Mathematics Placement Test

Purpose of the Test

The Mathematics Placement Test is a pass-fail test! It tests a student's mathematical ability for studying calculus and other areas of mathematics in engineering. The test results are used to determine eligibility for enrollment in MATH1510 (Calculus for Engineers) in order to complete one of the graduation requirements for an Engineering programme.

Students who fail the test must take both MATH1020 (General Mathematics) and MATH1510 (Calculus for Engineers) in Term 1, 2020-21. Students who pass the test will only have to take MATH1510.

There are no exemptions made for the placement test!

Placement Test Schedule

The placement test is scheduled for Thursday, 20th August 2020. It will be held online via WeBWork. Please ensure that you have a stable internet connection. Students will be notified of the link to the test, login information and the exact test time individually by email.

 

General Characteristics of the Test

  1. The test consists two parts. In each part, there are 15 multiple-choice questions.
  2. Notes and calculators are permitted during the test.
  3. A student who for medical or other compelling reasons is unable to sit for the placement test shall apply with documentary evidence by email to math1510@math.cuhk.edu.hk on or before 21st August 2020 (Friday). No late request or request without supporting documents will be considered. Family obligations, summer jobs, job interviews or other unexpected events are not acceptable reasons in general and will result in a fail grade for the placement test.
  4. If a student's application for absence is approved, an online make-up placement test, together with an online oral exam will be given. The details are to be announced. 

 

Test Description

Below is a list of topics covered in the Mathematics Placement Test, which can be used as a study guide.

  1. Functions (including but not limited to:)
  1. Domain
  2. Range
  3. Composite
  4. Inverse
  5. Piecewise
  6. Graphs

 

  1. Polynomials and Rational Functions (including but not limited to:)
  1. Factorial
  2. Binomial Coefficients
  3. Binomial Theorem
  4. Partial Fraction

 

  1. Exponential and Logarithmic Functions (including but not limited to:)
  1. Euler's Number

 

  1. Trigonometry (including but not limited to:)
  1. Radian
  2. Inverse Trigonometric Functions

 

  1. Sequence, Series and Power Series (including but not limited to:)
  1. Summation Sign
  2. Radius of Convergence

 

  1. Vectors (including but not limited to:)
  1. Vectors in 2D, 3D
  2. Dot, Cross Product

 

  1. Probability (including but not limited to:)
  1. Mean, Variance, Standard Deviation
  2. Binomial
  3. Geometric
  4. Poisson Distribution

 

  1. Comples Numbers (including but not limited to:)
  1. Polar Form
  2. Argand Diagram
  3. De Moivre's Theorem

 

  1. Miscellaneous (including but not limited to:)
  1. Algebric Simplification
  2. Law of Indices
  3. Isolating Term
  4. Quadratic Formula
  5. Completing Square
  6. Absolute Value
  7. Rationalization
  8. Difference Quotient
  9. Inequality

 

Venue
Details will be sent through email
Date: 
Thursday, August 20, 2020
Time
Thursday, August 20, 2020
e_title: 
Mathematics Placement Test
Not Available
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Academic Counselling Session for New Students

Welcome to CUHK Engineering.

To provide students with a better understanding of the overall study arrangements of Engineering programmes, new students admitted to the Engineering Faculty should attend the Academic Counselling Session.

Organiser: 
Hosted by: Faculty of Engineering
Venue
ZOOM (Information will be provided by email)
Date: 
Tuesday, August 25, 2020
Time
Tuesday, August 25, 2020 to 17:45
e_title: 
Academic Counselling Session
Not Available
Allow Regsiter: 
Class: 
Current Student

Lu Yi-Chun opens up a new generation of batteries

Lithium-ion batteries are used to power everything from the mobile phone in your pocket to a Tesla truck. They pack a powerful current punch, making them very versatile for devices that need a brief, heavy jolt of electricity, like a digital camera.

Date: 
Monday, July 27, 2020
Media: 
Asia Today

A Breakthrough by CUHK Engineering and University of Warwick Teams T-ray Camera Speed Boosted a Hundred Times Over

Date: 
2020-07-23
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A research team from The Chinese University of Hong Kong (CUHK) and the University of Warwick has reached a crucial milestone towards developing single-pixel terahertz radiation (T-ray) imaging technology. Their single-pixel T-ray camera reached 100 times faster acquisition than the previous state-of-the-art without adding any significant costs to the entire system or sacrificing the sub-picosecond temporal resolution needed for the most sought-after applications, potentially opening the opportunity for them to be used in non-invasive security and medical screening. The breakthrough has been published in the journal Nature Communications.

