unit 3 - power series
EK 4.2C1: If a
power series converges, it either converges at a single point or has an
interval of convergence.
EK 4.2C2: The ratio test can be used to determine the radius of convergence of a power series.
EK 4.2C3: If a power series has a positive radius of convergence, then the power series is the Taylor series of the function to which it converges over the open interval.
EK 4.2C4: The radius of convergence of a power series obtained by term-by-term differentiation or term-by-term integration is the same as the radius of convergence of the original power series
EK 4.2C2: The ratio test can be used to determine the radius of convergence of a power series.
EK 4.2C3: If a power series has a positive radius of convergence, then the power series is the Taylor series of the function to which it converges over the open interval.
EK 4.2C4: The radius of convergence of a power series obtained by term-by-term differentiation or term-by-term integration is the same as the radius of convergence of the original power series
HW Assignment & Extra Practice Problems HW # 1a - Interval of Convergence HW # 1b - Power Series HW # 2 - Taylor Series HW # 3a - Maclaurin Series HW # 3b - Generating a MacLaurin Series HW # 4a Taylor Polynomial Error HW # 4b - Lagrange Error Power Point HW # 4c - Lagrange Error Video This guy's explanation of the error bound is pretty good. He makes one mistake when he creates the polynomial for cosine instead of sine, but I think it is still very helpful for understanding the Error Bound. Error Homework Worksheet Answers |
Unit 3 Due Dates Graded HW - TBD Adobe Spark Info Google Upload Link - Series Test Project = Adobe Sparks - TBD CW # 3 - TBD "IMPACTS" Preliminary Link Upload - TBD Graded HW # 3 ("IMPACTS" Worksheet Answers - Series - Part 1 & Series - Part 2 - 1 copy per group) - TBD "IMPACTS" Project Presentation - TBD Unit Test 3 - TBD Project Website Link of Free Presentation Ideas Cool Pi Day Video Clip |
Unit 3 Review
Verbose Explanation - Generating a Power Series
Taylor & Maclaurin - Part 1 - Part 2 - Part 3 - Part 4 - Part 5
On - line Taylor & Maclaurin Practice Problems & Solutions
Taylor Series Practice Game
Converge & Diverge Test - Strategies
Power Point Review of Series Tests
Additional Unit 3 review material links
On - line Calculus Textbooks & Video Clips
Hollywood Squares Demo
Verbose Explanation - Generating a Power Series
Taylor & Maclaurin - Part 1 - Part 2 - Part 3 - Part 4 - Part 5
On - line Taylor & Maclaurin Practice Problems & Solutions
Taylor Series Practice Game
Converge & Diverge Test - Strategies
Power Point Review of Series Tests
Additional Unit 3 review material links
On - line Calculus Textbooks & Video Clips
Hollywood Squares Demo
Agenda Changes
AP Calculus BC – 4th Period
Mon
Tuesday
Wednesday
Thursday
Friday
AP Calculus BC – 4th Period
Mon
Tuesday
Wednesday
Thursday
Friday