General information

• Course Information
• Formula Sheet
• Introduction slides

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Selected slides

• Lectures 3-5 [Further Examples]
  
  (lines and planes)
• Lecture 7
  
  (angles; work; projections; vector moment; applications)
• Lectures 8-9 [Further Examples]
  
  (intro to partial derivatives)
• Lecture 10
  
  (least squares; Taylor expansions)
• Lecture 11 [Further Examples]
  
  (small changes: worked examples)
• Lecture 13
  
  (integration of simple PDEs)
• Lecture 15 [Further Examples]
  
  (critical points; their classification)
• Lecture 17
  
  (scalar and vector fields; level sets; contour curves; the DEL operator;
  directional derivative and its geometrical interpretation)
• Lecture 18
  
  (interpretation of the gradient; normal to a curve/surface)
• Lecture 19
  
  (divergence of a vector field; interpretation; examples)
• Lecture 20
  
  (curl of a vector field; physical interpretation; Laplacian; nabla identities; irrotational vector fields;
  finding the associated scalar potential associated with an irrotational vector field)
• Revision lectures: [Lecture 1] [Lecture 2] [Lecture 3]
  
  

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External resources

• GRAD video
• DIV video
• CURL video

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MathTutor Computer aided learning

Use these resources to brush up on school maths
(some of these topics have also been covered in HG1M11, which is a pre-requisite for HG1M12).

• Integration
• Differentiation
• Algebra
• Arithmetic
• Geometry and vectors
• Functions and sequences
• Trigonometry

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Assessment

2017-18

• Coursework [ Solutions] [Feedback]
• Class Test [ Solutions]

2018-19

• Coursework [ Solutions] [Feedback]
• Class Test [ Solutions] [ Revision Questions]

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Exams

[ 2019] [ 2019b] [ 2018]

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Page created by Ciprian Coman
Last updated: May 2019