Table of Contents

1. Preliminary Review Topics
   1. Pythagorean Trigonometric Identity (1)
   2. Trig ID Movie (II)
   3. Trig ID Movie (III)
   4. Exponential Functions: Graphs
   5. Logarithmic Functions: Graphs
   6. Logarithmic Action!
   7. Logarithmic Action (2)!
   8. Logarithmic Action (3)!
   9. Logarithmic Action (4)!
   10. Logarithmic Action (4)! V2
   11. Logarithmic Action (3: V2)
2. Limits & Continuity
   1. Limits: Introductory Questions
   2. One CRAZY Limit !!!
   3. CRAZY FUNCTION!!!
   4. A tool to explore delta-epsilon understandings.
   5. Cont in uity
   6. IVT Dynamic Illustrator
   7. Continuity Questions
   8. Vertical Asymptote (Defined as a Limit)
   9. Horizontal Asymptote (Defined as a Limit)
   10. One Special Limit
   11. One Special Limit (V2)
3. Derivatives: Introduction & Intuition
   1. Average Velocity
   2. Average to Instantaneous (Intro)
   3. Sketch the Derivative (Warm Up)
   4. Intuitive Derivative Graphing Exercise
   5. Intuitive Derivative Graphing Exercise: REVAMPED!!!
   6. Drawing Derivatives
   7. Constructing Graphs of Derivative Functions (Intuitively)
   8. Average Rate of Change Intervals
   9. Average Rate of Change of a Function: Dynamic Illustration
   10. Average to Instantaneous Rate of Change
   11. Average Rate of Change vs. Instantaneous Rate of Change
   12. Derivative Function: Without Words
   13. Derivatives (Intro)-1
   14. Derivatives (Intro)-2
   15. Graphing The Derivative of a Function
   16. 3-Way Color-Changing Derivative Grapher
   17. When does f'(x) = f(x)?
   18. Mean Value Theorem
   19. Mean Value Theorem (Without Words)
   20. Mean Value Theorem: Quick Intuitive Tests
   21. Which is f, f', f'' ?
   22. Which is f, f', f''? Part 2 !!!
   23. Create a Function: Calculus
   24. Descartes' View of Tangents: Quick Overview
   25. Fermat Calculus Insight
   26. Sketching Derivatives of Freehand Drawn Functions
   27. Blank Templates: Sketch Your Own Function and Derivative Graphs
   28. Derivatives of Freehand Drawn Functions (via Locus Tool)
   29. Open Middle: Circle Tangent to Line (1)
4. Özel Fonksiyonların Türevleri & Türev Teknikleri
   1. Çarpımın Türevi
   2. Önemli Trigonometrik Sınırlar
   3. Sinüs Ve Kosinüs Fonksiyonlarının Türevi (Hızlı Araştırma)
   4. Tanjant Fonksiyonunun Türevi (Araştırma)
   5. Kapalı türev: Giriş
   6. Descartes'in Yaprak Eğrisi
   7. Kapalı Türev (Hızlı Kontrol)
   8. Arcsin Foksiyonunun Türevi
   9. Cosinüs Fonksiyonunun Tersinin Türevi
   10. Arktanjant Fonksiyonunun Türevi
   11. Ters Fonksiyonların Türevleri
   12. Doğal Logaritma Fonksiyonunun Türevi
   13. Açık Aralık Hesap Problemleri
   14. Kübik Teğet: Açık Orta Problemi
5. İlgili Oranlar & Fonksiyonların Doğrusallaştırılması
   1. İlgili Oranlar (1)
   2. İlgili Oranlar (2)
