Applicable Mathematics 2 (Adv Stand) (U01695)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-2-am2A

Complex numbers, Argand diagram, polar form, de Moivre theorem and roots of complex numbers. Vector geometry: vector and triple products, lines and planes in space. Matrices: determinants and inverses. Probability theory: conditional probability and independence. Distributions: normal, Poisson, exponential.

Entry Requirements

? Pre-requisites : AH-grade Mathematics or equivalent

? Prohibited combinations : MAT-1-mi2, MAT-1-GCo, MAT-1-am2

? Special Arrangements for Entry : This course and its companion "Mathematical Methods 2 (Adv Stand)" are usually taken together; the sessions listed under "Scheduled Class Hours" often cover both. The entries that feed into Timetab must be distinct, to avoid a clash, so they do not show the true timetable.

Subject Areas

Home subject area

Other Non-Specialist courses (School of Mathematics), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 2 hour(s) 30 minutes per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
18/09/2007	14:00	16:00			Lecture Room 5326 JCMB

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	10:00	10:50	KB
Lecture	Tuesday	14:00	15:50	KB
Lecture	Thursday	14:00	15:50	KB

? Additional Class Information : Lectures: shared with MAT-2-mm2A

Summary of Intended Learning Outcomes

Complex Numbers
1. Ability to perform simple arithmetic in cartesian form, including calculation of conjugate and modulus.
2. Ability to represent complex numbers on an Argand Diagram.
3. Ability to calculate with the polar form.
4. Ability to represent complex arithmetic on the Argand Diagram.
5. Ability to use de Moivre's Theorem to calculate powers, including simple roots.

Vector geometry
1. Ability to calculate the equations of lines and planes in 3D
2. Ability to calculate the vector product and the scalar triple product
3. Ability to find the intersection of a line and a plane, two planes, three planes and two lines (if they intersect)

Matrix algebra
1. Ability to add, multiply and compute the transpose
2. Ability to compute the inverse (2x2, 3x3)
3. Ability to compute the determinant (2x2, 3x3)
4. Understanding the link between matrix and determinant

Probability
1. Ability to apply simple counting methods to determine probabilities
2. Understanding the addition and multiplication rules of probability and using them in simple calculations
3. Ability to calculate probabilities from the binomial distribution

Distributions
1. Understanding simple discrete distributions and the ability to calculate means and variances
2. Understanding simple continuous distributions and the ability to calculate means and variances
3. Understanding of the Normal distribution and the ability to carry out relevant calculations by means of tables.