**Class:**
MWF 9:00-10:15, MG 113

**Instructor:** Dr. Zach Teitler

**Office:** MG 233A

**Phone:** 208-426-1086

**E-mail:** zteitler@boisestate.edu

**Office hours:** MW 10:30-11:50 (subject to change) and by appointment

**Important dates:**

- Mon, Aug 26: Start of term, first day of class
- Mon, Sept 2: Labor Day Holiday (no classes, university offices closed)
- Fri, Oct 4: Last day to drop classes with a W
- Mon-Sun, Nov 25--29: Thanksgiving Holiday (no classes, university offices closed)
- Fri, Dec 13: Last day of class

**Textbook:**
*Calculus: Early Transcendentals, Multivariable*, 2nd ed., 2010, by Jon Rogawski.

This text is available for sale in the campus bookstore.
An electronic edition is also available for sale online.
Only the "Multivariable" chapters are required for this course.
The earlier chapters are optional to purchase.

**Weekly schedule:**

Dates | Topics (planned) | What we actually did | ||
---|---|---|---|---|

Week 1 |
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Aug 26 | Hello, Vectors in the plane (§12.1) | slides | slides+notes | Hello, clickers, vectors |

Aug 28 | Vectors in space (§12.2) | Vectors, 3D coordinate systems | ||

Aug 30 | Dot product, angle (§12.3) | slides | slides+notes | Lines, dot product |

Week 2 |
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Sept 2 | Labor Day |
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Sept 4 | Cross product (§12.4) | slides | slides+notes | Dot product, projection and orthogonal decomposition |

Sept 6 | Planes (§12.5) | slides | slides+notes | Cross product; started planes |

Week 3 |
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Sept 9 | Quadric surfaces (§12.6) | slides | slides+notes | Planes |

Sept 11 | Spherical, cylindrical coordinates (§12.7) | slides | slides+notes | Quadric surfaces |

Sept 13 | Vector-valued functions (§13.1) | slides | slides+notes | Cylindrical coordinates |

Week 4 |
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Sept 16 | Calculus of vector-valued functions (§13.2) | slides | slides+notes | Spherical coordinates, vector-valued functions |

Sept 18 | Arc length, speed (§13.3) | slides | slides+notes | finish vector-valued functions |

Sept 20 | Curvature (§13.4) | slides | slides+notes | calculus of vector-valued functions |

Week 5 |
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Sept 23 | Motion in three-space (§13.5) | slides | slides+notes | arc length and speed, start curvature |

Sept 25 | Planetary motion (§13.6) and review | curvature | ||

Sept 27 | Exam 1: 12.1-13.3 |
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Week 6 |
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Sept 30 | Functions of two or more variables (§14.1) | slides | slides+notes | motion in three-space |

Oct 2 | Partial derivatives (§14.3) | slides | slides+notes | functions of two or more variables |

Oct 4 | Tangent planes (§14.4) | slides | slides+notes | started partial derivatives |

Week 7 |
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Oct 7 | Gradient, Directional derivatives (§14.5) | slides | slides+notes | finished partial derivatives |

Oct 9 | Chain rule (§14.6) | slides | slides+notes | tangent planes and linearization |

Oct 11 | Optimization (§14.7) | slides | slides+notes | gradient, directional derivatives |

Week 8 |
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Oct 14 | Lagrange multipliers (§14.8) | slides | slides+notes | finished gradient, directional derivatives |

Oct 16 | Integration in two variables (§15.1) | slides | slides+notes | chain rule |

Oct 18 | More general regions (§15.2) | slides | slides+notes | optimization |

Week 9 |
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Oct 21 | Triple integrals (§15.3) | slides | slides+notes | lagrange multipliers |

Oct 23 | Polar, cylindrical, spherical integrals (§15.4) and review | slides | slides+notes | lagrange multipliers, review |

Oct 25 | Exam 2: 13.4-14.7 |
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Week 10 |
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Oct 28 | Applications (§15.4-5) | slides | slides+notes | integration in two variables |

Oct 30 | Change of variables (§15.6) | slides | slides+notes | more general regions |

Nov 1 | Vector fields (§16.1) | slides | slides+notes | finished more general regions, started triple integrals |

Week 11 |
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Nov 4 | Scalar line integrals (§16.2) | slides | slides+notes | finished triple integrals, started polar/cylindrical/spherical coordinates |

Nov 6 | Vector line integrals (§16.2) | slides | slides+notes | finished polar/cylindrical/spherical coordinates |

Nov 8 | Conservative vector fields (§16.3) | slides | slides+notes | applications of integration |

Week 12 |
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Nov 11 | Conservative vector fields (§16.3) | applications of integration, change of variables | ||

