DSC1520/101/3/2022
Quantitative Modelling
(DSC1520)
,2
,CONTENTS CONTENTS
Contents
1 Introduction and welcome 5
2 Purpose of module 5
3 Lecturer 5
4 Communication with the university 5
5 Student support system 6
5.1 Study groups .......................................................................................................................................... 6
5.2 Discussion classes ......................................................................................................................................... 6
5.3 Tutor classes ........................................................................................................................................... 6
5.4 Online services .............................................................................................................................................. 6
6 Study material 8
7 Syllabus for the module 8
8 Relevant sections of the text book 9
9 Learning outcomes and assessment criteria 10
10 Calculator 12
11 Study approach 13
11.1 Study time ..................................................................................................................................... 13
11.2 Study method ................................................................................................................................ 13
11.3 Study plan...................................................................................................................................... 13
11.3.1 Study unit 1: Preliminaries ...................................................................................................... 14
11.3.2 Study unit 2: Linear functions ................................................................................................ 15
11.3.3 Study unit 3: Linear algebra ................................................................................................... 16
11.3.4 Study unit 4: Non-linear functions ......................................................................................... 18
11.3.5 Study unit 5: Beginning calculus ............................................................................................ 19
12 Assessment 21
12.1 Examination ......................................................................................................................................... 21
3
, CONTENTS CONTENTS
12.2 Assignment 1, 2 and 3 (COMPULSORY!) ........................................................................................ 22
12.3 Evaluation exercises ............................................................................................................................. 23
12.3.1 How to attempt the evaluation exercises .......................................................................... 23
12.3.2 Evaluating your answers .......................................................................................................... 23
13 ASSIGNMENTS: SEMESTER 1 24
13.1 Assignment 01(COMPULSORY): MCQ format ................................................................................ 24
13.2 Assignment 02 (COMPULSORY): Written format............................................................................ 28
13.3 Assignment 03 (COMPULSORY): MCQ format ............................................................................... 31
14 ASSIGNMENTS: SEMESTER 2 35
14.1 Assignment 01 (COMPULSORY): MCQ format ............................................................................... 35
14.2 Assignment 02 (COMPULSORY): Written format............................................................................ 38
14.3 Assignment 03 (COMPULSORY): MCQ format ............................................................................... 40
15 Solutions: Self-evaluation exercises 44
15.1 Self-Evaluation Exercise 1 : Unit 1 .................................................................................................... 44
15.2 Self-Evaluation Exercise 2: Unit 2 ..................................................................................................... 54
15.3 Self-Evaluation Exercise 3 : Unit 3 .................................................................................................... 73
15.4 Self-Evaluation Exercise 4: Unit 4 ..................................................................................................... 96
15.5 Self-Evaluation Exercise 5: Unit 5 ................................................................................................... 112
4
Quantitative Modelling
(DSC1520)
,2
,CONTENTS CONTENTS
Contents
1 Introduction and welcome 5
2 Purpose of module 5
3 Lecturer 5
4 Communication with the university 5
5 Student support system 6
5.1 Study groups .......................................................................................................................................... 6
5.2 Discussion classes ......................................................................................................................................... 6
5.3 Tutor classes ........................................................................................................................................... 6
5.4 Online services .............................................................................................................................................. 6
6 Study material 8
7 Syllabus for the module 8
8 Relevant sections of the text book 9
9 Learning outcomes and assessment criteria 10
10 Calculator 12
11 Study approach 13
11.1 Study time ..................................................................................................................................... 13
11.2 Study method ................................................................................................................................ 13
11.3 Study plan...................................................................................................................................... 13
11.3.1 Study unit 1: Preliminaries ...................................................................................................... 14
11.3.2 Study unit 2: Linear functions ................................................................................................ 15
11.3.3 Study unit 3: Linear algebra ................................................................................................... 16
11.3.4 Study unit 4: Non-linear functions ......................................................................................... 18
11.3.5 Study unit 5: Beginning calculus ............................................................................................ 19
12 Assessment 21
12.1 Examination ......................................................................................................................................... 21
3
, CONTENTS CONTENTS
12.2 Assignment 1, 2 and 3 (COMPULSORY!) ........................................................................................ 22
12.3 Evaluation exercises ............................................................................................................................. 23
12.3.1 How to attempt the evaluation exercises .......................................................................... 23
12.3.2 Evaluating your answers .......................................................................................................... 23
13 ASSIGNMENTS: SEMESTER 1 24
13.1 Assignment 01(COMPULSORY): MCQ format ................................................................................ 24
13.2 Assignment 02 (COMPULSORY): Written format............................................................................ 28
13.3 Assignment 03 (COMPULSORY): MCQ format ............................................................................... 31
14 ASSIGNMENTS: SEMESTER 2 35
14.1 Assignment 01 (COMPULSORY): MCQ format ............................................................................... 35
14.2 Assignment 02 (COMPULSORY): Written format............................................................................ 38
14.3 Assignment 03 (COMPULSORY): MCQ format ............................................................................... 40
15 Solutions: Self-evaluation exercises 44
15.1 Self-Evaluation Exercise 1 : Unit 1 .................................................................................................... 44
15.2 Self-Evaluation Exercise 2: Unit 2 ..................................................................................................... 54
15.3 Self-Evaluation Exercise 3 : Unit 3 .................................................................................................... 73
15.4 Self-Evaluation Exercise 4: Unit 4 ..................................................................................................... 96
15.5 Self-Evaluation Exercise 5: Unit 5 ................................................................................................... 112
4
