Enter my response with proper math syntax

Proper mathematical syntax is required while entering your response to questions whether you're using Text Mode or Symbol Mode for your responses.

To see how to enter proper math syntax in Möbius:

Mathematical expression syntax

When entering formulas and expressions as your response, use standard mathematical notation that's similar to that used by a graphing calculator (Example(x^2-2*x+1)*2*sin(x)*(x^2+1)*e^(-x^2) is accepted).

Here are some notes on using mathematical expression syntax when entering your response:

  • Place the argument of a function in parentheses () (Example — enter sqrt(3x) not sqrt 3x, which is interpreted as (sqrt(3))*x)

  • Be sure to include parentheses () (Example — the expression 1/(x+1) is different from 1/x+1 which Möbius interprets as)

Variable name syntax

The variable(s) in your response must be identical—this includes case sensitivity—to the variable(s) used in the question statement.

If these don't match, your response will be graded as incorrect (Example — if the question uses the variable t, but you've entered a response that uses T, your response won't match the defined correct answer and will be graded as incorrect).

Function and operator syntax

Functions and operators require specific syntax and notation when they're used within your response.

Some notation applies to all of Möbius, while others apply specifically to questions that require you to respond with Maple Syntax.

Maple Syntax — The language that the MapleTM math engine uses to interpret mathematical expressions.

Arithmetic

Arithmetic

Syntax for Möbius or Maple

Addition

+

Subtraction

-

Multiplication

*

Division

/

Exponentiation

^

Trigonometric functions

Function

Syntax for Möbius or Maple

Sine

sin

Cosine

cos

Tangent

tan

Inverse sine

arcsin

Inverse cosine

arccos

Inverse tangent

arctan

Secant

sec

Cosecant

csc

Cotangent

cot

Hyperbolic trigonometric functions

Function

Möbius syntax

Maple syntax

Hyperbolic sine

hypsin

sinh

Hyperbolic cosine

hypcos

cosh

Hyperbolic tangent

hyptan

tanh

Hyperbolic secant

hypsec

sech

Hyperbolic cosecant

hypcsc

csch

Hyperbolic cotangent

hypcot

coth

Inverse hyperbolic sine

archypsin

arcsinh

Inverse hyperbolic secant

archypsec

arcsech

Inverse hyperbolic cosecant

archypcsc

archcsch

Inverse hyperbolic cotangent

archypcot

arccoth

Numbers and constants

Number or constant

Möbius syntax

Maple syntax

2.71828...

e

exp(1)

3.14159...

Pi

Pi

Scientific notation

E

E

N/A*

I

Infinity (∞)

infinity

infinity

N/A* — Not available

Functions

Function

Möbius syntax

Maple syntax

Limit of a function ƒ

N/A*

limit(f, x=a)

Derivative or partial derivative of a function ƒ

N/A*

diff(f, x)

Integral of a function ƒ

N/A*

int(f, x)

Absolute value

abs(x)

abs(x)

Square root

sqrt(x) or x^(1/2)

sqrt(x) or x^(1/2)

Exponential

e^x

exp(x)

Logarithm base b

N/A*

log[b](x)

Logarithm base 10

log(x)

log10(x)

Natural logarithm (base e)

ln(x)

log(x) or ln(x)

N/A* — Not available