Nov 13 | Parametrized surfaces (§16.4) | slides | slides+notes | change of variables, vector fields |

Nov 15 | Surface integrals of vector fields (§16.5) | slides | slides+notes | scalar line integrals; started vector line integrals |

Week 13 |
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Nov 18 | Surface integrals of vector fields (§16.5) | finished vector line integrals; started conservative vector fields | ||

Nov 20 | Review | conservative vector fields | ||

Nov 22 | Exam 3: 14.8-16.2 |
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Week 14 |
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Dec 2 | Green's theorem (§17.1) | slides | slides+notes | parametrized surfaces and scalar surface integrals |

Dec 4 | Green's theorem (§17.1) | finished scalar surface integrals, started surface integrals of vector fields | ||

Dec 6 | Stokes' theorem (§17.2) | slides | slides+notes | finished surface integrals, started Green's theorem |

Week 15 |
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Dec 9 | Stokes' theorem (§17.2) | finished Green's theorem, started Stokes's theorem | ||

Dec 11 | Divergence theorem | slides | slides+notes | finished Stokes's theorem |

Dec 13 | Review | divergence theorem |

**Written Homework:**

- Formatting Instructions for written homework (click to show/hide)
- Grading Information (click to show/hide)

Assigned date | Assignment | Assigned problems | Due date |
---|---|---|---|

Wed, 11/4/13 | 11 |
§ 15.6 # 17, 31, 45 [challenge: 49-51] § 16.2 # 28, 36, 52 |
Wed, 11/20/13 |

Wed, 11/4/13 | 12 |
§ 16.2 # 58, 68 § 16.3 # 14, 22 § 16.4 # 20, 40 |
Wed, 12/4/13 |

Wed, 11/4/13 | 13 |
§ 16.5 # 12, 15, 23 § 17.1 # 17, 19 |
Wed, 12/11/13 |

Assigned date | Assignment | Assigned problems | Due date |
---|---|---|---|

Mon, 10/7/13 | 6 |
§ 13.4 # 73 § 13.5 # 48, 51 (explanation must include sentences) § 14.1 # 49 § 14.3 # 79, 80, 82 |
Wed, 10/16/13 |

Wed, 10/16/13 | 7 |
§ 14.3 # 83 § 14.4 # 37 § 14.5 # 41, 66 [challenge: 71-72] § 14.6 # 21, 37 |
Wed, 10/23/13 |

Wed, 10/23/13 | 8 |
§ 14.6 # 38, 40, 43, 44 § 14.7 # 44, 48 |
Wed, 10/30/13 |

Wed, 10/30/13 | 9 |
[challenge: § 14.7 # 54] § 14.8 # 25, 33, 40 [challenge: # 49] read § 14.8 # 52 (do not solve, just read) § 15.1 # 48 § 15.2 # 36, 48, 64 |
Wed, 11/6/13 |

Wed, 10/30/13 | 10 |
§ 15.3 # 18, 26, 34 § 15.4 # 53, 56 § 15.5 # 20, 50 |
Wed, 11/13/13 |

**Online Homework:**

- Homework assignments will be done online via WebAssign.
- Instructions for WebAssign (click to show/hide)

**Clickers:**
We will be using "clickers".
See http://at.boisestate.edu/clickers/ for more information.

- To register your clicker, log onto the class site on BlackBoard. Go to "Tools > TurningPoint Registration Tool" and enter your device ID as prompted.
- If you prefer to use a mobile device instead of a clicker, you can buy a ResponseWare license either at the BSU Bookstore or online here.
*The school code is*More information about using mobile devices can be found here. A warning: due to the wireless capabilities in the BSU classrooms, ResponseWare (the platform that enables mobile devices to be used as clickers) can be unreliable. If you choose to use a mobile device instead of a clicker, you do so at your own risk.**Xuj4**.

**Selected resources:**

- Shari Ultman's web page for Math 275, Spring 2012
- Donna Calhoun's web page for Math 275, Spring 2012
- Assumed Prior Knowledge

- Some of my review sheets from Calculus 1
- Tons of material at calculus.org
- Paul's Online Math Notes
- Calculus for Biology: lots of amazing examples, explanations, and animations: Calculus 1 and Calculus 2
- PurpleMath: Algebra review

- Self-help info sheets
- Jean Marie Linhart's great Success at Math page
- PurpleMath's Homework Guidelines (be sure to view the examples of acceptable and unacceptable solutions) and Math Study Skills Self-Survey
- When Will I Use Math?
- Math anxiety: some good advice from Math.com and a longer article with more explanations from Math Academy. See also Jean Marie Linhart's page, above, for more links.

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