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Republic of the Philippines
Surigao del Sur State University
Bislig Campus
Maharlika, Bislig City Surigao del Sur
ENGINEERING DEPARTMENT
NEW NORMAL COURSE SYLLABUS IN
MATH 211 – DIFFERENTIAL EQUATIONS
1ST Semester, A.Y. 2020 – 2021
VISION
A leading “Glocal” University with widened academic perspectives that focus on attaining
food security, supporting poverty alleviation, developing renewable energy, and conserving natural
environment.
MISSION
SDSSU shall provide competency-based higher education training driven by relevant and
responsive instruction, research, extension and sustainable resource management.
PROGRAM GOALS
The Human Resource Development Program aims to prepare the graduates for a career in
the field of Human Resource Management in various corporations whether in the manufacturing,
marketing and service sectors, or in the different types of industries such as pharmaceutical, semiconductor, food and beverage, banking industries and other types of organizations.
CORE VALUES
Competence
A combination of observable and measurable knowledge, skills, abilities, and personal
attributes that contribute to enhance SDSSU employee and student performance and ultimately
result in organizational success.
Accountability
Responsibility for own actions, decisions and commitment to accomplish work in an ethical,
efficient, cost-effective and transparent manner manifesting the value of sound stewardship in the
wise use of resources for common good.
Responsiveness
A prompt action, consistent communication, quality information, and a focus on providing
a superior experience to stakeholders.
Excellence
The quality spectrum at exceptional levels demonstrated by learning outcomes and the
development of shared culture of quality consistent with the vision, mission and goals of University.
Service
Dedication for a continuous improvement of services, stakeholder’s relationships and
partnership which stresses interdependence and collaboration for a sustainable success of clients
and their communities in helping build a just, peaceful, stable and progressive Filipino nation.
SDSSU CARES…
MATH 211 – Differential Equations (AY 2020-2021)
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These core values are not descriptions of the work we do, nor the strategies we employ to
accomplish our University vision. They are the core values that underlie our works and interactions
as we internalize responsibilities to fulfill our mission. They are the basic elements of how we go
about our work and how we deal with stakeholders, mold students to become competent,
innovative, globally competitive and service-oriented.
Goals of the University
These are the specific goals in the four (4)-fold functions of the University:
KRA 1. Instruction
Develop highly competent, globally-competitive and morally upright graduates.
KRA 2. Research
Produce research for the advancement of knowledge, new technology and innovative
approaches for competitive endeavors.
KRA 3. Extension
Empower the rural poor to improve their lives through transfer of technologies and
knowledge.
KRA 4. Production
Sustain University operations through viable and profitable income generation projects.
GOALS OF THE COLLEGE
1. To deliver globally adaptable system of instructions with enhanced ability to acquire
advances in engineering and its allied field.
2. To be self-reliant through effective and efficient generation, allocation and utilization of
resources on avenues that advocates the great welfare of the local and global communities
prepared to respond to the emerging trends.
3. To promote advances in research developments that extends sustainable practical
solutions to the challenges of engineering and industrial fields benefiting the socioeconomic and environmental growth of the local and global communities prepared to
respond to the emerging trends.
MATH 211 – Differential Equations (AY 2020-2021)
PROGRAM LEARNING OUTCOMES OF THE SUBJECT
At the end of the course, the students would be able to:
Knowledge
1. Apply integration for the evaluation of areas, volumes of revolution, force and work.
Skills
2. Use integration technique on single and multi-variable functions.
Values
3. Explain the physical interpretation of the double and triple integrals.
PROGRAM LEARNING OUTCOMES OF THE PROGRAM
a) Apply knowledge of mathematics and science to solve complex mechanical engineering
problems.
b) Design and conduct experiments, as well as to analyze and interpret data.
