• Home
  • SPH 4U
    • Take me to the SPH4U Solutions Page!
    • Part 1: 2-D Kinematics >
      • The Kinematics Equations
      • Projectile Motion
      • Targeting with Speed
      • Targeting with Angles
      • Momentum & 1D Inelastic Collision
      • 1D Completely Elastic Collision
      • 2D Completely Inelastic Collision
      • 2D Kinematics Practice Test
    • Part 2: Mechanics >
      • An Object on a Ramp
      • Twice the Ramps, Twice the Fun!
      • Centripetal Force
      • Space Tubes!
      • The Carousel of DOOM
      • 2D Mechanics Practice Test
    • Part 3: Fun in Space! >
      • Universal Gravitation & Escape Velocity
      • Kepler's Law
      • Ellipses!
      • Hill Radius & "To the Moon!"
      • Space Task! (Part 1)
      • Fun in Space Practice Test
    • Part 4: Math in Space! >
      • Barycentre
      • Tidal Bulge
      • Gravitational Field
      • Life on Enceladus
      • Space Tractors!
      • Space Task! (Part 2)
      • Math in Space Practice Test
    • Part 5: Wave Properties >
      • Features of Waves
      • Refraction and Snell's Law
      • Wave Properties Practice Test
    • Part 6: Stuff Gets Weird >
      • The Speed of Light...
      • ...and Special Relativity
      • Mass / Energy Equivalence
      • Fission & Fusion
      • Generating a Nuclear Decay Series
      • Stuff gets Weird Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • 1. The Differential Operator
      • 2. The Power, and Product Rules
      • 3. Derivatives of Sine and Cosine
      • 4. Euler's Number (Exponentials & Logarithms)
      • 5. The Chain Rule
      • 6. Managing Product & Chain Rule
      • 8. Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Equations of Tangents
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MHF 4U
    • Take me to the MHF4U Solutions Page!
    • Take me to the MHF4U Function Catalogue! >
      • Powers and Radicals
      • The Rational Operator
      • Exponentials and Logarithms
      • Sine and Cosine
    • Part 0: Independent Study (MHF) >
      • MHF ISA >
        • Arclength and Radians
        • CAST Rule (Radians)
        • CAST for Any Arc
        • Arcs, Radians and CAST Practice Test
      • MHF ISB >
        • Factoring Trigonometric Expressions
        • Fancy Factoring Trigonometric Expressions
        • Common Denominators for Trigonometric Expressions
        • The Pythagorean Identities
      • MHF ISC >
        • Double Angle Identities for Sine
        • Double Angle Identities for Cosine
        • Reducing Double Angle Expressions
        • MHF ISC Practice Test
      • MHF ISD >
        • Factoring Other Functions
        • Fancy Factoring Other Functions
        • Common Denominators for Other Functions
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Rates of Change & Tangents
      • Translations, Transformations & Rates Practice Test
    • Part 4: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 5: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • Home
  • SPH 4U
    • Take me to the SPH4U Solutions Page!
    • Part 1: 2-D Kinematics >
      • The Kinematics Equations
      • Projectile Motion
      • Targeting with Speed
      • Targeting with Angles
      • Momentum & 1D Inelastic Collision
      • 1D Completely Elastic Collision
      • 2D Completely Inelastic Collision
      • 2D Kinematics Practice Test
    • Part 2: Mechanics >
      • An Object on a Ramp
      • Twice the Ramps, Twice the Fun!
      • Centripetal Force
      • Space Tubes!
      • The Carousel of DOOM
      • 2D Mechanics Practice Test
    • Part 3: Fun in Space! >
      • Universal Gravitation & Escape Velocity
      • Kepler's Law
      • Ellipses!
      • Hill Radius & "To the Moon!"
      • Space Task! (Part 1)
      • Fun in Space Practice Test
    • Part 4: Math in Space! >
      • Barycentre
      • Tidal Bulge
      • Gravitational Field
      • Life on Enceladus
      • Space Tractors!
      • Space Task! (Part 2)
      • Math in Space Practice Test
    • Part 5: Wave Properties >
      • Features of Waves
      • Refraction and Snell's Law
      • Wave Properties Practice Test
    • Part 6: Stuff Gets Weird >
      • The Speed of Light...
      • ...and Special Relativity
      • Mass / Energy Equivalence
      • Fission & Fusion
      • Generating a Nuclear Decay Series
      • Stuff gets Weird Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • 1. The Differential Operator
      • 2. The Power, and Product Rules
      • 3. Derivatives of Sine and Cosine
      • 4. Euler's Number (Exponentials & Logarithms)
      • 5. The Chain Rule
      • 6. Managing Product & Chain Rule
      • 8. Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Equations of Tangents
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MHF 4U
    • Take me to the MHF4U Solutions Page!
    • Take me to the MHF4U Function Catalogue! >
      • Powers and Radicals
      • The Rational Operator
      • Exponentials and Logarithms
      • Sine and Cosine
    • Part 0: Independent Study (MHF) >
      • MHF ISA >
        • Arclength and Radians
        • CAST Rule (Radians)
        • CAST for Any Arc
        • Arcs, Radians and CAST Practice Test
      • MHF ISB >
        • Factoring Trigonometric Expressions
        • Fancy Factoring Trigonometric Expressions
        • Common Denominators for Trigonometric Expressions
        • The Pythagorean Identities
      • MHF ISC >
        • Double Angle Identities for Sine
        • Double Angle Identities for Cosine
        • Reducing Double Angle Expressions
        • MHF ISC Practice Test
      • MHF ISD >
        • Factoring Other Functions
        • Fancy Factoring Other Functions
        • Common Denominators for Other Functions
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Rates of Change & Tangents
      • Translations, Transformations & Rates Practice Test
    • Part 4: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 5: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test

