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MATH1607: Dynamics I

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Type	Open
Level	1
Credits	10
Availability	Available in 2023/24
Module Cap	None.
Location	Durham
Department	Mathematical Sciences

Prerequisites

Normally grade A in A-Level Mathematics (or equivalent)

Corequisites

Calculus I (Maths Hons) (MATH1081) and Linear Algebra I (Maths Hons) (MATH1091) OR Calculus I (MATH 1061) and Linear Algebra I (MATH 1071)

Excluded Combinations of Modules

Maths for Engineers and Scientists (MATH1551), SingleMathematics A (MATH1561), Single Mathematics B (MATH1571), Foundation of Physics 1 (PHYS1122)

Aims

An understanding of elementary classical Newtonian dynamics.
Ability to formulate and solve basic problems in dynamics.

Content

Dynamics Newton's laws.
Mass, force, energy, momentum, angular momentum.
Sample motions: simple harmonic oscillator.
Projectiles.
Charged particle in constant electromagnetic field.
Orbits.
Wave equation for small amplitude oscillations.

Learning Outcomes

Subject-specific Knowledge:

Dynamics: Newtonian Mechanics, Newton's laws.
Sample motions.
Two body systems.
Waves on strings.

Subject-specific Skills:

students will have basic mathematical skills in the followingareas: Modelling and spatial awareness.

Key Skills:

The ability to precisely formulate and solve dynamical problems.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

Lectures introduce the basic concepts.
Weekly homework problems provide formative assessment to guidestudents in the correct development of their knowledge and skills. Theyare also an aid in developing students' awareness of standardsrequired.
The examination provides a final assessment of the achievementof the student.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total	Monitored
Lectures	28	2 in weeks 14,16,18,20, and 3 in weeks 11,12,13,15,17,19 (alternating with Problems Classes) and 2 revision lectures in term 3	1 Hour	28
Tutorials	5	5 in weeks 14,16,18,20 and 21	1 Hour	5	Yes
Problems Classes	4	Fortnightly in weeks 14,16,18,20	1 Hour	4
Preparation and Reading				63
Total				100

Summative Assessment

Component: Examination		Component Weighting: 90%
Element	Length / Duration	Element Weighting	Resit Opportunity
Written examination for dynamics	2 hours	100	Yes

Component: Continuous Assessment		Component Weighting: 10%
Element	Length / Duration	Element Weighting	Resit Opportunity
Fortnightly written or electronic assignments. Students will have about one week to complete each assignment.		100	Yes

Formative Assessment

Fortnightly written or electronic assignments, to be assessed. Solutions are made available to students. Students will have about one week to complete each assignment

More information

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