Chemist here, who also programs. Inorganic chemists do calculus all the time. Organic chemists do arithmetic (stoichiometry) and some discrete analysis (instrumentation, the computers do the heavy lifting), orgo is primarily a linguistic discipline, i.e. we are expected to parse sentences like "benzophenone in THF was refluxed in the presence of Pd black for 2 hours" and to know, without being told, that there's a workup before the next step in the reaction.
Exactly. I was an organic chemist. Never used a lick of Calculus. I didn't get into programming until I'd already been working as a chemist for about five years.