A book that you can use in your own without a teacher is
Engineering Mathematics Through Applications by Kuldeep Singh.
It got complete solutions to all the exercises online.
Engineering Mathematics
What is the point of calling it engineering mathematics if we are going to do a mathematics techniques course? There is nothing wrong with applying engineering examples from the start and not just tag on a couple at the end which is useless.
As for the fields of...
An excellent book which teaches mathematics in an engineering context is:
Engineering Mathematics through Applications by K. Singh.
It also has complete solutions online to all the problems in the book.
I don't agree that it is the student's job to find the relevant engineering application of...