City University of Hong Kong
Course Syllabus
offered by Department of Mathematics
with effect from Semester __A____ 20_15_ / 16__
Part I Course Overview
Engineering Mathematics and Statistics
Course Title:
MA2177
Course Code:
One semester
Course Duration:
3
Credit Units:
B2
Level:
Arts and Humanities
Study of Societies, Social and Business Organisations
Proposed Area:
(for GE courses only) Science and Technology
Medium of English
Instruction:
Medium of English
Assessment:
MA1200 Calculus and Basic Linear Algebra I /MA1300 Calculus and Basic
Linear Algebra II and MA1201 Enhanced Calculus and Linear Algebra I
Prerequisites: /MA1301 Enhanced Calculus and Linear Algebra I or MA2176 Basic Calculus
(Course Code and Title) and Linear Algebra_or equivalent_
Precursors: Nil
(Course Code and Title)
Equivalent Courses: Nil
(Course Code and Title)
MA2506 Probability and Statistics
MA2172 Applied Statistics for Science and Engineering
MA2181 Mathematical Methods for Engineering
Exclusive Courses: MA3160 Probability and Stochastic Processes
(Course Code and Title) MA3181 Financial Mathematics II
Course Syllabus 1
Jan 2015
Part II Course Details
1. Abstract
(A 150-word description about the course)
This course aims to develop a basic understanding of a range of mathematics tools with emphasis on
engineering applications in order to support later courses in mechanical and electronic themes. It is
intended for students to solve some statistical problems and ordinary differential equations by analytical
methods. Fourier series and Laplace transforms are also introduced. The course will help students
develop skills and the ability to think quantitatively and analyse problems critically.
2. Course Intended Learning Outcomes (CILOs)
(CILOs state what the student is expected to be able to do at the end of the course according to a given standard of
performance.)
No. CILOs# Weighting* Discovery-enriched
(if curriculum related
applicable) learning outcomes
(please tick where
appropriate)
A1 A2 A3
1. explain at high levels concepts from differential equations, 10% √
probability and statistics.
2. implement basic operations in Fourier series, Laplace 20% √
transforms and probability theory.
3. solve some differential equations, explicitly or by series 30% √
and transforms.
4. perform statistical computations. 30% √
5. develop statistical models or mathematical models through 10% √ √ √
differential equations and probability theory, and perform
computations for some applications.
* If weighting is assigned to CILOs, they should add up to 100%. 100%
#
Please specify the alignment of CILOs to the Gateway Education Programme Intended Learning outcomes
(PILOs) in Section A of Annex.
A1: Attitude
Develop an attitude of discovery/innovation/creativity, as demonstrated by students possessing a strong
sense of curiosity, asking questions actively, challenging assumptions or engaging in inquiry together with
teachers.
A2: Ability
Develop the ability/skill needed to discover/innovate/create, as demonstrated by students possessing
critical thinking skills to assess ideas, acquiring research skills, synthesizing knowledge across disciplines
or applying academic knowledge to self-life problems.
A3: Accomplishments
Demonstrate accomplishment of discovery/innovation/creativity through producing /constructing creative
works/new artefacts, effective solutions to real-life problems or new processes.
3. Teaching and Learning Activities (TLAs)
(TLAs designed to facilitate students’ achievement of the CILOs.)
TLA Brief Description CILO No. Hours/week (if
1 2 3 4 5 6 applicable)
Lectures Learning through teaching is 39 hours in
primarily based on lectures. total
Tutorials 2 hours
2 hours
Learning through tutorials is
2 hours
primarily based on interactive 1 hour
2
problem solving allowing instant
feedback.
Take-home Learning through take-home
assignments after-class
assignments helps students
understand basic concepts and
techniques of ordinary
differential equations,
transforms, statistics, and some
engineering applications.
Online Learning through online
applications after-class
examples for applications helps
students apply statistical and
computational methods to some
problems in engineering
applications.
Math Help Learning activities in Math Help
Centre after-class
Centre provides students extra
help.
4. Assessment Tasks/Activities (ATs)
(ATs are designed to assess how well the students achieve the CILOs.)
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* Remarks
1 2 3 4 5 6
Continuous Assessment: _30___%
Test 15-30% Questions are designed
for the first part of the
course to see how well
the students have
learned the basic
concepts, and
techniques of ordinary
differential equations
and transforms,
probability theory and
some applications.
3
Hand-in assignments 0-15% These are skills based
assessment to see
whether the students
are familiar with the
basic concepts,
techniques of ordinary
differential
equations,
transforms, statistics
and related
applications in
engineering.
Formative take-home 0% The assignments
assignments provide students
chances to demonstrate
their achievements on
ordinary differential
equations,
transforms, and
statistics and their
applications learned in
this course.
Examination: _70___% (duration: 3 hours, if applicable) 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 ordinary
differential
equations,
transforms, and
statistics.
* The weightings should add up to 100%. 100%
4
5. Assessment Rubrics
(Grading of student achievements is based on student performance in assessment tasks/activities with the following rubrics.)
Assessment Task Criterion Excellent Good Adequate Marginal Failure
(A+, A, A-) (B+, B, B-) (C+, C, C-) (D) (F)
1. Test Ability to apply the High Significant Moderate Basic Not even reaching
methodology and
procedure for solving marginal levels
some ordinary
differential equations
and statistical
problems.
2. Hand-in Ability to apply the High Significant Moderate Basic Not even reaching
methodology and
assignments procedure for solving marginal levels
some ordinary
differential equations
and statistical
problems.
3. Formative Ability to apply the High Significant Moderate Basic Not even reaching
take-home methodology and
assignments procedure for solving marginal levels
some ordinary
differential equations
and statistical
problems.
4. Examination Ability to apply the High Significant Moderate Basic Not even reaching
methodology and
procedure for solving marginal levels
some ordinary
differential equations
and statistical
problems.
5
Part III Other Information (more details can be provided separately in the teaching plan)
1. Keyword Syllabus
(An indication of the key topics of the course.)
Ordinary differential equations. Fourier series. Laplace transforms. Random variables. Probability.
Distributions. Data and sample description. Estimation of parameters. Test of hypothesis. Simple linear
regression.
2. Reading List
2.1 Compulsory Readings
(Compulsory readings can include books, book chapters, or journal/magazine articles. There are also collections of
e-books, e-journals available from the CityU Library.)
1. For further detailed information, please refer to
http://www6.cityu.edu.hk/ma/ug/serv/ma2177.htm
2.
3.
2.2 Additional Readings
(Additional references for students to learn to expand their knowledge about the subject.)
1. Nil
2.
3.