c) Design a system, component, or process to meet desired needs within realistic constraints,
in accordance with standards;
d) Function in multidisciplinary and multi-cultural teams;
e) Identify, formulate, and solve complex mechanical engineering problems;
f) Understand professional and ethical responsibility;
g) Communicate effectively;
h) Understand the impact of mechanical engineering solutions in a global, economic,
environmental and societal context.
i) Recognize the need for, and engage in life-long learning
j) Know contemporary issues;
k) Use techniques, skills and modern engineering tools necessary for mechanical
engineering practice;
l) Know and understand engineering and management principles as a member and leader
of a team, and to manage projects in a multidisciplinary environment;
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COURSE INFORMATION:
Course Code & Title
MATH 211 – DIFFERENTIAL EQUATIONS
Course Credit:
3 UNITS
Course Description
This course is intended for all engineering students to have a
firm foundation on differential equations in preparation for their
degree specific advanced mathematics courses. It covers first
order differential equations, nth order linear differential
equations and systems of first order linear differential
equations. It also introduces the concept of Laplace Transform
in solving differential equations.
Contact Hour
3 hours every week
Term
First Semester
The SDSSU Flexible Learning Approach
Situation
Learners with Connectivity
Modified General
Community Quarantine
(MGCQ)
Classes will be conducted using the following:
➢ Use of E-book, the link will be provided by the Instructor/Professor
➢ Internet materials, the link will be provided by the Instructor/Professor
➢ By e-mail
➢ Subscribe online Program-on-line subjects/courses, the link will be
provided by the Instructor/Professor
➢ Lecture Streaming Method by Facebook
➢ Webinar via messenger or Zoom cloud
➢ Using social media platform besides Facebook
➢ Guided learning by faculty prepared learning module
➢ Using blended learning with limit face to face contact and with the
integration of online learning strategy
In face-to face learning model, the following shall be observed:
➢ Social Distancing
➢ Class groupings with 20 students shall be observed
➢ Class grouping will be scheduled (by group)
The online learning for blended learning shall be used.
Using the following strategy:
➢ Using Facebook (FB)
➢ Use of e-book with link
➢ Internet materials with link
➢ Subscribe online learning lesson
Employing Webinar
Using Social Media platform besides FB
MATH 211 – Differential Equations (AY 2020-2021)
Learners without Connectivity or Internet Connection
Offline Method shall be used:
➢ Video teaching
➢ Guided learning using prepared learning module
➢ Employing procedure exercises or homework and lesson guide
➢ Employing case studies and practice exercises as homework
➢ Using blended learning
Assessment Tool
Bring Home Test or Examinations
Chapter Exercise in each module
Guided test using social media
platforms
Styles stated above with the observance of social distancing, class grouping
with 20 students shall be observed, class group will be scheduled (by group)
Segregation of learners by year level for social distancing can also be
instituted
The Professors/Instructors are mandated to submit their Learning Modules
to their Chair/Program Coordinator for Quality Assurance.
Bring Home Test
Homework
Guided Learning Approach
Oral Examination using FB or
Zoom Cloud
Further, the learning module shall be examined for purposes of quality
assurance by the Campus Instructional Materials Team.
Chapter Bring Home Test
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LEARNING PLAN:
In order to achieve the outcomes of this course, learners will go through this learning plan
Time
Allotment
( week )
Intended Learning Outcomes (ILO)
a) Recall the VMGO of the
university, campus and the
department.
1
1
a) Classify the order and degree of
the ordinary differential
equation.
b) Evaluate the solution of
ordinary differential equation.
a)
2, 3,4
b)
c)
d)
Determine the type of solution
for a given differential equations.
Convert non-exact to exact
differential equation.
Formulate integrating factors.