MCV 4U: Calculus and Vectors
(Quad 4, 2020/21)

Take me to the MCV4U Solutions Page!

Part 0: Vectors Independent Study
April 21st to June 15th
Access the Content and Timeline here...

Test Dates:
Part A: May 3rd
Part B: May 17th
Part C: May 31st

Independent Study Exam
June 14th & 15th


Part 1: Taking the Derivative

April 21st
The Differential Operator
The Power, and Product Rules
Derivatives of Sine and Cosine
Euler's Number (Exponentials & Logarithms)
April 22nd
The Chain Rule
Managing Product & Chain Rule
Product, Chain, or Both?
Test Date for Part 1:
April 23rd
Derivatives Practice Test

Part 2: Analysis and Sketching
May 4th
Determining the Vertical Asymptotes and Max / Min
Determining the Points of Inflection
May 5th
Determining the Intercepts of Composite Functions
Beware the Domain Error
Determining the End Behaviour
May 6th
Curve Sketching
Test Date for Part 2:
May 7th
Curve Sketching Practice Test

Part 3: Applications of Calculus
May 18th
Implicit Differentiation
Related Rates
May 19th
Optimization
May 20th
Equations of Tangents

Test Date for Part 3:
May 21st
Applications of Derivatives Practice Test

Part 4: Integration
June 1st
Intro to Integration
Substitution for Integration
June 2nd
Integration by Parts
The Area under Curves

