## Course curriculum

• 1

### Welcome!

• How to Join Discord

• 2

• 3

### Unit 2: Differentiation

• 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

• 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

• 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

• 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

• Section 1: Interpreting Graphs

• Section 2: Motion Problems

• 8

### Unit 7: Differential Equations

• 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)

• 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

• 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

• 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