked by:

Jonathan R. Casilla Dr. Jhodelix M. Sarcilla

Faculty Member Program Chair

Recommended by: Approved by:

Dr. Jhodelix M. Sarcilla Fr.Danny C. Montana,RCJ

Asst. Dean DAA