Test Date for Part 4:
June 3rd
Integration Practice Test



J. McDonald 2021
Mathemanomicon.ca
  • Home
  • SPH 4U
    • Take me to the SPH4U Solutions Page!
    • Part 1: 2-D Kinematics >
      • The Kinematics Equations
      • Projectile Motion
      • Targeting with Speed
      • Targeting with Angles
      • Momentum & 1D Inelastic Collision
      • 1D Completely Elastic Collision
      • 2D Completely Inelastic Collision
      • 2D Kinematics Practice Test
    • Part 2: Mechanics >
      • An Object on a Ramp
      • Twice the Ramps, Twice the Fun!
      • Centripetal Force
      • Space Tubes!
      • The Carousel of DOOM
      • 2D Mechanics Practice Test
    • Part 3: Fun in Space! >
      • Universal Gravitation & Escape Velocity
      • Kepler's Law
      • Ellipses!
      • Hill Radius & "To the Moon!"
      • Space Task! (Part 1)
      • Fun in Space Practice Test
    • Part 4: Math in Space! >
      • Barycentre
      • Tidal Bulge
      • Gravitational Field
      • Life on Enceladus
      • Space Tractors!
      • Space Task! (Part 2)
      • Math in Space Practice Test
    • Part 5: Wave Properties >
      • Features of Waves
      • Refraction and Snell's Law
      • Wave Properties Practice Test
    • Part 6: Stuff Gets Weird >
      • The Speed of Light...
      • ...and Special Relativity
      • Mass / Energy Equivalence
      • Fission & Fusion
      • Generating a Nuclear Decay Series
      • Stuff gets Weird Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • 1. The Differential Operator
      • 2. The Power, and Product Rules
      • 3. Derivatives of Sine and Cosine
      • 4. Euler's Number (Exponentials & Logarithms)
      • 5. The Chain Rule
      • 6. Managing Product & Chain Rule
      • 8. Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Equations of Tangents
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MHF 4U
    • Take me to the MHF4U Solutions Page!
    • Take me to the MHF4U Function Catalogue! >
      • Powers and Radicals
      • The Rational Operator
      • Exponentials and Logarithms
      • Sine and Cosine
    • Part 0: Independent Study (MHF) >
      • MHF ISA >
        • Arclength and Radians
        • CAST Rule (Radians)
        • CAST for Any Arc
        • Arcs, Radians and CAST Practice Test
      • MHF ISB >
        • Factoring Trigonometric Expressions
        • Fancy Factoring Trigonometric Expressions
        • Common Denominators for Trigonometric Expressions
        • The Pythagorean Identities
      • MHF ISC >
        • Double Angle Identities for Sine
        • Double Angle Identities for Cosine
        • Reducing Double Angle Expressions
        • MHF ISC Practice Test
      • MHF ISD >
        • Factoring Other Functions
        • Fancy Factoring Other Functions
        • Common Denominators for Other Functions
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Rates of Change & Tangents
      • Translations, Transformations & Rates Practice Test
    • Part 4: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 5: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • Home
  • SPH 4U
    • Take me to the SPH4U Solutions Page!
    • Part 1: 2-D Kinematics >
      • The Kinematics Equations
      • Projectile Motion
      • Targeting with Speed
      • Targeting with Angles
      • Momentum & 1D Inelastic Collision
      • 1D Completely Elastic Collision
      • 2D Completely Inelastic Collision
      • 2D Kinematics Practice Test
    • Part 2: Mechanics >
      • An Object on a Ramp
      • Twice the Ramps, Twice the Fun!
      • Centripetal Force
      • Space Tubes!
      • The Carousel of DOOM
      • 2D Mechanics Practice Test
    • Part 3: Fun in Space! >
      • Universal Gravitation & Escape Velocity
      • Kepler's Law
      • Ellipses!
      • Hill Radius & "To the Moon!"
      • Space Task! (Part 1)
      • Fun in Space Practice Test
    • Part 4: Math in Space! >
      • Barycentre
      • Tidal Bulge
      • Gravitational Field
      • Life on Enceladus
      • Space Tractors!
      • Space Task! (Part 2)
      • Math in Space Practice Test
    • Part 5: Wave Properties >
      • Features of Waves
      • Refraction and Snell's Law
      • Wave Properties Practice Test
    • Part 6: Stuff Gets Weird >
      • The Speed of Light...
      • ...and Special Relativity
      • Mass / Energy Equivalence
      • Fission & Fusion
      • Generating a Nuclear Decay Series
      • Stuff gets Weird Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • 1. The Differential Operator
      • 2. The Power, and Product Rules
      • 3. Derivatives of Sine and Cosine
      • 4. Euler's Number (Exponentials & Logarithms)
      • 5. The Chain Rule
      • 6. Managing Product & Chain Rule
      • 8. Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Equations of Tangents
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MHF 4U
    • Take me to the MHF4U Solutions Page!
    • Take me to the MHF4U Function Catalogue! >
      • Powers and Radicals
      • The Rational Operator
      • Exponentials and Logarithms
      • Sine and Cosine
    • Part 0: Independent Study (MHF) >
      • MHF ISA >
        • Arclength and Radians
        • CAST Rule (Radians)
        • CAST for Any Arc
        • Arcs, Radians and CAST Practice Test
      • MHF ISB >
        • Factoring Trigonometric Expressions
        • Fancy Factoring Trigonometric Expressions
        • Common Denominators for Trigonometric Expressions
        • The Pythagorean Identities
      • MHF ISC >
        • Double Angle Identities for Sine
        • Double Angle Identities for Cosine
        • Reducing Double Angle Expressions
        • MHF ISC Practice Test
      • MHF ISD >
        • Factoring Other Functions
        • Fancy Factoring Other Functions
        • Common Denominators for Other Functions
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Rates of Change & Tangents
      • Translations, Transformations & Rates Practice Test
    • Part 4: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 5: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test