• Home
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • 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
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites 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
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)
  • Home
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • 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
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites 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
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)

MHF 4U: Advanced Functions
(Spring 2022)


Looking for the SOLUTIONS to the Practice Problems?? 
Take me to the MHF4U Solutions Page!


Last Week:

February 20th

Family Day :)

February 21st
Start Part Two:
BFDMAS


February 22nd

Practice Problems


February 23rd

Linear Algebra
Practice Problems


February 24th




This Week:

February 27th
I.S.U. A:
Arclength and Radians
February 28th

Multiple Answers



March 1st

Practice Problems

March 2nd

Sometimes it
Doesn't Work...




March 3rd

Practice Problems

March  6th
I.S.U. A:
CAST for Any Arc

March 7th

Finding Intercepts


March 8th

Practice Problems


March 9th
End Part Two:
Working w Functions Practice Test


March 10th

Working w Functions
Test




A Glimpse into Your FUTURE !!

March 20th
I.S.U. A:
CAST Rule (Radians)

March 21st

Practice Problems
March 22nd

Practice Problems
March 23rd
End I.S.U. A:
Arcs, Radians, CAST Practice Test
March 24th

Arcs, Radians, CAST
Test



March 27th
I.S.U. B:
Factoring Trig

March 28th
Start Part Three:
Translations

March 29th

Practice Problems
March 30th

Transformations

March 31st

Practice Problems


April 3rd
I.S.U. B:
Fancy Factoring Trig

April 4th

Sketch-o-thon


April 5th

Practice Problems

April 6th

Domain and Range


April 7th

Practice Problems


April 10th
I.S.U. B:
Denominators for Trigonometry


April 11th

Practice Problems


April 12th
End Part Three:
Translations & Transformations
Practice Test



April 13th

Sketching Functions
Test

April 14th

Good Friday
:)


April 17th

Easter Monday
:)


April 18th
I.S.U. B:
Pythagorean Identities
April 19th

Practice Problems

April 20th
Midterm Reports


April 21st

Practice Problems


April 24th
End I.S.U. B:
Working with Trig Practice Quiz


April 25th

Working with Trig
Test



April 26th
Start Part Four:
Average
Rate of Change



April 27th

Instantaneous
Rate of Change



April 28th

Practice Problems



May 1st

Practice Problems
May 2nd

Equations of Tangents

May 3rd

Practice Problems
May 4th
End Part Four:
Rates of Change Practice Test


May 5th

Rates of Change
Test



May 8th
I.S.U. C:
Double Angle Identities for Cosine

May 9th
Start Part Five:
Polynomial Long Division

May 10th

Practice Problems

May 11th

Sketching Polynomials

May 12th

Practice Problems


May 15th
I.S.U. C:
Double Angle Identities for Sine

May 16th

Analyzing Rational Functions

May 17th

Practice Problems

May 18th

Sketching Rational Functions
May 19th

Practice Problems


May 22nd

Victoria Day
:)

May 23rd
I.S.U. C:
Reducing Double Angle Expressions

May24th

Practice Problems

May 25th

Practice Problems

May 26th

Check the Solutions!


May 29th
End Part Five:
Rational Analysis Practice Test

May 30th

Polynomials and Rationals Test

May 31st
End I.S.U. C:
Double Angle
Practice Test


June 1st

Double Angle
Test


June 2nd

P.D. Day
:)


June 5th
Start Part Six:
Factoring Other Functions
Practice Problems
June 6th

Fancy Factoring Other Functions
Practice Problems
June 7th

Common Denominators for Other Functions
June 8th

Multiplication Type Composites

June 9th

Practice Problems



June 12th

Practice Problems


June 13th

Practice Problems

June 14th
End Part Six:
Analyzing Composites Practice Test

June 15th

Composite Functions Test


June 16th

Exam Review



June 19th

Exam Review


June 20th

Exam Review


June 21st

Exam Review


June 22nd

Exam Review


June 23rd

Exam Day #1
:)



June 26th

Exam Day #2
:)


June 27th

Exam Day #3
:)


June 28th

Exam Day #4
:)


June 29th

Exam Day #5
:)


June 30th

P.D. Day
:)



Mysteries of the Ancient Past...

February 6th
Start Part One:
What is Log?


February 7th

Practice Problems
February 8th

Solve Exponentials

February 9th

Practice Problems

February 10th

Laws of Logarithms
Practice Problems


February 13th

Taking a Limit


February 14th

Practice Problems


February 15th

Practice Problems
February 16th
End Part One:
Limits & Logarithms Practice Test
February 17th

Limits & Logarithms
Test



J. McDonald 2025
Mathemanomicon.ca
  • Home
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • 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
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites 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
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)
  • Home
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • 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
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites 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
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)