Offered to students admitted to Year 1 in  ALL 

Major/Minor  ALL 
Course Type  
Offer in 2022  2023  Y N 
Course Code  MATH1853 
Date  2023/03/25 07:09 
Enquiry for Course Details 
MATH1853 Linear algebra, probability and statistics (6 credits)  Academic Year  2022  

Offering Department  Mathematics  Quota  700  
Course Coordinator  Prof G Han, Mathematics < ghan@maths.hku.hk >  
Teachers Involved 
(Dr N Wong,Electrical & Electronic Engineering) (Dr S H Cheung,Civil Engineering) (Prof G Han,Mathematics) (Prof Z Q Yue,Civil Engineering) 

Course Objectives  As the complementary course of MATH1851, students will be introduced to more topics of mathematics commonly applied in engineering so that students could be further enhanced with a concrete skill in mathematics underpinned for different engineering subjects. The course emphasizes mathematical concepts, principles, analysis, and their relationship to the modelling of engineering systems. Students could be furnished with the essential mathematical skills to analytically tackle some typical engineering problems to prepare for all the engineering subjects.  
Course Contents & Topics 
 Linear algebra [vectors and scalars, inner product, vector projection, linear dependence and independence, matrix, determinant, matrix inverse, system of linear equations, matrix equation, Gaussian elimination, Cramer's rule, matrix rank, eigenvalue, eigenvector, matrix diagonalization, positive, negative and semidefiniteness, and their applications]  Elementary complex variables [arithmetics of complex numbers, representations of complex numbers, De Moivre's theorem, roots of unity, complex functions, and their applications]  Basic probability theory [axioms of probability, conditional probability, Bayes' theorem, the total probability formula, random variable, (joint) probability distribution, expectation, variance, independence, and their applications]  Commonly used distributions [Bernoulli, Binomial, Geometric, Negative Binomial, Exponential, Poisson and Normal distribution, and their applications]  Basic statistics [point estimates, sample mean, sample variance with known or unknown mean, confidence interval for a population mean with known or unknown population variances, inference for proportion, and their applications] 

Course Learning Outcomes 
On successful completion of this course, students should be able to:


Prerequisites (and Corequisites and Impermissible combinations) 
Level 2 or above in Module 1, or Module 2 of HKDSE Mathematics or equivalent, or Pass in MATH1011, or take MATH1011 and MATH1853 concurrently in the same semester. (This course is exclusively for Engineering students.)  
Course to PLO Mapping  
Offer in 2022  2023  Y 1st sem 2nd sem  Examination  Dec May  
Offer in 2023  2024  Y  
Course Grade  A+ to F  
Grade Descriptors 


Course Type  Lecturebased course  
Course Teaching & Learning Activities 


Assessment Methods and Weighting 


Required/recommended reading and online materials 
D.C. Lay: Linear Algebra and its Applications (AddisonWesley, 2012, 4th ed.) S.J. Leon: Linear Algebra with Applications (Pearson Education, 2006, 7th ed.) G. James, et al.: Modern Engineering Mathematics (Pearson Education, 2008, 4th ed.) C. Rorres and H. Anton: Applications of Linear Algebra (Wiley, 1984, 3rd ed.) E. Kreyzig: Advanced Engineering Mathematics (Wiley, 2006, 9th ed.) 

Course Website  http://moodle.hku.hk/  
Additional Course Information 
There will be no 'makeup' for a missed quiz or assignment under normal circumstances. Students are advised not to take MATH1851 and MATH1853 together in the same semester. This course is offered by the Department of Mathematics and the Faculty of Engineering. Timetable: https://hkumath.hku.hk/~math/Timetable/Timetable2223_S1.pdf https://hkumath.hku.hk/~math/Timetable/Timetable2223_S2.pdf 
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