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所在平台: Udemy |
课程主页: https://www.udemy.com/course/linear-algebra-methods-and-strategies/
课程评论:没有评论
**课程名称:** 从零开始掌握线性代数 **课程概述:** 本课程旨在帮助您逐步理解线性代数的概念,并能独立解决标准问题、多数难题以及考试和职业生涯中遇到的复杂问题。课程还将教授如何使用Python进行线性代数编程,并将其应用于几何学等领域。线性代数对于学生、专业人士和新晋教师都极其有用。 **学习线性代数的重要性:** 线性代数是在当今世界中找寻高薪职位的绝佳机会。它是工程师、经济学家、生物学家、数据科学家和计算机科学家等领域最常用的数学分支。它用于数据矩阵化、设计、分析和解决复杂系统、解决几何和距离问题,以及理解算法的工作原理。此外,线性代数也是数学家们在微积分、分析、概率、统计、机器学习、图论和线性规划等领域最常使用的数学分支。 **课程结构:** 本课程分为多个会话,每个会话包含简短的视频讲座,后跟附带详细解答的PDF方法和热身练习。课程还将提供更多练习,包括选择题、判断题、小测验、难题、几何可视化和Python代码等。 每个视频都将聚焦一个“如何做一个新的事情”的问题,以清晰的策略来阐明线性代数的疑难概念,并解决全球线性代数课程中常见的经典问题。课程鼓励在论坛中提问和互相帮助。 **课程关键部分:** * **视频讲座和热身练习:** 被称为“热身”是因为任何新任务都需要准备,如同体育或游戏训练。目的是让新概念流畅地融入您的思维。如同父母扶持婴儿学步,逐步引入新概念和简单练习,帮助您掌握主题并流畅应用。 * **大量练习:** 包括选择题、判断题、小测验、难题等,旨在巩固所有知识点,提高识别能力。熟能生巧,大量的练习是提高的关键。 * **难题:** 训练如同世界级体育冠军的培养,或珠宝匠的精湛技艺,旨在提升思维和推理能力。遇到难题时,参照解决方案,反复练习直至掌握。 **如何克服线性代数学习的困难:** 最佳学习方法是独立解决热身练习,将其视为应用方法和策略的示例和第一步。之后,您可以根据需要进行更多练习。 **课程状态:** 课程仍在建设中,每周都有更新。您的鼓励和问题将非常宝贵。本课程旨在培养未来的职业人才和杰出头脑。
By the end of this course,You will be able to understand the new concepts of linear algebra step by step.You will be able to solve by yourself the majority of the standard and many original questions,You will be able to solve by yourself the majority of hard problems , that you will encounter in your exams or in your professional life.You will be able to code linear algebra and solve in python.you will be able to apply linear algebra in geometry and so on.This course is extremely useful for students, professional and new instructors.Why Linear algebra?Linear algebra is a great opportunity to find a prestigious job in the future.Linear algebra is the most used math branch by engineers, economists, biologist, data scientists, computer scientists...This is to make data in matrix,This is to design, analyze and solve complex systems,This is to solve geometry and distance problems,This is to understand how algorithms work.Linear algebra is the branch of mathematics most used by mathematicians:in differential calculus, analysis, probability, statistics, machine learning, graph theory and linear programming.What is the structure of this course?I have divided this course into many sessions.Each session divided into short video lecture.Followed by methods and warm-up with detailed solutions in pdf file.Other exercises will come.MCQ, true or false, quiz, hard problem,geometric visualization and codes in python and other applications will be in this course.Each video answers a question How to do just one new thing?to clarify the difficult concepts of linear algebra.and gives a clear strategy for solving the classic and usual problems needed in worldwide, linear algebra courses.this course is open to your questions, and I would be very happy to answer your questions in the forum where I strongly encourage mutual aid.What are the key parts of this course?the key parts of this course are the videos and the warm up.The reason I called it warm up,is because any new job requires preparation.It is like a game in machine or a sport in real life.methods and new concepts must be fluidand enters your mind like water.it's like a baby's first steps, where your parents hold your hands to teach you to walk, how to speak simple words like mama, dadda.is to introduce new concepts step by step with easy problems.those problems that help you practice this topic and understand how it works with fluency.The video lectures, methods and warm-up are to answer the famous questions:How to do linear algebra?And to understand new concepts step by step with fluency.You should definitely take a look at everything in there. even if you see it very simple.and if you see a difficult thing, you have to repeat it again and again, because this part of the course is the basis of all linear algebra and we cannot advance in the course if we don't dominate it.Why so many problems?And then you get MCQ, true or false, quiz, hard problem, long problem…That mix everything together. You walk, run and say nice understandable phrases.by doing a lot of problems, you will improve your recognition skills, so a big part of this course is about pattern recognition.and that just takes practice. you must practice as much as you can.So, the more practice problems, you do the better.Why hard problems?Doing hard problems is like the formation of world champions in sports.is like the work of a great jeweler who creates the royal jewels, it's the professionalism.it is to improve thinking and reasoning skills.But if you cannot do a hard problem, you can take a look on the solution, then redo the problem again and again until you have mastered it.Don't forget it's a practice.you have to know the known, to look for the unknown.How to overcome linear algebra difficulties?The best way to learn this course to find the solution for these warm up problems by yourself, you can also consider this as a kind of example and firsts steps to apply the methods and strategy.then make more problems as you can or as you need.This course is under construction.So, every week something new.I will be very happy to receive your encouragement and your questions.This is for the jobs of tomorrow.This is to form great minds of tomorrow.