The Plan for Differential Equations (Differential Equations 1)

Professor Leonard
22 Aug 201803:17
EducationalLearning
32 Likes 10 Comments

TLDRIn this video script, the speaker announces an upcoming series on differential equations, expressing excitement and commitment to creating in-depth content. Despite the complexity and intimidation factor of the subject, the speaker aims to make the material understandable by providing numerous examples and clear explanations. The videos will be self-produced without a live audience, allowing for a direct and focused approach to teaching. The speaker encourages viewers to stick with the series, assuring them that with dedication, they can grasp the concepts.

Takeaways
  • 🎬 The speaker is excited to start filming a series on differential equations.
  • πŸ“… The series was announced in an August 2018 update and filming began in mid-September.
  • πŸ“š The course is being created independently, outside of the speaker's regular teaching commitments.
  • πŸ•’ The production will be time-consuming as it is not filmed in front of students and the speaker is also reducing class load.
  • πŸ“ˆ The course promises to be in-depth, with a significant focus on examples rather than proofs.
  • πŸŽ“ The speaker acknowledges that differential equations can be intimidating but assures the audience that with dedication, it can be understood.
  • πŸ‘ The speaker encourages viewers to stick with the videos and assures them that they will grasp the material.
  • πŸ“… The release schedule is set for at least one video per day on Mondays, Wednesdays, and Fridays.
  • πŸŽ₯ The videos will be direct and distraction-free, as they will be filmed without a live audience.
  • πŸ€” The speaker anticipates that the absence of immediate student questions might be a drawback but is optimistic about the format.
  • πŸ™ The speaker expresses gratitude for the support received and encourages viewers to engage on Patreon and Facebook.
Q & A
  • What topic is the speaker planning to cover in their upcoming videos?

    -The speaker is planning to cover differential equations in their upcoming videos.

  • When did the speaker announce their intention to film on differential equations?

    -The speaker announced their intention to film on differential equations in the August 2018 update.

  • Why is the speaker filming the differential equations course?

    -The speaker is filming the differential equations course because they have been excited about it for a long time and know that their audience needs it.

  • How is the speaker managing their time to create these videos?

    -The speaker is doing this on their own time, after hours, and is dropping some classes to create these videos for their audience.

  • When does the speaker plan to start posting the videos?

    -The speaker plans to start posting the videos in mid-September.

  • How frequently will new videos be posted?

    -The speaker plans to post at least one video a day on Mondays, Wednesdays, and Fridays.

  • What can viewers expect from the differential equations course?

    -Viewers can expect an in-depth course with a tremendous amount of examples, and explanations that aim to make the content understandable without necessarily covering all the proofs.

  • Why does the speaker think differential equations can be intimidating at first?

    -Differential equations can be intimidating at first because there are a lot of word problems, and the subject matter is complex and abstract.

  • What encouragement does the speaker offer to those who might find differential equations challenging?

    -The speaker encourages viewers to stick with the videos, follow along, and not be deterred by the initial difficulty, assuring that with time and effort, they can understand the material.

  • How will the filming style of the differential equations course differ from the speaker's previous videos?

    -The differential equations course will be filmed without any students present, with the speaker talking directly to the camera, which means there will be fewer distractions but also fewer questions from a live audience.

  • How can viewers support the speaker and stay updated on their content?

    -Viewers can support the speaker on Patreon and stay updated by visiting them on Facebook.

Outlines
00:00
πŸŽ“ Introduction to Differential Equations Video Series

The speaker is excited to announce the upcoming video series on differential equations, which they have been eager to film for a long time. They clarify that this series will be produced during their personal time, after finishing other commitments, and will not involve filming in front of students. The series is set to start in mid-September with a promise of at least one video per day on Mondays, Wednesdays, and Fridays. The speaker emphasizes that the course will be in-depth, with numerous examples, though some proofs may be omitted if they are beyond the scope of the audience's understanding. They also offer words of encouragement to viewers who might find the subject intimidating, assuring them that with persistence and dedication, they will be able to grasp the concepts. The speaker concludes by expressing hope that viewers will stick with the series and engage with the content, and thanks them for their support on Patreon and Facebook.

