Is engineering right for me?

I don’t know anything about Denison, but it does not appear to be an ABET-accredited degree. A more typical, accredited degree requires mathematics through multivariable calculus plus linear algebra and sometimes more, and often requires the standard two-course physics sequence (mechanics and electricity & magnetism).

See, for example: [url=<a href=“https://cs.illinois.edu/academics/degree-program-options/bs-computer-science-engineering%5DUIUC%5B/url”>https://cs.illinois.edu/academics/degree-program-options/bs-computer-science-engineering]UIUC[/url], [url=<a href=“https://www.csd.cs.cmu.edu/academics/undergraduate/requirements#bscsreq%5DCMU%5B/url”>https://www.csd.cs.cmu.edu/academics/undergraduate/requirements#bscsreq]CMU[/url], [url=<a href=“http://cs.stanford.edu/degrees/undergrad/Requirements.shtml%5DStanford%5B/url”>http://cs.stanford.edu/degrees/undergrad/Requirements.shtml]Stanford[/url]