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  • 2025
    • MATA36 Winter 2025
      • Tutorial Week 2
        • Basic Integration Rules
        • Integration Methods
        • Practice Questions
        • Practice Questions
      • Tutorial Week 3
        • Integration Methods Review
        • Trigonometric Substitution (Trig Sub)
        • Partial Fraction Decomposition (PFD)
      • Tutorial Week 4
        • Partial Fraction Decomposition (PFD)
        • Riemann Sums and Sigma Notation
      • Tutorial Week 5
        • Numerical Integration
        • Improper Integrals
      • Tutorial Week 6
        • Volumes of Revolution
        • Volumes by Cylindrical Shells
      • Tutorial Week 7
        • Arc Length
        • Initial Value Problems (Differential Equations)
      • Tutorial Week 8
        • Separable Differential Equations
        • Linear Differential Equations
      • Tutorial Week 9
        • Sequences
        • Recurrence Relations
        • Monotonic Sequences
        • Bounded Monotone Convergence Theorem (MCT)
      • Tutorial Week 10
        • Term Test Review
      • Tutorial Week 11
        • Series Definitions
        • Geometric Series
        • Comparison Test
        • Alternating Series Test
      • Tutorial Week 12
        • Absolute Convergence
        • Ratio Test
        • Root Test
        • Taylor Series
  • 2024
    • MATA36 Winter 2024
      • Tutorial Week 2
        • Basic Integration Rules
        • Integration Methods
        • Practice Questions
        • Challenge Questions
      • Tutorial Week 3
        • Trigonometric Substitution (Trig Sub)
        • Practice Questions
      • Tutorial Week 4
        • Partial Fraction Decomposition (PFD)
        • Riemann Sums and Sigma Notation
      • Tutorial Week 5
        • Riemann Sums (Again)
        • Numerical Integration
        • Improper Integrals
      • Tutorial Week 6
        • Volumes of Revolution
        • Volumes by Cylindrical Shells
      • Tutorial Week 7
        • Arc Length
        • Complex Numbers
      • Tutorial Week 8
        • Initial Value Problems
        • Separable Differential Equations
        • Linear Differential Equations
      • Tutorial Week 9
        • Sequences
        • Recurrence Relations
        • Monotonic Sequences
        • Bounded Monotone Convergence Theorem (MCT)
      • Tutorial Week 10
        • Series Definitions
        • Geometric Series
      • Tutorial Week 11
        • Comparison Test
        • Alternating Series Test
      • Tutorial Week 12
        • Ratio Test
        • Root Test
    • MATA30 Fall 2024
      • Tutorial Week 2
  • 2023
    • MATA30 Fall 2023
      • Tutorial Week 2
        • What are tutorials?
        • Expectations when showing your work
        • Sets
        • Quantifiers and shorthands
        • Functions and graphs
        • Some terminology for functions
        • Solving inequalities
        • Exponentials and Logarithms
      • Tutorial Week 3
        • Trigonometric and inverse trigonometric functions
        • Inverse trigonometric practice
        • Finite Limits
      • Tutorial Week 4
        • Indeterminate Form
        • Limit Identities
        • Squeeze Theorem
        • Absolute Values
        • More examples
      • Tutorial Week 5
        • Continuity
        • Intermediate Value Theorem
        • Limit definition of a derivative
      • Tutorial Week 6
        • Midterm Rundown
        • Midterm Review
      • Tutorial Week 7
        • Derivative Notation
        • Derivative Rules
        • Common derivatives
        • Derivative Practice
        • Logarithmic Differentiation
        • Implicit Differentiation
      • Tutorial Week 8
        • Curve Sketching
        • Derivatives of inverse functions
        • Applications of derivatives and related rates
      • Tutorial Week 9
        • L’Hopital’s Rule
        • Mean Value Theorem
        • Linearization
      • Tutorial Week 10
        • Initial Value Problems
        • Newton’s Law of Cooling
        • Optimization
      • Tutorial Week 11
        • Definitions
        • Intermediate Value Theorem
        • Limit Definition of a Derivative
        • Computing Deriviatives
        • Related Rates
        • Maximums and Minimums within Intervals
        • Curve Sketching
        • Slope of Tangent Lines
      • Tutorial Week 12
        • Sigma Notation
        • Riemann Sums
        • Integrals
        • Integral Properties and Formulas
        • Fundamental Theorem of Calculus 2 (FTC 2)
    • MATA33 Winter 2023
      • Tutorial Week 2
        • Graphing Linear Inequalities
        • FTLP and Feasable regions
        • Finding optimal solutions to Linear Programming problems
      • Tutorial Week 3
        • Unbounded Regions
        • Numbers of Solutions
        • Matrices