The potentials and problems of Terahertz radiation

Terahertz (THz) radiation, or T-rays, sit in-between infrared and Wi-Fi on the electromagnetic spectrum. T-rays have different properties from other electromagnetic waves, most notably they can see through many common materials such as plastics, ceramics and clothes, making them potentially useful in non-invasive inspections. Another quality is that the low-energy photons of T-rays are non-ionizing, making them very safe in biological settings including security and medical screening. They are also highly sensitive to water and can observe minute changes to the hydration state of biological matter. This means that diseases perturbing the water content of biological matter, such as skin cancer, can potentially be detected using T-rays in vivo without any histological markers.

Efficient detection and generation of T-rays has been possible in laboratory settings for the last 25 years. However, THz technology is still not widely used in commercial settings as the cost, robustness and/or ease of use is still lagging behind for commercial adoption in industrial settings.

The advantages of single-pixel cameras

Professor Emma Pickwell-Macpherson from the Department of Electronic Engineering at CUHK and the Department of Physics at University of Warwick, said: “We use what is called ‘a single-pixel camera’ to obtain our images. In short, we spatially modulate the THz beam and shine this light onto an object. Then, using a single-element detector, we record the light that is transmitted (or reflected) through the object we want to image. We keep doing this for many different spatial patterns until we can mathematically reconstruct an image of our object.”

The researchers have to keep changing the shape of the THz beam many times which means this method is usually slower compared to multi-pixel detector arrays. However, multi-pixel arrays for the terahertz regime usually lack sub-picosecond temporal resolution, require cryogenic temperatures to operate or incur large equipment costs (>US$ 350,000). The setup developed by the CUHK Engineering and Warwick team, which is based on a single-element detector, is reasonably priced (~US$20,000), robust, has sub-picosecond temporal resolution (needed for accurate diagnosis) and operates at room temperature.

Professor Pickwell-Macpherson adds: “Our latest work improves upon the acquisition rate of single-pixel terahertz cameras by a factor of 100 from the previous state-of-the-art, acquiring a 32x32 video at 6 frames-per-second. We do this by firstly determining the optimal modulation geometry, secondly by modelizing the temporal response of our imaging system for improvement in signal-to-noise, and thirdly by reducing the total number of measurements with compressed sensing techniques. In fact, part of our work shows that we can reach a five times faster acquisition rate if we have sufficient signal-to-noise ratio.”

The research team led by Professor Pickwell-Macpherson has previously developed several THz devices including THz modulators that make use of the total internal reflection geometry to achieve high modulation depths across a broadband frequency range and a new approach for amplitude and phase modulation exploiting the Brewster angle. They are also working to improve the resolution of single pixel THz imaging through signal processing approaches. Future work will focus on improving the signal-to-noise and optimizing the software needed for accurate medical diagnosis, with the ultimate goal being to use single-pixel THz imaging for in vivo cancer diagnosis.

The research paper has been published in Nature Communications: https://doi.org/10.1038/s41467-020-16370-x

Read more about the research: http://bme.ee.cuhk.edu.hk/thzgroup/index.php and here: go.warwick.ac.uk/ultrafast

 

 

 

 

 

Professor Emma Pickwell-Macpherson.
.

 

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EE
Media Release

Can Speech AI Help Companies Save Cost?

Amidst the economic consequences caused by the global pandemic, automation has returned to the forefront of discussions. Across various industries, call centres and customer support are some of the sectors most vulnerable to automation, specifically to a branch of artificial intelligence (AI) called natural language processing — the art of making computers understand and communicate with human language.

Date: 
Wednesday, July 22, 2020
Media: 
LYNK

新冠疫情下的決策科學:群組測試

新冠肺炎威脅下,能否快速、大量地測試人們是否病毒攜帶者尤為重要。然而,香港至今仍未擁有足夠的測試能力。日前,香港大學盧寵茂教授指出香港需提升測試能力至每日二萬次。然而,現時實際測試水平為每日四千至五千次,與期望差距較大。我們或需安排更多資源(如測試儀器)以提升測試能力。不過,以決策科學的角度來看,我們可以嘗試更有效地運用現有資源,以提高測試能力。

