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turksvids

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Level 11 in Algebra Level 10 in Calculus Level 9 in Trigonometry Level 8 in Precalculus Level 2 in Geometry
Activity Videos 368 Answers 13 Edits

Calculus

  1. 1

    Limits

    1. Determining Limits Algebraically
      1. Algebra for Limits - Rationalize the Numerator
      2. Algebra for Limits - Binomial Expansions
      3. Algebra for Limits - Simplifying Complex Fractions: Common Denominator
      4. Limit Examples with Factoring
    2. Intemediate Value Theorem
      1. Using the Intermediate Value Theorem Examples
  2. 2

    Basic Differentiation Rules

    1. Proof of the Product Rule
      1. Proof of Product Rule
    2. Quotient Rule
      1. Proof of Quotient Rule
    3. Proof of Quotient Rule
      1. Proof of Quotient Rule
    4. Implicit Differentiation
      1. Implicit Differentiation - Vertical and Horizontal Tangents
      2. Second Derivative of an Implicit Function
      3. Implicit Differentiation Examples
      4. Implicit Differentiation on the TI-Nspire CAS
    5. Summary of Differentiation Rules
      1. Derivative Rules Review
  3. 3

    Differentiating Trigonometric Functions

    1. Differentiating Inverse Trigonometric Functions
      1. Derivatives of the Inverse Trig Functions
  4. 4

    Differentiating Logarithmic Functions

    1. Differentiating Logarithmic Functions without Base e
      1. Derivatives of Logs in Other Bases
  5. 5

    Graphing with the First Derivative

    1. Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)
      1. Relating First Derivative to Function - Part 1
      2. Relating First Derivative to Function - Part 2
    2. Mean Value Theorem for Continuous Functions
      1. Using the Mean Value Theorem with a Table of Values
  6. 6

    Applications of Derivatives

    1. Solving Optimization Problems
      1. Optimization - Minimum time to Swim and Walk to Town
    2. Using Implicit Differentiation to Solve Related Rates Problems
      1. Related Rates - The Shadow Problem
      2. Related Rates - Filling a Cone Problem
      3. Related Rates - Sliding Ladder Problem
      4. Related Rates - Isosceles Triangle Trough Problem
      5. Related Rates - Trapezoidal Trough Problem
  7. 7

    Introduction to Integration

    1. Integrals of Polynomial functions
      1. Finding Integrals by Reversing the Power Rule
    2. Integrals of Trigonometric Functions
      1. Integrating Even Powers of Sine and Cosine
      2. Integrating Products of Sines and Cosines
    3. Integrals of Exponential Functions
      1. Integrals of Exponentials
  8. 8

    Techniques of Integration

    1. Integration by Substitution
      1. Integrals by u-substitution
      2. More u-substitution Examples (Do in your head!)
      3. Tricky u-substitution Example 1
      4. Tricky u-substitution Example 2
    2. Integration by Parts
      1. Integration by Parts - Some basic examples.
      2. Integration by Parts - Slightly more advanced examples.
      3. Integration by Parts - An example that loops.
      4. Integral of Secant Cubed
      5. Integral of Arcsine
    3. Integration by Trigonometric Substitution
      1. Integrals by Trig Substitution Examples
      2. Integral by Trig Substitution Example (Challenging)
    4. Integral by Partial Fractions
      1. Partial Fractions (Non-Repeating Linear Factors)
      2. Partial Fractions (Repeated Linear Factors)
      3. Partial Fractions (Quadratic Factors)
  9. 9

    Methods of Approximating Integrals

    1. RAM (Rectangle Approximation Method/Riemann Sum)
      1. Riemann Sums - Right, Left, and Midpoint
      2. Limit of a Riemann Sum
    2. Integration Using Euler's Method
      1. Euler's Method on TI-Nspire
      2. Doing Euler's Method in a Spreadsheet on the TI-Nspire
  10. 10

    Applications of Definite Integrals

    1. Solving Separable Differential Equations
      1. Separable Differential Equation (Natural Logs)
      2. Finding Constants for Exponential Function
    2. Slope Fields
      1. Slope Fields on TI-Nspire
    3. Logistic Growth Models
      1. Logistic Differential Equation - Properties and Example
      2. Logistic Differential Equation - Finding the Solution
    4. Determining the Volume of a Solid of Revolution
      1. Volumes with Known Cross-Sections
      2. Volume by Shells - Part 1
      3. Volume by Shells - Part 2
      4. Volume of Revolution by Disks and Washers Concept
      5. Volume of Revolution (Disks/Washers) Examples - Horizontal Axis
      6. Volume of Revolution (Disks/Washers) Examples - Vertical Axis
  11. 11

