Course Code and Title
Department of
Mathematics
MATH 177
CALCULUS 2
Curriculum:
Page 1 of 8
2024
Prepared by:
Approved by:
Revision Date:
CRV de lo Reyes / EJM Quinto
Clarinda B. Catan
Effectivity Date:
April 28, 2025
3T 2024– 2025
VISION
Mapúa University, a global leader in education, shall foster sustainable socio-economic growth in society
through innovation, digital transformation, and lifelong education.
MISSION
1.
2.
3.
The University shall provide a learning environment in order for its students to acquire the attributes that will make them
globally competitive.
The University shall engage in publishable and/or economically viable research, development, and innovation.
The University shall provide state-of-the-art solutions to problems of industries and communities.
COURSE SYLLABUS
1. Course Code:
MATH 177
2. Course Title:
CALCULUS 2
3. Prerequisite:
MATH 176 (CALCULUS 1)
4. Co-Requisite:
NONE
5. Credit:
3 Units Lecture
6. Course Description:
This course covers indefinite, definite and multiple integration. It also includes applications of definite integrals
to some physical problems such as plane area, volume of solid of revolution, centroid of plane area and solid
of revolution, force, work, length of an arc, surface area of revolution, improper integrals, and multiple
integrals as plane area and volume of solid bounded by surfaces.
7. Course Outcomes (COs)
After completing the course, the student must demonstrate the following outcomes:
1. Evaluate indefinite integrals.
2. Evaluate definite integrals and apply them to some physical problems.
3. Evaluate multiple integrals and apply them to some physical problems.
8. Design of Outcome-Based Content
Course Title
MATH 177
Credit
Units
3
CO
Code
Title
Lec
Hrs.
Lab
Hrs.
Weeks
1
Indefinite Integrals
17.5
0
5
2
Definite Integrals and Applications
17.5
0
5
3
Multiple Integrals and Applications
14
0
4
CO
Week
9. Course Coverage
Topic
TLA
Course Outcome 1: Indefinite Integrals
1
Indefinite Integrals
2
Integration of Transcendental Functions
Integration by Parts/Integration by Trigonometric
CO1
3
Transformations
4
Integration by Substitution
5
Integration of Rational Functions by Partial Fractions
Course Outcome 2: Definite Integrals and Applications
6
Definite Integrals/Plane Areas
7
Volumes of Solid of Revolution
CO2
8
Centroids/Force
9
Work/Length of an Arc/Surface Area of Revolution
10
Improper Integrals
Course Outcome 3: Multiple Integrals and Applications
11
Multiple Integrals
12
Double Integrals as Area and Volume
CO3
13
Triple Integrals as Volume
14
Summative Assessment
AT
Tech, Tools, and /or Microcredentialing Requirements
Lecture and Discussion
Lecture and Discussion
Diagnostic Exam
Homework
Lecture and Discussion
Problem Set
Blackboard/WileyPlus/
WebAssign/Coursera
Lecture and Discussion
Lecture and Discussion
Seatwork
Written Exam
Quiz 1
Lecture and Discussion
Lecture and Discussion
Lecture and Discussion
Lecture and Discussion
Lecture and Discussion
Homework
Problem Set
MATLAB Technology
Seatwork
Written Exam
Lecture and Discussion
Lecture and Discussion
Lecture and Discussion
Final Examination
Homework
Problem Set
Seatwork/ Written Exam
Final Exam
Course Code and Title
Revision Date:
Effectivity Date:
MATH 177
CALCULUS 2
April 28, 2025
3T 2024 – 2025
Prepared by:
Blackboard/WileyPlus/
WebAssign/MATLAB/Coursera
Quiz 2
Blackboard/WileyPlus/
WebAssign/Coursera
Quiz 3
Long Exam
Approved by:
Page 2 of 8
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
10. Lifelong Learning Opportunities
To fully understand the relationship of Calculus with the increasingly complex world, the students will be toured
around the mathematical principles of Calculus and will be provided with the necessary working knowledge of the
different mathematical concepts and methods. The course will utilize Blackboard, MS-Teams, Zoom, Panopto and
other online platforms to enhance the ability of the student to cope with E-learning and distance learning.
