My university requires two semesters of chemistry, both of which require calculus as a pre-requisite, but do not require the lab component. You should check with your advisor; I haven't obtained my degree yet, nor do I know whether or not the chemistry one needs will be included in any of your other courses.
Here are the topics from my online course catalog:
CHEM 201 GENERAL CHEMISTRY FOR SCIENTISTS AND ENGINEERS I
Principles of chemistry including stoichiometry, atomic structure, chemical bonding, molecular structure, kinetic theory of gases, solutions, equilibrium, and thermochemistry.
CHEM 202 GENERAL CHEMISTRY FOR SCIENTISTS AND ENGINEERS II
Principles of chemistry including thermodynamics, electrochemistry, chemical kinetics, nuclear chemistry, metals and non-metals, coordination compounds, and properties of inorganic, organic, and biological molecules.