    Parametric Functions

    1. Derivative of Parametric Functions
      1. Second Derivative of Parametric Equations
  12. 12

    Polar Curves

    1. Introduction to Polar Coordinates
      1. Polar Graphing 1 - Rose Curve (Sine)
      2. Polar Graphing 2 - Rose Curve (Cosine)
      3. Polar Graphing 3 - Limacon (Cosine)
      4. Calculus Polar Area Concept
      5. Calculus Polar Area Rose Curve Example
      6. Calculus Polar Areas Limacon Example
      7. Calculus Polar Area Region Between Curves Example
    2. Calculating Polar Areas
      1. Calculus Polar Area Concept
      2. Calculus Polar Area Rose Curve Example
      3. Calculus Polar Areas Limacon Example
      4. Calculus Polar Area Region Between Curves Example
      5. Polar Area Traced Out
      6. Polar Areas TI-Nspire
  13. 13

    Tests of Convergence / Divergence

    1. Geometric Series
      1. Geometric Series Summing to Functions
    2. Integral Test for Convergence of an Infinite Series
      1. Series Tests - The Integral Test
    3. Alternating Series Test (Leibniz's Theorem) for Convergence of an Infinite Series
      1. Alternating Series Test and Error for Alternating Series
    4. Limit Comparison Test for Convergence of an Infinite Series
      1. Series Tests - Limit Comparison Test
    5. Ratio Test for Convergence of an Infinite Series
      1. Series Tests - The Ratio Test
      2. Ratio Test with TI-Nspire CAS
  14. 14

    Power Series

    1. Constructing a Taylor Series
      1. Taylor Polynomials from Taylor's Formula
      2. Taylor Polynomial Problem
      3. Taylor Series to Memorize

Precalculus

  1. 1

    Functions Defined and Notation

    1. Function Composition
      1. Domains of Compositions
  2. 2

    Linear and Quadratic Functions

    1. Graphing Quadratic Functions
      1. Quadratic Given Vertex and Point
      2. Quadratic Through Three Points
      3. Writing Quadratic Functions in Vertex Form
    2. Linear and Quadratic Functions on a Graphing Calculator
      1. TI-Nspire - First Time Graphing
      2. TI-Nspire - First Time Graphing (Part 2)
  3. 3

    Polynomial Functions of Higher Degree

    1. End Behavior
      1. Polynomials, Graphs, and End Behavior
  4. 4

    Real Zeros of Polynomials

    1. Long Division of Polynomials
      1. Polynomial Long Division
  5. 5

    Graphing Rational Functions

    1. Transformations of the Reciprocal Function
      1. Graphing a Reciprocal Function
      2. Rational Functions - How to Graph
      3. Rational Functions - Graphing Examples
    2. Limits - End Behavior and Asymptotes
      1. Rational Functions - Discontinuities
      2. Rational Functions - Vertical and Horizontal Asymptotes
      3. Rational Functions - Slant Asymptotes
      4. Rational Functions - Asymptotes and Limits at Infinity
  6. 6

    Graphs of Trigonometric Functions

    1. Graphing Sine and Cosine
      1. Graphing Sine and Cosine Functions
  7. 7

    Dot Product of Vectors

    1. Angle between Vectors
      1. Dot Product and the Angle Between Vectors
    2. Vector Projection
      1. Resolving a Vector into Perpendicular Components
  8. 8

    Polar Coordinates

    1. The Polar Coordinate System
      1. Polar Coordinates Introduction and Equations of Lines
    2. Rose Curves
      1. Polar Graphing 1 - Rose Curve (Sine)
      2. Polar Graphing 2 - Rose Curve (Cosine)
    3. Limacon Curves
      1. Polar Graphing 3 - Limacon (Cosine)
  9. 9

    Complex Numbers in Trigonometric Form

    1. Multiplication of Complex Numbers
      1. Multiplying Complex Numbers
    2. Division of Complex Numbers
      1. Dividing Complex Numbers of the form a + bi
    3. Roots of Complex Numbers
      1. Finding the nth Roots of a Complex Number
      2. Examples of nth Roots of Complex Numbers
  10. 10

    Matrix Algebra

    1. Cramer's Rule
      1. Cramer's Rule
  11. 11

    Systems of Inequalities in Two Variables

    1. Linear Programming
      1. Linear Programming Example
      2. Looking at a Linear Programming Example
  12. 12

    Geometry of a Parabola

    1. Identify Critical Points
      1. Conic Section - Parabola
      2. Parabola Construction from Focus and Directrix
  13. 13

    Geometry of an Ellipse

    1. Graphing Ellipses
      1. Conic Section - Ellipse
  14. 14

    Geometry of a Hyperbola

    1. Graphing Hyperbolas
      1. Hyperbola - Graphing from Equation
      2. Hyperbola - Converting General Form to Standard Form and Graphing
  15. 15

    Translation and Rotation of Axis

    1. Graphing Conic Sections on a Graphing Calculator
      1. TI-Nspire Graphing Conic Sections 1
      2. TI-Nspire Graphing Conic Sections 2
  16. 16

    3-D Cartesian Coordinate System

    1. Planes
      1. Equation of a Plane (The concept behind it.)
      2. Equation of a Plane Through Three Points (No Cross Product)
      3. Equation of a Plane through Three Points
      4. Finding Equation of a Plane Examples
  17. 17

