Basic HTML Version
Course
Pro-forma
Faculty Course
Code
KXEX1145
Title
Basic Engineering Algebra
Pre-requisite
None
Student Learning Time (SLT)
80 hours
Credit
2
Learning Outcomes
1.
Use DeMoivre Theorem and Euler Formula to determine the power
and roots of complex numbers.
2.
Explain the concepts of matrices, determinants, ranks,eigenvalues
and eigenvectors.
3.
Solve systems of linear equations and diagonalize square matrices.
4.
Use the dot product, cross product and triple products of vectors to
determine the parametric equations and vector equations of lines
and planes.
Synopsis
Complex numbers: Addition, substraction, multiplication and division.
Complex numbers in polar form. Complex numbers in exponent form.
DeMoivre Theorem. Power and roots of complex number. Euler
Formula.
Matrices: Diagonal, symmetric, skew symmetric, orthogonal, Hermitian,
skew Hermitian and unit matrix. Transpose. Determinant. Minor,
cofactor and adjoint. Singular and non-singular matrices. Inverse of
matrix. Linearly dependent and linearly independent vectors. Rank of a
matrix. Homogenous and non-homogenous system of linear equations.
Existence of solutions and their properties. Gaussian Elimination
method. Cramers Rule. Eigenvalues and eigenvectors. Diagonalization.
Cayley-Hamilton Theorem.
Vector Algebra: Cartesian Vector in two and three dimension systems.
Dot and cross product. Parametric Equations and Vector Equations of
lines. Skew Lines. Equations of planes. Distance between a point and a
plane. Distance between two planes. Angle between two intersecting
lines an
Assessment
40 % Continuous Assessments
60 % Final Examination
References
1.
Modern Engineering Mathematics, (4th edition), Glyn James
(Edison-Wesley), 2007
2.
Theory and Problems of Vector Analysis, (2nd edition), Murray R.
Spiegel (Schaum's series) 2008
3.
Engineering Mathematics, (5th edition), K. A. Stroud and D.J. Booth
(Palgrave), 2007
4.
Further Engineering Mathematics, (3rd edition), K. A. Stroud
(MacMillan)) 1992
Soft Skills
Communication Skills (CS1, CS2, CS3)
Critical Thinking and Problem Solving Skills (CT1, CT2, CT3)
Teamwork Skills (TS1, TS2)
Life Long Learning and Information Management (LL1, LL2)