# Department of Mathematical and Computer Sciences

## Khan Academy MTH 1320

### This website shows Khan Academy links for most topics in MTH 1320.

Just click on the chapter you want in the menu below.

You will see some links to Khan Academy videos for topics in each section for the chapter.

##### TRY THEM OUT!

Khan Academy organizes videos in a string that you will see on the left of the Khan Academy page. Click through the videos and practice problems in the string for more examples on the topic you have selected.

Topic | Videos | Practice Problems |
---|---|---|

Limits (Using graphs) | Intro to limits | |

One-Sided Limits | One-sided limits from graphs | One-sided limits from graphs practice |

Limits (Using functions) | Limit example | Two-sided limits using Algebra |

Limit properties | Limit properties | |

0/0 Indeterminate Form | Limit by factoring | Limits 2 |

a/0 Indeterminate Form | ||

Limits of peicewise-defined functions |

Topic | Videos | Practice Problems |
---|---|---|

Continuous functions | Limits to define continuity | |

Discontinuous functions | Point of discontinuity | |

Limits at Infinity | Limits at infinity | |

Horizontal Asymptotes | Limits at positive and negative infinity |

Topic | Videos | Practice Problems |
---|---|---|

Average rate of change | Slope of secant lines | |

Derivative | The derivative example | |

Instantaneous rate of change | ||

Marginal revenue | ||

Slope of the tangent | Derivative intuition | Derivative intuition practice |

Equation of the tangent line | Find a linear equation given a point and slope | |

Approximations of the derivative | Approximating instantaneous rate of change |

Topic | Videos | Practice Problems |
---|---|---|

Powers of x rule | Power rule | Power rule practice |

Derivative of a constant | Derivative properties | |

Coefficient rule | Derivative properties | |

Sum and difference rules | Derivative properties and polynomial derivatives | Derivative properties and polynoial derivatives practice |

Horizontal tangents | Graphs of functions and their derivatives practice |

Topic | Videos | Practice Problems |
---|---|---|

Product rule | ||

Quotient rule | Quotient rule practice |

Topic | Videos | Practice Problems |
---|---|---|

Composite functions | Creating a new function from composition | |

Chain rule | Chain rule definition and example |

Topic | Videos | Practice Problems |
---|---|---|

Second derivative | ||

Rate of change of a derivative |

Topic | Videos | Practice Problems |
---|---|---|

Marginal revenue | ||

Marginal Cost | ||

Marginal profit |

Topic | Videos | Practice Problems |
---|---|---|

Relative maxima and minima | Relative maxima and minima | Extreme values from graphs |

Increasing and decreasing functions | ||

Finding relative maxima and minima | Identifying maxima and minima | |

maxima, minima, and horizontal points of inflection |

Topic | Videos | Practice Problems |
---|---|---|

Concave up and concave down | ||

Point of Inflection | Inflection points |

Topic | Videos | Practice Problems |
---|---|---|

Absolute maximum and minimum | Applying extreme value theorem | Extreme value theorem |

Maximizing revenue and profit | Optimizing profit | |

Minimizing cost | Minimizing the cost of a storage container | |

Average cost |

Topic | Videos | Practice Problems |
---|---|---|

Derivatives involving ln(x) | Special derivatives | |

Derivatives of y=ln(u) | ||

Derivatives using log properties | Derivatives using log properties |

Topic | Videos | Practice Problems |
---|---|---|

Derivative of an exponential function | Special derivatives | |

Derivative of e^u |

Topic | Videos | Practice Problems |
---|---|---|

Antidifferentiation | Antiderivatives and indefinite integrals | |

Powers of x |

Topic | Videos | Practice Problems |
---|---|---|

Differentials | U-substitution | |

Power rule for integration (U-sunstitution) |

Topic | Videos | Practice Problems |
---|---|---|

Integral of an exponential | U-substitution | |

Graphs of functions and integrals | Visually determining antiderivative | Graphs of antiderivatives |

Integral resulting in a logarithmic function |

Topic | Videos | Practice Problems |
---|---|---|

Total cost | ||

Maximum profit | ||

Cost, revenue, and profit | ||

Finding the constant of integration | Velocity and position from acceleration | |

National consumption and savings |

Topic | Videos | Practice Problems |
---|---|---|

Area under a curve | Simple Riemann approximation using rectangles |

Topic | Videos | Practice Problems |
---|---|---|

Definite integral definition | Riemann sums and integrals | |

Fundamental Theorem of Calculus | ||

Definite integrals | Examples leveraging integration properties | |

Properties of definite integrals | Properties of integrals | |

Area under a curve |

Topic | Videos | Practice Problems |
---|---|---|

Area between two curves | Area between curves | |

Area enclosed by two curves | Area between curves with multiple boundaries | |

Average value |

Topic | Videos | Practice Problems |
---|---|---|

Consumer's surplus | Total consumer surplus as area | |

Producer's surplus | Producer surplus |

Topic | Videos | Practice Problems |
---|---|---|

Domain | ||

Function values | Example: evaluating expressions with two variables |

Topic | Videos | Practice Problems |
---|---|---|

Partial Derivatives | Partial derivatives | |

Partial derivative at a point |

Topic | Videos | Practice Problems |
---|---|---|

Joint cost | ||

Marginal demand functions |

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