Topic 1 Units‚ Conversions‚ and Estimation 1.1 Conceptual Questions 1) The current definition of the standard meter of length is based on A) the distance between the earthʹs equator and north pole. B) the distance between the earth and the sun. C) the distance traveled by light in a vacuum. D) the length of a particular object kept in France. Answer: C Var: 1 2) The current definition of the standard second of time is based on A) the frequency of radiation emitted by cesium atoms. B)
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trigonometry by defining trigonometry functions as ratios rather than lengths of lines. Another Astronomer from Sweden discovered logarithms‚ and then another large step in Trigonometry was made by Isaac Newton whom founded differential and integral calculus. The history of Trigonometry came about mainly due to the purposes of time keeping and astronomy. Four different careers that use trigonometry are Sailors‚ Astronomy‚ Architects‚ and Surveyors. Sailors use trigonometry for geography and
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------------------------------------------------- Calculus: An Introduction to Limits ------------------------------------------------- Intuitive Look A limit looks at what happens to a function when the input approaches a certain value. The general notation for a limit is as follows: This is read as "The limit of of as approaches ". We’ll take up later the question of how we can determine whether a limit exists for at and‚ if so‚ what it is. For now‚ we’ll look at it from an intuitive
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Advanced Mathematics is designed to prepare students who wish to take tertiary courses with a high mathematical content‚ or which use a considerable amount of mathematical reasoning. In Part A‚ students study matrices‚ complex numbers‚ vectors‚ trigonometric functions and differentiation techniques. In Part B the topics covered are integration techniques and applications of definite integrals‚ differential equations and kinematics. 3. COURSE CONTENT Semester A:
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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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Mathematics Courses for the UG Program Sem Name of the courses to be offered by the Department of mathematics 1 Analysis and Linear Algebra 2 Analysis and Linear Algebra 3 Probability and Statistics 4 Multivariable Calculus and Complex Variable Elementary Algebra and Number Theory Elective Elective 5 Algebra I Linear Algebra Analysis I Topology I 6 Analysis II Complex Analysis ODE Elective 7 Algebraic Topology I Functional
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In differential geometry‚ Stokes’ theorem (or Stokes’s theorem‚ also called the generalized Stokes’ theorem) is a statement about the integration of differential forms on manifolds‚ which both simplifies and generalizes several theorems from vector calculus. The general formulation reads: If is an (n − 1)-form with compact support on ‚ and denotes the boundary of with its induced orientation‚ and denotes the exterior differential operator‚ then. The modern Stokes’ theorem is a generalization
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Projectile Motion Vectors There are multiple ways to represent an object’s motion. If the motion is two-dimensional and lies in a plane‚ some representations include: (1) recording x and y coordinates of the object at different times in a data table; (2) displaying the object’s x and y locations at regular time intervals on a diagram; (3) drawing vectors showing displacement‚ velocity‚ and acceleration and their x and y components at different times. (4) using vector equations to represent
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disease to be spread‚ all of the stars have to somehow align. The host‚ pathogen‚ and environment/vector all have to interact at the same time. The vector-borne disease triangle illustrates that without one corner‚ the transmission of the disease would not be possible. This triangle includes hosts‚ environments/vectors‚ and pathogens. Hosts are often humans‚ dogs‚ or monkeys and are fed on by a vector. Vectors usually include mosquitos‚ fleas‚ ticks‚ mites‚ and many more. The last part of the triangle
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AN ANALYSIS OF THE INTEGRATED MALARIA VECTOR CONTROL POLICY IN GHANA INTRODUCTION Malaria is a major public health problem in Ghana. It is a leading cause of morbidity and mortality‚ especially in children under five years of age and pregnant women. It is the most common cause of outpatient visits‚ hospitalization and death. Malaria is also a development problem as it has a serious socio-economic impact on families and the nation‚ through loss of work‚ school absenteeism and high levels
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