Module Information

Learning Outcomes

On successful completion of this module students should be able to:

1. evaluate powers of a number where the exponent is positive, negative, whole or fractional;
2. simplify algebraic expressions using the rules of exponents;
3. solve linear and quadratic equations;
4. use the function notation, y = f(x);
5. determine the inverse of a function;
6. sketch the graphs of linear and quadratic functions;
7. find the slope of a straight line given any two points on the line;
8. use both notations, f'(x) and dy/dx, for the derivative of a function;
9. differentiate simple polynomial functions and functions of the form f(x) + g(x), f(x)-g(x);
10. evaluate second-order derivatives;
11. describe the use of the exponential function in economic modelling;
12. sketch graphs involving the exponential function;
13. differentiate the exponential and natural logarithm functions;
14. evaluate logarithms in simple cases;
15. use the laws of logarithms to solve equations;
16. determine the annual percentage rate of interest given a nominal rate of interest;
17. find and classify the stationary points of a function;
18. find the maximum and minimum points of an economic function.

Brief description

Aims

Content