Calculus II Video Lectures

Monday 3/23 – Series:

  1.  Series Basics               – https://youtu.be/7Jp_qquGrLI
  2.  Geometric Series       – https://youtu.be/bRst3zymKuY
  3.  Telescoping Series     – https://youtu.be/oV6GBhAKJZ8
  4. The Harmonic Series – https://youtu.be/EPKErpENAXI
  5. Properties of Series    – https://youtu.be/_nvmb9ok0vU

Wednesday 3/25 and Friday 3/27 – Integral Test for p-series and Comparison Test

  1. Integral Test                            – https://youtu.be/6m92b9X3Y0k
  2. The Comparison Test            – https://youtu.be/8LXfbFzbM_o
  3. The Limit Comparison Test – https://youtu.be/pejhPM9CBiI

Monday 3/30 – Alternating Series

  1. Alternating Series Test                        – https://youtu.be/85WsWps8H0g
  2. Estimating Alternating Series Error – https://youtu.be/fchtOyzgs1Y

Wednesday 4/01 – Ratio and Root Test

  1. Absolute Convergence – https://youtu.be/BEuGobf4Bwk
  2. The Ratio Test                – https://youtu.be/C_DlFT6YG_E
  3. The Root Test                 – https://youtu.be/bFmSeDCRmE0
  4. Rearranging Series       – https://youtu.be/Xjwlo-LlNuo

Friday 4/03 – Review of Series

  1. Review of Tests                      – https://youtu.be/s9PgyoxUqSI
  2. General Strategy for Series – https://youtu.be/U0PRx64EGLM

Monday 4/06 – Power Series

  1. Power Series                           – https://youtu.be/a2NbVnFMgIY
  2. The Radius of Convergence – https://youtu.be/SIopDmiBUdA

Wednesday 4/08 – Functions as Power Series

  1. Substitution                                    – https://youtu.be/umtv3yJuezQ
  2. Differentiation and Integration – https://youtu.be/wQ8azMBzKxI

Wednesday 4/15 – Taylor and Maclaurin Series

  1. Taylor/Maclaurin Series – https://youtu.be/XTTFRWVpDdM
  2. Taylor’s Theorem             – https://youtu.be/syTzQJVEdAc

Friday 4/17 – Applications of Taylor Series

  1. Applications of Taylor Series – https://youtu.be/bZfVJ_6hxFg

Wednesday 4/22 – Parametric Curves

  1. Parametric Curves – https://youtu.be/_H0ZtVUTLKQ

Friday 4/24 – Calculus with Parametric Curves

  1. Derivatives and Parametric Curves               – https://youtu.be/9qcLtr02HmM
  2. Area and Arc Length of Parametric Curves – https://youtu.be/nghUUT0AmC4

Monday 4/27 – Polar Coordinates

  1. Polar Coordinates                             – https://youtu.be/QesVNoN765A
  2. Graphing with Polar Coordinates – https://youtu.be/83VcdKToj_w
  3. Tangent Lines of Polar Curves       – https://youtu.be/UOdp8lMGrhE

Wednesday 4/29 – Area and Arc Length in Polar Coordinates

  1. Area and Arc Length in Polar Coordinates – https://youtu.be/1xJgRKVJK3U