Synopsis "Chris Notes! A set of Notes for Differential Calculus (in English)"
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. 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 alphabetIf you are having trouble understanding the material in your class, buy these notes! They are guaranteed to be helpful!
