# Math 402 - Course Syllabus

**Prerequisites: ** The official prerequisite for this course is **Math 401 (Calculus II)** with a grade of C or better.

**Textbook: *** Calculus - Early Transcendental and MyMathLab (2nd edition), by Briggs and Cochran*, is available in bookstore.

**All of your homework assignments will be completed in MyMathLab**. The textbook will be useful for examples and explanations of the material covered.

**Computer:**Computer assignments will be made and may be completed either in the LRC or at home (providing your computer has the following specs and software).

WINDOWS |
MAC |

Windows 7/8 Firefox, Chrome |
Mac OS 10.8/10.7 (Lion) or 10.6. (Snow Leopard) Firefox, Safari, Chrome |

Refer to MyMathLab website for additional free/required plug-ins. |

**Material to be Covered**: Chapters 11 - 14

This course is a continuation of MATH 401. It extends the concepts of limits, derivatives, and integrals to vector-valued functions and multi-variable functions. The topics include: multi-variable functions, partial derivatives, extrema of multi-variable functions, iterated integrals, development of vector calculus, line integrals, three dimensional analytic geometry, and Green's, Gauss' (Divergence), and Stokes' Theorems. Many applications of calculus are also covered.

**Learning Outcomes and Objectives**

Upon completion of this course, the student will be able to:

· analyze and graph two and three dimensional functions, vectors, vector-valued functions, and geometric surfaces and solids in order to solve for various geometric quantities and to represent motion in space.

· perform vector operations: addition, subtraction, scalar multiplication, dot products, and cross products.

· determine the equations of lines and planes in space, including tangent planes to a surface.

· find the limit of a multivariate function at a point and determine the differentiability of a multivariate function.

· evaluate partial derivatives and apply them to find local extrema and test for saddle points of multivariate functions.

· apply Lagrange multipliers to solve optimization problems with constraints.

· compute the arc length of a curve.

· set up and evaluate iterated integrals in rectangular, cylindrical, and spherical coordinates to calculate the area, volume, mass, and center of mass for a surface or solid.

· find the gradient of a scalar field and the divergence and curl of a vector field.

· set up and evaluate line and surface integrals using Green's, Gauss', and Stokes' Theorems and use results to solve application problems involving vector fields.

**Scientific Calculator:** **A scientific calculator is required** and will be needed as soon as possible. A graphing programmable calculator, such as a TI 83/84, is recommended (but more expensive). Due to advancements with calculator technology regarding computer algebra systemsalong with file storage and cell phone apps that feature symbolic algebra capabilities, **this technology** (such as TI 89 or TI Inspire, or any cell/smart phone) **will NOT be permitted on chapter exams or final exam**. However, you may choose to use such calculators/apps on HW and in-class quizzes. If you go this route, I encourage you to also practice concepts/problems without this technology in preparation for all exams.

**Determination of Your Grade:** Your grade in this class will be based on your scores on the exams, quizzes/homework, and final. The total points possible are the following...

4 Exams (100 points each) | 65% of grade |

In (and Out) Quizzes - some collaborative, but always w/notes | 5% of grade |

Online Homework(MyMathLab) | 10% of grade |

Comprehensive Final Exam | 20% of grade |

For grading purposes, your lowest 100 point exam may be replaced with your final exam percent score (if higher) - thus, no late make-ups are permitted. Since I do provide several opportunities for "bonus" quizzes/MML HW there will also be no make-ups on quizzes or homework.

Grading will be by percentage...

89.5 - 100% = A | 69.5 - 79.4% = C |

79.5 - 89.4% = B |
59.5 - 69.4 = D |

**Math 402 Course Syllabus (PDF format)** - available to print.**Math 402 INTRO Letter (PDF format)** - available to print.

**Math 402 FAQ (PDF format)** - available to print.**MyMathLab - Registration Instructions (PDF format)** - available to print.**Reality Check - Review of Math 400/401 Handout (PDF)** - available to print.