Statis STEM Curriculum

STATIS STEM CURRICULUM

The following is a list of all subjects within our STEM curriculum. This list contains the name of each lesson within each subject. Each of the lessons contains a video based lesson of approximately 20 to 30 minutes in length. It also contains a database of diagnostic test questions that will automatically create a customized course of study derived from the initial assessment test. These lessons can be used by teachers in the classroom or during independent self-paced study that includes pre-post, mid-term, and final diagnostic assessment exams for each lesson.

Basic Elementary Math

1. Adding 1 and 2 Digit Numbers
2. Adding 3 and 4 Digit Numbers
3. Subtract 1 and 2 digit numbers
4. Subtract 3 and 4 digit numbers
5. Intro to Multiplication
6. Multiplication Problems
7. Division with no Remainder
8. Division with a Remainder
9. Dividing 2,3 and 4 Digit Numbers with a Remainder
10. Simplifying Fractions
12. Add and Subtract Fraction with Common Denominator
13. Multiplying Fractions
14. Dividing Fractions
15. Decimal Place Value
17. Dividing Decimals
18. Percents
19. Ratio and Proportion

Advanced Elementary Math - Part 1

1. Review of Fraction Concepts
2. Writing Fractions as Words
3. Finding Factors of Numbers
4. Finding the Greatest Common Factor
5. Finding the GCF of 3 Numbers
6. Prime Factorization
7. Equivalent Fractions
8. Renaming Fractions
9. Simplifying Fractions, Part 1
10. Simplifying Fractions, Part 2
11. Review of Improper Fractions
12. Review of Mixed Fractions
13. Writing Mixed Fractions as Improper Fractions
14. Writing Improper Fractions as Mixed Fractions
15. Thinking of Fractions as Division
16. Writing Whole Numbers as Fractions

Advanced Elementary Math - Part 2

1. Adding Fractions with Like Denominators
2. Adding Fractions with Like Denominators and Simplify
3. Adding Fractions with Unlike Denominators - Part 1
4. Adding Fractions with Unlike Denominators - Part 2
5. Adding Mixed Numbers - Method 1
6. Adding Mixed Numbers - Method 2
7. Subtracting Fractions with Like Denominators
8. Subtracting Fractions with Like Denominators and Simplify
9. Subtracting Fractions with Unlike Denominators - Part 1
10. Subtracting Fractions with Unlike Denominators - Part 2
11. Subtracting Mixed Numbers
13. Word Problems Adding Mixed Numbers
14. Word Problems Subtracting Fractions
15. Word Problems Subtracting Mixed Numbers

Advanced Elementary Math - Part 3

1. Multiply Whole Numbers with Fractions
2. Word Problems Multiply Whole Numbers with Fractions
3. Multiplying Fractions
4. Multiplying Fractions and Simplify Results
5. Word Problems Multiplying Fractions
6. Multiplying Mixed Numbers by a Fraction
7. Multiplying Mixed Numbers by Mixed Numbers
8. Word Problems Multiplying Mixed Numbers
9. Divide Whole Numbers by Fractions
10. Dividing Fractions by Fractions
11. Dividing Mixed Numbers by a Fraction
12. Dividing Mixed Numbers by Mixed Numbers
13. Word Problems Dividing Fractions
14. Word Problems Dividing Mixed Numbers

Advanced Elementary Math - Part 4

1. Order of Operations
2. Write and Interpret Expressions
3. Patterns and Ordered Pairs
4. Decimal Place Value
5. Multiply by Powers of 10
6. Divide by Powers of 10
7. Comparing Decimals
8. Rounding Decimals
9. Multiply Whole Numbers
10. Word Problems Multiplying Whole Numbers
11. Divide by a 1-Digit Divisor
12. Divide by a 2-Digit Divisor
13. Word Problems Dividing Whole Numbers

Pre-Algebra

1. Real Numbers
2. Number Line
3. Greater Less Equal to
5. Subtracting Integers
6. Multiplying Integers
7. Dividing Integers
8. Powers and Exponents
9. Order of Operations
10. Factors and Multiples
11. Prime Factorization
12. Greatest Common Factor
13. Least Common Multiple
14. Introduction to Fractions and Fraction Simplification
15. Mixed and Improper Fractions
16. Finding the Common Denominator
18. Subtracting Fractions
19. Multiplying Fractions
20. Dividing Fractions
21. Variables and Expressions
23. Multiplying Expressions
24. Dividing Expressions
25. Solving Single Step Equations

Algebra 1

1. Real Numbers and Their Graphs
2. Simplifying Fractions
3. Multiplying & Dividing Fractions
5. Exponents & Order of Operations
6. Add and Subtract Real Numbers
7. Multiplying And Dividing Real Numbers
8. Algebraic Expressions
9. Properties of Real Numbers
10. Introduction to Equations
11. Solving More Equations
12. Simplifying Expressions To Solve Equations
13. Solving Inequalities
14. Natural Number Exponents
15. Zero and Negative Exponents
16. Polynomials and Algebraic Functions
18. Multiplying Polynomials
19. Divide Polynomial by Monomial
20. Divide Polynomials by Polynomials
21. Factoring the Greatest Common Factor
22. Factoring by Grouping
23. Factor Difference of Two Squares

Algebra 2

1. Graphing Equations
2. The Slope of a Line
3. Writing Equations of Lines
4. Graphing Inequalities
5. Solving Systems of Equations by Graphing
6. Solving Systems of Equations by Substitution
7. Solving Systems of Equations by Addition
8. Solving Systems of Equations in Three variables
11. Multiply and Divide Radical Expressions
13. Fractional Exponents
14. Solving Polynomial Equations

Geometry

1. Lines, Rays, and Planes
2. Working with Angles
3. Complimentary and Supplementary Angles
4. Working with Intersecting Lines
5. Types of Triangles
6. Congruent Triangles
7. The Pythagorean Theorem
8. Introduction to Polygons
10. Similar Triangles
11. Perimeter
12. Area of Rectangles
13. Area of Parallelograms
14. Area of Triangles
15. Area of Trapezoids
16. Area of Prisms
17. Part of Prisms and Pyramids
18. Circles and Circular Figures
19. Cylinders, Cones, and Spheres
20. Geometric Proofs

