Calculus Review and Formulas. Keone Hon. Revised 4/29/ 1 Functions. Definitions. Definition 1 (Function) A function is a rule or set of rules that. Diffusion (conduction) equation; Wave equation; Legendre's equation; Bessel's equation;. Laplace's equation; Spherical harmonics. Calculus of Variations. Use differentiation and integration tables to supplement differentiation and integration techniques. Differentiation Formulas. 1. 2. 3. 4. 5. 6. 7. 8. 9.
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1. Miami Dade College -- Hialeah Campus. Calculus I Formulas. MAC 1. Limits and Derivatives. 2. Differentiation rules. 3. Applications of Differentiation. 4. the object at x a.. Basic Properties and Formulas. If (). f x and (). g x are differentiable functions (the derivative exists), c and n are any real numbers,. 1. () . (). In both the Differential and Integral Calculus, examples illustrat- ing applications .. whose Equation is given between Three Rectangular Co- ordinates, jc, y, z.
This chapter covers U-substitution with all the major integral types: In this chapter we use The Fundamental Theorem of Calculus and definite integrals the ones with little numbers on the integral sign to find the area under curves, negative area, and integral properties. This chapter covers converting parametric equations to rectangular and back again, eliminating the parameter, parametric forms of circles and ellipses, and graphing them. Basics of vector addition, subtraction, multiplication, dot product, scalar product, magnitude, unit vectors, cross multiplication, and components. U-Substitution Integration: Also fun explanations of what the heck work is, and how to figure out what these problems are even asking! This chapter covers both, and how to find them using the first derivative test.