Syllabus
• Linear vector spaces
• Matrices and determinants, systems of linear equations, Gauss elimination, Cramer rule
• Bilinear and quadratic forms.
• Calculus in more than one variable, metric spaces, limits and continuity
• Partial derivatives and total differential, grad, div, rot
• Integration in more than 1D, Fubini theorem, substitution theorem.
• Exchange of limit and integral, and of derivative and integral.
Annotation
Linear vector spaces, matrices and determinants. Differential and integral calculus in more than 1 variable.