A stockbroker invests in the stock market for individuals or corporations. Only members of the stock exchange can conduct transactions, so whenever individuals or corporations want to buy or sell stocks they must go through a brokerage house. Stockbrokers often advise and counsel their clients on appropriate investments. Brokers explain the workings of the stock exchange to their clients and gather information from them about their needs and financial ability, and then determine the best investments for them.
The mathematics required for stockbrokers includes but is not limited to College Algebra, Trigonometry, Geometry, Calculus I and II, Mathematical Economics, Game Theory, and Statistics for Economists.
In order to find the average income of a stockbroker, please use this link.
For more information about becoming a stockbroker, the US Bureau of Labor Statistics breaks down the job of a stockbroker into multiple sections to help better understand the requirements of becoming a stockbroker.