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Description
Fall 2015
Dorais
MATH 021
These notes cover the material tested on the first exam.
These notes cover the material tested on the second exam.
These notes cover the final material tested on the second exam.
These notes cover the material tested on the third exam.
These notes cover the material tested on the final exam.
So far we have covered tangent and secant lines, and have been introduced to the limit process.
Week 2 covers Limit Laws, Continuity, and Limits at Infinity (aka exponent rules). Also includes Squeeze Theorum, Intermediate Value Theorum, and Homer's Method for certain cases.
In week 3 we covered how limits behave at infinity - including exponent rules and methods for solving limits at infinity - and the differentiability of functions.
Derivative of a function, limit laws, derivatives of trig functions, intro to hyperbolic functions and the derivatives of hyperbolic functions
Chain rule, implicit differentiation, and derivatives of inverse functions (aka arcsinx, arccosx etc)
Related Rates and Exponential Growth and Decay
Extreme value theorem, critical points, linearization, differentials
Topics covered in week 1 (Trigonometry review, unit circle, tangent lines and velocity), as well as a set-by-step review of both versions (A+B) of Quiz 0.