11. Contribution of the Course to Meeting the Professional Component
Engineering Topics
:
0%
General Education
: 0%
Basic Sciences and Mathematics
: 100 %
12. Prescribed E-book and/or Courseware
A. METIS (Mapua E-Text Infinity Solution)
1. Wiley: Calculus: Early Transcendentals, 11th Edition, Anton, Bivens and Davis, 2018
2. Cengage WebAssign: Calculus, International Metric Edition, 11th Edition, Larson and Edwards, 2017
B. Courseware
1. Blackboard
2. WileyPlus
3. Cengage WebAssign
4. MATLAB
5. Coursera
13. Other References and Educational Resources
1. Calculus of a Single Variable, 12th Edition, Larson and Edwards, 2022
2. Multivariable Calculus, 12th Edition, Larson and Edwards, 2022
3. Calculus: Single and Multivariable, 8th Edition, Hughes-Hallett, Gleason, McCallum, 2021
4. Calculus: An Applied Approach, 10th Edition, Larson, 2016
5. Calculus: Early Transcendentals, 9th Edition, Stewart, 2020
6. Calculus: Single and Multivariable, 2nd Edition, Blank, 2011
Websites:
1. MathWorks: < https://www.mathworks.com/ >
2. MATLAB Online: < https://matlab.mathworks.com/ >
3. Coursera: Johns Hopkins University
< Calculus through Data & Modelling: Series and Integration >
14. Course Evaluation
Student performance will be rated based on the following:
Assessment Tasks
Coursera – 10%
Diagnostic Exam – 5%
Homework/Problem Set/Seatwork/MATLAB/Portfolio – 15%
Long Quiz 1 – 10%
Long Quiz 2 – 10%
Long Quiz 3 – 10%
Final Exam CO1 – 13.33%
Final Exam CO2 – 13.33%
Final Exam CO3 – 13.33%
*** MASP: Minimum Average for Satisfactory Performance
Course
Outcome
Weight
MASP
1, 2, 3
30%
21%
1, 2, 3
30%
21%
1, 2, 3
40%
28%
The course grades will correspond to the weighted average scores (WAS) shown below.
Course
Course
Average
Average
Grade
Grade
No submission
Course Code and Title
MATH 177
CALCULUS 2
Revision Date:
April 28, 2025
ABS
Effectivity Date:
Prepared by:
Approved by:
Page
3 of 8
3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
Below 70
5.00
83 ≤ WAS < 86
2.00
70 ≤ WAS < 73
3.00
86 ≤ WAS < 90
1.75
73 ≤ WAS < 76
2.75
90 ≤ WAS < 93
1.50
76 ≤ WAS < 80
2.50
93 ≤ WAS < 96
1.25
80 ≤ WAS < 83
2.25
96 ≤ WAS ≤ 100
1.00
15. Policy on the Use of AI Tools and Technologies
The Department of Mathematics advocates the reasonable and lawful use of tools, such as Generative Artificial
Intelligence (AI) made available by technology to promote a rich and meaningful teaching and learning experience.
Such use is regulated by relevant policies set by the Department, the University, and other entities – internal or external
to the University – tasked to oversee the use of these tools.
16. Other Course Policies
a. Attendance. Student attendance will be strictly monitored. As per University policy, a student who has committed
more than 20% absence will be given a failure due to absences.
b. Guided Learning Output. Guided learning output in the form of Online Exercises in each cluster of topics are
required from the students. The students may seek clarification about the problems encountered in any online
platforms during onsite classes or through student consultation.
c. Long Exam. There will be 1 written exam (Quiz) for every course outcome and a final exam that covers the course
outcomes.
d. Course Portfolio. Selected guided learning outputs and examinations are to be compiled and collected before the
end of the term. The selection is based on statistical data gathering (lowest, median, highest). Guided learning
outputs and examinations with marks lowest, median, and highest must be photocopied/ downloaded in pdf file
format and must be given back to the instructor for course portfolio keeping.
e. Language of Instruction. Lectures, discussion, and documentation will be in English. Written and spoken work
may receive a lower mark if it is, in the opinion of the instructor, deficient in English.