Mindmap
Keywords
πŸ’‘Differential Equations
Differential equations are mathematical equations that involve an unknown function and its derivatives. In the context of the video, the speaker is excited to start filming a series on this advanced topic, which is a departure from lower-level math content. The speaker aims to provide an in-depth course with many examples to help viewers understand the concepts, even though some proofs might be skipped due to their complexity or irrelevance to the class's level.
πŸ’‘August 2018 Update
The 'August 2018 Update' refers to a previous video or announcement made by the speaker in August 2018, where they informed their audience about their plans to film a series on differential equations. This update serves as a precursor to the current video, setting expectations for the upcoming content and the speaker's commitment to creating educational material on their own time.
πŸ’‘Filming Schedule
The filming schedule refers to the specific plan the speaker has for creating and releasing the differential equations video series. The speaker has decided to post at least one video a day on Mondays, Wednesdays, and Fridays, starting in mid-September. This schedule is designed to provide consistent and frequent content to the audience, despite the speaker's other commitments.
πŸ’‘In-Depth Course
An in-depth course is a comprehensive and detailed educational program that covers a subject matter thoroughly. In the video, the speaker promises to provide an in-depth course on differential equations, which will include a significant number of examples to ensure that viewers gain a clear understanding of the concepts. The course's depth is emphasized by the speaker's decision to film the series on their own time, without the constraints of a traditional classroom setting.
πŸ’‘Examples
Examples in the context of the video refer to the practical applications or specific instances of differential equations that the speaker plans to use in the course. The speaker emphasizes the importance of using numerous examples to illustrate the concepts and make them more accessible to learners. This approach is intended to help viewers grasp the material better by seeing it applied in various scenarios.
πŸ’‘Proofs
Proofs in mathematics are logical demonstrations that show why a statement is true. In the video, the speaker mentions that they might not cover all the proofs associated with differential equations, particularly those that are beyond the level of the class or not helpful for understanding the core concepts. The decision to skip some proofs is a pedagogical choice aimed at maintaining focus on what is most beneficial for the learners.
πŸ’‘Encouragement
Encouragement in this context refers to the motivational support the speaker offers to viewers who might find the subject of differential equations intimidating. The speaker aims to inspire confidence by assuring viewers that with persistence and dedication, they can overcome the challenges of learning this advanced topic.
πŸ’‘Word Problems
Word problems are mathematical exercises that require the application of mathematical concepts to real-world scenarios, often involving the interpretation of information given in a narrative form. In the video, the speaker acknowledges that differential equations involve a lot of word problems, which can be intimidating at first but are also a testament to the practical application of calculus.
πŸ’‘Patience
Patience in the context of the video refers to the virtue of enduring through challenges and difficulties without becoming frustrated or discouraged. The speaker advises viewers to be patient with themselves as they embark on the learning journey of differential equations, recognizing that the initial complexity of the subject is a common feeling but should not deter them from persevering.
πŸ’‘Patreon
Patreon is a platform that allows creators to receive financial support from their fans or followers, often in exchange for exclusive content or perks. In the video, the speaker mentions Patreon as one of the ways viewers can support their educational efforts, indicating that the speaker relies on this platform to continue producing high-quality educational content.
πŸ’‘Facebook
Facebook is a social media platform where users can create profiles, share content, and interact with others. In the video, the speaker invites viewers to visit them on Facebook, suggesting that this is another way for the audience to connect with the speaker, stay updated on their content, and potentially engage in a community centered around the educational material.
Highlights

The speaker is excited to start filming a series on differential equations.

The speaker has been waiting a long time to create content on this topic.

The filming will be done after hours and without a live audience.

The speaker is intentionally dropping some classes to focus on this project.

Posting of videos will begin in mid-September.

The release schedule will be at least one video per day on Mondays, Wednesdays, and Fridays.

The course will be in-depth, with a heavy focus on examples.

Some proofs may be omitted if they are above the level of the class.

The speaker aims to make the material understandable and engaging.

Differential equations can be intimidating due to their extensive use in real-world problems.

Having a background in basic calculus will be beneficial for understanding the course.

The speaker encourages persistence and assures that the subject is manageable.

The course will be filmed directly to the camera, without distractions.

There will be fewer questions due to the lack of a live audience.

The speaker is confident that the course will be engaging and effective.

The speaker thanks the audience for their support and mentions Patreon and Facebook as platforms for further interaction.

Transcripts
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