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An Engineers Quick References to Mathematics

Algebra Help Math Sheet
This algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division. It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. This sheet also contains many common factoring examples. There is a description of the quadratic equation as well as step by step instruction to complete the square.
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Geometry Math Sheet
This geometry help reference sheet contains the circumference and area formulas for the following shapes: square, rectangle, circle, triangle, parallelogram, and trapezoid. It also includes the area of a circular ring as well as the area and segment length of a circular sector. This reference sheet contains formulas for area and volume of rectangular box, cube, and cylinder. This math help sheet also includes the area, side length, and volume of a right circular cone, as well as the volume of a frustum of a cone.
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Trigonometry Definition Math Sheet
This trigonometry definition help sheet contains right triangle definitions for sine, cosine, tangent, cosecant, secant, and cotangent. It also contains the unit circle definitions for all trig functions. This sheet describes the range, domain and period for each of the trig functions. There is also a description of inverse trig function notation as well as domain and range.
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Trigonometry Laws and Identities Math Sheet
This trigonometry laws and identities help sheet contains the law of cosines, law of sines, and law of tangents. It also contains the following identities: tangent identities, reciprocal identities, Pythagorean identities, periodic identities, even/odd identities, double angle identities, half angle identities, product to sum identities, sum to product identities, sum/difference identities, and cofunction identities.
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Calculus Derivatives and Limits Math Sheet
This calculus derivatives and limits help sheet contains the definition of a derivative, mean value theorem, and the derivative’s basic properties. There is a list of common derivative examples and chain rule examples. The following derivative rules are also described: product rule, quotient rule, power rule, chain rule, and L’Hopital’s rule. This sheet also contains properties of limits as well as examples of limit evaluations at infinity. A limit evaluation method for factoring is also included.
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Calculus Integrals Math Sheet
This calculus integral reference sheet contains the definition of an integral and the following methods for approximating definite integrals: left hand rectangle, right hand rectangle, midpoint rule, trapezoid rule, and Simpson’s rule. There is a list of many common integrals. Also included in this reference sheet is nice table for trigonometric substation when using integrals. Integration by substitution is defined as well as the integration by parts.
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