Undergraduate Course

Instructor: Dr Mahdi Alavi

School of Technologies 

Cardiff Metropolitan University

Fall 2021

Syllabus:

  • Functions
    • 1st order straight-line functions
    • 2nd order quadratic functions
    • 3rd order or cubic functions
    • Logarithmic & Exponential functions 
    • Trigonometry functions 
    • Linear and nonlinear functions
    • Periodic functions
    • Even and odd functions
    • Inverse functions
  • Vectors
    • Definition
    • Vector addition and subtraction
    • Scalar and vector products 
  • Complex Numbers
    •  Cartesian complex numbers
    • The Argand diagram
    • Addition, subtraction, multiplication, and division of complex numbers
    • Polar form of complex numbers
    • Multiplication and division of complex numbers in polar form  
  • Matrices
    • Definition
    • Addition, subtraction, and multiplication
    • Determinant
    • Inverse of matrix
  • Equalities and inequalities
    • Solution of 1st and 2nd order equations
    • Solving simultaneous or set of equations using matrices
  •  Differentiation
    • Definition  
    • Curve slope
    • Maximum and minimum of functions
    • Derivative rules 
  • Integral
    • Area under curve
    • Integral rules

Evaluation policy:

  • Mid term 50%
  • Final 50%

Reference

  • John Bird (2006) Higher Engineering Mathematics, Fifth Edition, Elsevier Ltd.