UNIVERSITY OF BOHOL

City of Tagbilaran

Graduate School

COURSE SYLLABUS

MTM 206

(Mathematical Analysis for Teaching II-Differential Equation, Vectors and Complex Numbers, Laplace Transform)

COURSE NUMBER	:	MAEM 206
COURSE TITLE	:	Mathematical Analysis for Teaching II-Differential Equation, Vectors and Complex Numbers, Laplace Transform
CREDIT UNIT	:	3 units
COURSE DESCRIPTION	:	Differential equations furnish in very powerful tool for solving many practical problems of engineering as well as range of purely mathematical problems. This course focuses on solving equations involving unknown functions containing one or more of its derivatives. Specifically, it covers discussion on the concept of differential equations in varying orders or degrees of its applications.
GENERAL OBJECTIVES	:
		1. Learn to express physical laws in the language of differential equations as well as vector functions and lap lace transform. 2. Appreciate and realize the importance of the fundamental concept in solving mathematical problems. 3. Solve equations by modern techniques and interpret the results of differential equations. 4. Solve problems involving vector-valued functions. 5. Apply mathematical analysis to unlock difficulties in solving varied problems involving differential equations, vectors and laplace transform.

COURSE CONTENT:

I. Vector and Geometry in Space

II. Vector- Valued Function and Vector Analysis

III. Differential Equation

- Definitions and Basic Concepts

- First Order- First Degree Differential Equation (Variable – Separable, Homogeneous, Exact, Linear, Bernoulli and Simultaneous)

- Application to First Order- First Degree D. E.

- First Order Higher Degree D.E. (Solvable for y, Solvable for x, clairaut’s, dependent and independent variable missing)

- Higher Order- First Degree D.E. (Homogeneous and Non-Homogeneous Linear D.E.)

IV. Laplace Transform

- Elementary Laplace Transform

- Theorems on Laplace Transform

ASSESSMENT / EVALUATION:

- Office Examination

- Synthesis / Assignment

- Research Work

REFERENCES:

Barnett, Reymond. Calculus for Business, Economics, Life Sciences & Social Science. New Jersey : Prentice – Hall Inc., 2002.

Edwards, Henry P. and David E. Penny. Differential Equation. USA : Prentice – Hall, 2000.

Ledder, Glenn. Differential equations: a modeling approach. Boston: McGraw-Hill, c2005 [1 cp.]

Leithold, Louis. Algebra and Trigonometry. Singapore : Pearson Educational Asia Pte. Ltd. , 2001.

Nocon, Ferdinand P. Differential calculus: made simple for Filipinos. Mandaluyong City; National Book Store, c2001 [1 cp.]

Edwards, C. Henry. Differential equations: computing and modeling. New Jersey: Prentice-Hall, c2000 [1 cp.]