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1 General Aftercare
- Assignments on Canvas (preferably a PDF)
- Collaborate as much as possible
- Learn and share ideas together
- Collaborate well together
- Nikhil TAing!! ;)
- ~30 mins of HW/class period. time the assignments and write it down on top.
- Tests are take home, duh (COVID NOISES!!), and are Assigned Wednesday, Due on Monday)
Expectations * A notebook should be maintained + some solved sample problems * Homework assigned each class * HW graded for Habits of Mind rubric * One graded assignments every two weeks or so
Textbooks:
2 Knowledge Points This Semester
- Limits
- Eplison delta proofs
- Limit laws
- Evaluating functions
- Prove limit laws
- Continuity
- Types of continuity + discontinuity
- Define continuity
- Immediate value theorem
- Application +
- Boundedness
- Derivatives
- Limit definition of derivatives
- Define differentialibity
- Understand how the first and second order derivatives
- Talor Series approximations
- L'Hospital rules for limits w/ indeterminate rations, indeterminate products, indeterminate products
- a final project
Everything you use on tests must be derived by you.
=> Make test corrections + consider reassessing (immediately) if necessary + meet with instructors & TAs during Wednesday lunch or Friday tutorial
3 So, what is Calculus?
- The analysis of change
- Study of curves
- Study of rate-of-change
3.1 Rate of change
We have seen this before: Slopes!
The rate of change tells you the relation in the trend of the graph. Think! Negative and positive functions!
\definition{First order rate of change}{How much is the function changing over a period of time?} \definition{Second order difference}{How much is the rate of change changing over time?}