The Trigonometry & Pre-Calculus - Part 1

1. Complex Numbers
2. Exponential Functions
3. Logarithmic Functions
4. Solving Exponential and Logarithmic Equations
5. Angles
6. Find Trig Functions w/ Triangles
7. Finding Trig Functions Using The Unit Circle
8. Graphing Trig Functions
9. Trig Identities

The Trigonometry & Pre-Calculus - Part 2

1. Fundamental Trig Identities - Part 1
2. Fundamental Trig Identities - Part 2
3. Pythagorean Trig Identities - Part 1
4. Pythagorean Trig Identities - Part 2
5. Pythagorean Trig Identities - Part 3
6. Solving Trig Equations - Part 1
7. Solving Trig Equations - Part 2
8. Cofunction and Even/Odd Trig Identities
9. Addition and Subtraction Trig Identities - Part 1
10. Addition and Subtraction Trig Identities - Part 2
11. Double Angle Trig Identities
12. Squaring Trig Identities
13. Half Angle Trig Identities
14. Product-to-Sum Trig Identities
15. Sum-to-Product Trig Identities
16. The Law of Sines - Part 1
17. The Law of Sines - Part 2
18. The Law of Cosines - Part 1
19. The Law of Cosines - Part 2

Calculus 1 & 2

1. What Is A Derivative?
2. The Derivative Defined As A Limit
3. Differentiation Formulas
4. Derivatives Of Trigonometric Functions
5. The Chain Rule
6. Higher Order Derivatives
7. Related Rates
8. Curve Sketching Using Derivatives
9. Introduction To Integrals
10. Solving Integrals
11. Integration By Substitution
12. Calculating Part With Integrals
13. Derivatives and Integrals Of Exponentials
14. Derivatives Of Logarithms
15. Integration By Parts
16. Integration By Trig Substitution
17. Improper Integrals

Calculus 1 - Limits

1. Evaluating Simple Limits with Substitution, Part 1
2. Evaluating Simple Limits with Substitution, Part 2
3. Evaluating Limits by Factoring, Part 1
4. Evaluating Limits by Factoring, Part 2
5. Limits Involving Trig Functions
6. Tangent Lines, Velocity, and Limits
7. Formal Definition of a Limit
8. Limit Laws
9. Using the Limit Laws
10. The Squeezing Theorem
11. Left Hand and Right Hand Limits, Part 1
12. Left Hand and Right Hand Limits, Part 2
13. Continuity

Calculus 1: Extra Practice with Derivatives

1. Basic Derivatives - Part 1
2. Basic Derivatives - Part 2
3. Product Rule of Differentiation - Part 1
4. Product Rule of Differentiation - Part 2
5. Quotient Rule of Differentiation - Part 1
6. Quotient Rule of Differentiation - Part 2
7. Derivatives of Trig Functions - Part 1
8. Derivatives of Trig Functions - Part 2
9. The Chain Rule - Part 1
10. The Chain Rule - Part 2
11. Higher Order Derivatives - Part 1
12. Higher Order Derivatives - Part 2
13. Implicit Differentiation - Part 1
14. Implicit Differentiation - Part 2
15. Related Rates - Part 1
16. Related Rates - Part 2
17. Related Rates - Part 3
18. Derivatives of the Natural Log Function
19. Derivatives of the Natural Exponential Function
20. Derivatives of General Exponential and Log Functions

Calculus 1: Extra Practice with Integrals - Part 1

1. What is an Integral?
2. Fundamental Theorem of Calculus, Part 1
3. Fundamental Theorem of Calculus, Part 2
4. Properties of the Integral
5. Integrating Polynomials, Part 1
6. Integrating Polynomials, Part 2
7. Integrating Polynomials, Part 3
8. Integration of Trig Functions, Part 1
9. Integration of Trig Functions, Part 2
10. Integration of Trig Functions, Part 3
11. Integration by Substitution, Part 1
12. Integration by Substitution, Part 2
13. Integration by Substitution, Part 3
14. Integration by Substitution, Part 4
15. The Logarithm as an Integral, Part 1
16. The Logarithm as an Integral, Part 2
17. The Logarithm as an Integral, Part 3
18. Integrals of Exponential Functions, Part 1
19. Integrals of Exponential Functions, Part 2
20. Integrals of Exponential Functions, Part 3

Calculus 1: Extra Practice with Integrals - Part 2

1. Area Between Two Curves, Part 1
2. Area Between Two Curves, Part 2
3. Calculating Part with Integrals Using Cross-Sections
4. Calculating Part - Disk Method, Part 1
5. Calculating Part - Disk Method, Part 2
6. Calculating Part - Disk Method, Part 3
7. Calculating Part - Washer Method, Part 1
8. Calculating Part - Washer Method, Part 2
9. Calculating Part - Washer Method, Part 3
10. Calculating Part with the Shell Method, Part 1
11. Calculating Part with the Shell Method, Part 2
12. Calculating Part with the Shell Method, Part 3
13. Calculating the Surface Area of an Object
14. Integration by Parts, Part 1
15. Integration by Parts, Part 2
16. Integration by Parts, Part 3
17. Integration by Parts, Part 4
18. Integration by Parts, Part 5
19. Integration by Parts, Part 6
20. Integration by Parts, Part 7

1. Inverse Trigonometric Functions
2. Derivatives of Inverse Trigonometric Functions
3. Hyperbolic Functions
4. Inverse Hyperbolic Functions
5. L'Hospital's Rule
6. Trigonometric Integrals
7. Integration By Partial Fractions
8. Arc Length
9. Area Of A Surface Of Revolution
10. Parametric Equations
11. Arc Length In Parametric Equations
12. Surface Area Of Revolution In Parametric Equations
13. Polar Coordinates
14. Polar Equations
15. Area And Length In Polar Coordinates
16. Sequences
17. Series
18. Integral Test Of Series Convergence
19. Comparison Tests Of Series Convergence
20. Alternating Series Test Of Convergence
21. Ratio and Root Test Of Series Convergence

