Apply vector techniques to solve problems on lines and planes
Execute routine matrix manipulations which arise in engineering problems, including
the determination of solutions of systems of linear algebraic equations and calculating
inverses of matrices
Analyse data using exploratory and inferential statistics
Use a symbolic manipulation package for more advanced tasks of solving linear
algebra and statistical based problems
Generate and use basic logical mathematical arguments in the solution of engineering
problems
Statistics – Data handling, Population vs Sample, Statistical parameters
Statistics – Probability distributions: Binomial, Poisson and Normal
distributions
Statistics – Confidence intervals, Hypothesis tests; Level of significance, p-value, power of test
Vectors – Operations, Standard unit basis vectors, Dot product, Scalar and
vector projections
Vectors & Matrices – Cross product and applications, Matrix operations,
Inverse matrices
Application of Matrices – Linear equations, Row echelon form, Gaussian
elimination
Application of Matrices – Homogeneous systems, Gauss Jordan method,
Solutions using inverse matrix
Determinants – Cofactor expansion, Evaluating determinants, Cramer’s rule,
Applications of determinants
Lines and Planes –Equations of lines, Equation of planes, Intersection of
planes, Determining distances
Vector Spaces – Euclidean vector space, vector subspaces, linear
dependence and independence
Applications of Vectors and Matrices – Plane Transformations, Least squares