Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises.
Solidify the patterns of rational or mathematical (and therefore exact) thinking.
Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular.
Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision.
Develop problem-solving skills.
Will be able to apply the Engineering Mathematics knowledge for solving science and engineering problems.
Acquire the ability of keeping up with the constantly changing science, technology and engineering methods.
Mode of Delivery
Prerequisites
Yes(MATH152)
Recommended Optional Programme Components
Course Description
Matrices, matrix operations, Inverse of matrices . Determinants. Vectors, linear depence of vectors. Linear systems of algebraic equations. Cramer?s Rule, Gauss elimination. Eigenvalues and eigenvectors of matrices. Similar matrices, diagonalization. Scalar and vector fields. Partial derivatives of vector functions. Curvature and torsion of a curve, TNB frame, Frenet-Serret formulas. Gradient of functions. Directional derivative. Conservative vector fields. Divergence and Curl of vector functions and their physical significance. Triple integrals. Cylindrical and Spherical Coordinate systems. Line integrals. Surface integrals. Green, Gauss? and Divergence Theorems. Complex number, operation on Complex numbers. Complex valued functions of real and complex variables. Limit, continuity and derivatives of Complex valued functions. Analytic functions of a complex variable. Cauchy-Riemann equations.
Course Contents
WEEK
TOPICS
1st Week
Systems of Linear Equations. Cramer's Rule. Gaussian Elimination Method. Gauss-Jordan Method.
2nd Week
Matrices. Matrix Operations. Determinant of a Matrix.
3rd Week
Properties of Determinants. Inverse of Matrix.
4th Week
Vectors in Rn.
5th Week
Linear Transformations. Matrix Representation of Linear Transformations.
6th Week
Change of Basis. Applications. Quiz I.
7th Week
Eigenvalues and Eigenvectors. Diagonalization of a Matrix.
8th Week
Midterm Exam
9th Week
Double Integrals. Line Integrals. Line Integrals of Vector Functions.
10th Week
Path Independent Line Integrals. Potential Functions and Conservative Fields.
Complex Numbers. Arithmetic Operations of Complex Numbers. Polar Forms of Complex Numbers.
14th Week
Euler's Formula. Power and Root of a Complex Number. Elementary Functions on Complex Numbers.
15th Week
Analytic Functions.
Recommended or Required Reading
* Howard Anton, Chris Rovves, Elementary Linear Algebra, Applications Version (1994), John Wiley&Sons.
* David C. Lay, Linear Algebra and Its Applications (2000), Addison - Wesley
Planned Learning Activities and Teaching Methods
Lecture
Questions/Answers
Assessment Methods and Criteria
Quantity
Percentage (%)
Mid-term
1
35
Quiz
2
20
Total(%)
55
Contribution of In-term Studies to Overall Grade(%)
55
Contribution of Final Examination to Overall Grade(%)
