Mathematics I Notes

Description

Mathematics I Notes from semester 1 of BEng in Biotechnology (pdf format)

Notes are based on the semester 1 course of the same name, 10ECTS at College University Absalon (Denmark).

All notes are made by myself (Ariadna), and the notes and course are based on the book “Advanced Engineering Mathematics” 10th ed. 2011 John Wiley And Sons Ltd from E. Kreyszig (ISBN 9780470646137)

Complex numbers

• Carry out basic manipulations with complex numbers
• Solve linear and quadratic equations in complex space
• The real and complex coordinate space
• Elementary complex functions

Linear algebra

• Do basic matrix operations e.g. addition, subtraction, multiplication, and inversion
• Solve systems of linear equations using matrix methods
• Compute determinants of matrices
• Vector spaces
• Matrix algebra
• Systems of linear equations
• Linear dependence

Differential equations

• Classify a differential equation
• Solve inhomogenous 1st and homogeneous 2nd order differential equations analytically
• 1st and 2nd order differential equation