Final exam information
From UBCMATH WIKI
Contents |
Final exam date and time
The final exam will be held on Dec. 11 from 3:30-6 pm.
What will the exam look like?
Content
- The material covered by the final exam includes material from Chapters 1-12 of LK notes and the corresponding chapters of PD 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 midterm. For additional problems, look at the back of each chapter of LK notes and the review problem set on WeBWorK.
Format
The midterm will consist of a number of multiple choice questions, some short answer problems (show work, enter answer in a box) and three longer questions more like OSH. Here is a skeleton midterm with no content, just format. The actual midterm might differ in the details but will look roughly like this.
Final exam room assignments
Section | Building and room # |
---|---|
101 | OSBO A |
102 | OSBO A |
103 | OSBO A |
104 | HEBB 100 |
105 | HEBB 100 |
106 | OSBO A |
Exam formulae list
The following tables contain formulae that will be provided on the final exam should they be required.
Trig identity |
---|
$a^2=b^2+c^2-2bc\cos(\theta)$ |
$\sin^2\theta +\cos^2\theta=1$ |
$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$ |
$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ |
$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$ |
Special triangles | ||
---|---|---|
$\theta$ | $\sin(\theta)$ | $\cos(\theta)$ |
0 | 0 | 1 |
$\dfrac{\pi}{6}$ | $\dfrac{1}{2}$ | $\dfrac{\sqrt{3}}{2}$ |
$\dfrac{\pi}{4}$ | $\dfrac{\sqrt{2}}{2}$ | $\dfrac{\sqrt{2}}{2}$ |
$\dfrac{\pi}{3}$ | $\dfrac{\sqrt{3}}{2}$ | $\dfrac{1}{2}$ |
$\dfrac{\pi}{2}$ | 1 | 0 |
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 | $\pi r s$ | |