Calculus - Recommended Textbooks

The Organic Chemistry Tutor
19 Aug 202105:04
EducationalLearning
32 Likes 10 Comments

TLDRThe video offers recommendations for two calculus textbooks, 'Early Transcendentals' by James Stewart and a book by Larson and Edwards, emphasizing their usefulness despite being older editions. It highlights the importance of understanding three key calculus concepts: limits, derivatives, and integration. The speaker also introduces an ebook on successful study habits for math and science classes, applicable beyond calculus, and invites viewers to subscribe and access additional resources through provided links.

Takeaways
  • 📚 Two recommended calculus textbooks: James Stewart's 'Early Transcendentals' (5th edition) and Larson & Edwards' (9th edition).
  • 🌟 The core concepts of calculus to focus on are limits, derivatives, and integration.
  • 🎓 The video description provides links to three videos that teach the three core calculus concepts.
  • 🚀 Investing one day to learn these core concepts can set students up for success in their calculus courses.
  • 📖 An ebook titled 'How to Pass Difficult Math and Science Classes' is available for developing good study habits in school.
  • 💡 The principles in the ebook can be applied to various math and science courses, not just calculus.
  • 📚 The ebook can be read on Amazon's Kindle Cloud Reader as the paperback is currently unavailable.
  • 📧 Signing up for the email list at video dash tutor.net will notify you of new ebooks, videos, podcasts, and digital courses.
  • 🔗 The video creator's playlist of math and science videos is accessible through the email list sign-up or on their YouTube channel.
  • 🎥 The playlist is a valuable resource for organized learning, especially for those taking calculus.
Q & A

  • What is the target audience for the video?

    -The target audience for the video are students who are taking calculus, either in high school or college.

  • What is the first recommended textbook for studying calculus?

    -The first recommended textbook is 'Calculus: Early Transcendentals' by James Stewart, specifically the fifth edition.

  • Are there newer editions of the 'Calculus: Early Transcendentals' textbook available?

    -Yes, newer editions of the 'Calculus: Early Transcendentals' textbook are available, but the information remains largely the same.

  • Which is the second recommended calculus textbook and who are its authors?

    -The second recommended textbook is by Larson and Edwards, but the specific title is not mentioned in the script.

  • What edition of the Larson and Edwards textbook does the speaker mention using?

    -The speaker mentions using the ninth edition of the Larson and Edwards textbook.

  • What are the three key areas in a calculus course that the speaker suggests students get a head start in?

    -The three key areas in a calculus course to get a head start in are limits, derivatives, and integration.

  • How can students access additional resources to learn about the core concepts of calculus?

    -Students can access additional resources by watching three videos listed in the description section below the video, which teach the three core concepts of calculus.

  • What is the title of the ebook created by the speaker and what does it aim to help students with?

    -The title of the ebook is 'How to Pass Difficult Math and Science Classes', and it aims to help students develop good study habits for math and science classes in school.

  • Apart from calculus, which other courses can the principles in the ebook be applied to?

    -The principles in the ebook can be applied to courses like algebra, geometry, trigonometry, physics, general chemistry, and organic chemistry.

  • How can students be notified about new ebooks, videos, podcasts, or digital courses created by the speaker?

    -Students can sign up for the speaker's email list at video-dash-tutor.net, as mentioned in the description section of the video.

  • Where can students find an organized list of videos to help with their calculus course?

    -Students can find an organized list of videos on the speaker's YouTube channel or by signing up for the email list at video-dash-tutor.net, which will direct them to a page with links to all the math and science playlists.

Outlines
00:00
📚 Calculus Textbook Recommendations

The video script introduces viewers to two valuable calculus textbooks suitable for both high school and college students. The first recommended book is 'Early Transcendentals' by James Stewart, specifically the fifth edition, which the speaker has personally used. Despite the existence of newer editions, the information remains largely unchanged. The second book is by Larson and Edwards, and the speaker references the ninth edition they have used. Both textbooks are praised for their numerous examples, practice problems, and illustrations that aid in understanding calculus concepts. The speaker then highlights three fundamental areas of calculus - limits, derivatives, and integration - and encourages viewers to familiarize themselves with these topics through three videos provided in the video description. This proactive approach is suggested to set up viewers for success in their upcoming calculus courses.

05:00
📖 Study Strategies and Additional Resources

In addition to textbook recommendations, the speaker mentions an ebook they authored to assist students in excelling in math and science classes. Titled 'How to Pass Difficult Math and Science Classes,' the ebook is designed to cultivate effective study habits and can be applied to a wide range of subjects, including algebra, geometry, trigonometry, physics, and various chemistry courses. The ebook is available on Amazon's Kindle Cloud Reader, and while the paperback is currently unavailable, it serves as a comprehensive guide for academic success. The speaker also invites viewers to sign up for their email list through their website for updates on new content and to access a playlist of math and science videos for further learning support.