   3. Düşen Merdiven!!!
   4. İlgili Oranlar (3)
   5. İlgili Oranlar: Ayarlanabilir Sabit dh/dt'ye Sahip Koni
   6. Bir koni doldurma: dV/dt Sabit ve dh/dt Sabit
   7. İlgili Oranlar (Hareketli Arabalar Problemi)
   8. Doğrusallaştırma Illustrator (Calculus)
   9. Doğrusallaştırma Denetleyicisi (Calculus)
   10. Newton'un Yöntemi: Resimli
6. Kapalı Aralık Yöntemi & Optimizasyon Yöntemi
   1. Kapalı Aralık Yöntemi (Uygulama Problemi)
   2. Norman Penceresi: Değiştirilebilir Gezgin
   3. Optimizasyon: Bir Dikdörtgenin Alanı
   4. Noktadan Grafiğe Mesafe
   5. Marjinal Gelir, Maliyet, Kar: Analiz Problemi 1
   6. Bir Üçgenin Alanını Minimize Etmek
   7. Optimizasyon Problemi: Bir Çember Etrafında Çevrelenmiş İkizkenar Üçgen
   8. Optimizasyon - Kutu
   9. Yamuk Alanı Maksimize Etmek
   10. Optimizasyon Zorluğu 1
   11. Optimizasyon: Bir Dik Üçgenin İçinde Bir Dikdörtgenin Alanını Maksimize Etmek
   12. Bal Arısı Popülasyonu (Büyüme Hızı Sorusu)
   13. Petrol Boru Hattı Optimizasyon Problemi
   14. Küre İçinde Çizili Silindir
   15. Koni İçinde Çizili Silindir
   16. Dik Dairesel Bir Koninin İçinde Çizili Küre
   17. Çember Optimizasyonu Mücadelesi!
