Exams
Final exam
Our final exam took place on May 17, 2014, at 9 AM in Hall A.
Exam group 1.
and
[PDF].
We had a global Math 1a review session in Science center Hall A on Wednesday,
May 14, 1014 from 3-4:30 PM. The average was 74/100 points with standard deviation 16.
Second hourly
The second hourly took place April 8, 2014, from 7 to 8:30 PM in Science Center Hall D
First hourly
Our first hourly took place on March 4 2014 from 7 to 8:30 PM in Science Center Hall C
The practice exams have the same structure than the exam. Here are the main themes:
| Know functions: sin, cos, tan, arcsin, arccos, arctan, xn, 1/x, exp, log, sinc, sign. |
Theorems: fundamental theorem DSf(x)=f(x),SDf=f(x)-f(0), intermediate value theorem |
Is a function f invertible or not? Is it even or odd? What is the domain and range? |
Decide about continuity and type of discontinuity (jump, oscillatory, or escape to infinity) |
Determine limits limx to a f(x). Especially fix broken points in the Hospital. |
Heal a function by dividing out common roots like in (x^5-1)/(x-1) |
| Theorems: extremal value theorem, fundamental theorem of trigonometry |
Find the roots of a function, know the Newton step method to construct roots |
Find the derivative of a function using rules like product, quotient or chain rule |
Match functions with their derivatives, both algebraically as well as graphically |
Find critical points and spot sad "Maxi", happy "Mini" or indifferent "Toby" (to be determined). |
Find global maxima and global minima on a closed interval |
Errata:
If you see an error or see something is not clear, please mail Oliver:
- corrected 2/26/2014: Practice A, answer problem 10d).
- corrected 3/4/2014: Practice B, sign error in 8b). Thanks to Yaara for noticing.
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