Differential Equations: Part 1

1. What is a Differential Equation?
2. Solving Elementary Differential Equations
3. Separation of Variables Solution Method
4. First Order Variation of Parameters, Part 1
5. First Order Variation of Parameters, Part 2
6. Exact Differential Equations [View Sample Lesson]
7. Existence and Uniqueness Theorem
8. Graphing Solutions to First Order Equations
9. Applications - Mixing Problems
10. Applications - Newton's Law of Cooling
11. Applications - Circuit Problems, Part 1
12. Applications - Circuit Problems, Part 2
13. Differential Equations: Part 2
14. Intro to Higher Order Differential Equations (ODEs)
15. Identifying Linear ODEs [View Sample Lesson]
16. Solving Elementary Higher Order ODEs
17. The Linear Differential Operator [View Sample Lesson]
18. The Wronskian Test For Linearly Independent Solutions
19. Wronskian Problems
20. Homogeneous ODEs - Constant Coefficients & Real Roots - Part 1
21. Homogeneous ODEs - Constant Coefficients & Real Roots - Part 2
22. Homogeneous ODEs - Constant Coefficients & Real Roots - Part 3
23. Homogeneous ODEs - Constant Coefficients & Complex Roots - Part 1
24. Homogeneous ODEs - Constant Coefficients & Complex Roots - Part 2
25. Homogeneous ODEs - Constant Coefficients & Complex Roots - Part 3
26. Non-Homogeneous ODEs - Undetermined Coefficients - Part 1
27. Non-Homogeneous ODEs - Undetermined Coefficients - Part 2
28. Non-Homogeneous ODEs - Undetermined Coefficients - Part 3
29. Non-Homogeneous ODEs - Undetermined Coefficients - Part 4
30. Non-Homogeneous ODEs - Undetermined Coefficients - Part 5
31. Non-Homogeneous ODEs - Undetermined Coefficients - Part 6
32. Non-Homogeneous ODEs - Variation of Parameters - Part 1
33. Non-Homogeneous ODEs - Variation of Parameters - Part 2
34. Non-Homogeneous ODEs - Variation of Parameters - Part 3
35. Non-Homogeneous ODEs - Variation of Parameters - Part 4

Chemistry 1 - Part 1

1. Introduction to Chemistry
2. Units and Unit Conversions
3. Significant Figures in Calculations
4. Temperature
5. Density
6. Atomic Theory of Matter: Part 1
7. Atomic Theory of Matter: Part 2
8. Atomic Theory of Matter: Part 3
9. Atomic Number, Mass Number, and Isotopes
10. Atomic Mass of an Element
11. Overview of the Periodic Table
12. Naming Molecular Compounds
13. Ions and Ionic Charge
14. Ionic Compounds
15. Ionic Compounds with Polyatomic Ions
16. Hydrate Compounds

Chemistry 1 - Part 2

1. Molecular Mass and Formula Mass
2. Avogadro's Number and the Mole - Part 1
3. Avogadro's Number and the Mole - Part 2
4. Percent Mass and Empirical Formulas - Part 1
5. Percent Mass and Empirical Formulas - Part 2
6. Writing and Balancing Chemical Reactions - Part 1
7. Writing and Balancing Chemical Reactions - Part 1
8. Reaction Stoichiometry - Part 1
9. Reaction Stoichiometry - Part 2
10. Limiting Reactants - Part 1
11. Limiting Reactants - Part 2
12. Percent Yield in Chemical Reactions
13. Molar Concentration of Solutions - Part 1
14. Molar Concentration of Solutions - Part 2
15. Dilution of Solutions
16. Solutions in Chemical Reactions - Part 1
17. Solutions in Chemical Reactions - Part 2

Chemistry 1 - Part 3

1. Electrical Properties of Aqueous Solutions
2. Calculating Ion Concentrations in Solutions
3. Strong and Weak Acids
4. Strong and Weak Bases
5. Acid-Base Reactions and Net Ionic Equations - Part 1
6. Acid-Base Reactions and Net Ionic Equations - Part 2
7. Acid-Base Titrations - Part 1
8. Acid-Base Titrations - Part 2
9. Acid-Base Titrations - Part 3
10. Acid-Base Titrations - Part 4
11. Acid-Base Titrations - Part 5
12. Acid-Base Titrations - Part 6
13. Acid-Base Titrations - Part 7
14. Solubility of Ionic Compounds
15. Precipitation Reactions and Net Ionic Equations - Part 1
16. Precipitation Reactions and Net Ionic Equations - Part 2

Chemistry 1 - Part 4

1. What is Oxidation and Reduction?
2. Writing Half Reactions for Redox Reactions, Part 1
3. Writing Half Reactions for Redox Reactions, Part 2
4. Identifying Oxidation and Reduction, Part 1
5. Identifying Oxidation and Reduction from Half Reactions, Part 2
6. Introduction to Oxidation Numbers
7. Rules to Assign Oxidation Numbers
8. Finding Oxidation Numbers, Part 1
9. Finding Oxidation Numbers, Part 2
10. Finding Oxidation Numbers, Part 3
11. Change in Oxidation Numbers, Part 1
12. Change in Oxidation Numbers, Part 2
13. Change in Oxidation Numbers, Part 3
14. Balancing Redox Reactions, Part 1
15. Balancing Redox Reactions, Part 2
16. Balancing Redox Reactions in Acidic Solution, Part 1
17. Balancing Redox Reactions in Acidic Solution, Part 2
18. Balancing Redox Reactions in Acidic Solution, Part 3
19. Balancing Redox Reactions in Acidic Solution, Part 4
20. Balancing Redox Reactions in Acidic Solution, Part 5
21. Balancing Redox Reactions in Acidic Solution, Part 6
22. Balancing Redox Reactions in Acidic Solution, Part 7
23. Balancing Redox Reactions in Neutral Solution
24. Balancing Redox Reactions in Basic Solution, Part 1
25. Balancing Redox Reactions in Basic Solution, Part 2
26. Balancing Redox Reactions in Basic Solution, Part 3
27. Redox Stoichiometry, Part 1
28. Redox Stoichiometry, Part 2
29. Activity Series for Redox Reactions, Part 1
30. Activity Series for Redox Reactions, Part 2

