• 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)

MCV 4U: Calculus & Vectors

You have found the Front Page for MDM4U!

This course runs in Fall and Spring
by eLO and in Person.

Take me to the Main Page to Choose the Right Semester / Course Format!

OR

Select the Appropriate Calendar from the Drop Down Menu



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)