# 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. - 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.

#### 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**more like OSH.

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.

### 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.

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 |
---|

$a^2=b^2+c^2-2bc\cos(\theta)$ |

$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$ |

$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ |

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 | $\pi r s$ | |