Chemistry 1 - Part 5

1. The Pressure of a Gas
2. Boyle's Law, Part 1
3. Boyle's Law, Part 2
4. Charles's Law, Part 1
5. Charles's Law, Part 2
6. Avogadro's Gas Law and Molar Part, Part 1
7. Avogadro's Gas Law and Molar Part, Part 2
8. The Combined Gas Law, Part 1
9. The Combined Gas Law, Part 2
10. The Ideal Gas Law, Part 1
11. The Ideal Gas Law, Part 2
12. The Ideal Gas Law, Part 3
13. Finding Molecular Mass using the Ideal Gas Law
14. Finding Gas Density using the Ideal Gas Law
15. Gases in Reaction Stoichiometry, Part 1
16. Gases in Reaction Stoichiometry, Part 2
17. Gases in Reaction Stoichiometry, Part 3
18. Dalton's Law of Partial Pressures, Part 1
19. Dalton's Law of Partial Pressures, Part 2
20. Dalton's Law of Partial Pressures, Part 3
21. Kinetic Molecular Theory of Gases, Part 1
22. Kinetic Molecular Theory of Gases, Part 2
23. Diffusion and Effusion, Part 1
24. Diffusion and Effusion, Part 2
25. Non-Ideal Gases (Real Gases)

Unit Conversion

1. Scientific Notation
2. The Metric System and SI Units
3. Unit Conversions Involving Length
4. Unit Conversions Involving Area
5. Unit Conversions Involving Part
6. Unit Conversions Involving Speed
7. Unit Conversions Involving Mass and Weight
8. Unit Conversions Involving Density

Physics 1

1. Velocity And Acceleration In One Dimension
2. Equations Of Motion In One Dimension
3. Scalars And Vectors
4. Projectile Motion
5. Newton's Laws Of Motion
6. Newton's Laws Of Motion With Friction
7. Work
8. Kinetic Energy And The Work-Energy Theorem
9. Potential Energy And Energy Conservation
10. Power
11. Momentum And Impulse
12. Conservation Of Momentum
13. Inelastic And Elastic Collisions
14. Angular Speed And Angular Acceleration
15. Rotational Equations Of Motion
16. Tangental Speed And Centripetal Force
17. Gravitation And Kepler's Laws Of Motion
18. Torque
19. Rotational Equilibrium
20. Angular Acceleration & Moment Of Inertia
21. Angular Momentum
22. Density And Pressure
23. They Buoyant Force
24. The Bernoulli Equation

Physics 2 - Part 1

1. Thermometers and Temperature Scales
2. Expansion and Contraction of Materials
3. Kinetic Theory of Gases
4. Heat
5. Latent Heat and Phase Change
6. Heat Transfer by Convection, Radiation, and Conduction
7. Work, Heat, and PV Diagrams
8. The First Law of Thermodynamics
9. Heat Engines and the Second Law of Thermodynamics
10. Refrigerators
11. Entropy

Physics 2 - Part 2

1. Oscillations and Simple Harmonic Motion - Pt 1
2. Oscillations and Simple Harmonic Motion - Pt 2
3. Conservation of Energy in Simple Harmonic Motion
4. Pendulums and Resonance
5. Transverse Waves - Part 1
6. Transverse Waves - Part 2
7. Superposition and Interference of Waves
8. Standing Waves and Resonance - Part 1
9. Standing Waves and Resonance - Part 2
10. Speed of Sound Waves
11. Traveling Waves
12. Sound Intensity and Sound Level
13. Doppler Shift

Physics 3 - Part 1

1. Electric Charge and Coulomb's Law
2. Electric Field due to a Point Charge
3. Electric Field due to a dipole
4. Electric Field due to a Charged Ring
5. Gauss' Law, Part 1
6. Gauss' Law, Part 2
7. Gauss' Law, Cylindrical Symmetry
8. Gauss' Law, Planar Symmetry
9. Gauss' Law, Spherical Symmetry
10. Electric Potential, Part 1
11. Electric Potential, Part 2
12. Electric Potential of Point Charges
13. Electric Potential of a Dipole and Continuous Charge Distributions

Physics 3 - Part 2

1. The Capacitor
2. Capacitor Problems
3. Capacitors in Circuits, Part 1
4. Capacitors in Circuits, Part 2
5. Energy Storage in a Capacitor
6. Capacitors with a Dielectric, Part 1
7. Capacitors with a Dielectric, Part 2
8. Electric Current and Current Density, Part 1
9. Electric Current and Current Density, Part 2
10. The Magnetic Field
11. Magnetic Force on a Charged Particle, Part 1
12. Magnetic Force on a Charged Particle, Part 2
13. Equations of an Orbiting Charge in a Magnetic Field
14. Magnetic Confinement and the Earth's Aurora
15. Orbiting Charges in a Magnetic Field
16. Magnetic Force on a Current Carrying Wire, Part 1
17. Magnetic Force on a Current Carrying Wire, Part 2
18. Magnetic Force on a Current Carrying Wire, Part 3
19. Magnetic Torque on a Current Loop (Electric Motors)
20. Unit Conversion
21. Scientific Notation
22. The Metric System and SI Units
23. Unit Conversions Involving Length
24. Unit Conversions Involving Area
25. Unit Conversions Involving Part
26. Unit Conversions Involving Speed
27. Unit Conversions Involving Mass and Weight
28. Unit Conversions Involving Density

Probability and Statistics

1. Permutations
2. Combinations
3. Fundamentals of Probability
5. Conditional Probability
6. Bayes' Theorem
7. Mathematical Expectation
8. Mean, Median, and Mode
9. Standard Deviation and Variance
10. Random Variables and Introduction to Probability Distributions
11. The Binomial Probability Distribution
12. Mean and Standard Deviation of the Binomial Distribution
13. The Poisson Probability Distribution
14. The Normal Probability Density

Mastering Statistics - Part 1

1. Introduction to Statistics
2. Populations and Samples
3. Descriptive Vs. Inferential Statistics
4. Applying Definitions in Statistics
5. The Frequency Distribution
6. Relative and Cumulative Frequency Distributions
7. Pie Charts, Bar Graphs, and Pareto Charts
8. Histograms
9. Stem and Leaf Diagrams
10. Population Mean and Sample Mean
11. Calculating Means
12. Median and Mode
13. Data Range
14. Population and Sample Variance
15. Calculating Variance
16. Population and Sample Standard Deviation
17. Calculating Standard Deviation
18. Coefficient of Variation
19. Standard Deviation of Frequency Data
20. Empirical Rule of Standard Deviation
21. Empirical Rule Problems
22. Chebyshev's Theorem of Standard Deviation
23. Quartiles of Data
24. Box and Whisker Plots
25. Standard Score (z-Score)

