one variable
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Topics include: Advanced memory management features of C and C++; the differences between imperative and object-oriented paradigms; the functional paradigm (using LISP) and concurrent programming (using C and C++); brief survey of other modern languages such as Python, Objective C, and C#. Prerequisites: Programming and problem solving at the Programming Abstractions level. Prospective students should know a reasonable amount of C++. Yo...more
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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especial...more
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This is a series of lectures for MATH2111 "Higher Several Variable Calculus" and "Vector Calculus", which is a 2nd-year mathematics subject taught at UNSW, Sydney. This playlist provides a shapshot of some lectures presented in Session 1, 2009. These lectures focus on presenting vector calculus in an applied and engineering context, while maintaining mathematical rigour. Thus, this playlist may be useful to students of mathematics, but als...more
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This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
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In this lecture, Professor Diamond continues her discussion of hematology by describing the two major blood cell types, erythrocytes and leukocytes. She begins by reviewing erythrocytes (red blood corpuscles or RBCs) and their characteristics. She discusses differences between RBC counts in men and women and factors like exercise that impact RBC counts. She then contrasts the properties of erythrocytes with those of leukocytes, noting t...more
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In this lecture, Professor Diamond continues discussing the urinary system before moving on to introduce the basic structure and nomenclature for the endocrine system. Within the urinary system she covers renal tubules, hormonal action, accessory structures, collecting ducts, ureter, urinary bladder, and urethra. She begins by showing the quantities of blood filtered and processed by the kidneys. She describes the filtration function of...more
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Review of the Dining Philosopher Problem, Modeling Each Philosopher as a Thread, How Deadlock Can Result, How Deadlock Can be Eliminated By Limiting the Number of Philosophers That Can Eat at Once Using a Semaphore, Using a Global Variable and a Binary Lock to Track a Resource Vs. Using a Semaphore, Another Threading Example Involving FTP Downloads of Multiple Files at Once, Where Each File Is Assigned to a Thread and the Total Number of B...more
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Until now, the models we've used in this course have focused on the case where everyone can perfectly forecast future economic conditions. Clearly, to understand financial markets, we have to incorporate uncertainty into these models. The first half of this lecture continues reviewing the key statistical concepts that we'll need to be able to think seriously about uncertainty, including expectation, variance, and covariance. We apply these...more
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In the absence of a net external torque on an object, angular momentum is conserved. When an object oscillates about an axis of rotation, there is a variable restoring torque acting on the object. A review is given of equations for angular momentum and torque, and the importance of choosing the point of origin. These equations are exercised using an example of a circular orbit.
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Visualizing cheap companies - PBV versus ROE EV to Book Capital Ratios Finding the companion variable PS and EV/Sales Ratios Brand Name Value
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Example in Which Writing Past the End of Array Causes the Return Address of the Function to be Overwritten, Leading to An Infinite Loop, Example in Which Data Is Incorrectly Shared between Two Different Functions, But Can Still be Printed Out Due to the Structure of the Activation Record (Channelling), How Printf's Prototype Uses "...", Which Allows It to Take A Variable Number of Arguments, Why Parameters Are Pushed Onto the Stack From Ri...more
