Department of Mathematics & Statistics
Khan Academy MTH 1310
This website shows Khan Academy links for most topics in MTH 1310.
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 |
---|---|---|
Real Numbers | Number Sets | |
Properties of Real Numbers | Arithmetic Properties | |
Inequalities and Intervals | Inequalities on a Number Line | Inequalities on a Number Line |
Absolute Value | Absolute Value and Number Lines | Absolute Value |
Order of Operations | Introduction to Order of Operations | Order of Operations |
Topic | Videos | Practice Problems |
---|---|---|
Positive Integer Exponents | Exponents 1 | |
Negative and Zero Exponents | Exponents 2 | |
Operations with Exponents | Properties of Integer Exponents |
Topic | Videos | Practice Problems |
---|---|---|
Roots | Understanding Square Roots | |
Fractional Exponents | Rational Exponents and Exponent Laws | Exponents 4 |
Rationalizing Denominators | How to Rationalize a Denominator |
Topic | Videos | Practice Problems |
---|---|---|
Combining Polynomials | Addition and Subtraction of Polynomials | Adding and Subtracting Polynomials |
Distributive Law | Distributive Property Example | Distributive Property |
Product of Two Polynomials | FOIL for Multiplying Binomials | Multiplying Expressions |
Division of Polynomials | Polynomial Division | Dividing Polynomials with Remainders |
Topic | Videos | Practice Problems |
---|---|---|
Solving Linear Equations | Algebra:Linear Equations | |
Solving Fractional Equations | Solving Rational Equations | Solving Rational Equations |
Solving an Equation for One of Two Variables | Solving for a Variable | Manipulating Formulas |
Profit Example | Linear Equation Word Problem | Linear Equation Word Problems |
Solving Inequalities | Multi-step Inequalities | Linear Inequalities |
Topic | Videos | Practice Problems |
---|---|---|
Functions | Relations and Functions | |
Graphing Functions | ||
Evaluating Functions | Functions 1 | |
Function Notation | Understanding Function Notation | |
Domain and Range | Domain of a Radical Function | Domain of a Function |
Operations with Functions | ||
Composition of Functions | Creating a New Function from Composition |
Topic | Videos | Practice Problems |
---|---|---|
Intercepts | Graphing with Intercepts | |
Slope | Slope of a Line | |
Equations of Lines | Finding a Linear Equation | |
Writing the Equation of a Line | Constructing the Equation of a Line | Slope-Intercept Form |
Slope-Intercept Form | Point-Slope and Standard Form | Converting between Slope-Intercept and Standard Form |
Graphing Linear Functions | Graphing in Slope-Intercept Form |
Topic | Videos | Practice Problems |
---|---|---|
Graphing with a Graphing Calculator |
Topic | Videos | Practice Problems |
---|---|---|
Graphical Solution of a System | Solving Linear Systems by Graphing | |
Solution by Substitution | Solving Linear Systems by Substitution | |
Solution by Elimination | Solving Systems of Equations by Elimination | Systems of Equations |
Inconsistent and Dependent Systems | Special Types of Linear Systems |
Topic | Videos | Practice Problems |
---|---|---|
Cost, Revenue, and Profit Functions | ||
Marginal Cost | ||
Break Even | ||
Market Equilibrium | Market Equilibrium |
Topic | Videos | Practice Problems |
---|---|---|
Quadratic Equations | Quadratics in Standard Form | |
Solving by Factoring | Solving a Quadratic by Factoring | Solving Quadratics by Factoring |
Solving by the Square Root Method | Solving Quadratics by Square Roots | Solving Quadratics by Taking Square Roots |
Solving by the Quadratic Formula | How to Use the Quadratic Formula | Quadratic Formula |
Nonreal Solutions | How to Use the Quadratic Formula |
Topic | Videos | Practice Problems |
---|---|---|
Vertex and Graph of a Parabola | Parabola Vertex and Axis of Symmetry | |
Maximization | ||
Graph of a Quadratic Function | Graphing a Parabola | |
Graph Comparison | Shifting and Scaling Parabolas | Graphing Parabolas 1 |
Average Rate of Change | Average Rate of Change | Average Rate of Change |
Topic | Videos | Practice Problems |
---|---|---|
Break-Even Point | ||
Profit Maximization | ||
Market Equilibrium |
Topic | Videos | Practice Problems |
---|---|---|
Shifted Graphs | Shifting and Reflecting Functions | Shifting and Reflecting Functions |
Rational Functions | Rational Functions | |
Asymptotes |
Topic | Videos | Practice Problems |
---|---|---|
Curve Fitting |
Topic | Videos | Practice Problems |
---|---|---|
Matrices | Intro to the Matrix | Matrix Dimensions |