Use Bernoulli’s equation to
determine the solution of linear
ODE
Topics
Orientation
• VMGO of the university, campus
and the department
• Rules and regulations of the
course, grading system, and
course outline
Chapter 1. Introduction/Definition
• Definition and Classifications of
Differential Equations
• Solution of Differential Equations
Chapter 2. Solution of IST Order
Differential Equations
• Variable Separable
• Exact Equation
• Linear Equation
• Substitution Methods
✓ Homogeneous Coefficient
✓ Bernoulli’s Equation
✓ Other Substitution Method
MATH 211 – Differential Equations (AY 2020-2021)
Teaching-Learning Activities (TLA)
Flexible Learning
Flexible Learning
Approaches to Learners Approaches to Learners
with Connectivity
without Connectivity
Send electronic copies of
the course syllabus
Provide hard copy of the
through the internet
course syllabus,
or
and
Send learning modules
Provide hard copy of the
and other instructional
learning modules and
materials regarding the
other instructional
topic through the internet
materials regarding the
or
topic
YouTube Videos
or
or
Pre-recorded video
Webinar discussion via
discussion
Facebook Messenger,
Zoom Cloud Meetings or
other VLE platform
Send learning modules
and other instructional
Provide hard copy of the
materials regarding the
learning modules and
topic through the internet
other instructional
or
materials regarding the
YouTube Videos
topic
or
or
Webinar discussion via
Pre-recorded video
Facebook Messenger,
discussion
Zoom Cloud Meetings or
other VLE platforms
Send learning modules
and other instructional
materials regarding the
topic through the internet
or
You Tube Videos
or
Webinar discussion via
Facebook Messenger,
Provide hard copy of the
learning modules and
other instructional
materials regarding the
topic
or
Pre-recorded video
discussion
References
Online
Not Online
Assessment Tool
For Learners For Learners
With
Without
Connectivity Connectivity
Guided
pretest using
the online
media or VLE
platforms
RS1
RR1
RS1
RR1
Review
Exercises
Review
Exercises in
each module
RS1
RR1
RS1
RR1
Guided test
using online
media or VLE
platforms
Homework
Review
Exercises in
each module
RS1
RR1
RS1
RR1
Guided test
using online
media or VLE
platforms
Homework
Bring home
pretest
Homework
Review
Exercises
Review
Exercises in
each module
Bring Home
Exam
Homework
Review
Exercises in
each module
Bring Home
Exam
Homework
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Time
Allotment
( week )
Intended Learning Outcomes (ILO)
5
6, 7
8
Topics
Teaching-Learning Activities (TLA)
Flexible Learning
Flexible Learning
Approaches to Learners Approaches to Learners
with Connectivity
without Connectivity
Zoom Cloud Meetings or
other VLE platforms
References
Online
Not Online
Assessment Tool
For Learners For Learners
With
Without
Connectivity Connectivity
PRELIM EXAMINATION
a) Evaluate the different methods
of solving ODE to solve
problems related to Newton’s
second law of motion,
exponential growth and decay,
simple electric circuits and heat
flow.
Chapter 3. Application of IST Order
Differential Equations
• Decomposition / Growth
• Newton’s Law of Cooling
• Mixing (non-reacting fluids)
• Electric Circuits
Send learning modules
and other instructional
materials regarding the
topic through the internet
or
You Tube Videos
or
Webinar discussion via
Facebook Messenger,
Zoom Cloud Meetings or
other VLE platforms
Provide hard copy of the
learning modules and
other instructional
materials regarding the
topic
or
Pre-recorded video
discussion
Review
Exercises in
each module
RS1
RR1
RS1
RR1
Guided test
using online
media or VLE
platforms
Homework
Review
Exercises in
each module
Bring Home
Exam
Homework
MIDTERM EXAMINATION
MATH 211 – Differential Equations (AY 2020-2021)
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Time
Allotment
( week )
Intended Learning Outcomes (ILO)
a)
b)
9, 10,
11, 12
c)
d)
Evaluate the
homogeneous linear
equation with constant
coefficients.
Develop the
complementary function in
solving homogeneous
linear equation.
Evaluate nonhomogeneous linear
equation with constant
coefficients.
