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COURSE PRO FORMA

Code KXEX1145

Title Basic Engineering Algebra

Pre-requisite None

Student Learning Time (SLT) 80 hours

Credit 2

Learning Outcomes 1. Use De Moivre Theorem and Euler Formula to determine the
power and roots of complex numbers.
2. Explain the concepts of matrices, determinants, ranks, eigen
values and eigen vectors.
3. Solve systems of line 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. De
Moivre 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. Eigen
values and eigen vectors. 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.
Assessment 40% Continuous Assessments
60% Final Examination
th
References Modern Engineering Mathematics, (4 edition), Glyn James (Edison-
Wesley), 2007
nd
Theory and Problems of Vector Analysis, (2 edition), Murray R. Spiegel
(Schaum's series) 2008
th
Engineering Mathematics, (5 edition), K. A. Stroud and D. J. Booth
(Palgrave), 2007
rd
Further Engineering Mathematics, (3 edition), K. A. Stroud (MacMillan)
1992
Soft skills Communication Skills (CS1, CS2, CS3)
Critical Thinking and Problem Solving Skills (CT1, CT2, CT3)
Team work Skills (TS1,TS2)
Life Long Learning and Information Management (LL1, LL2)