I'm currently preparing myself for starting my graduate degree in Electrical Engineering. The mathematics courses given are outlined as follows:
Mathematics 1
- Real functions
- Continuity, limits, derivatives, integration
- Polar & Cylindrical coördinates
- Complex numbers
Mathematics 2
- Laplace transformations
- Solving differential equations and systems
- Convolution products
- Fourier transformation
I've studied elementary mathematics in high school. This was quite a while back however, and want to prepare myself decently for this course. Because of this I am looking for recommendations on decent text- or workbooks on these subjects, tackling them from the ground up. Naturally, practical ones with lots of exercises are preferred.
Secondly; In what specific fields of study are the subjects listed above contained? This would help me guide my search.
Thanks!
Schaum's outlines are a great resource and contain lots of exercises to work through. For the "Mathematics 1" categories listed, you could probably find those all in the beginning and advanced calculus outlines. For the "Mathematics 2" categories, Schaum's Outline of Differential Equations will cover part of it. For the rest, I'd recommend Applied Partial Differential Equations by Haberman. Good luck!