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.

### Differential Equations (MATH 202)

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Programs\Type | Required | Core Elective | Area Elective |

BA- Political Science | |||

BA-Cultural Studies | |||

BA-Cultural Studies | |||

BA-Economics | |||

BA-Economics | |||

BA-International Studies | |||

BA-International Studies | |||

BA-Management | |||

BA-Management | |||

BA-Political Sci.&Inter.Relat. | |||

BA-Political Sci.&Inter.Relat. | |||

BA-Social & Political Sciences | |||

BA-Visual Arts&Visual Com.Des. | |||

BA-Visual Arts&Visual Com.Des. | |||

BS-Biological Sci.&Bioeng. | * | ||

BS-Computer Science & Eng. | * | ||

BS-Computer Science & Eng. | * | ||

BS-Electronics Engineering | * | ||

BS-Electronics Engineering | * | ||

BS-Industrial Engineering | * | ||

BS-Manufacturing Systems Eng. | * | ||

BS-Materials Sci. & Nano Eng. | * | ||

BS-Materials Science & Eng. | * | ||

BS-Mechatronics | * | ||

BS-Mechatronics | * | ||

BS-Microelectronics | * | ||

BS-Molecular Bio.Gen.&Bioeng | * | ||

BS-Telecommunications | * | ||

Mathematics |

### CONTENT

### OBJECTIVE

Students who completed this course are expected to know mainly the concepts ordinary differential equations, their solution methods, and their applications in modeling and simulating engineering systems.

### 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.

### Update Date:

### ASSESSMENT METHODS and CRITERIA

Percentage (%) | |

Final | 40 |

Midterm | 60 |

### RECOMENDED or REQUIRED READINGS

Readings |
1. Elementary Differential Equations and Boundary Value Problems by Boyce & DiPrima, Tenth Edition, Wiley. |