Course description

The course is to provide the foundation to the students’ skills in using numerical approaches to solve mathematical/real life problems. The focus will be on the ability to correctly formulate numerical problems and schemes that solve them.

Course Objectives:

  • To provide a basis on the numerical approaches to computational, problem solving;
  • To provide students with problem analysis and solving skills to be able to
    handle typical computational problems in practice.

Course learning outcomes

At the end of the course candidates should be able to:

  • Use Mathematical skills in basics of Information Technology.
  • Use the schemes to generate solutions to the different setups of numerical problems to the required precision
  • Use mathematical concept in other courses.
  • Apply different mathematical principles to solve Problems in Information Technology
  • Compute various mathematical equations
  • Derive mathematical formulas.

Course Contents:

  • Linear Programming: Simultaneous Equations, Linear Inequalities, Linear Programming.
  • Coordinate Geometry: Equation of straight Line, Midpoint of a line segment, Distance between two points on a plane, Parallel and Perpendicular Lines, Solve problems on parallel and perpendicular lines
  • Trigonometry: Trigonometrical Ratios in a unit Circle, Relationship between trigonometrical ratios, positive and negative Angles, Application of Trigonometric Ratios.
  • Vectors: Displacement, Equivalent and Position Vectors, Magnitude of a Vectors, Direction of a vectors, Addition of Vector, Addition of Vectors, Scalar Multiplication of Vectors, Application of Vectors.
  • Exponential and Logarithmic Functions:

Required Readings

  • Tanzania Institute of Education (2002). Secondary Basic mathematics Book four

Recommended Readings

  • Numerical Analysis by Richard L. Burden and J. Douglas Faires, Wardsworth,1993.
  • A.K. Kaw, E.E.Kalu and D.Nguyen (2008). Numerical Methods with Applications