MATH 1003 Calculus and Linear Algebra (Lecture 1) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 1003 1 / 18 Outline 1 About MATH 1003 2 Mathematics of Finance 3 Simple Interest Albert Ku (HKUST) MATH 1003 2 / 18 About MATH 1003 About MATH 1003 Lecturer: Albert Ku (Office: Rm 3492. E-mail: maybku@ust.hk) Teaching assistant: Dy Chun Yin‚ Li Xing‚ Lau Hing Sang and Wong Kwok Pang Office hours at Learning Commons: Fri 10:00-noon Textbook:
Premium Time value of money Interest Future value
Linear Thermal Expansion The term thermal expansion refers to the increase in size of an object as that object is heated. With relatively few exceptions‚ all objects expand when they are heated and contract when they are cooled. Perhaps the most important exception to this rule is water. Water contracts as it cools from its boiling point to about 39.2°F (4°C). At that point‚ it begins to expand as it cools further to its freezing point. This unusual effect explains the fact that ice is less dense
Premium Temperature Thermodynamics Gas
Computer Linear Algebra-Individual Assignment Topic: Image Sharpening and softening (blurring and deblurring). Nowadays‚ technology has become very important in the society and so does image processing. People may not realize that they use this application everyday in the real life to makes life easier in many areas‚ such as business‚ medical‚ science‚ law enforcement. Image processing is an application where signal information of an image is analyzed and manipulated to transform it to a different
Premium Linear algebra
The teacher’s hypothesis is horribly inaccurate. First of all‚ Scenario A is the only linear function in the group consisting of A‚B‚ and C. Scenario B is a function‚ but not linear. Scenario C is not a function. Scenario A has all the criteria of a linear function. For every independent variable (aka “x” value or input) in the domain‚ there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers‚ “x”
Premium Function Polynomial Mathematics
Linear Modeling Project The purpose of this experiment is to determine whether a player’s statistics in baseball are related to the player’s salary. The sample set was taken out of 30 players who were randomly selected from the top 100 fantasy baseball players in 2007. We displayed the information with a scatter plot‚ and then determined with a linear equation the line of best fit. Along with the line of best fit we are going to analyze the Pearson Correlation Coefficient. This value is represented
Premium Major League Baseball Baseball Statistics
Systems of linear equations‚ or a set of equations with two or more variables‚ are an essential part of finding solutions with only limited information‚ which happens to be exactly what algebra is. As a required part of any algebra student’s life‚ it is best to understand how they work‚ not only so an acceptable grade is received‚ but also so one day the systems can be used to actually find desired information with ease. There are three main methods of defining a system of linear equations. One
Premium High school Elementary algebra Linear equation
Activity 3.3Making Linear Measurements Purpose How thick is one of the hairs on your head? Could it be measured accurately with a standard inch scale? If the smallest increment on an inch scale is 1/16 inch‚ then 20 average size human hairs could fit within the space of a 1/16 inch gap. The required degree of accuracy needed is dependent on the application. If you were to build a home‚ a standard inch scale is perfect for laying out walls and locating window openings.A dial caliper is a precision
Free Measurement Metrology
POW 17- Cutting the Pie Problem Statement- If you were given a pie what is the maximum number of pieces you can produce from 4‚ 5‚ and 10 cuts? Keep in mind‚ that the slices do not have to be the same size and the cuts do not necessarily have to go through the center of the pie‚ but the cuts do have to be straight and go all the way across the pie. Include any diagrams you used to find the solution such as an In-Out table‚ or any patterns you found. Process- The first thing I did
Premium Addition
Mr. Brajesh Mishra Roll- 32024 ________________________________________________________________ LINEAR BLOCK CODES A systematic (n‚k) linear block code is a mapping from a k-dimensional message vector to an ndimensional codeword in such a way that part of the sequence generated coincides with the k message digits. The difference (n − k) represents the parity bits. A systematic linear block will have a [k × n] generator matrix [G] of the form G=[P IK ] Then the code is
Premium Hamming code Coding theory
Linear programming is a technique which shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links
Premium Elementary algebra Operations research Decision making