Become a Trigonometry Ace

所在平台: Udemy

课程主页: https://www.udemy.com/course/become-a-precalculus-trigonometry-ace/

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课程名称:成为三角函数大师 课程概述: 《成为三角函数大师》课程旨在帮助您轻松学习三角函数,无需花费高额的大学学费,也不用在特定时间参加考试或因未按时完成作业而受到处罚。本课程由一位拥有数学博士学位和十年大学数学教学经验的教授设计,目标是为您提供最有效的学习工具和内容,确保您扎实掌握三角函数的基础知识。 课程内容以逻辑顺序构建,包括以下几个主要部分: 1. 角度(度和弧度)、象限、同终角和参考角 2. 使用角度的应用,包括弧长、圆扇的面积及线性和角速度 3. 单位圆(包括记忆技巧) 4. 六个三角函数:正弦、余弦、正切、余切、正割和余割 5. 利用三角函数解决直角三角形(SOH CAH TOA) 6. 绘制任意三角函数的图形及其图形变换(振幅、中线、水平位移和周期) 7. 反三角函数及其在解直角三角形中的应用 8. 解三角方程 9. 利用三角图形和方程建模周期现象 10. 正弦法则和余弦法则解决任意三角形 11. 应用正弦法则和余弦法则解决应用题 12. 海伦法则求三角形面积 13. 三角恒等式:理解常见的恒等式及其验证 课程逐步深入,每一部分都配有完整的视频讲座、课件及相应的测验解答视频,帮助您检验学习成果。课程结束时还有最终考试,以评估您的学习进展。 通过本课程,您将终身获得学习权限,并可在问答区提出任何问题,我会及时回应。完成课程后,您将获得官方证书。 总之,本课程提供了全面而结构化的学习体验,确保您在三角函数方面成为一名出色的学者。

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Become a Trigonometry Ace is setup for YOU to succeed and learn easily!Have you ever wanted to learn Trigonometry from a college professor but didn't want to spend all that money on a college course, be forced to take tests at certain times, and be penalized if you don't do an assignment on time? If that is you, then you have come to the right place. Having experience as a college math professor, and having a Ph.D in Mathematics, I not only know what you need to learn, but what tools you need to succeed! I have designed this course to be as useful and efficient as possible for you without skipping any of the content that you will need. In my decade of experience teaching math, I have honed in on discovering the necessary tools you will need from Trigonometry and present them in a way that is a slow and steady build on what is covered throughout the course.For each lesson in this course, you receive a downloadable lecture handout, a lecture video, and a video of me going over the quiz solutions. At the end of the course, there is a final exam so you can see the progress you made. Become a Precalculus Trigonometry Ace is organized in a logical way so you can see the overall build up of Trigonometry and has the following sections:Angles (degrees and radians), Quadrants, Coterminal Angles, and Reference AnglesApplications using Angles including Arc Lengths, Areas of Sectors of a Circle, and Linear and Angular VelocityThe Unit Circle (with tips on how to memorize, if needed)The six trig functions: Sine, Cosine, Tangent, Cotangent, Secant, and CosecantUsing trig functions to solve right triangles (SOH CAH TOA)Graphing any of the six trig functions with graph transformations of amplitude, midline, horizontal shift, and periodInverse trig functions and how to solve right triangles with themSolving trig equationsModeling periodic phenomena using trig graphs and equationsThe Laws of Sines and Cosines to solve ANY triangleApplying the Laws of Sines and Cosines to word problemsHeron's Law to find the area of a triangleTrig identities: Understanding the common identitiesVerifying trig identitiesTo be added to the course:Vectors and their applicationsPolar Coordinates and Common Polar GraphsComplex NumbersDe Moivre's Theorem (Powers and Roots of a Complex Number)Content of each section:Videos: In each section, you will get a full length lecture video. In each lecture, I first go over the "what" you will see in the section, then "how" and "why" of doing it. Then, you will see plenty of examples done. Every example is done going through a full explanation of all the steps so you can see the process done and understand it clearly. It is highly advised you follow along on your own and not just watch. Additionally, for each each section, there is a quiz solutions video where you can compare your work on the quizzes to mine. Lecture Notes: In each section, the lecture notes are (mostly) filled out for you. They are the same notes I go through and discuss in each section. I recommend downloading the lecture notes for each section and going through, following along (or maybe pause the video and try on your own) the empty spaces left for doing the problems. At the end of each lecture, there are practice problems and a quiz with an answer key. As stated above, there is also a video for each quiz's solutions as well.Quizzes: As a final mention, each section has a quiz; however, it is not a quiz built into the Udemy course. It is in the same.pdf as the lecture notes. The video solutions are uploaded directly after each lecture for ease of progression.Lastly, there will be a practice final and final exam, along with an answer key for each. The final exam will also have video solutions for those that wish to see....Not to forget:With this course, you get it for a lifetime. You also can ask questions in the Q & A section if you have them and I will respond as quickly as possible. Additionally, upon completing the course, you will get a Certificate of Completion to download.

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