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2021/22 Undergraduate Module Catalogue

PHYS1290 Maths 1- Scalars and Vectors

10 creditsClass Size: 255

Module manager: Dr Almut Beige
Email: A.Beige@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2021/22

Pre-requisite qualifications

A Level Physics and Maths or equivalent

Module replaces

PHYS1150

This module is not approved as a discovery module

Objectives

On 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).

Learning outcomes
Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.

Skills outcomes
Basic mathematical skills in calculus, vectors and differential equations.
The ability to model a physical problem using mathematics.


Syllabus

Vector calculus
Complex numbers
Differentiation and Integration
First order differential equations


Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Delivery typeNumberLength hoursStudent hours
Lecture221.0022.00
Private study hours67.00
Total Contact hours22.00
Total hours (100hr per 10 credits)89.00

Opportunities for Formative Feedback

Regular assignments, and 1 diagnostic test

Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information


Coursework
Assessment typeNotes% of formal assessment
Online AssessmentOnline Mid-Term Assessment20.00
Total percentage (Assessment Coursework)20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated


Exams
Exam typeExam duration% of formal assessment
Online Time-Limited assessment2 hr 00 mins80.00
Total percentage (Assessment Exams)80.00

Students will have to complete an online assessment at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound. Students are required to pass all assessments for this module in order to pass the module overall.

Reading list

The reading list is available from the Library website

Last updated: 12/07/2021 13:47:39

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