Course Content 
Expand+MATH00040 Access to Science, Engineering and Agriculture  Mathematics II
Academic Year 2022/2023
The objective of this course is to build on the course MATH00030, Access to Science, Engineering and Agriculture  Mathematics 1, which students too...
HideMATH00040 Access to Science, Engineering and Agriculture  Mathematics II
Academic Year 2022/2023
The objective of this course is to build on the course MATH00030, Access to Science, Engineering and Agriculture  Mathematics 1, which students took in the first trimester. Together these modules will enable successful students to obtain the necessary mathematical skills for entry to a Science or Agriculture degree programme and to an Engineering degree programme for qualifying students. In addition to these modules, students may avail of the services of the Maths Support Centre  https://www.ucd.ie/msc/
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 NewtonRaphson 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.
