Course curriculum

  • 1

    Welcome!

    • How to Join Discord

  • 2

    Unit 1: Limits & Continuity

  • 3

    Unit 2: Differentiation

    • Unit 2 Note Packet (Download)

    • Section 1: Using the Definition of the Derivative

    • Section 2: Power Rule

    • Section 3: Derivatives of Other Functions

    • Section 4: Product Rule and Quotient Rule

    • Section 5: Chain Rule

    • Section 6: Tangent and Normal Lines

    • Section 7: Implicit Differentiation

    • Section 8: Derivatives of Inverse Functions

  • 4

    Unit 3: Applications of Differentiation

    • Unit 3 Note Packet (Download)

    • Section 1: Absolute and Relative Extrema

    • Section 2: Rolle's Theorem and Mean Value Theorem

    • Section 3: Concavity and The Second Derivative Test

    • Section 4: Related Rates

    • Section 5: Optimization

    • Section 6: Linear Approximation and Differentials

    • Section 7: L'Hospital's Rule

    • Section 8: Other Indeterminant Forms (BC Topic)

  • 5

    Unit 4: Integration

    • Unit 4 Note Packet (Download)

    • Section 1: Riemann Sums

    • Section 2: Definition of the Integral

    • Section 3: Antiderivatives

    • Section 4: The Definite Integral

    • Section 5: Derivatives of Integrals

    • Section 6: U-Substitution (Part 1)

    • Section 7: U-Substitution (Part 2)

  • 6

    Unit 5: Applications of Integration

    • Unit 5 Note Packet (Download)

    • Section 1: Average Value

    • Section 2: Area Between Curves

    • Section 3: Volume by Washer/Disk Method

    • Section 4: Volume by Shell Method (Not an AP Topic)

    • Section 5: Volume by Cross-Sectional Area

  • 7

    Unit 6: Interpreting Graphs & Motion

    • Unit 6 Note Packet (Download)

    • Section 1: Interpreting Graphs

    • Section 2: Motion Problems

  • 8

    Unit 7: Differential Equations

    • Unit 7 Note Packet (Download)

    • Section 1: Verifying Solutions

    • Section 2: Slope Fields

    • Section 3: Separation of Variables

    • Section 4: Euler's Method and The Logistic Equation (BC Topic)

    • Section 5: The Logistic Equation

  • 9

    Unit 8: Additional Integration Techniques (BC Only)

    • Unit 8 Note Packet (Download)

    • Section 1: Integration by Parts

    • Section 2: Partial Fraction Decomposition

    • Section 3: Improper Integrals

    • Section 4: Arc Length

    • Section 5: Trig Integrals (Not a BC Topic)

    • Section 6: Trig Substitution (Not a BC Topic)

  • 10

    Unit 9: Parametric & Polar Equations

    • Unit 9 Note Packet (Download)

    • Section 1: Parametric Equations

    • Section 2 & 3: Derivatives and Arc Length of Parametric Equations

    • Section 4: Polar Graphs

    • Section 5: Tangent Lines of Polar Equations

    • Section 6 & 7: Area and Arc Length

  • 11

    Unit 10: Tests of Convergence & Series

    • Unit 10 Note Packet (Download)

    • Section 1: nth Term Test

    • Section 2: p-Series Test

    • Section 3: Geometric Series

    • Sections 4 & 5: Integral and Comparison Test

    • Sections 6 & 7: Ratio and Root Test

    • Section 8: Alternating Series Test and Absolute Convergence

    • Section 10: Practicing Tests of Convergence

    • Section 11: Radius and Interval of Convergence

    • Section 12: Taylor and Maclaurin Series

    • Section 13: Deriving Taylor Series