DIFFERENTIAL
EQUATIONS
Differential Equations (Math 221)
COURSE CREDIT
3 units
CONTACT HOURS/WEEK
3 hours
PRE-REQUISITE(S)
Calculus 2
COURSE DESCRIPTION
The
course
deals
with
differentiation and integration in
solving first order, first-degree
differential equations, and linear
differential equations of order n;
Laplace transforms in solving
differential equations.
COURSE OUTCOMES
 After
completing this course, the students
should be able to:
1. Solve the different types of differential
equations; and
2. Apply differential equations to selected
engineering problems.
COURSE OUTLINE
Lesson 1: Definitions
 Definition and Classifications of Differential Equations (D.E)
 Order Degree of a D.E. or Linearity
 Solution of a D.E. (General and particular)
Lesson 2: Solution of Some 1st Order, 1st degree D.E.
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Variable separable
Homogeneous
Exact
Linear
 Equations Linear in Function
 Bernoulli’s Equation
Lesson 3: Application of 1st Order D.E.
 Decomposition or Growth
 Newton’s law of Cooling
 Mixing (Non-Reacting Fluids)
 Electric Circuits
Lesson 4: Linear D. E. of Order n

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Standard Form of a Linear D.E.
Linear Independence of a Set of Functions
Differential Operators
Differential Operator Form of a Linear D.E.
Lesson 5: Homogeneous Linear D.E. with Constant Coefficients
 General Solution
 Auxiliary Equation
Lesson 6: Non-Homogeneous D.E. with Constant-Coefficients
 Form of the General Solution
 Solution by Method of Undetermined Coefficients
 Solution by variation of Parameters
Lesson 7: Laplace Transforms of Functions
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Definition
Transform of Elementary Functions
Transform of 𝑒 𝑎𝑡 𝑓 𝑡 theorem
Transform of 𝑡 𝑛 𝑓 𝑡 Derivatives of transforms.
Inverse transforms
Transforms of derivatives
Initial Value Problems
COURSE REQUIREMENTS
For online mode, students will participate in the course using Google's learning
management system called GOOGLE CLASSROOM (www.classroom.google.com)
coupled with social media platform namely FB classroom/group and messenger.
Technology requirements for online mode:
1.
2.
3.
4.
5.
6.
A smart gadget like a computer/laptop or a smart phone with an internet browser
A media player
Headset with microphone
Internet connection (capable of watching videos)
Active Google Mail Account
Active FB/FB messenger Account
GRADING SYSTEM
1. Term exam
- 40%
2. Quizzes
- 30%
3. Activities
- 20%
4. Assignment
- 10%
Final Grade = 1/3 Midterm Grade + 2/3 Final Term Grade