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In addition to having an online homework system if possible, you might also consider asking the students present a few problems in class.
This would make the students at the very least care more about the homework and the subsequent class discussion would help you identify some of the difficulties with the assignment.
Online homework combined with presentations seems ideal.
Lots of practice, instantaneous feedback on all problems, detailed feedback on several problems.
Most of our team members are top-notch calculus solver with advanced degrees in their areas of specialization.
Calculus Homework Answers
As such, when presented with clear instruction on calculus homework, they simply provide the best solution to help you score high grades.
The only work you really have to grade by hand is work that involves writing, critical thinking, and higher-level reasoning.
If you assign a lot of that and feel that it's too much to grade, then one option is to grade a random sample of the problems.
Often this helps a great deal with the computational practice many calc students seem to need.
Doing algebra in front of your classmates will certainly inspire to get every step right and will ensure that you are able to explain the validity of each step.