Hello! I am a freshman at UR and I am taking 171 this semester. I notice that many kids in my AP BC class in my high school enroll in multidimensional calc or linear algebra (courses equivalent to 164 or 165 in UR) for the first year. So I am wondering do I make a mistake in choosing a math course while I am supposed to take 164 or 165 with a 5 on BC? I am kind of confused about the difference between 160 and 170 sequence. It seems that 164/165 is harder than 171? Should I take 164 or 165 in summer session or take one of them instead of 172 next semester? Thanks!!!
There are 3 math/calculus pathways at UR.
The 140 sequence is for those students who need some extra time learning calculus; it’s 2 semesters of calc spread out over 3 semesters.
The 160 sequence is what most students take. (Engineering, science, math, comp sci, data science, econ, business)
The 170 sequence is the proof-based calculus that many math and computer science majors.
UR’s math department recommends that students with AP credit either start with MTH 164 (Calc 3–multivariable calc) and continue from there. OR alternatively, they restart their calc sequence with 171 because the proof-based course is taught through a different approach than standard math classes which makes it very difficult for students with advanced standing to start mid-way through the sequence with MTH 174.
As to whether you made an error–it all depends on what your goals are.
Are you trying trying to get thru your math requirements for your major as quickly as possible? Or are you trying to develop a deep understanding of the theoretical foundations of mathematics?
If you’re interested in going to grad school (Ph.D) in math, comp sci, physics, optics or a similar field, then the 170 sequence is probably the one you want to take.