sap course 1434122780

Course Code & Number:

MATH 203

Course Title:

Linear Algebra and Differential Equation

Level of Course:

BS

Credits:

(3+0+0) 3 TEDU Credits, 5 ECTS Credits

Catalog Description:

Systems of linear equations. Elimination methods, matrices and matrix operations. Vector spaces, basis and dimension. Determinants. First-order differential equations. Linear equations and systems of first-order linear equations. Boundary value problems. Laplace transform. Second and nth order linear differential equations

Pre-requisites & Co-requisites:

Pre-requisites: MATH 101 OR MATH 111
Co-requisites: NONE
Grading: 

Quiz - 8% 
Written homeworks / Matlab assignments - 10% 
Midterm Exam 1 - 22% 
Midterm Exam 2 - 23% 
Final - 30% 
Written/Oral project - 7%

Year of Study: 
Sophomore
Semester: 
Fall
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
Course Type: 
Compulsary
Required Reading: 
1. Erwin Kreyszig, "Advanced Engineering Mathematics," 10th ed., Wiley, 2011.
Course Objective: 

The goal of this course is to establish the mathematical background about the fundamental concepts, solution methodologies, and technical applications of linear algebra and differential equations.

Computer Usage: 
MATLAB
Learning Outcomes: 

Upon succesful completion of this course, a student will be able to
1. Manipulate matrix algebra and determinants.
2. Solve linear system of equations; apply row operations and Gaussian elimination.
3. Identify linear independence; compute the rank of a matrix.
4. Apply Cramer’s rule to solve the system of equations.
5. Calculate eigenvalues and their corresponding eigenvectors
6. Identify if a matrix is orthogonal; construct an orthogonal matrix.
7. Determine if a matrix is diagonalizable, and if it is, diagonalize it.
8. Define the terminology commonly used in differential equations.
9. Identify and solve separable, exact, linear first-order Ordinary Differential Equations (ODEs).
10. Solve homogeneous linear second-order ODEs with constant coefficients.
11. Use the method of undetermined coefficients to solve (B3) non-homogeneous linear second-order ODEs.
12. Utilize Laplace transform for solving ODEs.
13. Solve simple initial and boundary value problems.
14. Use Matlab to aid in solving linear algebra and differential equations.
15. Demonstrate (B3) written/oral communication skills by preparing reports and by giving an oral presentation to the class. 16. Display a professional commitment to group work through cooperative quizzes and project.

Planned Learning Activities and Teaching Methods: 
Telling/Explaining
Questioning
Reading
Demonstrating
Problem Solving
Collaborating
Oral Presentation
Web Searching
Others
Assessment Methods and Criteria: 
Test / Exam
Quiz/Homework
Written Project
Presentation (Oral/Poster)
Others

Student Workload:

Quizzes /Homeworks
30
hrs
Midterm Exam 1
10
hrs
Midterm Exam 2
10
hrs
Final Exam
10
hrs
Report on a Topic
10
hrs
Oral Presentation
3
hrs

Prepared By:

Revised By:

teduadmin