Mastering Statistics - Part 2

1. Intro to this Course
2. Random Variables and Discrete Probability Distributions
3. The Normal Probability Distribution
4. Properties of the Normal Distribution
5. The Area Under the Normal Distribution
6. The Standard Normal Distribution
7. Practice with the Standard Normal Distribution
8. Using a Z-Chart Table, Part 1
9. Using a Z-Chart Table, Part 2
10. Using a Z-Chart Table, Part 3
11. Using a Z-Chart Table, Part 4
12. Finding Probability using a Normal Distribution, Part 1
13. Finding Probability using a Normal Distribution, Part 2
14. Finding Probability using a Normal Distribution, Part 3
15. Finding Probability using a Normal Distribution, Part 4
16. Finding Probability using a Normal Distribution, Part 5
17. Finding Z-Values with a Normal Distribution, Part 1
18. Finding Z-Values with a Normal Distribution, Part 2
19. Finding Z-Values with a Normal Distribution, Part 3
20. Finding Z-Values with a Normal Distribution, Part 4

Mastering Statistics - Part 3

1. Sampling Distributions
2. Central Limit Theorem, Part 1
3. Central Limit Theorem, Part 2
4. Apply Central Limit Theorem to Population Means, Part 1
5. Apply Central Limit Theorem to Population Means, Part 2
6. Apply Central Limit Theorem to Population Means, Part 3
7. Apply Central Limit Theorem to Population Proportions, Part 1
8. Apply Central Limit Theorem to Population Proportions, Part 2
9. Confidence Intervals for Population Means, Part 1
10. Confidence Intervals for Population means, Part 2
11. Estimating Population Means (Large Samples), Part 1
12. Estimating Population Means (Large Samples), Part 2
13. Estimating Population Means (Large Samples), Part 3
14. The Student t-Distribution
15. Using Student t-Distribution Statistical Tables
16. Estimating Population Means (Small Samples), Part 1
17. Estimating Population Means (Small Samples), Part 2
18. Estimating Population Means (Small Samples), Part 3

Mastering Statistics - Part 4

1. Estimating Population Proportions, Part 1
2. Estimating Population Proportions, Part 2
3. Estimating Population Proportions, Part 1
4. The Chi-Square Distribution
5. Estimating Population Variance, Part 1
6. Estimating Population Variance, Part 2
7. Estimating Population Variance, Part 3
8. Introduction to Hypothesis Testing
9. Writing the Null and Alternate Hypothesis
10. Rejection Regions in Hypothesis Testing
11. Hypothesis Testing for Means (Small Samples), Part 1
12. Hypothesis Testing for Means (Small Samples), Part 2
13. Hypothesis Testing for Means (Small Samples), Part 3
14. Hypothesis Testing for Means (Small Samples), Part 4
15. Hypothesis Testing for Means (Small Samples), Part 5
16. Hypothesis Testing for Means (Small Samples), Part 6
17. Hypothesis Testing for Means (Small Samples), Part 7
18. Hypothesis Testing for Means (Small Samples), Part 8

Mastering Statistics - Part 5

1. Hypothesis Testing for Means (Large Samples), Part 1
2. Hypothesis Testing for Means (Large Samples), Part 2
3. Hypothesis Testing for Means (Large Samples), Part 3
4. P-Values in Hypothesis Testing
5. Using P-Values to Make Decisions
6. Hypothesis Testing for Means Using P-Values (Large Samples), Part 1
7. Hypothesis Testing for Means Using P-Values (Large Samples), Part 2
8. Hypothesis Testing for Means Using P-Values (Large Samples), Part 3
9. Hypothesis Testing for Means Using P-Values (Large Samples), Part 4
10. Hypothesis Testing for Population Proportions, Part 1
11. Hypothesis Testing for Population Proportions, Part 2
12. Hypothesis Testing for Population Proportions, Part 3
13. Types of Errors in Hypothesis Testing
14. Hypothesis Testing for Population Variance, Part 1
15. Hypothesis Testing for Population Variance, Part 2
16. Hypothesis Testing for Population Variance, Part 3
17. Hypothesis Testing for Population Variance, Part 4

Mastering Statistics - Part 6

1. Hypothesis Testing - 2 Means (Large Independent Samples), Part 1
2. Hypothesis Testing - 2 Means (Large Independent Samples), Part 2
3. Hypothesis Testing - 2 Means (Large Independent Samples), Part 3
4. Hypothesis Testing - 2 Means (Large Independent Samples), Part 4
5. Hypothesis Testing - 2 Means (Small Independent Samples), Part 1
6. Hypothesis Testing - 2 Means (Small Independent Samples), Part 2
7. Hypothesis Testing - 2 Means (Small Independent Samples), Part 3
8. Hypothesis Testing - 2 Proportions (Lg Independent Samples), Part 1
9. Hypothesis Testing - 2 Proportions (Lg Independent Samples), Part 2
10. Hypothesis Testing - 2 Proportions (Lg Independent Samples), Part 3
11. Hypothesis Testing - 2 Means (Dependent Samples), Part 1
12. Hypothesis Testing - 2 Means (Dependent Samples), Part 2
13. Hypothesis Testing - 2 Means (Dependent Samples), Part 3

Mastering Java Programming - Part 1

1. Introduction and How to Use This Course
2. What is Java and How is it Compiled?
3. Java Terminology
4. Installing the Java Development Kit
5. Compiling Our First Java Program
6. Installing the Eclipse IDE
7. Compiling Our First Program using the Eclipse IDE
8. Examining a Simple Java Program in Detail
9. Overview of the Eclipse IDE
11. Insert New Lines and Tabs into Screen Output
12. Declaring and Using Integer Variables
13. Basic Arithmetic with Integer Variables
14. Declaring and Using Floating Point Variables
15. Single-Line IF Statements
16. Single-Line FOR Loops
17. Creating Code Blocks for IF Statements and FOR Loops
18. More Integer Data Types
19. More Floating Point Data Types
20. The Character Data Type
21. The Boolean Data Type
22. More on Declaring and Initializing Variables
24. Increment and Decrementing Variables
25. Logical Operators
26. Shorthand Arithmetic Assignments

