3- Intended Learning Outcome :-

a- Knowledge and Understanding :-

Students who complete the course will have the ability to :-

a1- explain at high levels concepts from advanced linear algebra and multi-variable calculus.

a2- compute eigenvalues and eigenvectors of matrices, and solve first and second order ordinary differential equations.

a3- Compute partial derivatives and multiple integrals of multivariate functions.

a4- implement basic operations in vector calculus and evaluate line and surface integrals of vector fields.

a5- apply mathematical and computational methods to a range of application problems involving advanced linear algebra, ordinary differential equations and multi-variable calculus.

b. Intellectual Skills :-

Students who complete the course will have the ability to :-

b1- Solve simple differential equations of first and second order.

b2- perform basic operations of matrix algebra and apply them to solve system of linear equations.

b3- discuss the basic concepts of vector spaces, linear transformations and inner product spaces with geometric interpretation.

b4- apply the techniques of linear algebra to problems in statistics and applied mathematics.

c-Professional Skills :-

Knowledge of the concepts and material presented in this course will provide the students with practical know-how to :-

c1- formulate linear systems as mathematical models.

c2- represent any linear system by a suitable matrix.

c3- compute the general solution to any linear system.

c4- be able to break a complicated matrix into its simpler factors.

c5- be able to recognize inherent geometric properties of a matrix.

c6- linear algebra is used for business decision-making.

d-General Skills :-

Knowledge of the concepts and material presented in this course will provide the students with the capability to :-

d1- Be capable of applying both traditional and new concepts and skills.

d2- Work within and contribute to a team, apply management.

d3- The ability to solve and apply Linear algebra problems.