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The first and most important thing is to understand the organisation. You have to know about all the parts: every office, every subsidiary, every product. You know have to know any of the details, at first you just have to know they exist.
The second thing is relationships. You must establish relationships with your immediate subordinates, superiors and equivalents.
After that it depends on circumstances, but in the early days don't lose sight of your own training and development needs - there will be some. Be aware of focussing on things with which you are familiar while ignoring things that you are not.
The first thing that you should do is to understand how the organisation work and how they do their business. You should study the workflow and heirarchy of their operation. You should know the ins and out of the product of the company and your major role in that business.
Next, is you should develop ties, good rapport and connections to your colleagues. Remember, that they will be your future asset and leaders. You should have a good startup in building good relationship with your colleagues.
Have yourself imbued and adopt with the core values of the company and the direction the company is heading. Ensure that you are able to adopt and adjust on the corporate setting.