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— entersqrt(3x)notsqrt 3x, which is interpreted as(sqrt(3))*x)Be sure to include parentheses () (
Example— the expression1/(x+1)is different from1/x+1which 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 | N/A* | log[b](x) |
Logarithm base 10 | log(x) | log10(x) |
Natural logarithm (base | ln(x) | log(x) or ln(x) |
N/A* — Not available
