Course Details

1. Recall and recognise different kinds of functions, their nature and related notation.
2. Describe the concept of a matrix and identify various types of matrices.
3. Use matrices to solve systems of linear equations.
4. Formulate models of realistic situations leading to systems of linear equations
5. Solve Linear Programming problems using the graphical method.

Different kinds of functions, their nature and related notation

Types of functions, (linear, quadratic, cubic, polynomial, rational, exponential, logarithmic). Inequalities in a plane Graphical representation.

Concept of a matrix and identify various types of matrices.

The concept of a matrix, types and properties of various matrices. Transpose, inverse, symmetric, and identity matrix.  Square matrices, operations on matrices (addition, subtraction, multiplication, division).

Matrices for solving systems of linear equations

Determinant of a square matrix. Inverse of a square matrix. Matrix Representation of systems of linear equations with two and three unknowns. Finding solutions of systems of linear equations using the inverse matrix method and Cramer’s method.

Applications to  realistic situations

Ability to formulate an optimization problem for a particular production model. Solve the problem using the appropriate mathematical technique, evaluate the numerical findings and make suggestions for optimal operation.  

Linear Programming problems using the graphical method

The concept of the straight line. Drawing of the line of a linear equation. x- Intercept, y-Intercept. Solve Linear programming problems using the Simplex method (minimization and maximization).

• Barnett R., Ziegler M., Byleen K., College Mathematics for Business, Economics, Life Sciences and Social Sciences. Pearson Prentice Hall 2008.

• Anton, H., and Kolman, A., Mathematics with Applications for the Management, Life and Social Sciences, 4th edition, Wiley, 2002.