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MA2155 Mathematical Methods and Analysis I
Part I Course Duration: One semester Credit Units: 3 Level: B2 Medium of Instruction: English Prerequisites: Nil Precursors: Nil Equivalent Courses: MA2147 Foundation Mathematics Exclusive Courses: Nil Part II Course Aims This course aims to develop an understanding of elementary linear algebra and differential calculus. It provides students with the skills of solving scientific and engineering problems formulated as linear systems, one dimensional optimization problems and nonlinear algebraic equations. Course Intended Learning Outcomes (CILOs) No. CILOs Weighting (if applicable) 1. explain concepts from linear algebra and single variable calculus. 1 2. evaluate derivatives and integrals of univariate functions. 3 3. implement basic operations for complex numbers, vectors, matrices, determinants, and solve systems of linear equations. 3 4. use method of vectors in deriving equations of lines and planes. 1 5. apply mathematical and computational methods to a range of scientific and engineering applications involving linear algebra, calculus and complex numbers. 2 6. the combination of CILOs 1--5 3 Teaching and Learning Activities (TLAs) TLAs CILO No. Hours/week Learning through teaching is primarily based on lectures. 1--6 32 hours in total Learning through tutorials is primarily based on interactive problem solving allowing instant feedback. 2 2 hours 3, 4 2 hours 1 1 hour 5 2 hours Learning through take-home assignments helps students understand basic concepts and techniques of basic linear algebra, single variable calculus, complex numbers, and some applications in engineering science. 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--5 after-class Assessment Tasks/Activities 30% Coursework 70% Examination (Duration: 3 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 CILO No. Weighting (if applicable) Remarks Test 15-30% Questions are designed for the first part of statistics to see how well the students have learned the basic concepts, and techniques of basic linear algebra and single variable calculus as well as some applications. Hand-in assignments 0-15% These are skills based assessment to see whether the students are familiar with the basic concepts, techniques of linear algebra, elementary calculus, complex numbers and their related applications in engineering. Examination 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 elementary linear algebra and calculus, and complex numbers. Formative take-home assignments 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 Differentiation and Applications. Integration and Applications. Complex Numbers. Vectors, Matrices, Determinants and System of Linear Equations. Coordinate Geometry in Space, Vector Equations of Lines and Planes. Related Links
Department of Mathematics |
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