**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:-

- Use mathematical concept in other courses.
- Apply different mathematical principles to solve Problems
- Compute various mathematical equations
- Derive mathematical formulas.
- Calculate different equations
- 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.