RULES FOR SEQUENCE OF MATHEMATICAL OPERATIONS

Please Excuse Me Dear Aunt Sally

1. Do all work within Parenthesis? Accordingly,
2. Do all Exp onents and roots . 1 + 2 - 3² / 4 * 5 = - 8.25
3. Do all Multiplications and Divisions , left to right. but,
4. Do all Additions and Subtractions , left to right. {(1 + 2) - [3² / 4]} * 5 = 3.75

QUADRATIC EQUATION

when 0 = ax² + bx + c then

RULES FOR EXPONENTS

RULES FOR FRACTIONAL EXPONENTS

RULES FOR ROOTS

RULES FOR SUMMATIONS

4. For a constant k,

RULES FOR LOGS

5. With log base 10 (i.e., log10)
may use mantissas and characteristic.

6. Natural logs, written ln, use a base of e.
e ≈ 2.718 also, recall ln e = 1.

7. When e is raised to a power it is written as "exp"
or as "Exp". For example, exp(22) equals e22.

RULES FOR THE CALCULUS

2.6 if Y = k a constant, then
2.7 if Y = aXb  then	Second Derivative: pages 54 to 58 and then NOTE: (-) = max (+) = min
if U = g(X) and W = h(X)
2.8 if Y = U + W then
2.9 if Y = U - W then
2.12 if Y = U * W then
2.13 if Y = U ÷ W then
Chain Rule: Function of a Function 2.14 if Y = f(W) and W = g(X) then

Partial Derivatives: pages 60 to 64: 2.19 to 2.22
if Y = f(W, Z) where
which is equal to

then

hints: recall X⁰ = 1 and note 0*X =0

and