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APM2613 Assignment 1 2022 Semester 1
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12 ADDENDUMADDENDUM A: ASSIGNMENTS
ASSIGNMENT 01
(COMPULSORY ASSIGNMENT FOR EXAM ADMISSION)
Due date: 08 April 2022
Total Marks: 100
YEAR MODULE
This assignment covers:
Basic theory of functions material and iterative methods for solving nonlinear equa-
tions of one variable, error analysis for iterative methods.
IMPORTANT
• This is a multiple choice assignment. ALL the questions must be answered on a mark
reading sheet which you then post to the University. Before answering this assignment,
consult the publication Study @ Unisa on how to submit your assignments online and then
complete the assignment and submit online, using myUnisa.
• You are allowed to use a suitable computer software as a computational tool for calculations.
See Tutorial Letter 102 for the relevant information.
• Keep your rough work so that you can compare your solutions with those that will be sent to
you after the closing date.
• 10 marks will be awarded for every correct answer.
Question 1 [10 marks]
To have an idea on whether we should apply the bisection method to determine the root of f (x) = 0
in a given interval, we may
(1) draw the graph of f (x) and observe the graphs then conclude
(2) check if f (x) and f 0 (x) are continuous then conclude
(3) apply the function f (x) to the endpoints of the given interval and check the sign of the corre-
sponding outputs.
16
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