Date: 
Wednesday, July 22, 2020
Media: 
Sing Tao Daily

中大新研究 助提升數據傳輸速率

互聯網發展愈益普及,對數據傳輸的容量及速度需求大增,以滿足通訊需求。中文大學電子工程學系利用連續區束縛態技術,在高折射率物料無刻蝕鈮酸鋰平台上,產生低折射率通道傳輸光子,總數據傳輸率高達每波長光載波每秒一百六十吉位元組(Gb),減低加工複雜程度及成本,卻仍保持光導低損耗,研究結果已刊載於國際頂尖科學期刊《自然通訊》。 

Date: 
Tuesday, July 21, 2020
Media: 
Sing Tao Daily

中大新研究 助提升數據傳輸速率

互聯網發展愈益普及,對數據傳輸的容量及速度需求大增,以滿足通訊需求。中文大學電子工程學系利用連續區束縛態技術,在高折射率物料無刻蝕鈮酸鋰平台上,產生低折射率通道傳輸光子,總數據傳輸率高達每波長光載波每秒一百六十吉位元組(Gb),減低加工複雜程度及成本,卻仍保持光導低損耗,研究結果已刊載於國際頂尖科學期刊《自然通訊》。

Date: 
Tuesday, July 21, 2020
Media: 
巴士的報

A Breakthrough in Photonic Integration by CUHK Engineering Team Facilitating High-speed Optical Communication to Meet the Increasing Demand

Date: 
2020-07-20
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The ever-increasing growth in data traffic requires more powerful transmission networks.  To respond to such demand, a group of researchers led by Prof. Xiankai Sun and Prof. Hon Ki Tsang in the Department of Electronic Engineering, The Chinese University of Hong Kong (CUHK) has recently revealed a way to use light to convey large rates of data in advanced optical chips. Their findings and demonstrations shed new light on increasing the data capacity with low insertion loss and crosstalk. These research results have been recently published in the prestigious scientific journal Nature Communications.

The conventional optical communication is based on total internal reflection, creating a high-refractive-index channel, for the light wave to propagate. Bound states in the continuum (BICs) refer to a type of wave that can coexist with continuous waves without any radiation loss.  Applying BICs in photonic integrated circuits enables low-loss light guidance in low-refractive-index channels on high-refractive-index substrates, lowering the cost and the complexity of processing.  The research team applied them on an etchless lithium niobate integrated photonic platform and has successfully confined light without adopting the high-refractive-index channel.

Prof. Xiankai Sun said, “The BIC concept makes it unnecessary to invent new high-refractive-index polymers to form waveguide channels on the high-refractive-index substrate or etch the substrate in order to guide light in channels in the substrate.”

Optical interconnections with ultrahigh data capacity are needed in high-performance computers and data centres.  To further increase the data transmission capacity, optical multiplexing technologies are used to transmit multiple channels of data in parallel. By making use of carefully engineered high-order BICs on a planar lithium niobate substrate, the team demonstrated the viability of the BIC concept for use in high-capacity optical communication links by using different spatial modes for mode-division multiplexing.

Prof. Sun added, “With this new technology, we can obtain an aggregate data rate of 160 Gb/s per wavelength light carrier on the lithium niobate platform which, with the additional advantages of high thermal stability and high linearity, will bring optical communication to a new level.”

Department of Electronic Engineering, CUHK

The Department of Electronic Engineering was established in 1970 by the 2009 Nobel Laureate in Physics, Prof. Charles Kao. The department aims at educating students to enhance their potential to become leaders in electronic engineering and instill in them the desire to pursue knowledge and advance the state of the art in electronic engineering, which includes hardware, software, and design aspects of electronics as the core, ranging from materials, devices, circuits to systems and their applications. The department has 21 professors and teaching staff complemented by 56 research and technical support staff members, serving 227 undergraduate students, 128 research postgraduate students pursuing PhD and MPhil degrees, and 39 postgraduate students pursuing MSc degrees.

 

The research team of Prof SUN Xiankai (1st right) and Prof Tsang Hon Ki (2nd left).

 

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Media Release

商湯聯合創始人林達華:一個優秀的開源項目應有持久生命力

新浪科技訊 7月18日上午消息,近日,商湯科技聯合創始人、香港中文大學信息工程系教授林達華在接受新浪科技等媒體採訪時,談到了商湯在技術層面的新思考,以及商湯在從技術到產業落地的過程中會遇到的挑戰。

Date: 
Monday, July 20, 2020
Media: 
新浪科技

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