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所在平台: Udemy |
课程主页: https://www.udemy.com/course/bridging-maths-to-university/
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课程名称：大学数学衔接课程 课程概述：本课程介绍了您在大学中将遇到的多个主题。作为剑桥大学的毕业生，我们深知在进入大一讲座之前希望了解的内容和主题。参加本课程将使您在快节奏的大学生活中处于更有利的位置。您将获得课程的所有视频及每个视频对应的练习材料，这将帮助您吸收内容，并将所学知识付诸实践。 在本课程结束时，您将： - 为应对大一数学讲座和问题做好出色准备。 - 获得多个数学领域的基础知识，以便能够进行进一步的独立研究。 - 理解您预大学阶段的知识是如何融入大学数学结构中的。 我们注意到课程结构中并没有列出具体的主题，这都是有意而为的。因为我们的一个主要卖点是向您简明扼要地呈现我们进入大学前希望了解的内容（而是为每个讲座分配了一个“代码”）。这样也有助于您理解自己对哪几个领域的大学数学特别感兴趣。这一点尤其重要，因为您可能会对纯数学和应用数学有偏见。我们的课程将展示，在学习数学的过程中，您的兴趣很有可能会发生变化。观看我们的“纯数学与应用数学”视频，您会了解到，预大学阶段的“纯数学”成为了大学阶段“应用数学”的基础。大学的纯数学更加深入，您将花费大量时间和精力证明之前学习的数学理论有严谨的基础。应用数学则是扩展您已经掌握的技术（如微积分），并将其应用于各种情境。 请不要误解这个课程为您大学经历的全部，其实这只是一小部分。因此，本课程应被视为进一步准备的踏脚石，帮助您研究在此课程中感兴趣或感到稍微薄弱的特定主题。 让我们一起踏上这一旅程，弥补通向大学数学的间隙吧！
This course introduces many of the topics that you'll encounter at university. As graduates of the University of Cambridge, we know the topics and content we wished we'd seen before starting first-year lectures. Taking this course will put you in a stronger position to stay ahead of fast-paced university life.You'll get access to all of the videos from the course, along with accompanying worksheets for each video. This will allow you to absorb the content, before putting what you've learnt into practice.By the end of this course, you will have:Excellent preparation for tackling first-year university mathematics lectures and problemsBasic knowledge in several different fields of mathematics, so that you're ready to conduct further independent researchUnderstanding of how your pre-university knowledge flows into the structure of university mathematics You may have noticed that our course structure does not list the exact topics that we'll be covering in this course. This is intentional, since one of our key selling points is that we're giving you a concise presentation of the content we wished we'd known before entering university (instead we've given each lecture a 'code'). This will also help you to understand what areas of university-level mathematics you prefer. This is especially important, since you may have pre-conceptions about preferring pure over applied, or vice-versa. Our course will demonstrate that it's extremely possible that your interests change while studying mathematics. Watch our 'Pure vs Applied' video for more detail, but the key point is that the 'pure' of pre-university mathematics becomes the applied of university mathematics. Pure maths at university is even purer still - you'll spend hours, days, weeks showing that the mathematics you've learnt so far has a rigorous foundation. Applied maths takes the techniques that you've learnt (such as Calculus), extends them significantly, and then applies them to various contexts.We should be under no illusion that this is the entirety of your university experience, packaged into a small number of lectures. As such, this course should be treated as a stepping stone to further preparation, researching into specific topics that you've enjoyed in this course, or areas you think you may be slightly weaker on.So, join us on this journey, as we bridge the gap to university maths together!
