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

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Section 1.1: Making Sense of Data
TopicVideosPractice Problems
Average Stats Intro: mean, median, and mode Calculating the mean
Median Finding mean, median, and mode Calculating the median

Section 1.2: Visualizing Relationships in Data
TopicVideosPractice 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

Section 1.3: Equations; Describing Relationships in Data
TopicVideosPractice Problems
Making a Linear Model from Data Determining a linear relationship
First Differences Recognizing linear functions
Getting Information from a Linear Model Application problem

Section 1.4: Functions; Describing Change
TopicVideosPractice 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

Section 1.5: Function Notation
TopicVideosPractice 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

Section 1.6: Working with Functions; Graphs
TopicVideosPractice 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

Section 2.1: Working with Functions
TopicVideosPractice Problems
Average rate of change of a function Average rate of change
Average speed of a moving object

Section 2.2: Linear Functions
TopicVideosPractice 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

Section 2.3: Equations of Lines
TopicVideosPractice 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

Section 2.4: Direct Proportionality
TopicVideosPractice Problems
Parallel lines Parallel line equation
Perpendicular lines Perpendicular line slope
Modeling direct proportionality Direct variation

Section 2.5: Linear Regression; Fitting Lines to Data
TopicVideosPractice 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

Section 2.6: Linear Equations; Getting Info from a Model
TopicVideosPractice Problems
Getting information from a linear model Constructing linear equations to solve word problems
Models that lead to linear equations

Section 2.7: Linear Equations; Where Lines Meet
TopicVideosPractice Problems
Intersection points of linear functions Graphing sstems of equations
Modeling supply and demand

Section 3.1: Exponential Growth and Decay
TopicVideosPractice Problems
The growth factor Exponential growth and decay word problems Rewriting and interpreting exponential functions
The growth rate Decay example

Section 3.2: Exponential Models; Comparing Rates
TopicVideosPractice Problems
Changing the time period
Compound interest Introduction to compound interest

Section 3.3: Comparing Linear and Exponential Growth
TopicVideosPractice 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

Section 3.4: Graphs of Exponential Functions
TopicVideosPractice 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

Section 3.5: Fitting Exponential Curves to Data
TopicVideosPractice Problems
Fnding exponential models for data Constructing linear and exponential models from data Constructing linear and exponential functions
Is an exponential model appropriate?

Section 4.1: Logarithmic Functions
TopicVideosPractice 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

Section 4.2: Laws of Logarithms
TopicVideosPractice 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

Section 4.3: Logarithmic Scales
TopicVideosPractice Problems
Logarithmic scales Logarithmic scale
The pH scale
The Decibel scale
The Richter scale Richter scale

Section 4.4: The Natural Exponential and Log Functions
TopicVideosPractice 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

Section 4.5: Exponential Equations
TopicVideosPractice Problems
Solving exponential and logarithmic equations
Getting information from exponential models Exponential growth and decay word problems
Newton's Law of Cooling

Section 4.6: Working with Functions: Composition/Inverse
TopicVideosPractice 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

Section 5.1: Working with functions: shifting and scaling
TopicVideosPractice 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

Section 5.2: Quadratic functions and their graphs
TopicVideosPractice 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

Section 5.3: Maxima and Minima
TopicVideosPractice Problems
Finding maximum and minimum values Finding the vertex of a parabola

TopicVideosPractice Problems
The discriminant Discriminant of quadratic equations

Section 5.5: Fitting curves to data
TopicVideosPractice Problems

Section 6.1: Working with functions; Algebraic operations
TopicVideosPractice Problems
Multiplying and dividing functions Multiplying polynomials

Section 6.2: Power functions; Positive powers
TopicVideosPractice Problems
Power functions with positive integer powers
Direct proportionality Proportionality constant for direct variation
Fractional positive powers
Modeling with power functions

Section 6.3: Polynomial functions
TopicVideosPractice 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

Section 6.4: Fitting polynomial and power curves to data
TopicVideosPractice Problems
Fitting power curves to data
A linear, power, or exponential model?
Fitting polynomial curves to data

Section 6.5: Power functions; Negative powers
TopicVideosPractice Problems
The reciprocal function
Inverse proportionality Inverse variation example Direct and inverse variation

Section 6.6: Rational functions
TopicVideosPractice Problems
Graphing rational functions Asymptotes of rational functions

Section 7.1: Systems of Linear Equations in Two Variables
TopicVideosPractice 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

Section 7.2: Systems of Linear Equations in Several Variables
TopicVideosPractice 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