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
2D Completely Inelastic Collision
1D Completely Elastic 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!"
Part 4: Math in Space!
>
Barycentre
Tidal Bulge
Gravitational Field
Space Tractors!
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
Photons
Debroglie Wavelength
Stuff gets Weird Practice Test
Part 7: Electromagnetism
>
Electrostatic Force & Energy
Bohr Radius
Net Electric Field
Parallel Plates
Magnetic Fields
Magnetic Force on a Moving Charge
Electromagnetism 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
>
The Differential Operator
The Power, and Product Rules
Derivatives of Sine and Cosine
Euler's Number (Exponentials & Logarithms)
The Chain Rule
Managing Product & Chain Rule
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
>
Equations of Tangents
Newton's Method
Implicit Differentiation
Related Rates
Optimization
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
2D Completely Inelastic Collision
1D Completely Elastic 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!"
Part 4: Math in Space!
>
Barycentre
Tidal Bulge
Gravitational Field
Space Tractors!
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
Photons
Debroglie Wavelength
Stuff gets Weird Practice Test
Part 7: Electromagnetism
>
Electrostatic Force & Energy
Bohr Radius
Net Electric Field
Parallel Plates
Magnetic Fields
Magnetic Force on a Moving Charge
Electromagnetism 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
>
The Differential Operator
The Power, and Product Rules
Derivatives of Sine and Cosine
Euler's Number (Exponentials & Logarithms)
The Chain Rule
Managing Product & Chain Rule
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
>
Equations of Tangents
Newton's Method
Implicit Differentiation
Related Rates
Optimization
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
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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
2D Completely Inelastic Collision
1D Completely Elastic 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!"
Part 4: Math in Space!
>
Barycentre
Tidal Bulge
Gravitational Field
Space Tractors!
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
Photons
Debroglie Wavelength
Stuff gets Weird Practice Test
Part 7: Electromagnetism
>
Electrostatic Force & Energy
Bohr Radius
Net Electric Field
Parallel Plates
Magnetic Fields
Magnetic Force on a Moving Charge
Electromagnetism 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
>
The Differential Operator
The Power, and Product Rules
Derivatives of Sine and Cosine
Euler's Number (Exponentials & Logarithms)
The Chain Rule
Managing Product & Chain Rule
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
>
Equations of Tangents
Newton's Method
Implicit Differentiation
Related Rates
Optimization
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
2D Completely Inelastic Collision
1D Completely Elastic 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!"
Part 4: Math in Space!
>
Barycentre
Tidal Bulge
Gravitational Field
Space Tractors!
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
Photons
Debroglie Wavelength
Stuff gets Weird Practice Test
Part 7: Electromagnetism
>
Electrostatic Force & Energy
Bohr Radius
Net Electric Field
Parallel Plates
Magnetic Fields
Magnetic Force on a Moving Charge
Electromagnetism 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
>
The Differential Operator
The Power, and Product Rules
Derivatives of Sine and Cosine
Euler's Number (Exponentials & Logarithms)
The Chain Rule
Managing Product & Chain Rule
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
>
Equations of Tangents
Newton's Method
Implicit Differentiation
Related Rates
Optimization
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