Applicable Mathematics 2 (U01681)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-1-am2

Matrices, inverses and determinants, linear equations and Gaussian elimination. Power series with radius of convergence, Taylor-Maclaurin series and applications. Vector geometry: vector and triple products, lines and planes in space. Descriptive statistics, sample mean and variance. Best least squares fit. Probability theory: conditional probability and independence. Distributions: binomial, Poisson, uniform, exponential, normal.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-1-am1

? Prohibited combinations : MAT-1-mi2, MAT-1-GCo, MAT-2-am2A

Subject Areas

Home subject area

Mathematics for Physical Science & Engineering, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 1st year

? Delivery Period : Semester 2 (Blocks 3-4)

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

1 of the following 2 classes

Type	Day	Start	End	Area
Lecture	Tu	09:00	09:50	Central
Lecture	Tu	12:10	13:00	Central

1 of the following 2 classes

Type	Day	Start	End	Area
Lecture	Fr	09:00	09:50	Central
Lecture	Fr	12:10	13:00	Central

? Additional Class Information : Lectures: Tu, F 0900 or 1210
Tutorials: Wed at 0900, 1000, 1110 or 1210 (shared with MAT-1-mm2)

Summary of Intended Learning Outcomes

Series
1. Understanding the nature of power series and the radius of convergence
2. Ability to undertake simple calculations using the geometric, binomial, exponential and trigonometric series
3. Ability to construct Maclaurin and Taylor series

Matrix algebra
1. Ability to add, multiply and compute the transpose
2. Ability to solve linear equations using Gaussian elimination
3. Ability to compute the inverse (2x2, 3x3)
4. Ability to compute the determinant (2x2, 3x3)
5. Understanding the link between matrix, determinant and solution of equations
6. Ability to solve homogeneous equations

Vector geometry
1. Ability to calculate the equations of lines and planes in 3D
2. Ability to calculate the vector product and the scalar and vector triple products
3. Ability to solve various intersection problems involving lines and planes

Descriptive Statistics
1. Ability to calculate quartiles, means and standard deviations from sample data and understanding the meaning of these measures
2. Understand the use of least squares for line fitting.

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 using conditional probabilities
4. Understanding the importance of statistical independence

Distributions
1. Understanding simple discrete distributions and the ability to calculate means and variances
2. Ability to calculate probabilities from the binomial distribution
3. Understanding simple continuous distributions and the ability to calculate means and variances.
4. Ability to calculate using uniform, Poisson and exponential distributions
5. Ability to calculate Normal distribution probabilities using a table of the Standard Normal
6. Ability to calculate confidence intervals for means