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Modern scientific calculators generally have many more features than a standard four or five-function calculator, and the feature set differs between manufacturers and models; however, the defining features of a scientific calculator include:

scientific notation
floating point arithmetic
logarithmic functions, using both base 10 and base e
trigonometric functions (some including hyperbolic trigonometry)
exponential functions and roots beyond the square root
quick access to constants such as pi and e
In addition, high-end scientific calculators generally include:

cursor controls to edit equations and view previous calculations
hexadecimal, binary, and octal calculations, including basic Boolean math
complex numbers
fractions calculations
statistics and probability calculations
programmability - see Programmable calculator
equation solving
matrix calculations
calculus
letters that can be used for spelling words or including variables into an equation
conversion of units
physical constants
While most scientific models have traditionally used a single-line display similar to traditional pocket calculators, many of them have at the very least more digits (10 to 12), sometimes with extra digits for the floating point exponent. A few have multi-line displays, with some recent models from Hewlett-Packard, Texas Instruments, Casio, Sharp, and Canon using dot matrix displays similar to those found on graphing calculators.