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MH2100 Calculus 3

Course Summary

This course covers calculus in 3 dimensions and thus includes content on Vectors, Vector fields and Coordinate Change. It is taught by Gary Greeves which is a student favourite professor as he is articulate and knowledgeable. The content covered is:

  1. Vectors
  2. Limits
  3. Continuity
  4. Partial Derivatives
  5. Tangent Planes
  6. Differentiability
  7. Linear Approximations
  8. Directional Derivative
  9. Gradient Vector
  10. Critical Points
  11. Lagrange Multipliers
  12. Coordinate Change
  13. Plane Transformation
  14. Line Integrals
  15. Surface Integrals
    1. Scalar Field
    2. Vector Field
  16. Curl
  17. Stoke's Theorem

Workload

The workload is generally manageable but the lecutres might seem a bit content heavy. Once understood they are pretty easy to just apply since it's just mathematics but it can get tedious.

Projects

There are no projects for this as this is a pure mathematics module. There are 2 graded assignments and some online quizzes throughout the module so do be prepared for that.

Things to take note of

The prof uses an online tool to check your knowledge during the lectures and this counts towards an attendance mark so please do attend lectures for this. It also helps to solidify your understanding of the content taught.

Conclusion

A pretty challenging but necessary module to take, espeically as a ML student, as this is how stochastic gradient descent works and thus it is very important for your understanding.