• 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 2025)


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


Last Week:
Things older than that are at the VERY BOTTOM of the Calendar...


May 5th
I.S.U. C:
Reducing Double Angle Expressions

May 6th

Practice Problems
May 7th
Start Part Five:
Polynomial Long Division

May 8th

Practice Problems
May 9th

Sketching Polynomials


This Week:

May 12th
End I.S.U. C:
Double Angle
Practice Test


May 13th

Practice Problems

May 14th

Double Angle
Test


May 15th

Analyzing Rational Functions
May 16th

Practice Problems


May 19th

Victoria Day
:)

May 20th

Sketching Rational Functions

May 21st
End Part Five:
Rational Analysis Practice Test

May 22nd

Practice Problems

May 23rd

Polynomials and Rationals Test



A Glimpse into Your FUTURE !!

May 26th

Factoring Other Functions
May 27th

Fancy Factoring Other Functions

May 28th

Common Denominators for Other Functions
May 29th

Multiplication Type Composites

May 30th



June 2nd
End Part Six:
Analyzing Composites Practice Test

June 3rd

Practice Problems

June 4th

Practice Problems


June 5th

Composite Functions Test


June 6th

P.D. Day
:)



June 9th

ISU Exam Prep
June 10th

ISU Exam 1A

June 11th

ISU Exam 2A
June 12th

ISU Exam 1B & 2B

June 13th

Exam Review



June 16th

Exam Review


June 17th

Exam Part 1A


June 18th

Exam Part 2A


June 19th

Exam Part 1B & 2B


June 20th

Exam Day #1
:)



June 23rd

Exam Day #2
:)


June 24th

Exam Day #3
:)


June 25th

Exam Day #4
:)


June 26th

Exam Day #5
:)


June 27th

P.D. Day
:)



Mysteries of the Ancient Past...

February 3rd
I.S.U. A:
Arclength and Radians


February 4th

Practice Problems
February 5th
Start Part One:
What is Log?


February 6th

Solve Exponentials

February 7th

Practice Problems


February 10th
I.S.U. A:
CAST Rule (Radians)


February 11th

Practice Problems


February 12th

Laws of Logarithms
February 13th

Taking a Limit
February 14th

Practice Problems


February 17th

Family Day :)

February 18th
I.S.U. A:
CAST for Any Arc

February 19th
End Part One:
Limits & Logarithms Practice Test

February 20th

Practice Problems


February 21st

Limits & Logarithms
Test



February 24th
End I.S.U. A:
Arcs, Radians, CAST Practice Test
February 25th

Practice Problems


February 26th

Arcs, Radians, CAST
Test


February 27th
Start Part Two:
BFDMAS


February 28th

Linear Algebra




March  3rd
I.S.U. B:
Factoring Trig

March 4th

Practice Problems


March 5th

Sometimes it
Doesn't Work...


March 6th

Multiple Answers

March 7th

Finding Intercepts



March 17th
I.S.U. B:
Fancy Factoring Trig

March 18th

Practice Problems
March 19th
End Part Two:
Working w Functions Practice Test

March 20th

March 21st

Working w Functions
Test



March 24th
I.S.U. B:
Denominators for Trigonometry

March 25th


March 26th
Start Part Three:
Translations
March 27th

Transformations

March 28th

Sketch-o-thon


March 31st
I.S.U. B:
Pythagorean Identities

April 1st

Practice Problems


April 2nd

Practice Problems

April 3rd

Practice Problems


April 4th

Domain and Range


April 7th
I.S.U. B:
Pythagorean Identities
(Again)
April 8th

Practice Problems


April 9th
End Part Three:
Translations & Transformations
Practice Test

April 10th

Sketching Functions
Test
April 11th

PD. Day
:)


April 14th
End I.S.U. B:
Working with Trig Practice Quiz

April 15th

Practice Problems
April 16th

Practice Problems

April 17th

Working with Trig
Test


April 18th

Good Friday
:)



April 21st

Easter Monday
:)


April 22nd

I.S.U. C:
Double Angle Identities for Cosine
April 23rd
Start Part Four:
Average Rate of Change & Secants


April 24th

Instantaneous
Rate of Change

April 25th

Practice Problems



April 28th
I.S.U. C:
Double Angle Identities for Sine
April 29th

Practice Problems

April 30th
End Part Four:
Rates of Change Practice Test

May 1st

Practice Problems

May 2nd

Rates of Change
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)