Mastering Java Programming - Part 2

2. Important Behavior When Using System.in.read()
3. Read Integers and Doubles from Keyboard using Scanner
4. Using IF-Else to Make Decisions
5. Nested IF Statements
7. The Switch Statement
8. Using the Break Statement
9. The Remainder Operator and Continue Statement
10. The While Loop
11. The Do-While Loop
12. Exploring Java Classes and Packages
13. Absolute Value of Numbers
14. Rounding Numbers, Ceiling, and Floor
15. Powers and Square Roots
16. Using Pi and E in Calculations
17. Logarithms and Natural Logarithms
18. Converting between Degrees and Radians
19. Sin, Cos, and Tangent
20. aSin, aCos, and aTan

Mastering Java Programming - Part 3

1. Introduction to Methods in Java
2. Adding Parameters to a Method and Returning Values
3. Introduction to Classes and Objects
4. Definng a Class and Creating Objects
5. Storing and Accessing Instance Variables of an Object
6. Calculations with Instance Variables of an Object
7. Adding a Method to a Class
8. Returning a Value from a Class Method
9. Class Methods with Parameters
10. Adding a Constructor to a Class
11. Garbage Collection
12. The This Keyword
13. Public and Private Access Modifiers
14. The Static Keyword

Mastering Java Programming - Part 4

1. Declaring Arrays and Accessing Elements
2. Using a Loop to Access an Array
3. Search for the Max and Min of an Array
4. Two Dimensional Arrays
5. Using Array Length Instance Variable
6. Using Enhanced For Loops with Arrays
7. Creating and Using Strings
8. Combining Strings (Concatenation)
9. Obtaining the Length of a String
10. Determining if Two Strings are Equal
11. Comparing Two Strings
12. Reading Characters from a String
13. Searching a String for a Substring
14. Arrays of Strings
15. Searching a String from the End
16. Read Characters from a String into an Array
17. Changing a String to Lowercase or Uppercase
18. Replacing Characters in a String
19. Reading a String from the Keyboard

Advanced Engineering Math - Linear Algebra - Part 1

1. Matrices, Elements, and Transpose
2. n-Tuples and Matrix Arithmetic, Part 1
3. n-Tuples and Matrix Arithmetic, Part 2
4. Matrix Multiplication
5. The Vector Dot Product
6. Special Matrices
7. The Norm of a Vector
8. Unit Vectors in any Direction
9. Vector Addition and Triangle Inequalities
10. Orthogonal and Orthonormal Vectors
11. Solve Systems of Equations with Row Reduction, Part 1
12. Solve Systems of Equations with Row Reduction, Part 2
13. Solve Systems of Equations with Row Reduction, Part 3
14. Solve Systems of Equations with Row Reduction, Part 4
15. Solve Systems of Equations with Row Reduction, Part 5
16. Homogeneous Systems of Equations
17. Inverse of a 2x2 Matrix
18. Inverse of a 3x3 and Larger Matrix
19. Solve Systems of Equations with Inverse Matrices

Advanced Engineering Math - Linear Algebra - Part 2

1. Transformation Matrices for Scaling
2. Transformation Matrices for Rotation
3. Transformation Matrices for Translation
4. The Rank of a Matrix
5. Finding the Determinant of a Matrix by Row Operations - Part 1
6. Finding the Determinant of a Matrix by Row Operations - Part 2
7. Finding the Determinant of a 3x3 Matrix - Fast Method
8. Find the Cross Product of Two Vectors using Determinants
9. Cofactors of a Matrix
10. Finding the Determinant with Cofactors
12. Important Properties of Determinants
13. Linear Independence and Basis
14. Motivation for Eigenvalues and Eigenvectors
15. The Eigenvalue Problem
16. Finding Eigenvalues - Part 1
17. Finding Eigenvalues - Part 2
18. Finding Eigenvalues - Part 3
19. Finding Eigenvalues - Part 4
20. Finding Eigenvectors - Part 1
21. Finding Eigenvectors - Part 2

Advanced Engineering Math - Laplace Transform

1. Laplace Transform Definition
2. Deriving the Essential Transforms, Part 1
3. Deriving the Essential Transforms, Part 2
4. Table of Laplace Transforms, Part 1
5. Practice Calculating Laplace Transforms, Part 1
6. Practice Calculating Laplace Transforms, Part 2
7. Practice Calculating Inverse Transforms, Part 1
8. Practice Calculating Inverse Transforms, Part 2
9. Solving ODEs with Laplace Transforms, Part 1
10. Solving ODEs with Laplace Transforms, Part 2
11. Solving ODEs with Laplace Transforms, Part 3
12. Solving ODEs with Laplace Transforms, Part 4
13. Solving ODEs with Laplace Transforms, Part 5
14. Solving ODEs with Laplace Transforms, Part 6
15. Solving ODEs with Laplace Transforms, Part 7
16. More Properties of the Laplace Transform, Part 1
17. More Properties of the Laplace Transform, Part 2
18. More Properties of the Laplace Transform, Part 3
19. Laplace Transform of Piecewise Functions, Part 1
20. Laplace Transform of Piecewise Functions, Part 2
21. Laplace Transform of Piecewise Functions, Part 3
22. Summary of Laplace Transform Rules

Engineering Mechanics - Statics - Part 1

1. Review of Newton's Laws
2. Units in Mechanics
3. Review of Essential Trigonometry
5. Finding the Resultant of Two Forces, Part 1
6. Finding the Resultant of Two Forces, Part 2
7. Resolving a Force into Components, Part 1
8. Resolving a Force into Components, Part 2
9. Cartesian Vectors and Scalar Components
10. Adding Multiple Forces using Vector Components, Part 1
11. Adding Multiple Forces using Vector Components, Part 2
12. Adding Multiple Forces using Vector Components, Part 3
13. Adding Multiple Forces using Vector Components, Part 4
14. Cartesian Vectors in 3D, Part 1
15. Cartesian Vectors in 3D, Part 2
16. Cartesian Vectors in 3D, Part 3
17. Cartesian Vectors in 3D, Part 4
18. Cartesian Vectors in 3D, Part 5
19. Adding 3D Forces, Part 1
20. Adding 3D Forces, Part 2
21. Adding 3D Forces, Part 3

