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I am now deciding between which 2 of the following 3 courses to take 1) Optimisation Theory: Unconstrained and equality optimization models, constrained problems, optimality conditions for constrained extrema, convex sets and functions, duality in nonlinear convex programming, descent methods, conjugate direction methods and quasi-Newton methods. Textbook: "S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004." 2) Real Analysis: This is an introductory course on the Lebesgue integration theory on real line. Topics include: measurable sets, measurable functions, Lebesgue integral, Fatou's lemma, monotone convergence theorem, Lebesgue dominated convergence theorem and differentiation. Textbook: Real Analysis by H.L. Royden 3) Mathematical Economics (offered by Econ Department, and the grading is more lenient): This course discusses basic tools in mathematical analysis and their applications to mathematical economics. Mathematical topics include sets, functions, sequences, continuity, open sets, closed sets, compact sets, maximum existence theorem, separating hyperplanes, and fixed points. Economic topics include preference, utility, demand, competitive equilibrium, and Pareto optimality Textbook: Lecture notes by professor I have taken Calculus I to III, Linear Algebra, ODE, Probability, Basic Real Analysis, Stochastic Processes, Stochastic Calculus. I am interested in doing macro/finance stuffs (probably theory). I am quite interested in (2) as I quite enjoy Basic Real Analysis and Measure seems necessary for theory. (3) is in fact a good choice since it covers lots of topics including optimisation and fixed points, but it may seem less sophisticated. That's why I am struggling between these courses, particularly (1) and (3). Does anybody have some thoughts on this. Thanks a lot!!!!!!
While it is not entirely without merit to claim that the goals one sets for oneself are fundamental on the road to success, the goals themselves are in fact not the perfect measurement of true success. In my opinion, the goals we set for ourselves are far from enough for us to achieve true success, and therefore true success should not be primarily measured only in terms of the goals. Some might argue that an ambitious and practical goal can set a clear direction for us to prevent us from going astray. However, in order to become a truly successful person, a clear direction is not enough. In fact, a considerable number of other important qualities are required to achieve success in addition to the goals one sets for oneself. For example, if a person is not persistent in the pursuit of his goals, the goals he sets for himself would only remain as mere imagination that will never be transformed into success. Michelangelo spent four years painting his masterpiece on the ceiling of Sistine Chapel. Before the frescos were finished, however, Michelangelo went through a really hard time when he had no money and suffered painfully from the physical discomfort of constantly standing on the wooden scaffolds and paint with his face looking upwards. If Michelangelo did not have the unrelenting determination to complete his painting, he would have been regarded as only an outstanding sculptor and would never have been known as also one of the most talented painters during the Renaissance. Not only persistence is one of the deciding factors of becoming a successful person, but resilience is also a crucial indicator of success as well. Suppose a person has both set his ambitious goals and put tremendous effort and energy into his goals, but if he is afraid of failure and easily gives up once defeated, he will definitely not be able to achieve true success. Elon Musk, the legendary entrepreneur, not only made incredible lofty goals such as sending humans to Mars, devoted a considerable amount of time and energy into his visionary projects, but also possessed an uncanny resilience in front of failure. As has been proved by his own words, “If you are not failing enough, you are not innovating enough”, Elon musk refused to quit even when SpaceX had crashed its rockets so many times that it was on the brink of bankruptcy. If Elon Musk had relinquished his space projects in the face of failure, he would have become broken and trapped in huge debt, and he would never have become the successful entrepreneur and billionaire he is today. As we can see, the goals one sets for oneself are by no means an accurate measurement of true success. Without important attributes such as resilience and persistence, true success can never be attained even if the goals themselves are ambitious.
Hello, First question: I had doubts regarding the timings for Listening questions. I have been practicing from ETS official guide version 4. In this I have observed that, for Listening i have a total of 60 minutes and the time is running when the recording(either lecture or conversation) is being played. so, 60 minutes includes time for audio playing and answering questions, is this the same format for actual test? will the time be ticking when audio is being played? Second question: in the practice tests, I don't get any sets of 3, i just get one single section with 6 recordings, but in the forum i have read that we may get two or three sets? which is true, practice test pattern or what i see on the forums? the reason I am asking this question is, in practice tests, i always have enough time, but looking at other replies, it looks like i get limited 10 minutes per set(3 recordings). Third Question: When people say set of three recordings, will it always be combination of lecture and conversation or can set1 be all 3 lectures and set2 be 2 conversations and 1 lecture? Fourth question: I have seen mixed responses about "click to continue" after the recording is played, in the test will it automatically move to the questions page soon after the recording is played or i have to click to continue once the recording is played? this makes difference to me while practicing and taking real test. Please feel free to ask me if you need any clarifications regarding my questions posted above. Any reply/thoughts/feedback is help and much appreciated. Thank you, CJS