|
|
|
|
|
|
|
short description:
Our central goal is to understand relationships between variables; these are described mathematically by functions. If we are interested in the effect of one variable on one other variable, we are led to the study of functions of a single variable.
long description:
Topics covered: Functions on R1, Linear Functions, The slope of
Linear Functions, Computing Derivatives, Differentiability and
Continuity, Higher Order Derivatives, Approximation of Differentials; Using the First Derivative for Graphing, Second Derivatives and Convexity, Graphing Rational Functions, Tails
and Horizontal Asymptotes, Maxima and Minima;
Composite Functions and the Chain Rule, Inverse Functions and their Derivatives; Exponential Functions, The
Euler number, Logarithms, Properties of Exp and Log, Derivatives
of Exp and Log; Applications
level of difficulty:
beginner
minimum class size:
5
availability:
n.a.
fee comments:
n.a.
|
session structure
|
|
|
|
title:
|
|
type:
|
|
description:
|
|
duration:
|
|
Foundations
|
|
live session
|
|
Functions on R1, linear functions, derivatives, differentiability and continuity, approximation by differentials
|
|
2h 30m
|
|
|
Applications
|
|
live session
|
|
First derivative, second derivative, rational functions, tails and horizontal asymptotes, maxima and minima, applications to economy
|
|
2h 30m
|
|
|
Chain rule
|
|
live session
|
|
Composite functions and the chain rule, inverse functions and their derivatives
|
|
2h 30m
|
|
|
Exponents and Logarithms
|
|
live session
|
|
Exponential functions, the Euler number, Exp and Log, applications
|
|
2h 30m
|
|
|
total duration: 10h 0m over 4 session(s)
comments: n.a.
|
|
|
|
|
|
|
|
|
|
|
|
languages:
English
duration:
10h 0m over 4 session(s)
fee:
400US$ (4000lp)
payment:
at booking
delivery method:
live online
|
|
|
|
|
|
Christian Baraldo
|
|
|
description of :
Currently involved in research activities in cosmology and mathematical modelling.
Teacher's qualifications:
Doctor of Science in Cosmology, i.e. Theoretical High Energy Astrophysics (Tokyo Institute of Technology)
Dipl.-Phys. Univ. (Technical University of Munich)
Equivalent degree: MSc in Physics
Research topics undertaken cover black holes, cosmology, general relativity, gravitational waves and gravitational lensing.
Published work includes: "Gravitationally induced interference of gravitational waves by a massive object", Physical Review D54 (C.Baraldo, A.Hosoya, T.T.Nakamura).
's preferred teaching style:
I teach by way of live online lectures, using the voice and text chat as well as the drawing board feature of the online classroom. Questions by students are always welcome. "There is no such thing as a stupid question!"
|
|
|
