Maclauren series Study guides, Class notes & Summaries

1. Definition of the Com- plex Line integral 2. Complex line integral sum form 3. What is the line inte- gral of f(z) over the curve C by limit form? 4. What is the line inte- gral of f(z) over the curve C by integral form? 5. What is the meaning of complex line in- tegrals consist of fi- nitely many smooth curves? 6. Three basic proper- ties of complex inte- gration 7. What is linearity of in- tegration? 8. What is sense rever- sal property? 1 . C has to be a smooth curve and f(z) h...

48 Pages of Notes taken in my free time following Professor Leonard’s Calculus 2 course on YouTube. Beginning with Differentiation/Integration of Exponential Functions, followed by advanced techniques of integration such as Integration by Parts, Trig. Substitution, Partial Fraction decomposition. Continues to Improper Integrals, into Sequences and Series. Expands on Taylor/MacLauren Series, as well as various tests of convergence (Integral Test, Ratio Test, etc.). Additionally, opens discussio...

A compilation of identities. Including Pythagorean, Double/Half Angle, Sum/Difference Identities, Hyperbolic Trigonometric Derivatives, Inverse Trigonometric Derivatives, Common MacLauren/Taylor Series, as well as a Unit Circle. Product Rule, Chain Rule, Integration by Parts, and plenty more. *Note: I intend to update this sheet as needed/desired.

This pdf contains all concepts and surplus amount of problems on Limits

Notes