Differential Equations (MATH 202)

2020 Summer
Faculty of Engineering and Natural Sciences
Mathematics(MATH)
3
6.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Sibel ┼×ahin ssahin@sabanciuniv.edu,
Click here to view.
English
Undergraduate
MATH102
Formal lecture,On-line task/distance,Recitation
Interactive,Communicative
Click here to view.

CONTENT

First-order differential equations and solution methods. Direction fields, qualitative methods, numerical approximations. Higher-order linear differential equations. Linear ayatems. Nonlinear systems, asymptotic behaviour of solutions. Laplace transform. Also part of the "core course" pools for the BIO, MAT, ME, EL, TE, MS degree programs.

OBJECTIVE

To study techniques for solving ordinary differential equations (ODE).

LEARNING OUTCOME

Upon the completion of this course, students will be able to:
Apply mathematical modelling in areas such as physics, engineering, biology or economics.
Solve first-order separable and linear differential equations.
Find the fundamental solution and the general solution of certain second order linear differential equations.
Use the Laplace transform method to solve linear ordinary differential equations.
Find the particular solution to a nonhomogeneous linear system of ordinary differential equations.
Solve higher-order certain linear differential equations and systems of differential equations.

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 35
Midterm 35
Participation 15
Other 15

RECOMENDED or REQUIRED READINGS

Readings

1. Elementary Differential Equations and Boundary Value Problems by Boyce & DiPrima, Tenth Edition, Wiley.
2. Differential Equations by Ross, Wiley.
3. Fundamentals of Differential Equations and Boundary Value Problems by Nagle & Saff & Snider, Pearson.
4. Elementary Differential Equations, Rainville & Bedient & Bedient, Prentice Hall, 1997.