Engineering Mathematics III KNEC Notes and Syllabus

Engineering Mathematics III is a module III unit in electrical and electronic engineering. It is intended to increase knowledge, skills, and attitudes to enable learners to understand analytical areas.

Its prerequisites include Engineering Mathematics I and II.

Topics to be Covered:

Topic 1: Vector Field Theory

  • Definition of dot and cross products of vectors
  • Solution of problems involving dot and cross products vectors
  • Definition of operators
  • Definition of vector field
  • Definition of curl F
  • Solutions of problems involving curl F
  • Solutions of problems involving F

Topic 2: Matrices

  • Matrix operation
  • Determinant of 3*3 Matrix
  • Inverse of 3*3 Matrix
  • Solution of linear simultaneous equations in 3 unknowns
  • Application of matrices

Topic 3: Numerical Methods

  • Definition of interpolation and extrapolation
  • Application of interpolation and
  • Application of interactive methods to solve equations
  • Application of interactive methods to areas and volumes

Topic 4: Double and Triple Integrals

  • Definition of double and triple integrals
  • Use of multiple integrals to find areas and volume
  • Consideration of double integrals in polar and cylindrical coordinates
  • Use of triple integrals in solving problems

Topic 5: Differential Equals

  • Types of first order differential equations
  • Formation of first order differential equations
  • Solutions of first order differential equations
  • Application of first order differential equations
  • Formation of the second order differential equations for various systems
  • Solution of second order differential equations
  • Application of second order differential equations

Topic 6: Laplace Transforms

  • Definition of Laplace transforms
  • Deriving Laplace transforms from first principles
  • State properties of Laplace transform
  • Determination of inverse LT of simple transforms and partial fractions
  • Solution of differentiation equations by LT
  • Solution of simultaneous differential equations by given initial conditions

Topic 7: Fourier series

  • Determination of the fourier series as a periodic function of period 2 and extended to
  • Determination of fourier series of non-periodic functions over a given range
  • Determination of fourier for even and odd functions and the half-range series for given function

Topic 8: Loci

  • Definition of a point
  • Locus of a point in relation to a circle
  • Loci of points for given mechanism

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