Syllabus

Calculus for Functions of Several Variables Fall 2017 MTH243

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time. Below the calendar is a list of sections in the textbook**"Calculus Multivariable 6th Ed", by William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason, David O. Lomen, David Lovelock. Wiley, ISBN:**0470888679 / 9780470888674 Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.)

Week | Events | Section | Suggested Practice Problems |

Sep. 7 | Functions of Two Variables: 12.1, 12.2 | 12.1 12.2 |
12.1:# 1--4,6,7,9, 10,11,13,18,20,21,24,28,35 12.2:# 2--5,7,8,9,11,12,13,15,16,17,23,24,26 |

Sep. 12 | Contour Diagrams: 12.3 Linear Functions: 12.4 Functions of Three Variables |
12.3 12.4 12.5 |
12.3:# 1,2,3-5,7,8,9,11,14,16,17,28 12.4:# 1--3,5,7-10,13,21,22,23 12.5:# 1--6,12,15 |

Sep 19 | Limits | 12.6 | 12.6: # 1 -- 20 |

Exam 1, September 26 | Chapter 12 review | ||

Sep. 27 | Chapter 13 | 13.1 13.2 13.3 |
13.1: # 1-3,5,6,7,9,11,15,17,21,25,27,28,30,31,32 13.2: # 6,7,9,10,11,13,15,17, 25 13.3: # 1,3,5,6,7,11,13,15,17,19,21,22,23,25,27,33,39,43,47 |

Sep 27 | The cross product 13.4 The partial derivatives 14.1 Computing derivatives 14.2 |
13.4 14.1 14.2 |
13.4: # 1,3,5,7,14,19,21,23 14.1: # 1,3,7,8,15,21 14.2: # 1-10,19,25,29,35,36,39 |

Oct. 4 | Exam 2 Oct 12 Chapter 14 |
14.3 14.4 |
14.3: # 2,3,5,11,13,17,21,22,25 14.4: # 1,5,7,9,15,19,23,25,27,33,36,37,51,66,74 |

Oct. 11 | Gradients 14.5 Chain rule 14.6 |
14.5 14.6 |
14.5: # 3,5,17,18,19,21,25,28,30,33,57,58,61 14.6: # 3,7,11,16,19,21,25 |

Exam 3 Nov 3 Chapter 14 | Review to chapter 14 | ||

Oct. 18 | Second order partial derivatives Local extrema: 15.1 Lagrange multipliers: 15.3 |
14.7 15.1 15.3 |
14.7: # 1,3,23,27,41 15.1: # 1,3,4,5,9,12,15,17,21,25,32,33 15.3: # 1--9 odd, 28 |

Review of Chapter 15 | Last day to drop the course: Oct. 19 | ||

Oct. 25 | Definite integral of a function Iterated integrals: 16.2 |
16.1 16.2 |
16.1: # 1,3,5,7,9,11,17,19,21,25 16.2: # 1-21odd,27-33odd,34,39,40,45,46 |

Exam 2, Oct 27 | |||

Nov. 1 | Chapter 16 | 16.3 16.4 16.5 |
16.3: # 1-4,5-13odd,15,19,21,23 16.4: # 1-5,7,11-20 16.5: # 2-5,14-18,22-24,28,29,30 |

Nov 7 | Exam 3 | ||

Nov 8 | Parametrized curves: 17.1 Motion, velocity, acceleration |
17.1 17.2 |
17.1: # 1,2,3,4,5,6,7,9,11,19,21,23,25,27,33,35,39,40 17.2: # 1,3,5,7,9,11,13,14,26,28 |

Nov. 19 | Vector fields | 17.3 | 17.3: # 1,3,13,15,19,21,27,31,34,45,47,51,57 |

Nov 22 | Test 4 | Review (check your understanding for chapter 15) | |

Nov. 24 | Thanksgiving Recess | ||

Nov 29 | Line integrals: 18.1 Computing integrals: 18.2 |
18.1 18.2 |
18.1: # 1,2,3,4,5,7,8,9,11,27 18.2: # 1,2,3,4,5,7,8,12,14,16,22,33 |

Dec. 6 | Gradient fields: 18.3 Path-dependent vector fields |
18.3 18.4 |
18.3: # 1,3,13,14,17,19,24,31,32 18.4: # 1,2,3,5,6,11,12,13,14,15 |

Dec. 12 | Classes end | ||

Mathematica project due | |||

FINAL EXAM | December 14, 8:00am |