# Exams

## Final exam

The final Math 1a exam took place at 2 PM on May 8, in Hall E. We had a final review on Thursday, May 3th 2012 from 7:30 PM 9:00 PM in Science Center Hall D (featuring Liz with the 3D printer).The final exam average score was 83 (scaled to 100) The standard deviation was 18 (again if all scores were scaled to 100).

## Second hourly

The first hourly took place on Tuesday, April 5, 2012 at 6 PM in Hall E. The average was 79, the standard deviation still 15. Here were the three practice exams.## First hourly

The first hourly took place on Tuesday, March 1, 2012 at 6 PM in Hall E. The average was 82, standard deviation 15. Here are two practice exams:Know functions: sin,cos,tan,asin,acos,atan,polynomials,1/x, exp,log, sinc, sign. | Theorems: DSf(x)=f(x),SDf=f(x)-f(0), intermediate value, extremal value, fund thm. of trig | Is a function f from A to B invertible or not? Is it even or odd, or neither? | Decide about continuity and type of discontinuity (jump, oscillatory, or escape to infinity) | Determine limits lim_{x to a} f(x), also with l'Hopital's rule |
Heal a function by dividing out common roots. Especially know (x^5-1)/(x-1) |

Find roots of a function, especially linear quadratic and trig, know Newton step | Find the derivative of a function using rules like product rule, chain rule | Match functions with their derivatives, both algebraically as well as graphically | Find critical points and determine whether local max, local min, or saddle point | Find global maxima and minima | Know what the Newton method is |

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