F17ZD - Mathematics for Data Scientists 4 Introduction to Linear Algebra

Course leader(s):

• To be announced (Edinburgh, January)

Syllabus

1. Complex Numbers (1.1 Definition; Real and imaginary parts; Arithmetic of complex numbers;Solving quadratic equations; The Argand diagram; Modulus and argument; the polar form of a complex number; The exponential form; De Moivre’s theorem.)

2. Matrices (2.1 Definition and notation for matrices; Null zero matrix; Identity matrix; Transpose matrix; Addition and subtraction; Multiplication by a scalar; Matrix multiplication; The2x2 and 3x3 determinant; The inverse of a 2x2 matrix; Solving systems of linear equations; formulating problems in matrix form.)

3. Computer Algebra System (3.1 Accurately and precisely input mathematical syntax into a computer algebra system)

Learning outcomes

By the end of the course, students should be able to do the following:

• demonstrate fluency in manipulating complex numbers in cartesian, polar and exponential form
• perform accurate calculations with matrices and determinants and use them to solve systems of equations
• solve systems of linear equations using row elimination
• interact with computer algebra system by inputting mathematical data in an accurate and precise manner

Further details

Curriculum explorer: Click here

SCQF Level: 7

Credits: 7.5