Full Course Summary

Unit 1. Limits

4-7%. Content for AB & BC.

1.1 Graphing Limits

1.2 Solving a Limit

1.3 Asymptotes, Continuous, IVT, ARC, and IRC

Unit 2. Derivatives

8-14%. Content for AB & BC.

2.1 DNE Derivatives

2.2 Power, Product, Quotient, and Chain Rules

2.3 Make f(x) Differentiable Given f(x) Is Piecewise

2.4 Derivative Rules

2.5 Inverse and Log Derivatives

Unit 3. Applications of Derivatives

14-20%. Content for AB & BC.

3.1 EVT

3.2 MVT

3.3 Optimizations

3.4 Related Rates

3.5 Linearizations and Differentials

Unit 4. Integrals

17-20%. Content for AB & BC.

4.1 RRAM, LRAM, TRAM, and MRAM

4.2 Riemann Sums

4.3 FTC

4.4 Properties of Integrals

4.5 Total Area, Net Area, and Avg Value of f(x)

Unit 5. Applications of Integration.

12-18%. Content for AB & BC.

5.1 Integration Techniques (USub, Long Div, Split the Fraction, Tabular, Partial Fraction Decomposition, and By Parts)

5.2 Intial Value (find C)

5.3 Slope Fields

5.4 Euler's method

5.5 Exp & Log Growth

5.6 Particle Motion

5.7 Area between 2 Curves

5.8 Discs, Washers, Cross Sectiions, Shells and Arc length

5.9 L'Hopital's Rule

5.10 Growth Rates

Unit 6. Series.

17-18%. BC Only.

6.1 Geometric, Telescoping, and Alternating Series

6.2 Everything Tests. Nth Term, Alternating Series, P, Ratio, Root, Integral, DCT, and LCT.

6.3 Power Series (Finding IOC and Writing Functions as Power Series)

6.4 Taylor Series

6.5 LaGrange Error

6.6 Alternating Series Error Bound

Unit 7. Parametrics, Vectors, and Polars

11-12%. BC Only.

7.1 Parametrics

7.2 Vectors

7.3 Polars