###### Learning Outcomes:

On completion of this module students should be able to:

1. Determine the slope and equation of a straight line from two points on the line, or equivalent information

2. Determine whether a given function is a linear function, a quadratic function, a polynomial, a rational function

3. Extract information from the graph of a function, and plot the graph of a given function

4. Calculate simple limits and find the derivative of a few functions from first principles

5. Apply differentiation rules to calculate the derivative of a wide variety of functions

6. Manipulate and simplify expressions involving polynomials, roots, rational powers, exp and ln, and solve equations involving these

7. Use the derivative find critical points and to sketch graphs

8. Solve simple maximisation/minimisation problems

9. Calculate and interpret the integral of a polynomial

10. Formulate scientific problems involving the rate of change of a process in terms of the mathematics of differential calculus