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MATH1607: Dynamics I

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Type Open
Level 1
Credits 10
Availability Available in 2024/2025
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

ActivityNumberFrequencyDurationTotalMonitored
Lectures282 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 31 Hour28 
Tutorials55 in weeks 14,16,18,20 and 211 Hour5Yes
Problems Classes4Fortnightly in weeks 14,16,18,201 Hour4 
Preparation and Reading63 
Total100 

Summative Assessment

Component: ExaminationComponent Weighting: 90%
ElementLength / DurationElement WeightingResit Opportunity
Written examination for dynamics2 hours100Yes
Component: Continuous AssessmentComponent Weighting: 10%
ElementLength / DurationElement WeightingResit Opportunity
Fortnightly written or electronic assignments. Students will have about one week to complete each assignment. 100Yes

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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