Applicable Mathematics 1 (U01678)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-1-am1

Basic rules of algebra; numbers and errors. Sequences and series; permutations and combinations, Binomial theorem. Polynomials and their roots, partial fractions. Basic vector algebra; scalar product and geometry. Complex numbers: cartesian, polar form and de Moivre's theorem.

Entry Requirements

? Pre-requisites : H-grade Mathematics or equivalent

? Prohibited combinations : MAT-1-mi1, MAT-1-SEq, MAT-1-af1

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 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	09:00	09:50	Lecture Theatre 4, Appleton Tower	Central	Engineers (0900), others (1210)

1 of the following 2 classes

Type	Day	Start	End	Area
Lecture	Tu	09:00	09:50	Central
Lecture	Fr	09:00	09:50	Central

1 of the following 2 classes

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

? Additional Class Information : Lectures: Tu, F 0900 or 1210
Tutorials: Wed at 0900, 1000, 1110, 1210 or 13.05 (shared with MAT-1-mm1)

Summary of Intended Learning Outcomes

Revision of basic arithmetic and algebra
1. Ability to manipulate numbers and symbols
2. Ability to round numbers and calculate decimal places and significant figures
3. Ability to sum arithmetic and geometric series
4. Ability to enumerate permutations and combinations and evaluate binomial coefficients
5. Ability to expand expressions using the binomial theorem
6. Ability to complete the square for quadratics and to solve quadratic equations
7. Ability to factor polynomials with integer roots
8. Ability to divide polynomials and construct partial fractions, graphing the result

Vectors
1. Understanding position and free vectors
2. Ability to distinguish between directed line segments and vectors
3. Ability to compute the dot product, compute angles and recognise orthogonality
4. Ability to resolve vectors
5. Ability to perform simple geometrical analyses

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 represent simple straight lines and circles in complex number notation
4. Ability to calculate with the polar form
5. Ability to use de Moivre's Theorem to calculate powers
6. Ability to use Euler's formula to find simple roots and fractional powers