# 1

In the verge of the almost start of the next semester, I would like to mention a few words for the lectures on multilinear algebra calendar 2009B at CUCEI. It has to see with the overall plan to be developed along the weeks comprising from august to december,  for a 16 weeks period.

It would be extremely good if you already know such theories like linear algebra and vector calculus.

But because this can not be taken for granted, we will spend almost the two initial weeks to flashback such concepts like vectors, vector spaces, linear transformations and matrices, in algebra and in the calculus of several variables, we are going to review concepts like partial derivatives, directional derivative, chain’s rule, Taylor series in one and more variables, line and surface integrals and the formula of change of variables for integrals.

If you were not already taken those subjects before and you think that those can be learned meanwhile you are attending multilinear-algebra, you are going to feel that you will understand nothing after the third or fourth week, and so, you only will gain despair.

But do not worry to much, if you feel like you have a lot of questions, do not hesitate to ask me or someone else, no fear, no shame, thru this website or any other channel.

These are only preliminary advices to help you to decide what or when to study. In a next post I will explain more details about the guiding philosophy and method for our course. Remember that the main objective is to learn enough on  tensors with the aid of differential geometry to really appreciate and grasp the modern concepts that pervade the today’s scientific ideas.

# 2

### 5 responses to “multilinear algebra”

1. J Carlos Ramirez

Thanks a lot for teaching us multilineal!
You programed us well!!

• a bit, but we could be talking what was left half- or un-touched

2. k-qit
3. mee-ket

Aprovechando que aqui se habla de referencias bibliográficas qué libro recomienda para un intro a la geometría diferencial e incluso para los prerrequisitos que debe uno traer para entrarle a este rollo…

• Miguel, está el de O’neil y está en la biblioteca… yo también lo tengo y además me parece que hay una edición nueva de él…

hay otros como el do Carmo que también tengo…

principalmente esto son los utilizados… como referencia, pues lo que iremos a desarrollar vendrá apareciendo en el pizarrón y todo de forma autocontenida…
y aún si tu investigas, lo que encuentres… ¡vale mucho!

los prerrequisitos son soló cálculo vectorial y geometría analítica elemental