September 9-October 15 UNIT 1 Sequences and Series
6.1 introduction to sequences.
Video 1
Video 2
6.2 introduction to series.
Video 1
Video 2
Video 3
Video 4
6.3 the integral test.
Video 1
Video 2
Video 3
6.4 the comparison test.
Video 1
Video 2
Video 3
6.5 alternating series test.
Video 1
Video 2
6.6 absolute convergence & the ratio and root tests
Video 1
Video 2
Video 3
Video 4
Video 5
6.7 power series.
Video 1
Video 2
Video 3
Video 4
6.8 representations of functions as power series.
Video 1
Video 2
more representations of functions practice.
(complete 10-15 exercise problems)
6.9 taylor series/maclaurin series.
Video 1
Video 2
Video 3
Video 4
Cumulative Review Infinite Sequences and Series
https://www.youtube.com/watch?v=c0eLTOEkhdY
October 16 -November 20 Unit 2 Parametric Equations & Polar Coordinates
Students will learn the idea of parametric equations, where they are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface. In addition, students will also learn about the polar coordinate system and its applications and connections to vectors in calculus.
7.1 introduction to parametric curves.
7.2 tangents & areas
involving parametric curves.
7.3 arc length & surface area involving parametric curves.
7.4 introduction to polar coordinates,
including finding slopes.
more polar coordinates practice.
7.5 areas & lengths involving polar coordinates.
6.1 introduction to sequences.
Video 1
Video 2
6.2 introduction to series.
Video 1
Video 2
Video 3
Video 4
6.3 the integral test.
Video 1
Video 2
Video 3
6.4 the comparison test.
Video 1
Video 2
Video 3
6.5 alternating series test.
Video 1
Video 2
6.6 absolute convergence & the ratio and root tests
Video 1
Video 2
Video 3
Video 4
Video 5
6.7 power series.
Video 1
Video 2
Video 3
Video 4
6.8 representations of functions as power series.
Video 1
Video 2
more representations of functions practice.
(complete 10-15 exercise problems)
6.9 taylor series/maclaurin series.
Video 1
Video 2
Video 3
Video 4
Cumulative Review Infinite Sequences and Series
https://www.youtube.com/watch?v=c0eLTOEkhdY
October 16 -November 20 Unit 2 Parametric Equations & Polar Coordinates
Students will learn the idea of parametric equations, where they are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface. In addition, students will also learn about the polar coordinate system and its applications and connections to vectors in calculus.
7.1 introduction to parametric curves.
7.2 tangents & areas
involving parametric curves.
7.3 arc length & surface area involving parametric curves.
7.4 introduction to polar coordinates,
including finding slopes.
more polar coordinates practice.
7.5 areas & lengths involving polar coordinates.