Develop the particular
function in solving
nonhomogeneous linear
equation.
13
b)
18
Chapter 4. Linear Differential Equation
of Order n
• Introduction
• Homogeneous Linear
Differential Equation with
Constant Coefficients
• Non-Homogeneous Linear
Differential Equation with
Constant Coefficients
• Solution of Higher of Higher
Order Differential Equation using
Computer.
Send learning modules
and other instructional
materials regarding the
topic through the internet
or
YouTube Videos
or
Webinar discussion via
Facebook Messenger,
Zoom Cloud Meetings or
other VLE platforms
Provide hard copy of the
learning modules and
other instructional
materials regarding the
topic
or
Pre-recorded video
discussion
Send learning modules
and other instructional
materials regarding the
topic through the internet
or
YouTube Videos
or
Webinar discussion via
Facebook Messenger,
Zoom Cloud Meetings or
other VLE platforms
Provide hard copy of the
learning modules and
other instructional
materials regarding the
topic
or
Pre-recorded video
discussion
References
Online
Not Online
Assessment Tool
For Learners For Learners
With
Without
Connectivity Connectivity
Review
Exercises in
each module
RS1
RR1
RS1
RR1
Guided test
using online
media or VLE
platforms
Homework
Review
Exercises in
each module
Bring Home
Exam
Homework
PRE - FINAL EXAMINATION
a)
14, 15,
16, 17
Topics
Teaching-Learning Activities (TLA)
Flexible Learning
Flexible Learning
Approaches to Learners Approaches to Learners
with Connectivity
without Connectivity
c)
Determine Laplace
transform of a given
function
Determine the Laplace
Transform of a derivatives
Evaluate the inverse
Laplace transform
Chapter 5. Laplace Transforms of
Functions
• Definition
• Transform of Elementary
Functions
• Transform of
𝑒 𝑎𝑡 𝑓(𝑡) - Theorem
• Transform of
𝑡 𝑛 𝑓(𝑡) Derivatives of Functions
• Inverse Transforms
• Transforms of Derivatives
• Initial Value Problems
Review
Exercises in
each module
RS1
RR1
RS1
RR1
Guided test
using online
media or VLE
platforms
Homework
Review
Exercises in
each module
Bring Home
Exam
Homework
FINAL EXAMINATION
MATH 211 – Differential Equations (AY 2020-2021)
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GRADING SYSTEM:
The final grade in the course will be composed of the following items and their weights in the final grade computation:
Assessment Item
Major Exam (online)
Quiz (online)
Homeworks
Grade Source (Rubric Grade)
((Raw Score/Total Score)*60+40)
((Raw Score/Total Score)*60+40)
((Raw Score/Total Score)*60+40)
Points of Final Grade
40 pts (40 %)
40 pts (40 %)
20 pts (20 %)
Note: A 71 pts grade will be required to pass the course.
REQUIRED READINGS AND OTHER MATERIALS:
Required for student
RS1. Uy, et al. Elementary Differential Equations
Recommended Readings
RR1. Boyce Diprima. Elementary Differential Equations and Boundary Value Problems, 7th Ed. Pdf
RR2. Wylie & Barrett. Advanced Engineering Mathematics, 6 th Ed.
RR3. Erwin Kreyzig. Advanced Engineering Mathematics, 9 th Ed.
RR4. Peter V. O’Neil. Advanced Engineering Mathematics, 7 th Ed.
Prepared by:
Reviewed by:
Recommending Approval:
ANASTACIO G. PANTALEON, JR.
Faculty
FRANCO G. PANTALEON
Campus Program Coordinator
WHELSON C. PASOS
Officer-In-Charge
Noted:
Approved:
EVELYN T. BAGOOD, Ed.D.
Director of Curriculum
ALEX S. LADAGA, PhD
Dean, College of Engineering
MATH 211 – Differential Equations (AY 2020-2021)
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