Lecturer

Prof. Boris Tsirelson (School of Mathematical Sciences).

Time and place

Tuesday 14-16 Dan David 110;
Thursday 17-18 Dan David 205.

Prerequisites

Analysis 2; Linear algebra 2.

Grading policy

The final exam.

LECTURE NOTES

Preliminaries

0. Conventions, notation, terminology etc.
1. Euclidean space Rⁿ.

Differentiation

2. Differentiation.
3. Open mappings and constrained optimization.
4. Inverse function theorem.
5. Implicit function theorem.

Integration

(To appear.)

TEXTBOOK

• Jerry SHURMAN, "Multivariable calculus".

ADDITIONAL LITERATURE

A quote:

The world is not one-dimensional, and calculus doesn't stop with a single independent variable.

James Nearing, Chapter 8 "Multivariable Calculus" of the course "Mathematical Tools for Physics".