Office: 307 LeConte

Office Hours: Mondays and Wednesdays 3:00pm-4:00pm; Fridays 10:00am-11:00am; and by appointment

Date(s) | Class Summary | Section(s) | Notes | Handout(s) |

Aug 20 | Functions | 1.1 | - | Syllabus |

Aug 23 - Sep 1 | Linear Functions, Rates of Change, Exponential and Logarithmic Functions | 1.2--1.6 | HW1; HW1 Solns; Q1; Q1 Solns | |

Sep 3 | Exponential Growth and Decay | 1.7 | - | |

Sep 8 | Shifting Techniques; Proportionality and Power Functions | 1.8, 1.9 | - | - |

Sep 10 | Instantaneous Rate of Change | 2.1 | - | - |

Sep 13 | The Derivative Function | 2.1, 2.2 | - | |

Sep 15 | The Derivative Function | 2.2 | - | |

Sep 17 | Interpretations of the derivative | 2.3 | - | |

Sep 20 | Test 1 Review: 1.1--1.9, 2.1, 2.2 | - | - | |

Sep 22 | Test 1: 1.1--1.9, 2.1, 2.2 | - | - | pdf; soln |

Sep 24 | The Second Derivative | 2.4 | - | |

Sep 27, Sep 29 | Marginal Cost and Revenue; Rules of Differentiation | 2.5, 3.1 | - | |

Oct 1 | Derivative Rules for Exponential and Logarithmic Functions | 3.2 | - | |

Oct 4 | The Chain Rule | 3.3 | - | |

Oct 6 | Product and Quotient Rules | 3.4 | - | |

Oct 8 | Local Maxima and Minima | 4.1 | - | |

Oct 11 | Global Maxima and Minima | 4.3 | - | |

Oct 13 | Inflection Points | 4.2 | - | |

Oct 15 | Fall Break | - | - | - |

Oct 18 | Test 2 Review: 2.3--2.5, 3.1--3.4, 4.1, 4.3 | - | - | |

Oct 20 | Test 2: 2.3--2.5, 3.1--3.4, 4.1, 4.3 | - | - | pdf; soln |

Oct 22 | Profit, Revenue, and Cost (Applications of Global Min/Max) | 4.4 | - | |

Oct 25 | Average Cost | 4.5 | - | |

Oct 27 | Distance and Accumulated Change | 5.1 | - | |

Oct 29 | The Definite Integral | 5.2 | - | |

Nov 1 | The Definite Integral as Area | 5.3 | - | |

Nov 3 | More on: The Definite Integral As Area | 5.3 | - | |

Nov 5 | More on: The Definite Integral As Area; Interpretations of the Definite Integral | 5.3, 5.4 | - | |

Nov 8 | Fundamental Theorem of Calculus, Antiderivatives | 5.5, 7.1 | - | |

Nov 10 | Finding Antiderivatives Analytically | 7.1 | Test 3 Outline | |

Nov 12 | Integration by Substitution; Quiz 9 in class | 7.2 | Quiz 9; solution | |

Nov 15 | Integration by Substitution; Using FTC to find Definite Integrals | 7.2, 7.3 | - | |

Nov 17 | Test 3 Review: 4.2, 4.4, 4.5, 5.1--5.5, 7.1--7.3 | - | - | |

Nov 19 | Test 3: 4.2, 4.4, 4.5, 5.1--5.5, 7.1--7.3 | - | - | Test 3; solution |

Nov 22 | Average Value of Functions | 6.1 | - | |

Nov 24 | Thanksgiving Break | - | - | - |

Nov 26 | Thanksgiving Break | - | - | - |

Nov 29 | Discuss Test 3; Average Value of Functions | 6.1 | - | |

Dec 1 | Final Review Session 1 | - | - | |

Dec 3 | Final Review Session 2 | - | - | |

Dec 10 | Section 011 (MWF 12:20pm-1:10pm) Final Exam, 9:00am-noon | - | - | - |

Dec 11 | Section 013 (MWF 1:25pm-2:15pm) Final Exam, 2:00pm-5:00pm | - | - | - |

milans@math.sc.edu