BACompSci Questions

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1. Yes - the recommended option is to register for the 1 credit TECEP, but not to actually take it.
2. TESU tuition is relatively expensive. You might be better off taking more classes from outside TESU to do your RA credit or using TECEPs to work up to the 30 RA credits required - for example, some of the general education classes are available as TECEPs that are quite manageable and it's $52 USD per credit (e.g. English 101, English 102, Public Speaking). Then you can do 1 semester for 15 credits to get the flat-rate tuition.

A couple of suggestions --
You could do College Algebra, Sociology, Criminology, Nutrition and Pre-Calculus (to replace Calculus II) on Sophia.
You could check the Coursera IT professional certificate for some of the classes that you have identified. There are some others that could work for your degree plan: https://degreeforum.miraheze.org/wiki/Coursera

2. Would pre-calc count as a maths elective since I have to do Calc 1?
3. Don't I need to do 16 credits at TESU to avoid the fee waiver?