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Maclaurin Series

Learning tasks
            
Lesson Summary
Text book
Exercises Correction
A) Maclaurin Series
    1) Expanding Maclaurin Series from Sigma NotationEx 1 Ex 2 Ex 3 Ex 4
    2) Writing a Series using Sigma NotationEx 5 Ex 6 Ex 7 Ex 8
    3) Deriving Standard Maclaurin Series from First PrinciplesEx 9 Ex 10 Ex 11 Ex 12
    4) Finding Series with the Binomial FormulaEx 13 Ex 14 Ex 15
B) Maclaurin Polynomials for Approximation
    5) Finding Maclaurin Polynomials from a Given SeriesEx 16 Ex 17 Ex 18
    6) Finding Maclaurin Polynomials from First PrinciplesEx 19 Ex 20 Ex 21
    7) Approximating Function Values using Maclaurin PolynomialsEx 22 Ex 23 Ex 24
    8) Estimating the Error of Maclaurin ApproximationsEx 25 Ex 26
C) Substitution and Differentiation/Integration Term-by-Term
    9) Finding New Series by SubstitutionEx 27 Ex 28 Ex 29 Ex 30
    10) Finding New Series with the Binomial Formula by SubstitutionEx 31 Ex 32 Ex 33
    11) Differentiating Maclaurin PolynomialsEx 34 Ex 35 Ex 36 Ex 37
    12) Integrating Maclaurin PolynomialsEx 38 Ex 39 Ex 40
    13) Finding New Series by DifferentiationEx 41 Ex 42 Ex 43 Ex 44
    14) Finding New Series by IntegrationEx 45 Ex 46 Ex 47
D) Linearity of Maclaurin Series
    15) Combining Series to Find New SeriesEx 48 Ex 49 Ex 50