Lecture 01 | Exploring Built-in Functions in Mathematica | Computing Tools for Mathematics

Lecture 01 | Exploring Built-in Functions in Mathematica | Computing Tools for Mathematics

Course Title : Computing Tools for Mathematics
Course Code : MTH-604
Software Name : Mathematica

Mathematica course

Lecture Number : 01
By (Name) : Awais Rasool

WhatsApp contact:
+923160600073

Topics Name :
01) Exploring Built-in Functions in Mathematica
𝐵𝑢𝑖𝑙𝑡−𝑖𝑛 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛:
Built-in function are pre-defined functions in a programming language that can be used to perform specific tasks, such as:
𝑃𝑟𝑒−𝑑𝑒𝑓𝑖𝑛𝑒𝑑:
Built-in functions are already defined in the programming language.
𝑆𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑡𝑎𝑠𝑘:
Each Built-in function preforms a specific tasks, such as mathematical operations or string manipulation.
𝑅𝑒𝑢𝑠𝑎𝑏𝑙𝑒:
Built-in functions can be used multiple times in a program.

𝑆𝑖𝑛𝑔𝑙𝑒 𝑊𝑜𝑟𝑑 𝐵𝑢𝑖𝑙𝑡−𝑖𝑛 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛:
The built-in functions start with a capital letter.
𝐸𝑥𝑎𝑚𝑝𝑙𝑒:
Sin[x] , Cos[x] , Log[x]
𝑀𝑜𝑟𝑒 𝑡ℎ𝑒𝑛 𝑜𝑛𝑒 𝑊𝑜𝑟𝑑 𝐵𝑢𝑖𝑙𝑡−𝑖𝑛 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛:
The more than one word built-in functions have all words starting with a capital letter, and there are no spaces between them.
𝐸𝑥𝑎𝑚𝑝𝑙𝑒:
MatrixForm[A]

N[expr] gives the numerical value of the expression.
N[expr,n] attempts to give a result with n-digit precision.
𝐸𝑥𝑎𝑚𝑝𝑙𝑒:
Sin[𝜋/6] = √3/2
N[Sin[𝜋/6]] = 0.866025
N[Sin[𝜋/6],10] = 0.8660254038
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+923160600073

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