Wait, is this high school or college? That looks like 3 different courses you're listing there - I've never heard of a high school offering more than a single year of calculus.
Some schools which allow students to take calculus 1 and 2 before senior year also offer multivariate calculus (3), differential equations, and linear algebra courses to round out the fourth year of math. This is especially prevalent when students can take geometry in 8th grade which leads to Algebra II, Pre-Cal, Calculus, Advanced Math Electives as the four year progression.
My public high school in WA also had this. "AP Calculus" covered Calc I and II, and once you had completed that there was a special elective called "Advanced Calculus" that covered Calc III (and prepared you for the AP Calc BC exam). In my graduating class about 30/430 ended up in this Advanced Calculus class senior year having finished AP Calculus as juniors, but many more who completed "regular" AP Calculus as seniors also ended up in STEM fields.
I took Advanced Calc and AP Stats senior year, which in retrospect was a mistake :P
* Calculus I: limits, derivatives, integrals
* Calculus II: More integration techniques (substitution, by parts, table), infinite series and convergence, basic numerical methods
* Calculus III: multi-variable calculus (partial derivatives, multiple integrals), vector calculus (gradient, divergence, curl, surface and line integrals)
ODEs were a class you could take after Calc II.