513 Advanced Engineering Mathematics(Written)

CITY & GUILDS - LEVEL 5 - ADVANCED TECHNICIAN DIPLOMA IN MECHANICAL ENGINEERING (9208-11)


  • 1.1 perform operations in matrix algebra
  • 1.2 evaluate the determinants of a matrix & obtain the inverse of a square matrix
  • 1.3 solve simultaneous equations using matrix methods
  • 1.4 obtain the inverse of a square matrix
  • 1.5 apply matrix algebra to solve engineering problems described by sets of simultaneous equations.
  • 2.1 perform operations with vectors
  • 2.2 solve engineering problems using vectors.
  • 3.1 evaluate partial derivatives for a function of several variables
  • 3.2 use series expansions to obtain approximations of a function
  • 3.3 obtain a Fourier series description for functions of a single variable
  • 3.4 obtain Laplace transforms for simple functions & 3.5 obtain the inverse Laplace transforms for simple functions
  • 3.5 obtain the inverse Laplace transforms for simple functions
  • 3.6 obtain integrals of simple functions and application to areas, volumes, centroids and moments of inertia
  • 4.1 evaluate the inaccuracy of calculations that use approximate numbers
  • 4.1 evaluate the inaccuracy of calculations that use approximate numbers & 4.2 use numerical iterative methods to find the roots of a function
  • 4.3 apply numerical methods of integration and interpolation to engineering variables
  • 4.4 apply numerical methods for the solution of ordinary differential equation models of engineering systems
  • 4.5 apply numerical methods to the solution of partial differential equation models of engineering systems.
  • solve ordinary differential equations.
  • SUBJECT INTRODUCTION By Lecturer - 513
  • Questions and Answers