PHYS-C0230 - Klassinen dynamiikka D, 19.04.2021-03.06.2021
This course space end date is set to 03.06.2021 Search Courses: PHYS-C0230
Matematiikka taitoja: mitä pitäisi oikeasti jo osata
Completion requirements
Vectors, dot products, cross-products:
- Understand what the vector is and are familiar with the typical notation for vectors
- Know how to take dot product of vectors
- Know how to take cross-product of vectors
Matrices:
- understand what they are
- understand the product of matrices and products of matrices and vectors
Basic integrals/calculus:
- Understand what integrals are and typical notations
- Know how to do basic integrals (can use a computer/tables for more complicated ones)
Partial derivatives (and total derivative):
- We will use functions of several variables extensively and need to take partial derivatives of them. It is assumed you know how to take total derivatives and partial derivatives.
Trigonometry:
In case you haven't got the routine with trigonometric functions, some calculations might be complicated due to lack of practice. Here is a summary of most commonly occurring trigonometric identities. These are useful!
- Classic which connects sines and cosines to exponents with complex argument. $$\exp(i\phi)=\cos\phi+i\sin\phi.$$ If in trouble, you can use this to derive other identities.
- Understanding that $$\sin x$$ is an odd function around $$x=0$$ while $$\cos x$$ is even.
- These formulas appear quite frequently...have a look and use when needed.
- Also these formulas...
- Understand the geometrical meaning of sine, cosine, and tangent.
Last modified: Thursday, 11 March 2021, 10:16 AM