Each exam will have a formula sheet that will aid students during the exams. Copies of the formula sheets are available here for students to reference while studying.

When selecting problems to put on exams the writers will first use the WeBWorK homework problems as guides. Students
should expect a **decent number** of problems on the exams to have similar wording or structure as the problems on WeBWorK.
It is therefore recommended in addition to practice exams and other study techniques students also review the WeBWorK homework
and are able to complete these problems in a timely manner. **Note:** this does **NOT**
guarantee that all or even most problems on the exam will be WeBWorK problems.

One of the undergraduate learning goals at Michigan State University is to develop analytical thinking by synthesizing and applying course content. Each exam will have a page (near the end) of more challenging problems (typically 1 or 2) to accomplish this goal. To prepare for these type of problems it is recommended that students study the concepts in detail rather than repeating specific types of problems. These challenging problems are meant to assess your ability to make connections between concepts and synthesize core ideas.

These are the guidelines that the exam writers are given: The exam is 90 minutes long and will cover the following sections

Exam | Date | Sections Covered |
---|---|---|

Exam 1 | Monday October 8th | 12.1 - 14.5 |

Exam 2 | Monday November 19th | 14.6 - 16.6 |

The exam is out of 100 points maximum and will typically have the following breakdown in terms of types of questions:

Type | Quantity | Points |
---|---|---|

Multiple Choice | 9 Questions | 4 Points/Problem |

Standard Response | 4 Pages | 14 Points/Page |

More Challenging Problem(s) | 1 Page | 14 Points |

TOTAL | 106 |

Note that despite there being 106 points in total the maximum score is 100 points. Any points over 100 will be discarded.

- Linearization/Tangent Plane
- 12.5 Type problems. Including both dot and cross product
- Domain/Range/Level curves
- Limits
- Parametrization
- Derivatives and integrals of vector functions
- Chain rule

- Some of these other topics are less likely to appear as standard response questions but may show up as multiple choice questions.

- Maximum and minimum values
- Multiple Integrals
- Rectangular Double or Triple
- Polar/Cylindrical
- Spherical
- Line integrals
- Scalar functions
- Vector fields
- Green's theorem
- Fundamental Theorem of Line Integrals
- Surface Area
- Parametric surface
- Explicit surface

- Some of these other topics are less likely to appear as standard response questions but may show up as multiple choice questions.

These are the guidelines that the exam writers are given: The final exam is 120 minutes long and will cover everything!

Exam | Date | Sections Covered |
---|---|---|

Final Exam | Monday, December 10th | ALL |

Type | Quantity | Points |
---|---|---|

Multiple Choice | 12 Questions | 3 Points/Problem |

Standard Response | 5 Pages | 12 Points/Page |

More Challenging Problem(s) | 1 Page | 12 Points |

TOTAL | 108 |

Note that despite there being 108 points in total the maximum score is 100 points. Any points over 100 will be discarded.

- Surface area or surface integral
- Parametric surface
- Explicit surface
- Divergence Theorem
- Stokes' Theorem
- Maximum and minimum values
- Line integrals
- Scalar functions
- Vector fields
- Green's theorem
- Limits
- Parametrization
- Derivatives and integrals of vector functions
- Chain rule
- Linearization/Tangent Plane
- 12.5 Type problem. May include both dot and cross product
- Domain/Range/Level curves
- Integrals
- Rectangular Double or Triple
- Polar/Cylindrical
- Spherical
- Fundamental Theorem of Line Integrals

- Some of these other topics are less likely to appear as standard response questions but may show up as multiple choice questions.

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