      • Tutorial Week 4
        • Proving with Matrices
        • Gaussian Elimination and Systems of Equations
      • Tutorial Week 5
        • Gaussian Elimination and Number of Solutions
        • Homogeneous Systems
        • Midterm Review
      • Tutorial Week 6
        • Inverting Matrices
        • Solving System of Equations with Inverse Matrices
        • Equations with Inverse Matrices
        • Determinants
      • Tutorial Week 7
        • Cramer’s Rule
        • Domains of multivariable functions
        • Level sets
      • Tutorial Week 8
        • Partial Derivatives
        • Marginal Costs
      • Tutorial Week 9
        • Higher order Partial Derivatives
        • Implicit functions and Higher order Partial Derivatives
      • Tutorial Week 10
        • Chain Rule
        • Tangent Planes
        • Critical Points
      • Tutorial Week 11
        • Hessian Matrix and Local Extrema
        • Multivariable Optimization and Lagrange Multipliers
      • Tutorial Week 12
        • Changing Order of Integration
    • MATA36 Winter 2023
      • Tutorial Week 2
        • \(\rule{0pt}{0ex}\)
      • Tutorial Week 3
        • Assignment Review
        • Integral Practice
      • Tutorial Week 4
        • Integral Practice
        • Partial Fraction Decomposition
      • Tutorial Week 5
        • Trigonometric Substitution
        • Area Between Functions
        • Midterm Review
      • Tutorial Week 6
        • Volumes using Cross-Sectional Areas
        • Volumes of Revolution
        • Volumes by Cylindrical Shells
      • Tutorial Week 7
        • Arc length of curves
        • Simpson’s Rule
      • Tutorial Week 8
        • Improper Integrals
        • Comparison Test
      • Tutorial Week 9
        • Limits, convergence, and divergence of Sequences
        • Monotone Convergence Theorem (MCT) and Convergence
        • Limits of Monotonic Sequences
      • Tutorial Week 10
        • Recursively defined Functions
        • Conditions for convergent series
        • Geometric Series
      • Tutorial Week 11
        • Integral Test
        • Comparison Test
        • Telescoping Series
      • Tutorial Week 12
        • Alternating Series
        • Ratio Test
  • 2022
    • MATA30 Fall 2022
      • Tutorial Week 2
        • Writing Math
        • Factoring
        • Lines
        • Functions
        • Sketching functions
        • Function inverses
        • Absolute values
        • Inequalities
        • Logarithms and exponents
        • Function composition
      • Tutorial Week 3
        • Inverse Trig
        • Inverse Trig Functions
        • Inverse Trig Cancellation Rules
        • Graphs of Limits
        • Calculating Limits
      • Tutorial Week 4
        • Proof of Trigonometric Limit Identities
        • Squeeze Theorem
        • Indeterminant Forms
        • Conjugates
        • Finding Limits
        • Trigonometric Limits
      • Tutorial Week 5
        • Continuity
        • Finding Derivatives using the Limit Definition of a Derivative
        • Differentiability using the Limit Definition of a Derivative
        • Intermediate Value Theorem
      • Tutorial Week 6
        • Graphing differentiability
        • Derivative Notation
        • Derivatives with absolute values
        • Computing derivatives
        • Derivative tables
        • Piecewise function differentiability
      • Tutorial Week 7
        • Implicit Differentiation
        • Exponential Derivatives
        • Inverse Trigonometric Derivatives
        • Logarithmitic Differentiation
        • Related Rates
        • Inverse Function Derivatives
      • Tutorial Week 8
        • Curve Sketching
        • Sinusodial Function Derivatives
        • Test for Absolute Extrema
        • Drawing Functions
      • Term Test 2 Supplementary Practice
        • Q1: Definitions
        • Q2: Continuity & IVT
        • Q3: Limit Definition of a Derivative
        • Q4/5: Computing Derivatives
        • Q6: Related Rates
        • Q7: Absolute Extrema
        • Q8: Curve Sketching
        • Q9: Tangent Lines
      • Tutorial Week 9
        • L’Hopital’s Rule
        • L’Hopital’s Rule with Logs
        • Mean Value Theorem
        • Linearization
      • Tutorial Week 10
        • Exponential Modelling
        • Newton’s Law of Cooling
        • Optimization
      • Tutorial Week 11
        • Computing Integrals
        • Riemann Sums
        • Approximating Integrals using Riemann Sums
      • Tutorial Week 12
        • Integral Theorems
        • Fundamental Theorem Of Calculus I
        • Subtitution Method (aka u-substitution)
  • »
  • 2024
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2024

Pages for 2024

  • MATA36 Winter 2024
  • MATA30 Fall 2024
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