Mathematics 1

Course Description

This course aims to provide a broad introduction to the fundamental mathematical techniques (single- and multi-variable differentiation and integration) and mathematical objects (vectors, complex numbers and functions of several variables) needed by engineers. The course builds on the foundations laid in secondary school mathematics and in turn aims to lay the foundation for more advanced mathematics courses that follow. Topic areas include vectors, complex numbers, differentiation with applications, integration and its applications and functions of several variables.
 

 

Objectives/Learning Outcomes/Capability Development

At Associate level this course contributes to the following program learning outcomes:

1.1 Descriptive, formula-based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the practice area.

1.2 Procedural-level understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the practice area.

1.4 Discernment of engineering developments within the practice area.

At Bachelor level this course contributes to the following program learning outcomes:

1.2 Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline

 

On completion of this course you should be able to:

Use vector algebra including scalar/vector products to determine equations of lines and planes in three dimensions and intersections/angles between them.

Recognise the properties of complex numbers and manipulate complex numbers in both rectangular and polar forms to find nth roots, to solve algebraic equations.

Apply the techniques of differential calculus to formulate and solve problems including the applications.

Apply the techniques of integral calculus to formulate and solve problems including the applications.

Find the partial derivative and double integration for functions of several variables.

 

 

Overview of Learning Activities

The learning activities included in this course are:

Students will need to attend classes, which will be a combination of lectures and tutorials. Students will be provided with printed exercise books and they need to complete the exercises within and outside class times.

 

Overview of Learning Resources

You will be able to access course information and learning materials through the course Blackboard. Your course Blackboard will give you access to important course-related information such as announcements, staff contact details, online lecture notes and exercises, tutorials, assignment, and other learning resources. Access to Blackboard will be instructed in details in the course introduction session.

You are advised to check your student e-mail account daily for important announcements.

 

Overview of Assessment

☒ This course has no hurdle requirements.

☐ All hurdle requirements for this course are indicated clearly in the assessment regime that follows, against the relevant assessment task(s) and all have been approved by the College Deputy Pro Vice-Chancellor (Learning & Teaching).

Assessment for MATH2167 (City Campus)

Assessment 1: Maths Ready Test Knowledge

Weighting towards final grade (%): 3
this task assesses the following course learning outcomes: 
 PLO 1.1, 1.2, 1.4   CLO 1, 2, 3, 4

Assessment 2: Project

Weighting towards final grade (%): 20            
this task assesses the following course learning outcomes:

PLO 1.1, 1.2, 1.4  CLO 1, 3, 4

Assessment 3: Class Tests

Weighting towards final grade (%): 27           
this task assesses the following course learning outcomes:

PLO 1.1, 1.2, 1.4  CLO 1, 2

Assessment 4: Final Examination

Weighting towards final grade (%): 50           
this task assesses the following course learning outcomes:

PLO 1.1, 1.2, 1.4  CLO 3, 4, 5

 

Assessment for MATH2239 (Vietnam Campus)

Assessment 1: Class Quizzes

Weighting towards final grade (%): 30
this task assesses the following course learning outcomes: 
 PLO 1.2   CLO 1, 2, 3, 4, 5

Assessment 2: Assignment

Weighting towards final grade (%): 20      
this task assesses the following course learning outcomes:

PLO 1.2   CLO 1, 2, 3, 4, 5

Assessment 3: Final examination

Weighting towards final grade (%): 50      
this task assesses the following course learning outcomes:

PLO 1.2   CLO 1, 2, 3, 4, 5