Isaacjc08

Class Notes taken by independent study following traditional Calculus III course

Includes Calculus I notes, Calculus II notes, as well as a comprehensive Identities Sheet. -Calculus I: Limits, Derivatives, and Basic Integration -Calculus II: Advanced Derivatives/Integration, Taylor Series/Polymomials -Identities: Angle Identities, Common Calculus Identities **Calculus III will be included soon

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.

22 Pages of notes Taken in my linear algebra course, contains topics and notes related to Linear Combinations, Solution Sets/Set Builder Notation, Matrix Operations, Row Reduction, Abstract Vectorspace, Linear Closure/Span, Basis, Dimension, Linear Transformations, Eigenvalues/Eigenvectors. Does not include comprehensive explanation of vectors in R2/R3/Rn

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...

38 Pages of Notes taken in my spare time following Professor Leonard’s calculus 1 course on YouTube. Formally defining the Fundamental Theorem of Calculus. Beginning with an introduction to Limits, followed by definition of a derivative. Continues with Chain Rule, Product Rule, Quotient Rule, Power Rule, etc. Additionally, it includes the definition of an integral as a Riemann Sum, as well as basic integration through an Antiderivative, and u-substitution. Followed by Volume of solids of ...