### Course description

The course is to provide the foundation to the studentsâ€™ 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