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 alphabet If you are having trouble understanding the material in your class, buy these notes They are guaranteed to be helpful