7. Riemann Sums; Indefinite and Definite Integrals
   1. Definite Integral Illustrator (I)
   2. Trapezoid: Area (I)
   3. Trapezoid: Area (2)
   4. Definite Integral Illustrator (II)
   5. Definite Integrals: Sum
   6. Open Middle: Definite Integral Problem
   7. Open Middle: Definite Integral Problem (2)
   8. What Makes a Function Even?
   9. What Makes a Function Odd?
   10. Odd Functions: Another Look (Take 2)!
   11. Parabolic Segment: Archimedes Insight
   12. Accumulations
   13. All Sums (Riemann Sums)
8. Areas and Volumes; Solids of Revolution & Non-Revolution
   1. U-Substitution (Definite Integrals)
   2. Areas Between Curves (Intro)
   3. Area Between Curves
   4. Area Between 2 Curves
   5. Rotating Function Graphs about the xAxis within GeoGebra AR
   6. Surface of Revolution: GeoGebra Augmented Reality Template
   7. Visualizing Volumes of Rotation
   8. Volume of Solid of Revolution about x-axis
   9. Disc Action!!!
   10. Disc Method: REVAMPED!
   11. Solids of Revolution (Discs)
   12. Custom Made Solid of Revolution
   13. Washer Action!!! (1)
   14. Washer Action !!! (2) - Calculus
   15. Washer Method: REVAMPED!
   16. Cylindrical Shells: REVAMPED!
   17. Cylindrical Shell Action!!! (1)
   18. Cylindrical Shell Action!!! (2)
   19. Calculus: Surface of Revolution formed by Rotating Area Between 2 Functions
   20. Arc Length to Surface of Revolution: Calculus
   21. Gabriel's Horn: Virtual Exploration in GeoGebra Augmented Reality
   22. Modifiable Solid: Isosceles Right Triangle Cross Sections Parallel to yAxis (VA)
   23. Modifiable Solid: Isosceles Right Triangle Cross Sections Parallel to yAxis (VB)
   24. Modifiable Solid: Equilateral Triangle Cross Sections Parallel to yAxis
   25. Toblerone Warm Up Modeling Question for Algebra, Geometry, AND Calculus!
   26. Building Surfaces with Cross Sections and Function Modeling
   27. Modifiable Solid: Isosceles Triangle (Modifiable) Cross Sections Parallel to yAxis
   28. Modifiable Solid: Square Cross Sections Parallel to yAxis
   29. Modifiable Solid: Rectangular Cross Sections Parallel to yAxis
   30. Custom Solid: Changeable Rhombus Cross Section Parallel to yAxis
   31. Modifiable Solid: Isosceles Trapezoid Cross Sections Parallel to yAxis
   32. Modifiable Solid: Regular Pentagon Cross Sections Parallel to yAxis
   33. Modifiable Solid: Regular Hexagon Cross Sections Parallel to yAxis
   34. Modifiable Solid: Regular Heptagon Cross Sections Parallel to yAxis
   35. Modifiable Solid: Regular Octagonal Cross Sections Parallel to yAxis
   36. Modifiable Solid: Regular Nonagon Cross Sections Parallel to yAxis
   37. Modifiable Solid: Regular Decagon Cross Sections Parallel to yAxis
   38. Modifiable Solid: Semicircular Cross Sections Parallel to yAxis
   39. Modifiable Solid: Parabolic Cross Sections Parallel to yAxis
   40. Custom Solid: Elliptical Cross Sections Parallel to yAxis
   41. Solids Formed From Certain Cross Sections
   42. Parabola Around y-Axis
   43. Parabola Rotated Around y-Axis Wireframe
   44. Parabola Rotated Around x-Axis
   45. Parabola Rotated Around x-Axis
   46. Solids of Revolution: Around the x-Axis
   47. Solids of Revolution: Around the y-Axis
   48. Solids of Revolution: Around y=6
   49. Calculus Solids
   50. V. of Solid NOT of Revolution
   51. Cross-Sections Perpendicular to x-Axis: Squares
   52. Cross-Sections Perpendicular to x-Axis: Equilateral Triangle
   53. Cross-Sections Perpendicular to x-Axis: Right Triangles
   54. Cross-Sections Perpendicular to x-Axis: Rectangles
   55. Areas & Volumes: Culminating Activity
   56. Custom Solid: Cross Sections Parallel to yAxis are Quadrilaterals Always Similar to the Base
   57. Surface with Square Cross Sections
9. Average Value and Arc Length
   1. Average Value of a Function
   2. Arc Length (Calculus)
10. Integration Techniques
    1. Apex Section 6.1-Integration using substitution
    2. Sine & Cosine of a Sum: Discovery
    3. Partial Fraction Decomposition Calculator
11. Differential Equations
    1. Slope Field
    2. Copy of Slope Fields.
    3. Euler's Method
    4. Quiz: Writing Exponential Growth & Decay Functions
    5. Exponential Growth vs. Decay (Intro)
    6. Newton's Law of Cooling
    7. Logistic Growth Function
12. Sequences & Series
    1. Sequences (Dynamic Illustrator)
    2. Convergent or Divergent Series
    3. Sum of Infinite Geometric Series
    4. Partial Sums Alternating Series
    5. Integral Test for Series
    6. Taylor Polynomials
13. Parametric Equations
    1. Parametric Path on a Number Line
    2. Parametric Path
    3. Parametric Equations (I)
    4. Parametric Equations Grapher
    5. Parametric Equations: dy/dx (Ex 1)
    6. Cycloid Animation!
14. Polar Coordinates
    1. Trig Function Values (30 Degrees)
    2. Trig Function Values (45 Degrees)
    3. Trig Function Values (60 Degrees)
    4. Special Angles in Standard Position: Intro (V1)
    5. Special Angles in Standard Position: Intro (V2)
    6. Special Angles in Standard Position: Intro (V3)
    7. Polar Coordinates: Introduction
    8. Writing Equivalent Polar Coordinates: Quiz
    9. Polar Function Grapher
    10. Derivatives in Polar Coordintes
    11. Areas with Polar Coordinates
    12. Area Between 2 Polar Graphs
    13. Arc Length in Polar Coordintes
15. Multivariable Calculus Topics
    1. Plotting Points in 3D: Dynamic Illustrator
    2. Plotting Points in 3 Space
    3. Writing Ordered Triples
    4. 3D BATTLESHIP !!!
    5. Cylindrical Coordinates: Dynamic Illustrator
    6. Spherical Coordinates: Dynamic Illustrator
    7. Partial Derivatives: Graphical Illustrator
    8. Sphere Investigation
    9. Circular Paraboloid of Revolution
    10. Animation 111
    11. Special Spheroid Action: Locus Illustration
    12. Animation 112
    13. Special Hyperboloid of 1 Sheet as a Locus
    14. Special Hyperboloid of 2 Sheets as a Locus
    15. Catenoid
    16. Crazy Slide!