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:
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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
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SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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Linear Model of Communication It is a one way model to communicate with others. It consists of the sender encoding a message and channeling it to the receiver in the presence of noise. Draw backs – the linear model assumes that there is a clear cut beginning and end to communication. It also displays no feedback from the receiver. • For example; a letter‚ email‚ text message‚ lecture. There are two main linear model which are used to explain the human communication process. They are .
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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
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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
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OBJECTIVE OF PROBLEM: Main objective of the problem is to maximize profit of the company‚ that produces milk made products and minimize shipping cost of these products to supply at different stores in the city. The main objective is achieve by using linear programming optimization methods. EXACT PROBLEM DEFINITION: A company produces milk made products such as‚ Cream‚ Skim milk‚ Full Cream Milk‚ butter and ghee. The company uses 3000000 liters of milk monthly for producing milk made goods. From
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Due in class Feb 6 UCI ID_____________________________ MultipleChoice Questions (Choose the best answer‚ and briefly explain your reasoning.) 1. Assume we have a simple linear regression model: . Given a random sample from the population‚ which of the following statement is true? a. OLS estimators are biased when BMI do not vary much in the sample. b. OLS estimators are biased when the sample size is small (say 20 observations)
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EMP 504 Quantitative methods in Management Name: Yi-Chun Kuo Student id: 106357165 HW #7: Linear Programming Applications Due Date: 11pm on Nov 6‚ 2008 Davis Instrument has two manufacturing plants located in Atlanta‚ Georgia. Product demand varies considerably from month to month‚ causing Davis extreme difficulty in workforce scheduling. Recently Davis started hiring temporary workers supplied by Workers Unlimited‚ a company that specializes in providing temporary employees for firms in the
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Visual Perception Pictorial depth cues are what we use to create depth and distance on a 2D canvas or paper. Linear perspective is used when two parallel lines converge together and are perceived to come to a point into the distance. We perceive this in straight roads‚ railway tracks or hallways. This image displays linear perspective on the left side on the box as it is perceived to come together despite the fact that the lines are parallel. Interposition is used when an object sits in front
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