# Department of Mathematical and Computer Sciences

## Khan Academy MTH 1112

### This website shows Khan Academy links for most topics in MTH 1112.

First find the chapter you want in the menu below.

Scroll down through each section to see some links to Khan Academy videos and practice problems for topics in this section.

**TRY THEM OUT!**

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

Average | Stats Intro: mean, median, and mode | Calculating the mean |

Median | Finding mean, median, and mode | Calculating the median |

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

Relations | Relations and Functions | |

Domain and Range of a Relation | Domain and range of a relation | |

Graphing Two-Variable Data | Coordinate plane: graphing points | Graphing points |

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

Making a Linear Model from Data | Determining a linear relationship | |

First Differences | Recognizing linear functions | |

Getting Information from a Linear Model | Application problem |

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

Function Definition |
What is a function? | |

Independent and Dependent Variables | Dependent and independent variables | Dependent and independent variables practice |

Deciding whether an equation defines a function | Difference between equations and functions | |

Vertical Line Test | ||

Four Ways to Represent a Function |

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

Function Notation | Understanding function notation | Functions |

Evaluating Functions | Evaluating with function notation | Function notation practice |

Domain of a Function | Domain and range of a function given a formula | Domain of a function |

Piecewise defined functions | Finding a piecewise function definition from a graph | Graphing piecewise functions |

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

Graphs of Basic Functions | ||

Graphing with a graphing calculator | ||

Graphing piecewise defined functions | Finding a piecewise function definition from a graph | Graphing piecewise functions |

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

Average rate of change of a function | Average rate of change | |

Average speed of a moving object |

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

Identifying linear functions | ||

Graphing a linear function | Graphs of linear functions | |

Linear functions and rate of change | Recognizing linear functions | |

Linear functions and slope | Slope of a line | Slope of a line practice |

Finding linear functions from a graph | Constructing equations from graphs |

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

Slope-intercept form | Linear equation from a slope and a point | |

Point-slope form | Linear equations in point-slope form | Point-slope form |

Finding the equation of a line | Solving for the y-intercept | |

Horizontal and vertical lines | Slope of a line 3 |

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

Parallel lines | Parallel line equation | |

Perpendicular lines | Perpendicular line slope | |

Modeling direct proportionality | Direct variation |

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

The line that best fits the data | Fitting a line to data (in excel) | |

Using the line of best fit for prediction | ||

The correlation coefficient |

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

Getting information from a linear model | Constructing linear equations to solve word problems | |

Models that lead to linear equations |

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

Intersection points of linear functions | Graphing sstems of equations | |

Modeling supply and demand |

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

The growth factor | Exponential growth and decay word problems | Rewriting and interpreting exponential functions |

The growth rate | Decay example |

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

Changing the time period | ||

Compound interest | Introduction to compound interest |

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

Percentage rate of change | ||

Linear growth versus exponential growth | Understanding linear and exponential models | Understanding linear and exponential models practice |

Logistic growth: growth with limited resources |

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

Graphing exponential functions | Graphing exponential functions | |

The effect of varying a or c | ||

Fitting an exponential function from a graph | Constructing linear and exponential functions from a graph |

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

Fnding exponential models for data | Constructing linear and exponential models from data | Constructing linear and exponential functions |

Is an exponential model appropriate? |

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

Logarithms base 10 | ||

Logarithms base a | ||

Basic properties of logarithms | Introduction to logarithm properties | |

Logarithmic functions and their graphs | Graphing logarithmic functions | Graphs of exponentials and logarithms |

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

Laws of logarithms | Logarithm of a power | Logarithms |

Expanding and combining logarithmic expressions |
Using multiple logarithm properties to simplify | |

Change of base formula | Change of base formula |

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

Logarithmic scales | Logarithmic scale | |

The pH scale | ||

The Decibel scale | ||

The Richter scale | Richter scale |

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

What is the number e? | ||

The natural exponential and logarithmic functions | ||

Graphing exponential functions | Graphing exponential functions | |

The natural logarithm | Natural logarithm | |

Continuously compounded interest | Introduction to compound interest and e | |

Instantaneous rate of growth or decay | ||

Expressing exponential models in terms of e |

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

Solving exponential and logarithmic equations | ||

Getting information from exponential models | Exponential growth and decay word problems | |

Newton's Law of Cooling | ||

Radiocarbon dating |

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

Composition of functions | Creating new functions from composition | Functions 3 |

The inverse of a function | Function inverse example | Inverses of functions |

Which functions have inverses? | Function invertibility | |

Exponential and logarithmic functions as inverse functions | Comparing exponential and logarithmic functions |

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

Shifting graphs up and down | Flipping and shifting functions | |

Shifting graphs left and right | Shifting functions | |

Stretching and shrinking graphs vertically | Shifting and reflecting graphs | |

Reflecting graphs | Shifting and reflecting graphs | Shifting and refecting functions practice |

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

Quadratic functions in general form | Graphing using roots and vertex | Graphing parabolas 1 |

Quadratic functions in standard form | Completing the square | |

Graphing using the standard form | Graphing in vertex form | Graphing parabolas 2 |

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

Finding maximum and minimum values | Finding the vertex of a parabola | |

Modeling with quadratic functions |

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

Solving quadratic equations: factoring | Solving a quadratic equation by factoring | Solving quadratics by factoring |

The quadratic formula | How to use the quadratic formula | Quadratic equation |

The discriminant | Discriminant of quadratic equations | |

Modeling with quadratic functions | Quadratic example |

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

Modeling data with quadratic functions |

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

Adding and subtracting functions | Adding and subtracting polynomials | |

Multiplying and dividing functions | Multiplying polynomials |

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

Power functions with positive integer powers | ||

Direct proportionality | Proportionality constant for direct variation | |

Fractional positive powers | ||

Modeling with power functions |

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

Polynomial functions | Terms, coefficients, and exponents in a polynomial | |

Graphing polynomial functions by factoring | ||

End behavior and the leading term | Polynomial end behavior example | Graphs of polynomials |

Modeling with polynomial functions |

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

Fitting power curves to data | ||

A linear, power, or exponential model? | ||

Fitting polynomial curves to data |

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

The reciprocal function | ||

Inverse proportionality | Inverse variation example | Direct and inverse variation |

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

Graphing rational functions | Asymptotes of rational functions |

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

The substitution method | The substitution method | Systems with substitution |

The elimination method | Addition elimination method | Systems with elimination |

Graphical interpretation: the number of solutions | Consistent and inconsistent systems | Graphical solutions to systems |

Applications: mixture problems | Mixture problem 2 |

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

Solving a triangular system using back-substitution | Systems of three variables | |

Inconsistent and dependent systems | Independent and dependent systems | |

Modeling with linear systems | Three equation application problem |

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