**Course Description:** Multivariable calculus: algebra and geometry
of vectors, partial differentiation, multiple integration, change of
coordinates, gradient, optimization, line integrals, Green's theorem,
elements of vector calculus.

**Prerequisite:** MAT 193 or equivalent with a grade of "C"
or better.

** Time & Place:**

- Tu, Th 11:30--12:55 (SCC 1304)
- F 10:00--11:25 (SBS G126)

**Textbook:** Vector Calculus, by Michael Corral, available online
at this link.

**Reference:** Essential Calculus, by James Stewart,
Brooks/Cole 2007.

**Calculator:**

- Symbolic calculators, such as TI-89 or TI-92 are not allowed for this course.
- Geogebra is a java-based software for mathematics. It also available for Windows, iOS and Linux. Check out its apps as well.
- Sage Cell server is an online application for running Sage codes and more.

**Assignment:** Exercises will be assigned via Webwork.

**Online Resources:** Here are some useful links:

- The Calculus Page contains a lot of information about learning Calculus.
- Visual Calculus
- You may find Kenny's explanation useful.
- An interactive online course for Calulus from the University of Southern Mississippi
- A Calculus tutorial using SAGE.
- Here are more links for many different areas of Math.

**Tentative Schedule**

01-24 | Vector Algebra | 01-26 | Matrix Operations | 01-27 | Dot Product |
---|---|---|---|---|---|

01-31 | Cross Product | 02-02 | Lines and Planes | 02-03 | Lines and Planes |

02-07 | Surfaces | 02-09 | Curvilinear Coordinates | 02-10 | Vector-Valued Functions |

02-14 | Arc Length | 02-16 | Arc Length | 02-17 | Review |

02-21 | Test 1 | 02-23 | Function of Several Variables | 02-24 | Partial Derivatives |

02-08 | Tangent Planes | 03-02 | The Chain Rule | 03-03 | Directional Derivatives and Gradient |

03-07 | Directional Derivatives and Gradient | 03-09 | Max and Min | 03-10 | Max and Min |

03-14 | Lagrange Multipliers | 03-16 | Lagrange Multipliers | 03-17 | Review |

03-21 | Test 2 | 03-23 | Double Integrals | 03-24 | Double Integrals Over a General Region |

03-28 | Spring Break | 03-30 | Spring Break | 03-31 | Spring Break |

04-04 | Triple Integrals | 04-06 | Triple Integrals | 04-07 | Change of Variables |

04-11 | Line Integrals | 04-13 | Line Integrals | 04-14 | Green's Theorem |

04-18 | Green's Theorem | 04-20 | Surface Integrals and the Divergence Theorem | 04-21 | Surface Integrals and the Divergence Theorem |

04-25 | Surface Integrals and the Divergence Theorem | 04-27 | Review | 04-28 | Test 3 |

05-02 | Stokes' Theorem | 05-04 | Stokes' Theorem | 05-05 | Stokes' Theorem |

05-09 | Review | 05-11 | Review | 05-12 | Review |

**Final Exam** 05-18 11:30--1:30 (SCC 1304)

**Grading Scheme and course requirements** HW (5 points
extra credit), Tests (25 points each), Final (25 points + 5 points
extra-credit)

A | A- | B+ | B | B- |

100-93 | 92-89 | 88-84 | 83-79 | 78-74 |

C+ | C | C- | D+ | D |

73-69 | 68-64 | 63-59 | 58-54 | 53-50 |

**Expected outcomes** Please refer to the departmental syllabus.

**Policies**
For policies on academic integrity, accommodation for students
with disabilities, due dates and make-up work and various other
topics, please consult this page.