# COURSE OUTLINE: MH4930

Course Title

Course Code

### MH4930

Offered Study Year 3, Sem 1 | Study Year 3, Sem 2 | Study Year 4, Sem 1 | Study Year 4, Sem 2
Course Coordinator Ng Keng Meng (Assoc Prof) kmng@ntu.edu.sg 6513 8656
Pre-requisites Approval by Division of Mathematical Sciences
AU 4
Contact hours Lectures: 39, Tutorials: 12
Approved for delivery from AY 2020/21 semester 2
Last revised 7 Dec 2020, 10:36

### Course Aims

This course aims to expose you to special topics in mathematics and pure mathematics which are not regularly offered in any other module. The faculty who offers this course will provide you with opportunities to learn about a special topic in-depth and develop the skills and knowledge required. Through this course, you will be able to expand your horizon and become more up-to-date in your knowledge and skills in mathematics.

### Intended Learning Outcomes

Upon successfully completing this course, you should be able to:

1. Analyze problems in a special topic in mathematics using the required mathematical tools and techniques
2. Independently process and interpret concepts and methodologies related to the special topic of interest
3. Develop specific knowledge required in the special topic
4. Apply the methods and tools taught to solve problems in the special topic
5. Demonstrate a desire and identify ways to expand your knowledge in mathematics

### Course Content

To be decided by the faculty offering this course

### Assessment

Component Course ILOs tested SPMS-MAS Graduate Attributes tested Weighting Team / Individual Assessment Rubrics
Continuous Assessment
Tutorials
Assignment 1, 2, 3, 4, 5 1. a, b, c
2. b, c
3. a
4. a
5. a
15 individual See Appendix for rubric
Mid-semester Quiz
Mid-term test 1, 2, 3, 4, 5 1. a, b, c
2. b, c
3. a
4. a
5. a
25 individual See Appendix for rubric
Examination (2 hours)
Final Examination 1, 2, 3, 4, 5 1. a, b, c
2. b, c
3. a
4. a
5. a
60 individual See Appendix for rubric
Total 100%

These are the relevant SPMS-MAS Graduate Attributes.

### 1. Competence

a. Independently process and interpret mathematical theories and methodologies, and apply them to solve problems

b. Formulate mathematical statements precisely using rigorous mathematical language

c. Discover patterns by abstraction from examples

### 2. Creativity

b. Build on the connection between subfields of mathematics to tackle new problems

c. Develop new applications of existing techniques

### 3. Communication

a. Present mathematics ideas logically and coherently at the appropriate level for the intended audience

### 4. Civic-mindedness

a. Develop and communicate mathematical ideas and concepts relevant in everyday life for the benefits of society

### 5. Character

a. Act in socially responsible and ethical ways in line with the societal expectations of a mathematics professional, particularly in relation to analysis of data, computer security, numerical computations and algorithms

### Formative Feedback

Feedback will be given to students through the weekly problem tutorial sets that are covered in tutorial. Common mistakes in the assignments and the midterm test will be discussed in the provided solution sets.

### Learning and Teaching Approach

 Lectures (39 hours) Examples and Explanation - Motivates the concepts in the learning objectives through examples. The general theory and principles are then explained. This also introduces more abstract mathematical reasoning. Problem solving - Develops competence in solving a variety of problems and gaining familiarity with mathematical proofs. Tutorials (12 hours) Examples and Explanation - Motivates the concepts in the learning objectives through examples. The general theory and principles are then explained. This also introduces more abstract mathematical reasoning. Problem solving - Develops competence in solving a variety of problems and gaining familiarity with mathematical proofs.

To be decided by the faculty offering the course

### Course Policies and Student Responsibilities

(1) General

You are expected to complete all assigned pre-class readings and activities, attend all tutorial classes punctually and take all scheduled assignments and tests by due dates. You are expected to participate in all tutorial discussions and activities.

(2) Absenteeism

All assignments and CA components must be submitted on time. Failure to do so will affect your score.

Good academic work depends on honesty and ethical behaviour. The quality of your work as a student relies on adhering to the principles of academic integrity and to the NTU Honour Code, a set of values shared by the whole university community. Truth, Trust and Justice are at the core of NTUâ€™s shared values.

As a student, it is important that you recognize your responsibilities in understanding and applying the principles of academic integrity in all the work you do at NTU. Not knowing what is involved in maintaining academic integrity does not excuse academic dishonesty. You need to actively equip yourself with strategies to avoid all forms of academic dishonesty, including plagiarism, academic fraud, collusion and cheating. If you are uncertain of the definitions of any of these terms, you should go to the Academic Integrity website for more information. Consult your instructor(s) if you need any clarification about the requirements of academic integrity in the course.

### Course Instructors

Instructor Office Location Phone Email
Ng Keng Meng (Assoc Prof) MAS-05-09 6513 8656 kmng@ntu.edu.sg

### Planned Weekly Schedule

Week Topic Course ILO Readings/ Activities
1

Weeks 1-13: To be decided by the faculty offering this course

1, 2, 3, 4, 5

### Appendix 1: Assessment Rubrics

#### Rubric for Tutorials: Assignment (15%)

Point-based marking (not rubric-based)

#### Rubric for Mid-semester Quiz: Mid-term test (25%)

Point-based marking (not rubric-based)

#### Rubric for Examination: Final Examination (60%)

Point-based marking (not rubric-based)