This 3-page document outlines the course plan for a Differential Equations course. It includes the course description, intended learning outcomes at the institute, program, and course level. The content is divided into 3 sections - an introduction, first-order differential equations, and higher-order differential equations. Teaching and learning activities are suggested for each section, along with assessment tasks. Basic and extended readings are listed, as well as policies on language of instruction, attendance, grading system, and classroom rules. Contact information for consultation with faculty is also provided.

1. GOV. ALFONSO D. TAN COLLEGE
Bachelor of Secondary Education major in Mathematics (BSEd-Math)
Outcomes – Based Teaching and Learning Plan in ME 120
Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul
Course Title Differential Equation Course Code ME120
Credit Units 3 Course Pre-/Co-requisites ME 108, ME 110 and ME 113
Course Description
(MIT OpenCourseware)
This course focuses on linear differential equations and their applications in science and engineering. The laws of nature are expressed as differential
equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the
solutions.
Institute Intended
Learning Outcomes
(IILO)
Graduates of BSEd programs are teachers who:
a. Articulate the rootedness of education in philosophical, socio-cultural, historical, psychological, and political contexts
b. Demonstrate mastery of subject matter/discipline
c. Facilitate learning using a wide range of teaching methodologies and delivery modes appropriate to specific learners and their
environment
d. Develop innovative curricula, instructional plans, teaching approaches, and resources for diverse learners
e. Apply skills in the development and utilization of ICT to promote quality, relevant, and sustainable educational practices
f. Demonstrate a variety of thinking skills in planning, monitoring, assessing, and reporting learning processes and outcomes
g. Practice professional and ethical teaching standards sensitive to the local, national, and global realities
h. Pursue lifelong learning for personal and professional growth through varied experiential and field-based opportunities
Program Intended
Learning Outcomes
(PILO)
At the end of this program, graduates will have the ability to:
a. Exhibit competence in mathematical concepts and procedures.
b. Exhibit proficiency in relating mathematics to other curricular areas.
c. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics.
d. Demonstrate competence in designing, constructing and utilizing different forms of assessment in mathematics.
e. Demonstrate proficiency in problem-solving by solving and creating routine and non-routine problems with different levels of
complexity.
f. Use effectively appropriate approaches, methods, and techniques in teaching mathematics including technological tools.
g. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.
Course Intended
Learning Outcomes
(CILO)
At the end of this course, the students should be able to:
a) Model a simple physical system to obtain a first order differential equation.
b) Test the plausibility of a solution to a differential equation (DE) which models a physical situation by using reality -check methods such as physical
reasoning, looking at the graph of the solution, testing extreme cases, and checking units.
c) Visualize solutions using direction fields and approximate them using Euler's method.
d) Find and classify the critical points of a first order autonomous equation and use them to describe the qualitative behavior and, in particular, the
stability of the solutions.

