2014/15 Undergraduate Module Catalogue
PHYS1300 Maths 2
10 creditsClass Size: 154
Module manager: Dr Anne Ghesquiere
Email: a.ghesquiere@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2014/15
Pre-requisite qualifications
'A' Level Physics and Maths or equivalentModule replaces
PHYS1160This module is not approved as a discovery module
Objectives
On completion of this module you should be able to:- solve second order, linear, ordinary differential equations with constant coefficients;
- solve the SHM equation and the damped and forced SHM equations;
- determine the limit of a sequence;
- sketch the graphs of simple functions;
- test a series for convergence;
- determine the Taylor/Maclaurin series for a function of a single variable;
- determine the Fourier half range and full range series for a function, f(x);
- determine the partial derivatives of functions of two and three variables;
- apply the chain rule;
- determine the maxima, minima and saddle points of a function of two variables.
- estimate the error in a function of two variables.
Learning outcomes
Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.
Skills outcomes
Basic mathematical skills in pure mathematics
Ability to solve differential equations
ability to model a physical problem
Syllabus
Ordinary Differential Equations:
Second order, linear ODE's, principle of superposition. Solution of homogeneous equations with constant coefficients; the complementary function. Solution of inhomogeneous equations; finding particular integrals; the general solution as a combination of the complementary function and a particular integral. Application to Newtonian mechanics; simple harmonic motion, forced and damped oscillations.
Limits and Curve Sketching
Concept of a limit; L'hopital's rule; limit of a sequence and a series. Convergence of sequences and series
Curve sketching by finding stationary points, asymptotes and various limits of functions.
Series
Power series, Maclaurin series, Taylor series and Taylor's theorem. Fourier series, half and full range series.
Several Variable Calculus
Functions of two and three variables, partial differentiation, chain rule. Finding stationary points, testing for maxima , minima and saddle points.
Teaching methods
Delivery type | Number | Length hours | Student hours |
Example Class | 10 | 1.00 | 10.00 |
Lecture | 22 | 1.00 | 22.00 |
Private study hours | 68.00 | ||
Total Contact hours | 32.00 | ||
Total hours (100hr per 10 credits) | 100.00 |
Private study
Homework: 33 hours;Study: 35 hours.
Opportunities for Formative Feedback
5 assignments.Methods of assessment
Coursework
Assessment type | Notes | % of formal assessment |
Assignment | 6 assignments submitted during semester | 15.00 |
Total percentage (Assessment Coursework) | 15.00 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
Exam type | Exam duration | % of formal assessment |
Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 85.00 |
Total percentage (Assessment Exams) | 85.00 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 27/03/2015
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- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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