Mindmap
Keywords
💡Calculus
Calculus is a branch of mathematics that deals with the study of change and motion, primarily through the use of limits, derivatives, and integrals. In the video, the speaker is addressing students who are either in high school or college and are taking or about to take a calculus course. The main concepts of calculus, such as limits, derivatives, and integration, are emphasized as the key areas that students should focus on to succeed in the course.
💡Textbooks
Textbooks are comprehensive educational resources that provide in-depth information on a particular subject. In the context of the video, the speaker recommends two specific calculus textbooks by James Stewart ('Early Transcendentals') and Larson & Edwards (no specific title mentioned), highlighting their usefulness in studying for calculus courses. These textbooks are noted for containing numerous examples and practice problems that aid in understanding the subject matter.
💡Limits
In calculus, limits are a fundamental concept that describes the behavior of a function as the input (or argument) approaches a certain value. Limits are used to define continuity, derivatives, and integrals, and are essential for understanding the core principles of calculus. The video emphasizes that students should familiarize themselves with limits as they are one of the key areas to focus on in a calculus course.
💡Derivatives
Derivatives in calculus represent the rate of change of a function with respect to its input variable. They are used to analyze the behavior of functions, such as finding maximum or minimum values, and understanding the steepness or slope of a curve at any given point. The video mentions derivatives as one of the main concepts that students will learn in a calculus course and should focus on mastering.
💡Integration
Integration in calculus is the process of finding the area under a curve or the accumulation of quantities. It is the inverse process of differentiation and is used to solve a wide range of problems, from calculating the area of shapes to understanding physical quantities in physics. The video points out that integration is a key area that students should get a head start on, as it is a central concept in calculus.
💡Study Habits
Study habits refer to the routines and strategies that students use to learn and retain information effectively. In the video, the speaker mentions an ebook they created that explains how to develop good study habits for math and science classes, including calculus. These habits can help students manage their time, take effective notes, practice regularly, and approach problem-solving strategically.
💡Ebook
An ebook is a digital version of a book that can be read on electronic devices such as e-readers, tablets, or computers. In the video, the speaker recommends their own ebook, which provides strategies for succeeding in math and science classes. This ebook is not limited to calculus but can be applied to a variety of subjects within the math and science fields.
💡AP Calculus
AP Calculus is a rigorous high school course and exam offered by the College Board that aims to prepare students for college-level calculus. It is an Advanced Placement course that can potentially earn students college credit. In the video, the speaker addresses high school students taking AP Calculus and college students about to start their first semester of calculus, indicating that the recommended resources and study strategies are applicable to both groups.
💡Practice Problems
Practice problems are exercises that students work on to apply and reinforce the concepts they have learned. In the context of the video, the recommended textbooks contain many practice problems that are essential for students to work through in order to understand and master calculus concepts. These problems provide hands-on experience and help students develop problem-solving skills.
💡Video Playlist
A video playlist is a curated selection of videos organized in a sequence for easy and continuous viewing. In the video, the speaker mentions that they have a playlist of calculus-related videos on their YouTube channel, which can serve as an organized resource for students to access whenever they need to review or learn specific concepts in calculus.
💡Email List
An email list is a collection of email addresses used to send out updates, newsletters, or notifications to subscribers. In the video, the speaker encourages viewers to sign up for their email list to be notified about new ebooks, videos, podcasts, or digital courses that they create in the future. This allows the audience to stay connected and informed about the speaker's educational content.
Highlights

The video is targeted at individuals studying calculus, whether in high school or college.

Two textbooks are recommended for studying calculus: James Stewart's 'Early Transcendentals' and Larson & Edwards' textbook.

The speaker references using the fifth edition of Stewart's textbook and the ninth edition of Larson & Edwards'.

Despite newer editions being available, the core information in these textbooks remains largely the same.

Three key areas to focus on in calculus are limits, derivatives, and integration.

The video description contains links to three videos that teach the core concepts of calculus, which can be learned in a day.

An ebook titled 'How to Pass Difficult Math and Science Classes' is mentioned, which the speaker created to help develop good study habits.

The ebook is applicable not only to calculus but also to a wide range of math and science courses such as algebra, geometry, physics, and chemistry.

The ebook can be read on Amazon's Kindle Cloud Reader as the paperback is not currently available.

The speaker encourages viewers to sign up for their email list for notifications on new content.

A playlist of math and science videos is available on the speaker's YouTube channel and website for organized learning.

The video aims to help students set themselves up for success in their calculus semester.

The speaker provides resources for students to enhance their learning experience and academic performance.

The video serves as a comprehensive guide for students to navigate through calculus and other challenging subjects.

Transcripts

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