2. MIDTERM Essential Learning
Intended Learning Outcomes
(ILO)
Suggested
Teaching/Learnin
g Activities
(TLAs)
Assessment
Tasks (ATs)Week Content Standards Declarative Knowledge Functional Knowledge
1 – 5
Demonstrate
Understanding of
Introduction to
Differential Equation
Orientation of Rules and
Mission and Vision of
GADTC and Grading System
Introduction to Differential
Equations
 Definitions and
Terminology
 Initial-Value Problems
Defining the different important
terminologies of Differential
Equations
Discussing the different
methods to solve Initial-Value
Problems
State and define terminologies in
Differential Equations
Solve initial-value problems using
different methods
Lecture
Learning Station
Interactive Discussion
Skills Exercises
Paper and Pencil
Test
Assignment
Evaluative Test
5-9
Demonstrate
competencies of First-
Order Differential
Equations
First-Order Differential
Equations
 Solution Curves Without
a Solution
 Direction Fields
 Autonomous First-
Order Des
 Separable Equations
 Linear Equations
 Exact Equations
 Solutions by Substitutions
 A Numerical Method
Discussing the process of
sketching graphs using
Direction Fields and
Autonomous First-Order Des
Discussing the process of
separating equations
Discussing how to solve
problems in Linear and Exact
Equations
Discussing the process of
using substitution and
numerical method
Sketch graphs through the use of the
concept of direction fields an
autonomous First-Order Des
Separate equations with the use
differential and integral concepts
Solve problems in Linear and Exact
Equations
Use Substitution and Numerical
Method in solving problems in
differential equations
Lecture
Learning Station
Interactive Discussion
Skills Exercises
Paper and Pencil
Test
Assignment
Evaluative Test
FINALS
10-19
Demonstrate
competencies in
Higher-Order
Differential Equations
Higher-Order Differential
Equations
 Preliminary Theory –
Linear Equations
 Initial-Value and
Boundary-Value
Problems
 Homogeneous
Equations
 Nonhomogeneous
Differentiating Initial and
Boundary Value Problems
through solving
Differentiating Homogenous
and Nonhomogeneous
Equations through solving
Discussing the process of
Reduction of Order
Differentiate Initial and Boundary Value
Problems through solving
Differentiate Homogenous and
Nonhomogeneous Equations through
solving
Explore process of Reduction of Order
Solve homogeneous linear equations
Lecture
Board work
Problem Sets
Quiz
Assignment
Evaluative Test

3. Equations
 Reduction of Order
 Homogenous Linear
Equations with Constant
Coefficients
 Undetermined
Coefficients –
Superposition Approach
 Undetermined
Coefficients – Annihilator
Approach
 Variation of Parameters
 Cauchy – Euler Equation
 Green’s Functions
 Initial-Value Problems
 Boundary-Value
Problems
 Solving Systems of
Linear Des by Elimination
 Nonlinear Differential
Equations
Discussing homogeneous
linear equations with constant
coefficients
Discussing on how to solve
Undetermined Coefficients
through Superposition and
Annihilator Approach
Discussing the Variation of
Parameters and Cauchy –
Euler Equations
Using Green’s Functions in
solving Initial-Value and
Boundary-Value Problems
Using Elimination in solving
systems of linear Differential
Equations
Discussing Nonlinear
differential equations
with constant coefficients
Solve Undetermined Coefficients
through Superposition and Annihilator
Approach
Solve problem of the Variation of
Parameters and Cauchy – Euler
Equations
Use Green’s Functions in solving
Initial-Value and Boundary-Value
Problems
Use Elimination in solving systems of
linear Differential Equations
Solve problems Nonlinear differential
equations
Basic Readings Zill and Wright (2013). Succeeding with Differential Equations 8th Edition. Cengage Learning Asia Pte Ltd. ISBN-13: 13:978-981-4510-63-9
Extended Readings
Course Assessment As identifiedin the Assessment Task

4. Course Policies LanguageofInstructions
English
Attendance
 As identifiedin the student handbook
Homework,Quizzes,Written Reports,ReactionPapersand Portfolio
Special Requirement
GradingSystem
Summative Quizzes - 30%
SummativePerformance - 40%
Periodical Exam - 30%
100%
Classroom RulesandRegulations
 Respect
Committee Members CommitteeLeader : Alemar C. Mayordo
Members : Elton John B. Embodo
ZarleneM.Tigol
RogielouP. Andam
Clint Joy Quije
Consultation Schedule FacultyMember :
ContactNumber :
E-mailaddress :
ConsultationHours:
TimeandVenue :
Course
Title
A.Y. Term of
Effectivity
Prepared by Checked by Noted by Approved by Pages
Differential
Equations 2020-2021 ELTONJOHNB.EMBODO,MAED
Instructor
ELTON JOHN B. EMBODO, MAED
Program Coordinator
ALEMAR C. MAYORDO, MAED
OIC-Dean
LOVE H. FALLORAN, Ph.D.
VP for Academics
4