# Calculus 2

Most of the following videos were created for an AP Calculus course using the 2015-2016 syllabus. Some topics are not covered in depth but are more of a surface understanding. Some Calculus topics are not included.

**NOT ALL VIDEOS ARE CLOSED CAPTIONED but this process is being worked on.**

### Math 181 Videos (Spring 2019)

**Make sure you watch the videos on Playposit.com to earn credit. These are here only if you want to rewatch them.**

**Volumes with Known Cross Sections**

**Volumes with Cylindrical Shells**

**Sequences**

### Old AP Calculus BC videos

### Integrals

* Integrals of More Transcendental Functions* (≈19 min)

**Integral Test (for series)*** *(≈8 min)

**Methods of Integration*** *(≈43 min)

(includes basic integrals using substitution, integration by parts, basic partial fraction decomposition)

**Trapezoidal Approximation Method*** *(≈30 min)

**Applications of Integration**

* Integral as a Net change* (≈31 min)

* AP Net Change (part 1)* (≈55 min)

* AP Net Change (part 2)* (≈47 min)

**Separable Differential Equations*** *(≈ 38 min)

**Slope Fields*** *(≈ 34 min)

**Logistic Differential Equations*** *(≈49 min)

* Euler's Method* (≈25 min)

* Arc Length* (≈9 min)

* Parametric Differentiation and Arc Length* (≈28 min)

* Vector-Valued Functions* (≈42 min)

**Area and Volume**

* Area Between Two Curves [dx]* (≈48 min)

* Area Between Two Curves [dy]* (≈25 min)

**MVT for Integral*** s *(≈32 min)

**Volume: Known Cross Sections *** *(≈50 min)

* Volumes of Revolution: Disk Method *(≈20 min)

* Volumes of Revolution: Washer Method *(≈29 min)

* Method of Cylindrical Shells* (≈31 min)

* Introduction to Polar Coordinates *(≈39 min)

* Polar Derivatives* (≈24 min)

* Polar Area *(≈59 min)

### Old AP Calculus BC videos

### Series <-- Digital book

**Intro to Sequences*** *(28 min)

**Intro to Series*** *and

*(29 min)*

**Infinite Series****nth term test and Harmonic Series**** **(≈15 min**)**

**Geometric Series Test ***(≈19 min)*

**Introduction to Taylor Polynomials*** (≈17 min)*

**Building a Taylor Polynomial ***(≈43 min)*

**Ratio and Root Test**** **(≈25 min)

**Intro to Power Series*** (≈32 min)*

**More on the RoC and IoC **** **(≈20 min)

**Convergence of series w/ positive terms & p-series test**** **(≈10 min)

**Direct Comparison Test**** **(≈26 min)

**Limit Comparison Test**** **(≈13 min)

**Convergence of series with alternating terms and the Alternating Series Test ***(≈18 min)*

**Strategies for testing convergence of infinite series*** (≈17 min)*

**Alternating Series Error Bound**** **(≈13 min)

**Lagrange Error Bound**** **(≈21 min)

**Power Series and Intervals of Convergence*** (≈ 17 min)*

**Taylor Series*** (≈43 min)*