Calculus

A summary on inverse functions, covering: The natural logarithmic function, the natural exponential function, logarithmic differentiation, laws of exponents and their proofs, and radioactive decay. The are ample problems and solutions to those problems to help you understand.

A summary on derivatives covering: The derivative as a function, Rules of differentiation, Implicit differentiation, the proofs of the rules. There are ample examples in the summary.

A summary on limits and continuity covering: Tangent and velocity problems, the limit as a function, infinite limits, calculating limits using the limit laws, the squeeze theorem, continuity and the intermediate value theorem.

A summary on functions which covers: Linear models, Rational functions, Algebraic functions, Trigonometric functions as well as function translation and reflection.

A summary on how to calculate the volume of any solid using integration. There are problems and solutions to those problems to help you understand.

A summary on hyperbolic functions, covering: the various hyperbolic functions, their identities, the inverse of hyperbolic functions and the derivatives of hyperbolic functions. There are problems and solutions to those problems to help you understand.

A summary on how to solve limit indeterminate forms using L’Hospital’s rule. There are problems and solutions to those problems to help you understand.

A summary on trigonometric substitution containing problems and solutions to those problems to aid your understanding.

A summary on partial fractions, more specifically, how to solve them. There are problems and solutions to those problems to aid your understanding.