2005/06 Undergraduate Module Catalogue
PHYS1150 Basic Mathematical Methods
10 creditsClass Size: 100
Module manager: Professor M D Savage
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2005/06
Pre-requisite qualificationsA Level Mathematics or equivalent.
This module is not approved as an Elective
ObjectivesOn completion of this module you should be able to:
- differentiate and integrate a wide range of functions of one variable;
- add, subtract,multiply and divide complex numbers in Cartesian and polar form;
- derive and use Euler's equation;
- use De Moivre's theorem to calculate the nth roots of a complex number;
- use the parallelogram and triangle laws to add and subtract vectors;
- use vectors in component form to calculate the modulus and a unit vector;
- calculate scalar and vector products;
- write down the equation of a line and a plane in vector form;
- differentiate vectors;
- write down expressions for velocity and acceleration in Cartesian and polar coordinates;
- distinguish between linear and nonlinear ordinary differential equations;
- solve first order ordinary differential equations using three methods(separation of variables, integrating factor and homogeneous equation methods).
Basic mathematical skills in calculus, vectors and differential equations.
The ability to model a physical problem using mathematics.Basic mathematical skills in calculus, vectors and differential equations.
The ability to model a physical problem using mathematics.
Review of elementary functions and their inverses;hyperbolic functions and their inverses. Partial fractions.
Review of A-level trigonometry. Review of A-Level calculus.
Vectors: vector addition and subtraction, modulus and unit vector. Resolution of a vector. Scalar and vector products. Application to the geometry of lines and planes. Differentiation of vectors, velocity and acceleration in polar coordinates.
Differential Equations: Linear and nonlinear equations. First order ordinary differential equations, 3 methods of solution (separation of variables, integrating factor and homogeneous equation method) . Application of first order equations to mechanics.
Complex Numbers: Argand diagram, Cartesian and polar forms, complex conjugate, modulus. Euler's equation, De Moivre's theorem and nth roots of a complex number. Loci and roots of polynomials.
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationLectures 22 x 1 hour;
Example classes/workshops: 10 x 1 hour.
Private studyReading: 28 hours;
Examples: 40 hours.
Opportunities for Formative Feedback5 assignments.
Methods of assessment
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information1 x 2 hour written examination at the end of the semester: 85%;
5 assignments submitted during the semester: 15%.
Reading listThe reading list is available from the Library website
Last updated: 16/08/2007
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