## Lectures

Monday and Wednesday 6:25PM-7:40PM MM 205.Thursdays 6:25PM-7:40PM MM 202

## Literature

*Essential Calculus.*James Stewart.

## Course Contents

Limits and continuity, derivatives and applications, the definite integral and applications.Chapters 1,2,3,4 and 7 from Stewart's book.

## Examination and Grading

### Tests (50%)

There will be 4 tests. These will be given on Thursdays and will be announced at least one week in advance. The test with lower score will be dropped and the other three remaining will be worth 50% towards the final grade. There will be no make-up tests.### Final (30%)

There will be a comprehensive final to be worth 30%.### Homework and Quizzes (20%)

There will be homework to be handed in every week. The homework will be assigned and completed in WebAssign (http://www.webassign.net/) . The homework posted during each week will be due the Friday of the following week. An accesscode for WebAssign is bundled with the new textbook purchased through the UM Bookstore. To get enrolled in the course in WebAssign you should use the class key:**miami 6109 7970**

There may also be some additional homework problems without any due date but that you should complete in order to train the concepts given in class. Some of these problems could appear in the quizzes, tests and the final. These problems will be assigned after some of the classes and also posted in the web page of the course.

There will be (unannounced) quizzes on some Wednesdays.

Homework and quizzes are equally weighted for the remaining 20% of the grade.

### Grading Scale

Percentage | Grade |
---|---|

>=90% | A |

>=80% | B |

>=70% | C |

>=60% | D |

<60% | F |

## Syllabus

This is an approximate schedule of the course containing the syllabus:Date | Topic |
---|---|

Wed 8/24 | Introduction. 1.1 Functions and their representations |

Thu 8/25 | 1.2 Especial Functions |

Mon 8/29 | 1.3 The limit of a function |

Wed 8/31 | 1.4 Calculating limits |

Thu 9/01 | 1.4 Calculating limits |

Wed 9/07 | 1.5 Continuity |

Thu 9/08 | 1.6 Limits involving infinity |

Mon 9/12 | 2.1 Derivatives and rates of change |

Wed 9/14 | 2.2 The derivative as a function |

Thu 9/15 | 2.2 The derivative as a function |

Mon 9/19 | 2.3 Basic differentiation formulas |

Wed 9/21 | 2.4 The product and quotients rules |

Thu 9/22 | TEST 1 |

Mon 9/26 | 2.5 The chain rule |

Wed 9/28 | 2.6 Implicit differentiation |

Thu 9/29 | 2.7 Related rates |

Mon 10/03 | 2.8 Linear approximations and differentials |

Wed 10/05 | 3.1 Maximum and minimum values |

Thu 10/06 | 3.1 Maximum and minimum values |

Mon 10/10 | 3.2 The mean value theorem |

Wed 10/12 | 3.3 Derivatives and the shapes of graphs |

Thu 10/13 | 3.3 Derivatives and the shapes of graphs |

Mon 10/17 | 3.4 Curve sketching |

Wed 10/19 | 3.4 Curve sketching |

Thu 10/20 | TEST 2 |

Mon 10/24 | 3.5 Optimization problems |

Wed 10/26 | 3.5 Optimization problems |

Thu 10/27 | 3.7 Antiderivatives |

Mon 10/31 | 3.7 Antiderivatives |

Wed 11/02 | 4.1 Areas and distances |

Thu 11/03 | 4.2 The definite integral |

Mon 11/07 | 4.3 Evaluating definite integrals |

Wed 11/09 | 4.4 The fundamental theorem of calculus |

Thu 11/10 | TEST 3 |

Mon 11/14 | 4.4 The fundamental theorem of calculus |

Wed 11/16 | 4.5 The substitution rule |

Thu 11/17 | 4.5 The substitution rule |

Mon 11/21 | 7.1 Areas between curves |

Wed 11/23 | 7.2 Volumes |

Mon 11/28 | 7.2 Volumes |

Wed 11/30 | 7.3 Volumes by cylindrical shells |

Thu 12/01 | TEST 4 |