Matrix Sums and Differences | Matrix Addition and Subtraction | Matrix Addition and Subtraction |
Scalar Multiplication | Scalar Multiplication | Scalar Matrix Multiplication |
Transpose of a Matrix |
Topic | Videos | Practice Problems |
---|---|---|
Matrix Product | ||
Identity Matrix | Identity Matrix |
Topic | Videos | Practice Problems |
---|---|---|
Gauss-Jordan Method | Reduced Row Echelon Form 1 | |
Matrix Solution of a System | Reduced Row Echelon Form 2 | |
A System with No Solution | Reduced Row Echelon Form 3 |
Topic | Videos | Practice Problems |
---|---|---|
Finding an Inverse Matrix | Inverse of a 2x2 Matrix |
|
Solutions with Inverse Matrices | Matrix Equations and Systems | |
Determinant of a 2x2 Matrix | Finding the Determinant of a 2x2 Matrix | Matrix Determinant |
Topic | Videos | Practice Problems |
---|---|---|
Graphing an Inequality | Graphing Linear Inequalities in Two Variables | Graphing Inequalities |
Graphical Solution of a System of Inequalities | Graphing Systems of Inequalities | Graphing Systems of Inequalities |
Topic | Videos | Practice Problems |
---|---|---|
Maximization | ||
Minimization |
Topic | Videos | Practice Problems |
---|---|---|
Exponential Functions | Exponential Growth Functions | |
Graphing an Exponential Function | Graphing Exponential Functions | |
Exponential Functions with Base e | ||
Exponential Growth | Exponential Growth and Decay Word Problems |
Topic | Videos | Practice Problems |
---|---|---|
Logarithms and Exponential Functions | Comparing Exponential and Logarithmic Functions | |
Graphing a Logarithmic Function | Graphing Logarithmic Functions | |
Graphing the Natural Logarithm | ||
Logarithm Properties | Using Multiple Logarithm Properties to Simplify | Logarithms |
Change of Base Formula | Change of Base Formula |
Topic | Videos | Practice Problems |
---|---|---|
Solving an Exponential Equation | Solving an Exponential Equation | Using Logarithms to Solve Exponential Equations |
Solving a Logarithmic Equation | Solving Logarithmic Equations |
Topic | Videos | Practice Problems |
---|---|---|
Simple Interest | Introduction to Interest | |
Arithmetic Sequences | Arithmetic Sequences |
Topic | Videos | Practice Problems |
---|---|---|
Compound Interest | Interest Part 2 | |
Future Value | ||
Present Value | ||
Continuous Compounding | ||
Annual Percentage Yield | Annual Percentage Rate | |
Geometric Sequences | Geometric Sequences Introduction |
Topic | Videos | Practice Problems |
---|---|---|
Future Value | Time Value of Money | |
Payment for an Ordinary Annuity | ||
Future Value for an Annuity Due |
Topic | Videos | Practice Problems |
---|---|---|
Present Value | Time Value of Money | |
Payments from an Annuity | ||
Present Value of an Annuity Due | ||
Present Value of a Deferred Annuity |
Topic | Videos | Practice Problems |
---|---|---|
Payments to Amortize a Debt | ||
Amortization Schedule | ||
Unpaid Balance |
Topic | Videos | Practice Problems |
---|---|---|
Probability | Basic Probability | Probability 1 |
Probability of Events | Example: Probabilities | |
Sample Spaces | Example: Sample Space | |
Odds |
Topic | Videos | Practice Problems |
---|---|---|
Unions and Intersections of Events | ||
Inclusion-Exclusion Principle | Addition Rule for Probability | |
Mutual Exclusivity |
Topic | Videos | Practice Problems |
---|---|---|
Conditional Probability | Introduction to Dependent Probability | Identifying Dependent and Independent Events |
Product Rule | Dependent Probability | |
Independent Events | Compound Probability of Independent Events | Compound Events |
Product Rule for Independent Events | Product Rule with Independence | Independent Probability |
"At Least One" Probability Rule | At Least One |
Topic | Videos | Practice Problems |
---|---|---|
Probability Tree | Example: Bag of Unfair Coins | |
Bayes' Formula |
Topic | Videos | Practice Problems |
---|---|---|
Fundamental Counting Principle | Permutations 1 | |
Factorials | ||
Permutations | Example: Ways to Arrange Colors | Permutations |
Combinations | Example: 9 Card Hands | Combinations |
Topic | Videos | Practice Problems |
---|---|---|
Applications | Probability with Permutation and Combination |
Topic | Videos | Practice Problems |
---|---|---|
Probability Vector | ||
Regular Markov Chain |
Topic | Videos | Practice Problems |
---|---|---|
Binomial Experiments | Binomial Distribution |
Topic | Videos | Practice Problems |
---|---|---|
Discrete Probability Distribution | Constructing a Probability Distribution | |
Expected Value | Expected Value | Expected Value |