Interactive Syllabus

Mathematics III

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This is the third continuation of the main Maths courses in the programme.

Everything is covered in the textbook (Chapters 7-9).

1. Metrics - abstract concept, practical use

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2. Metrics - topology, general principles and results

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3. Differential Calculus as direct applications of linear algebra in geometric analysis

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4. Integral Calculus as direct applications of linear algebra in geometric analysis

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5. Ordinary differential equations, basic principles and numerical approach

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6. Ordinary differential equations as flows of vector fields, qualitative approach

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7. Ordinary differential equations in modelling

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8. Vector fields and differential forms, implicit function theorem

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9. Integration revisited, Stokes theorem and classical vector calculus

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10. Remarks on Variational Calculus, general concepts

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11. Remarks on Variational Calculus, gradient descent applications

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12. A few glimpses towards the concepts of holomorphy

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Mathematics III
- Study now
  
  1. Metrics - abstract concept, practical use
- Study now
  
  2. Metrics - topology, general principles and results
- Study now
  
  3. Differential Calculus as direct applications of linear algebra in geometric analysis
- Study now
  
  4. Integral Calculus as direct applications of linear algebra in geometric analysis
- Study now
  
  5. Ordinary differential equations, basic principles and numerical approach
- Study now
  
  6. Ordinary differential equations as flows of vector fields, qualitative approach
- Study now
  
  7. Ordinary differential equations in modelling
- Study now
  
  8. Vector fields and differential forms, implicit function theorem
- Study now
  
  9. Integration revisited, Stokes theorem and classical vector calculus
- Study now
  
  10. Remarks on Variational Calculus, general concepts
- Study now
  
  11. Remarks on Variational Calculus, gradient descent applications
- Study now
  
  12. A few glimpses towards the concepts of holomorphy

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