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Course description

The course is to provide the foundation to the students’ skills in using numerical approaches to solve ICT based 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, students will be able to:-

  1. Use mathematical concept in other courses.
  2.  Apply different mathematical principles to solve Problems
  3. Compute various mathematical equations
  4. Derive mathematical formulas.
  5. Calculate different equations
  6. Formulate equations

 

Course Contents:

1.     Algebra:

a.    Indices and logarithms; (Book 4

b.    simultaneous equations; Exercises 1

c.    quadratic equations;

d.    coordinate geometry of a straight line;

e    Vector algebra. (form four book)

2.    Trigonometry:

a.    Trigonometric formulas and equations. (Ref: https://www.youtube.com/watch?v=cMqetVG8vRU)

3.    Matrices and determinants: (book four) 

a.    Operations on matrices;

b.    Inverse of a matrix and properties of determinants.

c.    Systems of linear equations – Gaussian elimination method,

d.    Cramer’s rule.

4.    Calculus: (Pure mathematics)

a.    Functions – including polynomial,

b.    Trigonometric, exponential, logarithmic functions.

Required Readings

Serge Lang (1988). Basic mathematics, First edition. Springer, USA.