f. Dress and Grooming Codes. All of us have been instructed on the Dress and Grooming Codes of the University.
g. Academic Integrity Policy. It is the student’s responsibility to refrain from infractions of academic integrity, from
conduct that may lead to suspicion of such infractions, and from conduct that aids others in such infractions. Any of
the following sanctions may be imposed to any student who is found guilty of committing online academic
dishonesty:
1. Failed mark in the course
2. Suspension for a period of less than one term, with or without community service
3. Suspension for a period of one term or more, with or without community service
4. Non-readmission to the University
5. Dismissal from the University
6. Expulsion
The following are considered academic dishonesty:
1. Using another myMapua email address to login to any platform (such as Blackboard and Coursera) with or
without permission. Asking or hiring someone else to do their exams, homework, Coursera course, papers,
projects, or other academic requirements.
2. Recording and saving copies of exam questions or answers, or answer keys for distribution.
3. Receiving copies of exam questions or answers, or answer keys to an exam from someone who has already
taken it.
4. Plagiarizing or the unethical act of stealing the thoughts of another without proper citation or reference,
acquiring information from the Internet without acknowledging the author, copying from another student’s
work without permission and submitting it as own work.
5. Massive, pre-meditated, organized online cheating using instant messaging/email during a quiz or exam.
6. Any form of dishonesty in peer-reviewed assignments/submissions (e.g. Coursera peer-graded submissions).
7. Engaging in any activities that will dishonestly improve results or dishonestly improve or damage the results
of others.
8. Any other form of dishonesty or cheating in any assessment or course requirement.
All students who violate the Academic Integrity Policy of the university will be given zero mark for the exam or for
the activity and will be given a failing grade for the course. He or she will also be referred to the Prefect of Discipline
for appropriate sanction.
h. Consultation Schedule. Consultation schedules with the Professor are posted at the Cardinal Edge Account for
the Course as well as at the Center for Student Advising (CSA) Office. It is recommended that the student first set
an appointment to confirm the instructor’s availability.
Course Code and Title
MATH 177
CALCULUS 2
Revision Date:
April 28, 2025
Effectivity Date:
Prepared by:
Approved by:
Page
4 of 8
3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
i.
Appeal System. All appeals on student assessment must be made by the concerned student within one week after
the return of the assessed student work. In case the student is not satisfied, no later than one week after the decision
of the faculty has been made, he can elevate the appeal to the program chair or dean in case there is no program
chair. The decision of the program chair or dean is final. The faculty must abide with the moderated decision of the
program chair or dean.
17. Course Materials to be Provided to Students
17.1 Course Syllabus
17.2 Course Schedule (see Annex A)
17.3 Lecture Notes
18. Committee Members
Course Cluster Chair:
CQI:
Course Code and Title
MATH 177
CALCULUS 2
Ms. Clarinda Catan
Mr. Servando Bernardo
Revision Date:
April 28, 2025
Effectivity Date:
Prepared by:
Approved by:
Page
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3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
ANNEX A: COURSE SCHEDULE
MATH177 (CALCULUS 2)
WK
DAY/DATE
TOPIC/S
TLA
AT
CO
MODE
Course Outcome 1: Indefinite Integrals
1
2
3
4
5
1
Orientation: About the Course
Lecture/
Discussion
Class
Participation
Face-to-Face
2
Indefinite Integrals
Lecture/
Discussion
Class
Participation
Face-to-Face
