Chris Notes! A Set of Notes for Differential Calculus - Paperback

by Chris O'Neal (Author)

Chris Notes! A Set Of Notes For Differential Calculus is a set of notes I wrote to help students taking a non-theoretical course in differential calculus, typically the first semester (also known as Calculus I)). All the important definitions, formulas, and step-by-step procedures are carefully explained, and plenty of examples illustrate all the major concepts. This book is continued by my next book, Chris Notes! A Set of Notes for Integral Calculus (https: //www.amazon.com/Chris-Notes-Set-Integral-Calculus/dp/1734634715).
Topics include:
Topics you need to know from algebra and pre-calculus
Limits, continuity, secant and tangent lines
Derivative formulas
Optimization, Mean Value Theorem, first and second derivative tests, increasing/decreasing intervals, concavity
Related rates, other derivative applications, Newton's Method, L'Hopital's Rule
Derivatives of parametric functions, vector-valued functions, and polar functions
Introduction to antiderivatives and basic differential equations, Euler's Method, Newton's Law of Cooling, applications to physics
Appendices include the unit circle, trigonometric identities, derivative and basic antiderivative formulas, basic physics formulas and derivatives of parametric and polar functions, algebra and geometry formulas, TI-84 commands, and the Greek alphabet