Mathematics 1

Online lecture notes for the course Mat-1.1610 Mathematics 1 (10 ECTS credits)
© Antti Rasila, 2008-2010.
This material is loosely based on Ville Turunen's P1 course lecture notes.
Thanks: Pekka Alestalo, Linda Blåfield and Juha Kuortti.

This course introduces the student to the basic linear algebra, matrix operations and elementary deductive methods as well as familiarizes the student to the properties of real and complex numbers. The latter part of the course deals with calculus of one real variable. This material is intended for a first year university level course in engineering mathematics.

• Deduction and Language of Mathematics
• Introduction to Linear Algebra and Complex Numbers
• Real Line, Sequences and Series
• Properties of Functions
• Differentiation
• Integration

References

1. David C. Lay: Linear Algebra and Its Applications, 3rd international edition, Addison-Wesley, 2003.
2. Robert A. Adams: Calculus: A Complete Course, 6th edition, Addison-Wesley, 2006.