3
Diagnostic Examination
Diagnostic Exam
Diagnostic Exam
(DE)
Asynchronous
1
Integrals Leading to Natural Logarithmic
Functions
Lecture/
Discussion
Class Participation
Face-to-Face
2
Integration of Exponential Functions
Lecture/
Discussion
Homework
(HW1)
Face-to-Face
3
Integration of Trigonometric/Hyperbolic
(sinh u/cosh u) Functions
Coursera
Online Activity
Synchronous
1
Integration of Inverse Trigonometric Functions
Lecture/
Discussion
Problem Set
(PS1)
Face-to-Face
2
QUIZ 1 – Part 1
Written Exam
Quiz (Q1)
3
Integration by Parts
Coursera
Online Activity
Asynchronous
1
Integration by Trigonometric Transformations
Lecture/
Discussion
Class Participation
Face-to-Face
2
Integration by Algebraic Substitution
Lecture/
Discussion
Homework
(HW2)
Face-to-Face
3
Integration by Trigonometric Substitution
Coursera
Online Activity
Synchronous
1
Integration of Rational Functions by Partial
Fractions
Lecture/
Discussion
Seatwork
Face-to-Face
2
QUIZ 1 – Part 2
Written Exam
Quiz (Q1)
Face-to-Face
3
Coursera Course
Coursera
Online Activity
Asynchronous
Face-to-Face
CO1
Face-to-Face
Course Outcome 2: Definite Integrals and Applications
6
1
Definite Integrals
Lecture/
Discussion
Class Participation
2
Area under a Curve
Lecture/
Discussion
Homework
(HW3)
3
Area Between Curves
Coursera
Online Activity
Course Code and Title
MATH 177
CALCULUS 2
Revision Date:
April 28, 2025
Effectivity Date:
Prepared by:
CO2
Face-to-Face
Synchronous
Approved by:
Page
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3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
WK
7
8
9
10
DAY/DATE
TOPIC/S
TLA
AT
CO
MODE
1
Volume of Solid of Revolution (DISK Method)
Lecture/
Discussion
Class Participation
Face-to-Face
2
Volume of Solid of Revolution (RING Method)
Lecture/
Discussion
Problem Set
(PS2)
Face-to-Face
3
Volume of Solid of Revolution (SHELL Method)
Coursera
Online Activity
Asynchronous
1
Centroid of Plane Area
Lecture/
Discussion
Class Participation
Face-to-Face
2
Centroid of Solid of Revolution
Lecture/
Discussion
MATLAB
(MA)
Face-to-Face
3
Force Due to Liquid Pressure
Coursera
Online Activity
Synchronous
1
Work
Lecture/
Discussion
Class Participation
Face-to-Face
2
Length of an Arc
Lecture/
Discussion
Homework
(HW4)
Face-to-Face
3
Area of Surface of Revolution
Coursera
Online Activity
Asynchronous
1
Improper Integrals
Lecture/
Discussion
Seatwork
Face-to-Face
2
QUIZ 2
Written Exam
Quiz (Q2)
Face-to-Face
3
Coursera Course
Coursera
Online Activity
Synchronous
Course Outcome 3: Multiple Integrals and Applications
11
12
13
1
Evaluation of Double Integrals
Lecture/
Discussion
Class Participation
Face-to-Face
2
Evaluation of Triple Integrals
Lecture/
Discussion
Homework
(HW5)
Face-to-Face
3
Coursera Course
Coursera
Online Activity
Asynchronous
1
Reversing the Order of Integration
Lecture/
Discussion
Class Participation
Face-to-Face
2
Double Integrals as Plane Area
Lecture/
Discussion
Problem Set
(PS3)
Face-to-Face
3
Double Integrals as Volume of Solid bounded
by Surfaces
Coursera
Online Activity
Synchronous
1
Triple Integrals as Volume of Solid bounded by
Surfaces
Lecture/
Discussion
Seatwork
Face-to-Face
2
QUIZ 3
Written Exam
Quiz (Q3)
Face-to-Face
3
Coursera Course
Coursera
Online Activity
Asynchronous
Course Code and Title
MATH 177
CALCULUS 2
Revision Date:
April 28, 2025
Effectivity Date:
Prepared by:
CO3
Approved by:
Page
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3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto
WK
14
DAY/DATE
TOPIC/S
1
Summative Assessment
2
Consultation and Verification
3
Coursera Certificate
Course Code and Title
MATH 177
CALCULUS 2
Revision Date:
April 28, 2025
TLA
AT
Final Examination
Final Exam
Face-to-Face
Consultation and
Verification
Face-to-Face
Online Activity/
Portfolio
Asynchronous
Coursera
Effectivity Date:
Prepared by:
CO
MODE
Approved by:
Page
8 of 8
3T 2024 – 2025
Clarinda B. Catan
CRV de los Reyes / EJM Quinto