Differential Equations. A Workbook

Exam Revision from the year 2022 in the subject Learning materials - Mathematics, , language: English, abstract: Generally, students enrolled in Elementary Differential Equations courses are poorly prepared for rigorous treatment of the subject. I tried to alleviate this problem by isolating the material that requires greater sophistication than that normally acquired in the first year of calculus. The emphasis throughout is on making the work text readable by frequent examples and by including enough steps in working problems so that students will not be bogged down with complicated calculations. This worktext has been written with the following objectives: 1. To provide in an elementary manner a reasonable understanding of differential equations for students of engineering and students of mathematics who are interested in applying their fields. Illustrative examples and practice problems are used throughout to help facilitate understanding. Whatever possible, stress is on motivation rather than following rules. 2. To demonstrate how differential equations can be useful in solving many types of problems - in particular, to show students how to: (a) translate problems into the language of differential equations, i.e. set up mathematical formulations of problems; (b) solve the resulting differential equations subject to given conditions; (c) interpret the solutions obtained. 3. To separate the theory of differential equations from their applications so as to give ample attention to each. This is accomplished by threatening theory and applications in separate lessons, particularly in early lessons of the coursebook. This is done for two reasons; First, from a pedagogical viewpoint, it seems inadvisable to mix theory and applications at an early stage since the students usually find applied problems difficult to formulate mathematically, and when they are forced to do this in addition to learning techniques for solution, it generally turns out that they learned neither effectively. By treating theory without applications and then gradually broadening out to applications (at the same time reviewing theory) the students may better master both since their attention is thereby focused only in one thing at a time. A second reason for separating theory and applications is enable instructors who may wish to present a minimum of applications to do so conveniently without being in the awkward position of having to skip around in lessons.

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Name: ALAN PACITES NEBRIDA Date of Birth: MARCH 6, 1983 Place of Birth : BOLINAO, PANGASINAN Nationality: FILIPINO Sex: MALE Marital Status: MARRIED Name of Spouse: JOAN SOPONGCO MINIA-NEBRIDA Name of Child: LANJ ANJELO MINIA NEBRIDA, LANJ DAVID MINIA NEBRIDA Permanent Address: Purok 8, Banggot, Bambang 3702, Nueva Vizcaya, Philippines Email address: alan@nebrida.com GRADUATE STUDIES Doctor of Philosophy-Science Education-Mathematics Nueva Vizcaya State University, Bayombong, Nueva Vizcaya Academic Requirements Master of Science in Electronics and Communication Engineering (MSECE) - Control System Mapua Institute of Technology, Intramuros, Manila Master of Arts in Teaching (MAT) - Mathematics Nueva Vizcaya State University, Bambang, Nueva Vizcaya Academic Requirements TERTIARY LEVEL Bachelor of Science in Electrical Engineering Don Mariano Marcos Memorial State University Mid-La Union Campus, San Fernando City, La Union CERTIFICATIONS/PROFESSIONAL REGISTRATIONS Registered Electrical Engineer MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS Association of Government Internal Auditors, Incorporated (AGIA) Unit 402 Merchant Square Condominium, 1386 E. Rodriguez Sr. Avenue cor. Mabolo St, New Manila, Quezon City 1102 Institute of Electrical and Electronics Engineer, Incorporated #3 Park Avenue, 17th Floor New York, NY 10016-5997 USA Mathematical Modeling Organization of the Philippines Incorporated Nueva Vizcaya State University, Bayombong, Nueva Vizcaya Philippine Science Consortium, Inc. Bulacan State University, Malolos, Bulacan The Mathematics Teachers Association of the Philippines, Incorporated, Tertiary Level Chapter Stella Maris College, Cubao, Quezon City National Association of Mapua Alumni (NAMA) Mapua Institute of Technology-Muralla Campus Intramuros, Manila, Philippines Institute of Integrated Electrical Engineers of the Philippines (IIEE) #41 Monte de Piedad Street, Cubao, Quezon City ASSOCIATE PROFESSOR II NUEVA VIZCAYA STATE UNIVERSITY Bambang, Nueva Vizcaya PUBLISHED RESEARCHES Characterization of Resonant Coupled Inductor in a Wireless Power Transfer System. Research Journal. Volume 2 No. ISSN 1655-5872 Assessment of Engineering Program in Board Examination of the Nueva Vizcaya State University-Bambang Campus from 2010-2015. NVSU Research Journal College of Engineering. Summer 2015