Engineering Mechanics - Statics - Part 2

1. Force Directed Along a Line - Part 1
2. Force Directed Along a Line - Part 2
3. Force Directed Along a Line - Part 3
4. The Dot Product
5. When to Use the Dot Product
6. Dot Product Problems - Part 1
7. Dot Product Problems - Part 2
8. Dot Product Problems - Part 3
9. Dot Product Problems - Part 4
10. Free Body Diagrams
11. 2-D Particle Equilibrium - Part 1
12. 2-D Particle Equilibrium - Part 2
13. 2-D Particle Equilibrium - Part 3
14. 2-D Particle Equilibrium - Part 4
15. 2-D Particle Equilibrium - Part 5
16. 2-D Particle Equilibrium - Part 6
17. 3-D Particle Equilibrium - Part 1
18. 3-D Particle Equilibrium - Part 2
19. 3-D Particle Equilibrium - Part 3

Engineering Mechanics - Statics - Part 3

1. Moment of a Force - Scalar Calculation - Part 1
2. Moment of a Force - Scalar Calculation - Part 2
3. Moment of a Force - Scalar Calculation - Part 3
4. Moment of a Force - Scalar Calculation - Part 4
5. The Cross Product of Two Vectors
6. Moment of a Force - Vector Calculation - Part 1
7. Moment of a Force - Vector Calculation - Part 2
8. Moment of a Force - Vector Calculation - Part 3
9. Moment of a Force - Vector Calculation - Part 4
10. Principle of Moments - Varignon's Theorem - Part 1
11. Principle of Moments - Varignon's Theorem - Part 2
12. Moment About a Specified Axis - Part 1
13. Moment About a Specified Axis - Part 2
14. Moment About a Specified Axis - Part 3
15. Moment About a Specified Axis - Part 4

Electrical Engineering - AC Circuit Analysis - Part 1

1. What is Alternating Current?
2. Sinusoidal Sources, Part 1
3. Sinusoidal Sources, Part 2
4. RMS Value of a Periodic Function
5. Practice with Sinusoidal Sources
6. Review of Complex Numbers
7. Circuits with Sinusoidal Sources
8. The Phasor
9. Practice with Phasors
10. Impedance of Inductors and Resistors
11. Impedance of Capacitors
12. Practice with Impedance
13. Kirchhoff's Laws in the Phasor Domain, Part 1
14. Kirchhoff's Laws in the Phasor Domain, Part 2
15. Series and Parallel Circuits in the Phasor Domain
16. Solving AC Circuits with Phasors, Part 1
17. Solving AC Circuits with Phasors, Part 2
18. Solving AC Circuits with Phasors, Part 3
19. Solving AC Circuits with Phasors, Part 4
20. Solving AC Circuits with Phasors, Part 5
21. Solving AC Circuits with Phasors, Part 6

Electrical Engineering - AC Circuit Analysis - Part 2

1. AC Source Transformations
2. AC Thevenin Equivalent Circuit Problems, Part 1
3. AC Thevenin Equivalent Circuit Problems, Part 2
4. AC Thevenin Equivalent Circuit Problems, Part 3
5. AC Thevenin Equivalent Circuit Problems, Part 4
6. AC Thevenin Equivalent Circuit Problems, Part 5
7. AC Node Voltage Problems, Part 1
8. AC Node Voltage Problems, Part 2
9. AC Node Voltage Problems, Part 3
10. AC Node Voltage Problems, Part 4
11. AC Node Voltage Problems, Part 5
12. AC Mesh Current Problems, Part 1
13. AC Mesh Current Problems, Part 2
14. AC Mesh Current Problems, Part 3
15. AC Mesh Current Problems, Part 4
16. AC Mesh Current Problems, Part 5

Engineering Circuit Analysis - Part 1

1. Voltage, Current, and Resistance
2. Overview of Circuit Components
3. Ohm's Law [View Sample Lesson]
4. Power Calculations in Circuits
5. Kirchhoff's Current Law
6. Kirchhoff's Voltage Law
7. Circuit Analysis using Kirchhoff's Laws - Part 1
8. Circuit Analysis using Kirchhoff's Laws - Part 2
9. Circuit Analysis using Kirchhoff's Laws - Part 3
10. Circuit Analysis using Kirchhoff's Laws - Part 4
11. Circuit Analysis using Kirchhoff's Laws - Part 5
12. Circuit Analysis using Kirchhoff's Laws - Part 6
13. Circuit Analysis using Kirchhoff's Laws - Part 7
14. Dependent Current Sources - Part 1
15. Dependent Current Sources - Part 2
16. Resistors in Series and Parallel - Part 1
17. Resistors in Series and Parallel - Part 2
18. Voltage Divider Circuits - Part 1
19. Voltage Divider Circuits - Part 2
20. Current Divider Circuits

Engineering Circuit Analysis - Part 2

1. Introduction to the Node Voltage Method
2. Node Voltage Problems - Part 1
3. Node Voltage Problems - Part 2
4. Node Voltage Problems - Part 3
5. Node Voltage Problems - Part 4
6. Node Voltage Problems - Part 5
7. Node Voltage with Dependent Sources - Part 1
8. Node Voltage with Dependent Sources - Part 2
9. Node Voltage with Dependent Sources - Part 3
10. Introduction to the Mesh Current Method
11. Mesh Current Problems - Part 1
12. Mesh Current Problems - Part 2
13. Mesh Current Problems - Part 3
14. Mesh Current Problems - Part 4
15. Mesh Currents with Dependent Sources - Part 1
16. Mesh Currents with Dependent Sources - Part 2
17. Mesh Currents with Dependent Sources - Part 3
18. Mesh Currents with Dependent Sources - Part 4

