Differential Equations

In this course we shall:

• identify and classify ordinary differential equations

• solve ordinary differential equations analytically, numerically, and graphically

• model real-world systems using differential equations

• utilize electronic tools in dealing with differential equations

This course shall cover seven chapters namely:

1. Review, Basic Definitions, and Preliminaries

2. First-Order ODEs

3. Linear ODEs

4. Laplace Transforms

5. Matrix Methods

6. Mathematical Modelling

7. Numerical Methods

For most of the course familiarity of topics from the Calculus Series (Calculus I, II, III), ranging from functions to derivatives and integrals is required. It will be assumed that the student already understand how to differentiate and integrate various functions although an ample review of elementary topics will be covered in Lecture 01.

Technology will be used extensively for the whole semester. Hence, the availability of electronic devices (such as smartphones or laptops) and internet connectivity will be helpful.

• 21 Lecture Exercises (one from each lecture)

• 7 Quizzes (one from each chapter)

• 2 Major Examinations (one from each term period)

• 1 Project

Cut-off score is 50% for all course requirements.

Answers to exercises and quizzes shall be written in sheets of 1/4 of short-sized bond paper. Take a photo of each page and send them as attachment to my e-mail address jdselle@up.edu.ph with subject properly indicating which course requirement is being submitted (for example "MATH-C 3111 Quiz No. 1"). Then, in the body of the mail, write your full name, course, year, and block section (I encourage you to do this in formal and complete sentences). The reason why it is required to write in 1/4 sheets is to enhance visibility. (Photos of whole-sized paper are sometimes difficult to read). You are allowed to use as many 1/4 sheets as you would need.

Subject to circumstances, major exams will be conducted in the campus. This shall be properly arranged and instructions shall be announced to you.

• Rainville & Bedient (1981). Elementary differential equations. McMillan Publishing Co., Inc.

• Logan (2006). A first course in differential equations. Springer Science + Business Media, Inc.

• Bronson (2003). Schaum's easy outlines: Differential equations. McGraw-Hill Companies, Inc.