MA2147 Foundation Mathematics

Part I

Course Duration: One semester

Credit Units:4

Level: B2

Medium of Instruction: English

Prerequisites: Nil

Precursors: Nil

Equivalent Courses: MA2155 Mathematical Methods and Analysis I

Exclusive Courses: Nil

Part II      

Course Aims

This course aims to introduce the basic concepts and techniques of linear algebra and single variable calculus which are necessary for undertaking subsequent courses in the Mechanical Design and Electronic themes. It is aimed at students without A Level Pure Mathematics (or its equivalent).  The course will help students develop skills  in logic thinking.

Course Intended Learning Outcomes (CILOs)
Upon successful completion of this course, students should be able to:

No.

CILOs

Weighting (if applicable)

1.

explain concepts from basic linear algebra and single variable calculus.

1

2.

implement basic operations for complex numbers, vectors, determinants and matrices, and solve linear systems of equations.

3

3.

evaluate limits, derivatives, and integrals of univariate

functions.

3

4.

develop simple mathematical models through linear systems of equations, derivatives and integrals, and apply mathematical and computational methods to a range of problems in scientific and engineering applications involving basic linear algebra and single variable calculus.

2

5.

the combination of CILOs 1-4

3

 

Teaching and Learning Activities (TLAs)

(Indicative of likely activities and tasks designed to facilitate students’ achievement of the CILOs. Final details will be provided to students in their first week of attendance in this course)

TLAs

ILO No.

Hours/week

Learning through teaching is primarily based on lectures.

1--5

32 hours in total

Learning through tutorials is primarily based on interactive problem solving allowing instant feedback.

 

2

2 hours

3

2 hours

1

1 hour

4, 5

2 hours

Learning through take-home assignments helps students understand basic mathematical concepts and techniques of linear algebra and single variable calculus, and apply mathematical methods to some problems in scientific and engineering applications.

1--5

         after-class

Learning through online examples for applications helps students apply mathematical and computational methods to some problems in scientific and engineering applications.

4

         after-class

Learning activities in Math Help Centre provides students extra help.

2--4

         after-class

 

Assessment Tasks/Activities
(Indicative of likely activities and tasks designed to assess how well the students achieve the CILOs. Final details will be provided to students in their first week of attendance in this course)

30% Coursework

70% Examination (Duration: 2 hours, at the end of the semester)

For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.

Assessment Tasks/Activities

ILO No.

Weighting (if applicable)

Remarks

Test

1, 2

15-30%

Questions are designed for the part of linear algebra to see how well the students have learned basic concepts and techniques of linear algebra.

Hand-in assignments

1-4

0-15%

These are skills based assessment to see whether the students are familiar with  basic concepts and techniques of linear algebra and single variable calculus and some applications in science and engineering.

Examination

5

70%

Examination questions are designed to see how far students have achieved their intended learning outcomes. Questions will primarily be skills and understanding based to assess the student’s versatility in linear algebra and single variable calculus.

Formative take-home assignments

1--4

0%

The assignments provide students chances to demonstrate their achievements on linear algebra and single variable calculus learned in this course.

 

Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations

Part III

Keyword Syllabus

Vectors and coordinate geometry in space.  Matrices and determinants. Complex numbers. Sequences and series.  Differential calculus and integral calculus.  System of linear equations.

Applications.

Related Links
Department of Mathematics