Learning Outcomes:
On successful completion of this module the student should be able to:
1. Add and multiply matrices;
2. use Gaussian elimination to find the inverse of a matrix and to solve systems of linear equations;
3. calculate the determinant of a matrix; find the eigenvalues and corresponding eigenvectors of a matrix;
4. calculate the dot and cross products of a pair of vectors;
5. add, multiply and divide complex numbers;
6. find the polar form of a complex number and then use De Moivre’s Theorem to find its roots;
7. differentiate expressions using the product, quotient and chain rules;
8. find and classify critical points;
9. use the Newton-Raphson method to find roots of an equation;
10. integrate using substitution, by parts and partial fractions;
11. use integration to find areas and volumes;
12. use the addition and multiplication rules of probability and calculate conditional probabilities;
13. calculate probabilities using the binomial, Poisson and normal distributions.