Syllabus

Schedule

Proof of Basic Differentiation Rules

Proof of Differentiation Trigonometric Functions

Review Test 1

Review Test 2

Review Test 3

Objectives

Find the limit of a function using limit theorems. |
ME 1 |
PE 1 |

Compute left and right hand limits |
ME 2 |
PE 2 |

Calculate limits involving infinity |
ME 3 |
PE 3 |

Find intervals upon which a function is continuous |
ME 4 |
PE 4 |

Compute limits involving trigonometric functions |
ME 5 |
PE 5 |

Find the slope of a tangent line using the limit definition of the derivative. |
ME 6 |
PE 6 |

Determine where a given function is not continuous, not differentiable, or both |
ME 7 |
PE 7 |

Use the product and quotient rules to find a derivative |
ME 8 |
PE 8 |

Apply the chain rule to find a derivative |
ME 9 |
PE 9 |

Find the derivative of a function implicitly |
ME 10 |
PE 10 |

Use implicit differentiation to solve related rates problems. |
ME 11 |
PE 11 |

Use the derivative to locate and classify local extrema |
ME 12 |
PE 12 |

Use the second derivative to determine concavity |
ME 13 |
PE 13 |

Find the antiderivative of a function |
ME 14 |
PE 14 |

Use the Fundamental Theorem of Calculus to compute a definite integral |
ME 15 |
PE 15 |

Use the substitution method of compute a definite integral |
ME 16 |
PE 16 |

Compute the area between two curves |
ME 17 |
PE 17 |
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Graphing Calculator Tutorials

Limit |

One -side Limits |

Limits at Infinity |

Infinite Limits |

Derivative |

Tangent Lines |

Graph of a Function |

Definite Integral |

Area |

Math 2413 Ioana Agut Syllabus.pdf