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 TwoVariable 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  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  
Finding linear functions from a graph  Constructing equations from graphs 
Topic  Videos  Practice Problems 

Slopeintercept form  Linear equation from a slope and a point  
Pointslope form  Linear equations in pointslope form  
Finding the equation of a line  
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  
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  
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  
The inverse of a function  Function inverse example  Inverses of functions 
Which functions have inverses?  
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  
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  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 backsubstitution  Systems of three variables  
Inconsistent and dependent systems  Independent and dependent systems  
Modeling with linear systems  Three equation application problem 