Part I
Course Duration: One semester
Credit Units: 3
Level: B2
Medium of Instruction: English
Prerequisites: A-Level Pure Mathematics/Applied Mathematics;
MA1200/MA1300 and MA1201/MA1301;
MA2176 ;
MA2183 ; or equivalent
Precursors: Nil
Equivalent Courses: MA2011
Exclusive Courses: MA2149, MA2158
Part II
Course Aims
This course aims to introduce basic concepts and techniques of advanced linear algebra and multi-variable calculus. It is aimed at science and engineering major students. The course will help students develop skills in logical thinking.
Course Intended Learning Outcomes (CILOs)
Upon successful completion of this course, students should be able to:
No. | CILOs | Weighting (if applicable) |
| 1. | explain clearly concepts from linear algebra and multi-variable calculus. | 2 |
| 2. | implement main operations in matrix analysis and complex numbers. | 3 |
| 3. | evaluate Taylor series expansions of univariate functions. | 2 |
| 4. | compute partial derivatives of multivariate functions and double integrals. | 4 |
| 5. | apply mathematical and computational methods to a range of problems in science and engineering. | 2 |
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 | 39 hours in total |
Learning through tutorials is primarily based on interactive problem solving allowing instant feedback. | 1 | 1 hour |
2 | 2 hours |
3 | 1 hour |
4 | 3 hours |
Learning through take-home assignments helps students understand basic concepts and techniques of linear algebra and multi-variable calculus, and some applications in engineering. | 1--5 | after-class |
Learning through online examples for applications helps students apply mathematical and computational methods to some problems in engineering applications. | 5 | after-class |
Learning activities in Math Help Centre provides students extra help. | 1--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--3 | 15-30% | Questions are designed for the first part of the course to see how well the students have learned advanced concepts and techniques of linear algebra and multi-variable calculus. |
Hand-in assignments | 1--5 | 0-15% | These are skills based assessment to see whether the students are familiar with concepts and techniques of advanced linear algebra and multi-variable calculus and some applications in science and engineering. |
Examination | 1--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 advanced linear algebra and multi-variable calculus. |
Formative take-home assignments | 1--5 | 0% | The assignments provide students chances to demonstrate their achievements on linear algebra and multi-variable calculus learned in this course. |
Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations
A−, A, A+
To achieve a grade of A, a student should
· have complete, or close to complete, mastery of mathematical concepts and techniques in this course,
· and have demonstrated very high levels of fluency in mathematical writing and synthesis of knowledge, as evidenced by the successful application of mathematical methods in science and engineering problems.
B−, B, B+
To achieve a grade of B, a student should
· have good or very good mastery of mathematical concepts and techniques in this course,
· and have demonstrated good to very good levels of fluency in mathematical writing and synthesis of mathematical knowledge in applications to science and engineering.
C−, C, C+
To achieve a grade of C, a student should have good working knowledge
· of mathematical concepts and techniques in this course,
· or, alternatively, of most of the concepts and techniques in this course, together with some demonstrated ability to synthesize them in applications to science and engineering.
D
To achieve a grade of D, a student should have some working knowledge
· of mathematical concepts and techniques in this course,
· or, alternatively, of some of the concepts and techniques in this course, together with some demonstrated ability to synthesize them in at least one application to science and engineering.
Part III
Keyword Syllabus
Complex numbers. Vectors, matrices and determinants. Linear dependence, orthogonality. Systems of linear equations. Eigenvalues and eigenvectors. Functions of several variables. Partial differentiation. Taylor series. Double integrals.
