MA1100 module info - qwertyuiopasdfghjkl;zxcvbnm, PDF

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Module Information

MA1100 Fundamental Concepts of Mathematics 2018/2019 Semester I Lecture Hours: Mon 8.00-9.30am/ Fri 2.00-3.30pm (LT28) Lecturer: A/Prof Tan Victor Email: [email protected]; Office: S17 #07-22; Tel: 6516-7936 Aims and objectives: This module introduces the language, notions, and methods upon which a sound education in mathematics at the university level is built. Students are exposed to the language of mathematical logic, the idea of rigorous mathematical proofs and fundamental mathematical concepts such as sets, relations and functions. Main Topics:  Logic (LG)  Proof (PF)  Mathematical Induction (MI)  Sets (ST)

  

Functions (FN) Relations (RN) Number Theory (NT)

Assessment:  Final examination 60% - 26 Nov (1 to 3pm) (close book with 1 helpsheet)  Mid-term test 20% - 5 Oct (2 to 3pm) at MPSH (close book with 1 helpsheet)  Homework 10% - 4 homework sets to be handed in  Class participation 10% - lecture quiz 8% and tutorial participation 2% Homework:  There are all together 4 homework sets (HW)  The problem sets and marking scheme will be available in IVLE workbin.  Hand in the HW by end of Friday lectures on weeks 4, 6, 9 and 11.  Late submission will not be accepted without valid reason. Lecture Quiz:  There are altogether 18 Lecture Quizzes (LQ) conducted during 18 lectures (see Lesson Plan on page 3).  There will be 2 to 3 questions per lecture quiz. Every correct answer is worth 1 mark.  Scope of each quiz will be related to that particular lecture.  There will be more than 40 quiz questions across the 18 lectures.  Students who accumulate 40 marks will get full mark for the LQ. Lecture notes: PowerPoint Slides for each lecture will be available on IVLE Workbin one day before the lecture.

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Module Information

Tutorial class:  4 groups: T01 (Thu 10-11), T02 (Fri 8-9), T03 (Thu 3-4), T04 (Fri 4-5)  There are all together 11 tutorial sets (TS).  The tutorial problems will be available in IVLE workbin.  Weekly meeting with tutors, starting from week 3. Students are expected to work through the tutorial problems before attending tutorial classes.  Attendance will be taken. 2 class participation points will be awarded for attendance and presentation. Signing up for tutorial groups:  NUS students  balloting: Aug 17-22 (through CORS)  add/drop: Aug 23 (through CORS)  manual: Aug 24 (through lecturer)  Non-NUS students: manual registration with lecturer before Aug 17. LumiNUS (https://luminus.nus.edu.sg)  Forum: For students to post anything about this module.  Files: Download course materials (problem sets, PowerPoint slides…)  Announcements: Watch out for class announcement about the module.  Gradebook: View the scores of your continuous assessments  Survey: Feedback from students  Web Lectures: View the recorded lectures

Reference Books: Title

Authors

Publisher

Chapters

Fundamental Concepts of Mathematics (2nd edition) Main reference Softcopy available

Compiled by V.Tan

Cengage

All

Discrete Mathematics with Applications (4th edition)

Susanna Epp

Brooks/Cole

1-8

Mathematical Proofs: A Transition to Advanced Mathematics (2nd edition)

Gary Chartrand

Pearson Addisonwesley

1-11

Mathematical Reasoning: Writing and Proof (2nd edition)

Ted Pearson Sundstrom Prentice Hall

Numbers and Proofs

RBJT Allenby

Arnold

1-9 1-8

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Module Information

MA1100 Lesson Plan Textbook TutorialHomework

LQ/ Test/Exam

Week

No.

Lecture

1 Aug 13-17

1

Introduction

1.1

2

Language of Math

1.2-1.3

2 Aug 20-24

3

Logic

2.1-2.2

LQ1

4

Logic

2.2-2.3

LQ2

3 Aug 27-31

5

Logic

3.1-3.2

6

Logic

3.3-3.4

4 Sep 3-7

7

Proof (e-learning)

4.1-4.2

8

Proof

4.2-4.4

5 Sep 10-14

9

Proof

4.4-4.6

10

Proof

4.6-4.7

11

Math. Ind.

5.1-5.2

12

Math. Ind.

5.2-5.3

7 Oct 1-Oct 5

13

Revision I

8 Oct 8-12

14

Sets

6.1-6.2

15

Sets

6.2-6.3

9 Oct 15-19

16

Functions

7.1-7.2

17

Functions

7.2-7.3

18

Functions

7.4

19

Relations

8.1-8.2

11 Oct 29-Nov 2

20

Relations

8.2-8.3

21

Number Theory

9.1-9.2

12 Nov 5-9

22

Number Theory

9.2-9.3

23

Revision II

6 Sep 17-21

LQ3

TS1 LG TS2 LG

LQ4 HW1 LG

LQ6

TS3 PF TS4 PF

LQ5

LQ7 HW2 PF

LQ8 LQ9

Term break

10 Oct 22-26

13 Nov 12-16

TS5 PF/RV

Test

Oct 5, 2pm LQ10

TS6 MI TS7 ST

LQ11 HW3 MI/ST

TS10 RN/NT

LQ13 LQ14

TS8 FN TS9 FN/RN

LQ12

LQ15 HW4 FN

LQ16 LQ17 LQ18

TS11 NT/RV

Reading Week Exam week

Exam Nov 26, 1pm

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