Formula sheets

Semester 1

Chapter 1

1.1 - Area and Volume Review

1.2 - Integration as Accumulation

1.3 - Integration by parts

1.4 - Integration by partial fractions

1.5 - improper integrals

1.6 - arc length

1.7 - surface length

Chapter 2

2.1 - Mean value theorem

2.2 - l'​Hôpital's rule

2.3 - euler's method

2.4 - solving seperable differential equations

2.5 - slope fields

2.6 - exponential growth & decay

2.7 - logistic growth

Chapter 3

3.1 - sequences

3.2 - infinite series

3.3 - positive series: integral, p-series, & bounded sum tests

3.4 - comparison tests & the ratio test

3.5 - alternating series

Chapter 4

4.1 - Series of functions

4.2 - operations on power series

4.3 - Taylor & maclaurin series

4.4 - curveballs of Taylor & Maclaurin

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Semester 2

Chapter 5

5.1 - parametric equations

5.2 - parametric equations for conic sections

5.3 - derivatives of parametric equations

5.4 - area, volume, arc length, and surface area of parametric equations

Chapter 6

6.1 - Vectors & geometry

6.2 - the algebra of vectors

6.3 - the calculus of vectors

6.4 - the precalculus of polar functions

6.5 - the calculus of polar functions