Sets and functions. Real numbers.
Sequences, convergence, subsequences, limit points.
4CCM115A is for the 1st year students on:
Maths BSc and MSci,
Maths with Management and Finance BSc,
Maths and Physics BSc and MSci,
Maths and Physics with Astrophysics BSc,
Maths and Philosophy BA,
and Junior Year Abroad (JYA) students.
5CCM115B is for
Maths & Computer Science BSc (2nd year students).
Assessment 4CCM115A and CM115A:
There are three tests during the semester, and a fourth test in January, which count for
20% of the final mark. The remaining 80% of the course marks are assessed by a two-hour
written examination at the end of the academic year.
Assessment 5CCM115B:
The course is assessed by a three-hour written examination at the end of the academic
year.
Exercise sheets will be placed here on a weekly basis and written
answers must be given in to your tutor by the due date.
You are expected to print out these assignments yourself and
take them with you to the tutorial.
Assignment 1 (take this with you to the tutorial session during week 2;
submit at the tutorial session during week 3)
and
Solutions 1
Assignment 2 (take this with you to the tutorial session during week 3;
submit at the tutorial session during week 4)
and
Solutions 2
Assignment 3 (take this with you to the tutorial session during week 4;
submit at the tutorial session during week 5)
and
Solutions 3
Assignment 4 (take this with you to the tutorial session during week 5;
submit at the tutorial session during week 6)
and
Solutions 4
Assignment 5 (take this with you to the tutorial session during week 6;
submit at the tutorial session during week 7)
and
Solutions 5
Assignment 6 (take this with you to the tutorial session during week 7;
submit at the tutorial session during week 8)
and
Solutions 6
Assignment 7 (take this with you to the tutorial session during week 8;
submit at the tutorial session during week 9)
and
Solutions 7
Assignment 8 (take this with you to the tutorial session during week 9;
submit at the tutorial session during week 10)
and
Solutions 8
Assignment 9 (take this with you to the tutorial session during week 10;
submit at the tutorial session during week 11)
and
Solutions 9
Assignment 10 (take this with you to the tutorial session during week 11;
you will not need to submit this sheet)
and
Solutions 10
Test 1: 17 October
This test is based on Section 1 (Sets and funcions) and Seciton 2.1 (Logic).
For practice, do assignment sheets 1,2.
Mock class test 1 for your practice and
answers
Class test 1 and answers
Test 2: 14 November
This test is based on Section 3 (Real Numbers) and Section 4 (Sequences: Convergence).
For practice, do assignment sheets 4,5.
Mock class test 2 for your practice and
answers
Class test 2 and answers
Test 3: 5 December
This test is based on Section 5 (The algebra of limits and the sandwich theorem)
and Section 6 (Standard sequences and rates of convergence). For practice,
do assignment sheets 7,8.
Mock class test 3 for your practice and
answers
Class test 3 and answers