    The Binomial Theorem

    1. Powers of the Binomial
      1. Algebra for Limits - Binomial Expansions
  18. 18

    Sequences

    1. Arithmetic Sequences
      1. Arithmetic Sequences - Definition and Writing Sequences
      2. Arithmetic Sequences More Examples
      3. Formula for nth Term of Arithmetic Sequence
    2. Geometric Sequences
      1. Formula for nth Term of Geometric Sequence
  19. 19

    Series

    1. Sums of Arithmetic Sequences
      1. Sum of Arithmetic Sequence (Arithmetic Series)
    2. Sums of Geometric Sequences
      1. Finite Geometric Series Sum

Trigonometry

  1. 1

    Right Triangles

    1. The Pythagorean Theorem
      1. Pythagorean Theorem Basics
    2. Special Right Triangles
      1. Special Right Triangles
    3. Trigonometric Functions of Any Angle
      1. Rewriting Trig Functions of Angles
  2. 2

    Graphing Trigonometric Functions

    1. Translating Sine and Cosine Functions
      1. Graphing Sine and Cosine Functions
    2. General Sinusoidal Graphs
      1. Graphing Sine and Cosine Functions
    3. Graphing Tangent, Cotangent, Secant, and Cosecant
      1. Graphing Cosecant and Secant Functions
      2. Graphing Tangent and Cotangent Functions
  3. 3

    Trigonometric Identities and Equations

    1. Proving Identities
      1. Verifying/Proving Trig Identities (Part 1)
      2. Verifying/Proving Trig Identities (Part 2)
      3. Verifying/Proving Trig Identities (Part 3)
      4. Verifying/Proving Trig Identities (Part 4)
      5. Verifying Some Harder Trig Identities
      6. Yet Another Hard Trig Identity (3 terms over 3 terms)
      7. Still Another Hard Trig Identity
    2. Solving Trigonometric Equations
      1. Solving Trig Equations - Algebra Techniques
      2. Solving Trig Equations - Nice Angles
      3. Solving Trig Equations - Not Nice Angles
      4. Graphically Solving Trig Equations on TI-Nspire
      5. Solving Trig Equations on the TI-Nspire CAS
    3. Products, Sums, Linear Combinations, and Applications
      1. Rewriting A*sinx + B*cosx using cosine sum and difference
  4. 4

    Inverse Trigonometric Functions

    1. Basic Inverse Trigonometric Functions
      1. Inverse Sine - Evaluating and the Unit Circle
    2. Graphing Inverse Trigonometric Functions
      1. Inverse Sine - Graph and where it comes from
  5. 5

    Triangles and Vectors

    1. The Law of Cosines
      1. Deriving the Law of Cosines
      2. Law of Cosines Example: Side Angle Side
      3. Law of Cosines Example: Side-Side-Side
    2. Area of a Triangle
      1. Heron's Formula
      2. Heron's Formula on the TI-Nspire using Math Boxes
    3. The Law of Sines
      1. Ambiguous Case of the Law of Sines
      2. Law of Sines Ambiguous Case Example
    4. The Ambiguous Case
      1. Ambiguous Case of the Law of Sines
      2. Law of Sines Ambiguous Case Example
      3. Another Approach to the Ambiguous Case
    5. Vectors
      1. Adding and Subtracting Vectors by Drawing
  6. 6

    The Polar System

    1. Polar Coordinates
      1. Polar Coordinates Introduction and Equations of Lines
      2. Polar Graphing on TI-Nspire
    2. Graphing Basic Polar Equations
      1. Polar Graphing 1 - Rose Curve (Sine)
      2. Polar Graphing 2 - Rose Curve (Cosine)
      3. Polar Graphing 3 - Limacon (Cosine)
      4. Polar Graphs from Rectangular Graphs
      5. Polar Graphing on TI-Nspire
      6. Combine Polar and Parametric on TI-Nspire
    3. The Trigonometric Form of Complex Numbers
      1. Distance Between Complex Numbers in Trig Form
    4. De Moivre’s and the nth Root Theorems
      1. Finding the nth Roots of a Complex Number
      2. Examples of nth Roots of Complex Numbers

Algebra

  1. 1

    Forms of Linear Equations

    1. Linear Equations in Point-Slope Form
      1. Point-Slope Form of a Line
  2. 2

    Systems of Equations and Inequalities

    1. Systems Using Substitution
      1. Solving Linear Systems - Substitution 1
      2. Solving Linear Systems - Substitution 2
      3. Solving Linear Systems - Substitution 3
    2. Mixture Problems
      1. Algebra Mixture Problems
    3. Linear Systems with Addition or Subtraction
      1. Solving a System of 3 Equations with 3 Unknowns
  3. 3

    Quadratic Equations and Functions

    1. Vertex Form of a Quadratic Equation
      1. Quadratic Function Given Vertex and Point
      2. Quadratic Given Vertex and Point
  4. 4

    Rational Equations and Functions

    1. Addition and Subtraction of Rational Expressions
      1. Adding and Subtracting Rational Expressions

Geometry

  1. 1

    Circles

    1. Equation of a Circle
      1. Equation of a Circle Through Three Points
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