Engineering Circuit Analysis - Part 3

1. Source Transformations - Part 1
2. Source Transformations - Part 2
3. Source Transformations - Part 3
4. Source Transformations - Part 4
5. Thevenin Equivalent Circuits - Part 1
6. Thevenin Equivalent Circuits - Part 2
7. Thevenin Equivalent Circuits - Part 3
8. Thevenin Equivalent Circuits - Part 4
9. Thevenin Equivalents with Depdendent Sources - Part 1
10. Thevenin Equivalents with Dependent Sources - Part 2
11. Thevenin Equivalents with Dependent Sources - Part 3
12. Norton Equivalent Circuits - Part 1
13. Norton Equivalent Circuits - Part 2
14. Norton Equivalent Circuits - Part 3
15. Maximum Power Transfer - Part 1
16. Maximum Power Transfer - Part 2
17. Maximum Power Transfer - Part 3
18. Superposition in Circuits - Part 1
19. Superposition in Circuits - Part 2

Engineering Circuit Analysis - Part 4

1. Voltage Across an Inductor - Part 1
2. Voltage Across an Inductor - Part 2
3. Current Through an Inductor - Part 1
4. Current Through an Inductor - Part 2
5. Power and Energy in an Inductor, Part 1
6. Power and Energy in an Inductor, Part 2
7. Power and Energy in an Inductor - Part 3
8. Current Through a Capacitor
9. Voltage, Power, and Energy Storage in a Capacitor
10. Capacitor Problems - Part 1
11. Capacitor Problems - Part 2
12. Inductors and Capacitors in Series and Parallel
13. Series and Parallel Circuits - Part 1
14. Series and Parallel Circuits - Part 1
15. Series and Parallel Circuits - Part 3
16. Series and Parallel Circuits - Part 4
17. Series and Parallel Circuits - Part 5

Engineering Circuit Analysis - Part 5

1. Introduction to Natural and Step Response
2. Natural Response of LR Circuits
3. Time Constant of LR Circuits
4. LR Natural Response Circuit Problems, Part 1
5. LR Natural Response Circuit Problems, Part 2
6. LR Natural Response Circuit Problems, Part 3
7. Natural Response of RC Circuits
8. RC Natural Response Circuit Problems, Part 1
9. RC Natural Response Circuit Problems, Part 2
10. Step Response of LR Circuits
11. LR Step Response Circuit Problem
12. Step Response of RC Circuits
13. RC Step Response Circuit Problem
14. General Solution of Step and Natural Response
15. Use General Form to Solve Problems

TI-84 / TI-83 Calculator

1. Overview of the Calculator
3. Basic Arithmetic and Exponents
4. Logarithms and Square Roots
5. Sin, Cos, Tan
6. Scientific Notation and Storing Variables
8. Convert between Fractions and Decimals
9. Finding the Min and Max of a Function
10. Calculating Derivatives and Integrals
11. Absolute Value, Rounding, and Integers
12. Converting between Degrees and Radians
13. Working with Complex Numbers
14. Using the Equation Solver
15. Graphing and Tracing Functions
16. Using Tables and Split Screen Modes
17. Find the Exact Value of a Function Using Graphing
18. Finding the Zeros of a Function using Graphing
19. Finding the Max and Min of a Function using Graphing
20. Finding Intersections of Functions using Graphing
21. Finding the Derivative of a Function by Graphing
22. Calculating the Definite Integral by Graphing
23. Drawing on a Graph
24. Graphing and Tracing Sequences
25. Graphing and Tracing Parametric Equations
26. Converting between Rectangular and Polar Coordinates
27. Graphing and Tracing Polar Equations
28. Permutations, Combinations, and Factorial
29. Working with Histograms and Box Plots
30. Graphing Statistical Scatter Plots
31. Calculating Mean, Median, Standard Deviation, and more
32. Performing Statistical Regression
33. Calculating with Matrices
34. Solving Systems of Equations with Matrices
35. Calculating Interest Rates
36. Calculating Mortgages and Loans
37. Calculating Savings and Investments

TI-89 Calculator - Part 1

1. Overview of the Calculator
3. The Catalog and Math Menu
4. Basic Arithmetic and Exponents
5. Calculating with Fractions
6. Logarithms and Square Roots
7. Sin, Cos, Tan, and other Trig Functions
8. Storing and Using Variables
9. User Defined Algebraic Functions
10. Using the Algebraic Equation Solver
11. Using the Numeric Equation Solver
12. Solving Systems of Equations
13. Solving Trigonometric Equations
14. Adding Rational Expressions and Partial Fractions Expansion
15. Multiplying and Dividing Polynomials
16. Factoring Polynomials
17. Converting Between Degrees and Radians
18. Simplifying Trigonometric Expressions
19. Working with Complex Numbers
20. Graphing Functions
21. Setting Graph Styles and Shading
22. Graphing Piecewise-Defined Functions
23. Graphing Trigonometric Functions
24. Graphing in Split Screen Mode
25. Saving and Recalling Graphs
26. Graph Zoom Modes and Tracing
27. Creating a Table of Values of a Function
28. Finding the Value of a Function in Graph Mode
29. Finding Zeros of Functions in Graph Mode
30. Finding Max and Min of a Function in Graph Mode
31. Finding Internts in Graph Mode
32. Finding the Derivative and Tangent Line in Graph Mode
33. Calculating the Definite Integral in Graph Mode
34. Finding Inflection Points in Graph Mode
35. Finding Distance Between Two Points in Graph Mode
36. Finding the Arc Length in Graph Mode

TI-89 Calculator - Part 2

1. Taking Derivatives of Functions
2. Taking Partial Derivatives
3. Calculating Indefinite and Definite Integrals
4. Calculating Limits in Calculus
5. Calculating Summations and Products
6. Calculating the Max and Min of a Function
7. Calculating Arc Length of a Function
8. Calculating Taylor and Maclaurin Polynomials
9. Implicit Differentiation [View Sample Lesson]
10. Working with Hyperbolic Functions
11. Converting between Rectangular and Polar Coordinates
12. Converting between Rectangular, Cylindrical, and Spherical Coordinates
13. Calculating with Vectors
14. Creating and Editing Matrices
15. Calculating with Matrices
16. Solving Systems of Equations with Matrices
17. Graphing Parametric Equations
18. Graphing Polar Equations
19. Graphing 3D Equations
20. Entering Statistical Data
21. Graphing Statistical Histograms
22. Graphing Statistical Box Plots
23. Graphing Statistical Scatter Plots
24. Analyzing One and Two Variable Statistical Data
25. Performing Statistical Regression Analysis
26. Solving Differential Equations
27. Solving Differential Equations with Initial Conditions
28. Graphing Solutions of Differential Equations