How Calculus helps us really understand Trigonometry
2:23:52
Description
Understand Calculus in 2hrs! Learn Taylor series, Fourier analysis, limit, differentiation, and integration all at once!
What You'll Learn?
- Thorough understanding of Taylor series expansion
- Hands on experience with Fourier analysis
- Thorough understanding of differentiation
- Thorough understanding of integration
- Understand the significance of fundamental theorem of Calculus
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DescriptionThis course will teach you Calculus in a brand new way! Traditional way to learn Calculus follows a sequential model: algebra-geometry-limit-differentiation-integration. Each piece was taught on an isolated basis. Hence it’s very difficult for students to make connections. Without being able to connecting the dots, it’s impossible to obtain a deep understanding about Calculus. Therefore most students walk away with random bits of memory about Calculus, they don’t really have a coherent and systematic understanding of Calculus.
This course will do something totally different. It starts with the ultimate use of Calculus, and approach the core of Calculus step by step in a logical sequence. We wouldn’t throw you a concept out of blue, instead you will be prompted with a real problem, a problem that would encourage you to think proactively what to do next. You won’t be prompted with limit tool day 1, because there was no need at that time. Instead you will face a real problem: what should we do in order to understand sine? From there, you will see gradually the need to differentiate, then integrate. You will see why the limit tool would pop up. You would gain a thorough understanding of one of Calculus’ greatest tool: Taylor series expansion. You would also have hands-on experience with Fourier analysis.
We believe the worst way to learn math is to follow the assembly line model where things are thrown at you without you seeing the actual need. This will prevent you from engaging with the mechanics, and learning becomes a boring course of memorizing and blind practicing. We believe the best way to learn math is to think from the end use, from the real problems, then think backwards you will understand how each piece of math snap into the right place effortlessly. And this will make your math learning experience smooth and enriched.
Please join in this course if you want to have a systematic understanding of Calculus!
Who this course is for:
- Anyone who wants to learn Calculus
- Anyone who wants to understand Calculus
- Anyone who wants to know the big picture of Calculus, and how to use it in real life
This course will teach you Calculus in a brand new way! Traditional way to learn Calculus follows a sequential model: algebra-geometry-limit-differentiation-integration. Each piece was taught on an isolated basis. Hence it’s very difficult for students to make connections. Without being able to connecting the dots, it’s impossible to obtain a deep understanding about Calculus. Therefore most students walk away with random bits of memory about Calculus, they don’t really have a coherent and systematic understanding of Calculus.
This course will do something totally different. It starts with the ultimate use of Calculus, and approach the core of Calculus step by step in a logical sequence. We wouldn’t throw you a concept out of blue, instead you will be prompted with a real problem, a problem that would encourage you to think proactively what to do next. You won’t be prompted with limit tool day 1, because there was no need at that time. Instead you will face a real problem: what should we do in order to understand sine? From there, you will see gradually the need to differentiate, then integrate. You will see why the limit tool would pop up. You would gain a thorough understanding of one of Calculus’ greatest tool: Taylor series expansion. You would also have hands-on experience with Fourier analysis.
We believe the worst way to learn math is to follow the assembly line model where things are thrown at you without you seeing the actual need. This will prevent you from engaging with the mechanics, and learning becomes a boring course of memorizing and blind practicing. We believe the best way to learn math is to think from the end use, from the real problems, then think backwards you will understand how each piece of math snap into the right place effortlessly. And this will make your math learning experience smooth and enriched.
Please join in this course if you want to have a systematic understanding of Calculus!
Who this course is for:
- Anyone who wants to learn Calculus
- Anyone who wants to understand Calculus
- Anyone who wants to know the big picture of Calculus, and how to use it in real life
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Udemy
View courses Udemy- language english
- Training sessions 21
- duration 2:23:52
- Release Date 2024/12/06
