(1.2.2)(1.2.2)

(1.1.2)(1.1.2)

(1.1.1)(1.1.1)

(2.7)(2.7)

(2.4)(2.4)

(2.1)(2.1)

(1.2.1)(1.2.1)

(2.3)(2.3)

(2.5)(2.5)

(2.6)(2.6)

(2.8)(2.8)

(2.2)(2.2)

Sets, Lists and Sequences

Lists are enclosed in a square brackets [ ]; elements in the list are not orderedexamples:

Sets are enclosed in a curly braces { }; elements in a set are ordered.examples:

indexing:examples:

5

7the last command can as well be entered as;

7

(2.1.1)(2.1.1)

(3.1)(3.1)

(2.9)(2.9)

(2.1.2)(2.1.2)

(2.1.3)(2.1.3)

(2.10)(2.10)

(3.4)(3.4)

(2.12)(2.12)

(3.5)(3.5)

(2.13)(2.13)

(3.2)(3.2)

(3.3)(3.3)

(2.11)(2.11)

modifying the elements of a list

notnum

Sequences: seq( expression in a variable n, n = n0..n1);examples:

Useful list commands(a) Map command: used to evaluate a function at each element of a list. usemap (function name, the list);examples:

NB: The first argument of the map command is only the name of the function or commandYou can also use map to evaluate a multi-variable function(b) map (function/command name, the list, argument 2, argument 3, etc);examples:

we can compute the derivatives of the elements of somelist using

(5.4)(5.4)

(5.1)(5.1)

(4.1)(4.1)

(3.6)(3.6)

(4.3)(4.3)

(5.3)(5.3)

(4.4)(4.4)

(5.2)(5.2)

(3.7)(3.7)

(4.2)(4.2)

(c) map2 ( function name, argument1, list, argument2, etc );example:

NB: isolate is similar to solve but it returns answers in form of equations

Zip commandCan be used if both of the arguments of a two variable functions are listszip (function name, first list, second list );example:

sorting listssort command arranges the elements in ascending order example:

for descending order, we can used a boolean function of the formsort (list, boolean function)

select : selects all elements of s list that meet a specified Boolean conditionremove: removes all elements of a list that meet certain boolean conditionselect(Boolean condition, list);remove(Boolean condition, list);

(6.4)(6.4)

(3.6)(3.6)

(6.6)(6.6)

(6.3)(6.3)

(6.5)(6.5)

(6.1)(6.1)

(6.2)(6.2)

lets construct a list say listB and do these operations on it

or we can remove the primes from the list

We can combine both commands