Course curriculum
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1
Welcome!
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How to Join Discord
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How to Get Help
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Problem Solving Document
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2
Unit 1: Limits & Continuity
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Unit 1 Note Packet (Download)
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Section 1: Understanding Graphical Limits
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Section 2 Examples: Limits of Piecewise Functions
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Section 2: Limits of Piecewise Functions
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Section 3: Solving Limits Analytically
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Section 4: Strange Limits with Function Combinations
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Section 5: Limits at Infinity (Horizontal Asymptotes)
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Section 5B: Vertical Asymptotes
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Section 6: Special Trig Limits
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Section 7: Squeeze Theorem
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Section 8: Continuity
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Section 9: Intermediate Value Theorem
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Section 10: Epsilon Delta Definition of Limit (Not an AP Topic)
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3
Unit 2: Differentiation
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Unit 2 Note Packet (Download)
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Section 1: Using the Definition of the Derivative
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Section 1B: Differentiability
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Section 2: Power Rule
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Section 3: Derivatives of Other Functions
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Section 4: Product Rule and Quotient Rule
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Section 5: Chain Rule
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Section 6: Tangent and Normal Lines
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Section 7: Implicit Differentiation
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Section 8: Derivatives of Inverse Functions
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Section 9: Sketching f'(x)
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4
Unit 3: Applications of Differentiation
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Unit 3 Note Packet (Download)
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Section 1: Absolute and Relative Extrema
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Section 2: Rolle's Theorem and Mean Value Theorem
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Section 3: Concavity and The Second Derivative Test
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Section 4: Related Rates
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Section 5: Optimization
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Section 6: Linear Approximation and Differentials
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Section 7: L'Hospital's Rule
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Section 8: Other Indeterminant Forms (BC Topic)
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5
Unit 4: Integration
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Unit 4 Note Packet (Download)
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Section 1: Riemann Sums
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Section 2: Definition of the Integral
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Section 3: Antiderivatives
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Section 4: The Definite Integral
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Section 5: Derivatives of Integrals
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Section 6: U-Substitution (Part 1)
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Section 7: U-Substitution (Part 2)
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6
Unit 5: Applications of Integration
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Unit 5 Note Packet (Download)
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Section 1: Average Value
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Section 2: Area Between Curves
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Section 3: Volume by Washer/Disk Method
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Section 4: Volume by Shell Method (Not an AP Topic)
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Section 5: Volume by Cross-Sectional Area
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7
Unit 6: Interpreting Graphs & Motion
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Unit 6 Note Packet (Download)
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Section 1: Interpreting Graphs
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Section 2: Motion Problems
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8
Unit 7: Differential Equations
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Unit 7 Note Packet (Download)
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Section 1: Verifying Solutions
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Section 2: Slope Fields
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Section 3: Separation of Variables
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Section 4: Euler's Method and The Logistic Equation (BC Topic)
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Section 5: The Logistic Equation
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9
Unit 8: Additional Integration Techniques (BC Only)
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Unit 8 Note Packet (Download)
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Section 1: Integration by Parts
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Section 2: Partial Fraction Decomposition
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Section 3: Improper Integrals
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Section 4: Arc Length
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Section 5: Trig Integrals (Not a BC Topic)
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Section 6: Trig Substitution (Not a BC Topic)
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10
Unit 9: Parametric & Polar Equations
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Unit 9 Note Packet (Download)
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Section 1: Parametric Equations
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Section 2 & 3: Derivatives and Arc Length of Parametric Equations
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Section 4: Polar Graphs
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Section 5: Tangent Lines of Polar Equations
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Section 6 & 7: Area and Arc Length
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11
Unit 10: Tests of Convergence & Series
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Unit 10 Note Packet (Download)
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Section 1: nth Term Test
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Section 2: p-Series Test
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Section 3: Geometric Series
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Sections 4 & 5: Integral and Comparison Test
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Sections 6 & 7: Ratio and Root Test
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Section 8: Alternating Series Test and Absolute Convergence
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Section 10: Practicing Tests of Convergence
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Section 11: Radius and Interval of Convergence
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Section 12: Taylor and Maclaurin Series
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Section 13: Deriving Taylor Series
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12
Rate FRQs
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Rate FRQs
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Rate FRQ (2019 #1)
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Rate FRQ (2022 #1)
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13
Data Table FRQs
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Data Table FRQ Overview
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Data Table FRQ (2022 #4)
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Data Table FRQ (2021 #1)
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Data Table FRQ (2019 #2)
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$400.00 / month
Regular price