Difference between revisions of "Final exam information"
From UBCMATH WIKI
(→Exam formulae list) |
(→Exam formulae list) |
||
Line 85: | Line 85: | ||
|$a^2=b^2+c^2-2bc\cos(\theta)$ | |$a^2=b^2+c^2-2bc\cos(\theta)$ | ||
|- | |- | ||
− | |$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}$ | + | |$\displaystyle \frac{a}{\sin(A)}=\frac{b}{\sin(B)}$ |
|- | |- | ||
− | |$ | + | |$ \sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$ |
|- | |- | ||
|$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ | |$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ |
Revision as of 15:59, 28 November 2016
Contents |
Final exam date and time
The final exam will be held on Dec 12 at 8:30 am, 2016.
What will the exam look like?
Content
- The material covered by the final exam includes material from Chapters 1-15 of the course notes. See the Course calendar for detailed readings.
- The best way to study is to do lots of problems. Questions similar to both the WeBWorK assignments and the OSH will appear on the final exam. For additional problems, look at the back of each chapter of course notes and the review problems in Chapter 16.
- The difficulty of the exam will be similar to that of the midterms although you will probably find that you are not as pressed for time.
- There will be a slight emphasis on the material covered since the Midterm but the exam will definitely be cumulative.
Format
The final exam will consist of
- a number of multiple choice questions,
- some short answer problems (show work, enter answer in a box) and
- a few longer problems.
Practice for the final exam
- Exams from previous years are available on the Math Department website. Keep in mind that the material varies from year to year so some problems appearing on old exams might not be relevant this year. Similarly, some topics covered this year might not appear on any of the old exams.
- Hints and solutions to many of these old exams are available on the Math Exam Resources page.
- Problems at the back of each chapter of the course notes (see menu for link) have answers at the end of the course notes in the appendices.
- A page on the wiki of practice problems.
Final exam room assignments
This list of exam room assignments is provided for convenience. If there is any disagreement between this list and the official schedule, follow the official UBC exam schedule.
Section | Building and room # |
---|---|
101 | SRC B |
102 | SRC C |
103 | MATH 100 |
104 | SRC A |
105 | SRC B |
106 | SRC C |
107 | SRC C |
110 | SRC A |
Exam formulae list
The following tables contain formulae that will be provided on the final exam only if they are required for one of the questions on the exam.
Linear regression | ||
---|---|---|
Without intercept | $y=ax$ with $a=\frac{\sum_{i=0}^nx_iy_i}{\sum_{i=0}^nx_i^2}$ | |
With intercept | $y=ax+b$ with | |
$b=\bar{y}-a\bar{x}$ and $a=\frac{P_{avg}-\bar{x}\bar{y}}{x_{avg}^2-\bar{x}^2}$, | ||
where $\bar{x}=\frac{1}{n}\sum_{i=0}^n x_i$, $\bar{y}=\frac{1}{n}\sum_{i=0}^n y_i$, | ||
$P_{avg}=\frac{1}{n}\sum_{i=0}^n x_iy_i$, $x_{avg}^2=\frac{1}{n}\sum_{i=0}^n x_i^2$. |
Trig identities |
---|
$a^2=b^2+c^2-2bc\cos(\theta)$ |
$\displaystyle \frac{a}{\sin(A)}=\frac{b}{\sin(B)}$ |
$ \sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$ |
$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ |
Special triangles trig values | ||
---|---|---|
$\theta$ | $\sin(\theta)$ | $\cos(\theta)$ |
$\dfrac{\pi}{6}$ | $\dfrac{1}{2}$ | $\dfrac{\sqrt{3}}{2}$ |
$\dfrac{\pi}{4}$ | $\dfrac{\sqrt{2}}{2}$ | $\dfrac{\sqrt{2}}{2}$ |
$\dfrac{\pi}{3}$ | $\dfrac{\sqrt{3}}{2}$ | $\dfrac{1}{2}$ |
Geometric formulae (volume, area) | ||
---|---|---|
Quantity | Formula | |
Volume of sphere | $\dfrac{4}{3} \pi r^3$ | |
Surface area of sphere | $4\pi r^2$ | |
Volume of cone | $\dfrac{1}{3} \pi r^2h$ | |
Surface area of cone | $\pi r s$ | |