What are examples of organic compounds compared to nonorganic compounds?

Chemistry that is not $\text{organic chemistry}$ falls under the umbrella of $\text{inorganic chemistry}$. Organic chemistry covers the chemistry of hydrocarbons, carbohydrates, proteins, and all of biological chemistry.
And $\text{inorganic chemistry}$ covers everything that is not covered by organic chemistry. The chemistry of the transition metals is especially important, as it encompasses reactions that cannot be easily performed by organic chemists; it includes acid-base chemistry; complex formation; transition metal chemistry; and the chemistry of the main-group metals.