MTH1020 Analysis of change

When you finish this unit, you should be able to:

1. 1

   Demonstrate basic knowledge of complex numbers, including algebraic manipulations and their various representations;

2. 2

   Demonstrate basic knowledge of vectors in two and three-dimensional space, their properties, and geometric applications;

3. 3

   Calculate simple limits to describe continuity and behaviour of one-variable real functions near a point and at infinity;

4. 4

   Explain how differentiation and integration arise via limits;

5. 5

   Calculate derivatives and integrals using a variety of methods;

6. 6

   Use calculus methods to analyse function characteristics such as local and global extrema, concavity and points of inflection;

7. 7

   Solve differential equations of the separable variables type;

8. 8

   Use calculus techniques to solve a variety of problems that can be modelled with functions or with first order differential equations;

9. 9

   Demonstrate proficiency in mathematical writing and communication.