TEC 101: BASIC ENGINEERING MATHEMATICS I
Course Content
1.Algebra:unions,intersections,complements.Algebraic structures such as rational indices,multiplication,addition and partial fractions.
2.Polynomial functions:constant,linear,quadratic,division,remainder factor;functions and mappings;inverse,constant,step,even,odd,composite.
3.Trigonometric and hyperbolic functions,logarithms and exponential functions.
4.Vectors:scalars and vectors,components,addition,multiplication,vector spaces.Ration theorem,scalar and vector products, unit vectors,geometric interpretations,applications to mechanics.
5.Matrices:matrix algebra,determinants,rank of a matrix,transpose,inverse of an n x n matrix,eigenvalues,eigenvectors.
6.Solution of linear equations,crammer's rule, elementary row operations;Gauss' elimintion method;lower-upper decomposition.Solutions of homogenous equations.
References
1. Engineerin Mathematics, 5th edition by K.A Stroud
2. Mathematics for scientists n Engineers, vol 1 by Phiri PA Vuma D and Luboobi L.S.
3.Further Pure maths 1 vol 1 bz Sam Boardman,Tony Clouph,David Evans