Mathematics for aspiring physicists

IAP 2021

Lecture 1

1.1 Dynamics of one variable

1.1.1 Continuity and Taylor series expansions

 

1.1.2 Small displacements and linear response

1.1.3   Ordinary differential equation (ODE)

1.1.4   The exponential solution

1.1.5   Time reversal symmetry

1.1.6   Energy function; gradient descent and conservation

Recap  

(Combined notes for lecture 1)

Exercises:  

MathPhys lec1 - last update 12/30/20 by M. Kardar