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JG89
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I am currently working through Apostol's Calculus book. Is it recommended that I work through each and every exercise in each section, or at least in the very important sections, so that I gain a more thorough understanding?
The purpose of exercises in a textbook is to help students apply and reinforce the knowledge they have learned from the material. Exercises also provide an opportunity for students to practice and improve their skills, as well as prepare for exams and assessments.
The number of exercises you should complete in a textbook varies depending on the subject and level of difficulty. However, it is generally recommended to complete all the exercises assigned by your teacher or professor, as they are designed to help you fully understand the material.
It is usually best to complete exercises in order, as they are often designed to build upon each other and become more challenging as you progress. However, if you are struggling with a particular concept, you may want to skip ahead to exercises that focus on that topic.
Many textbooks include an answer key or solutions manual at the back of the book, which you can use to check your answers. However, it is important to first try and solve the exercises on your own before checking the answers.
To make the most out of exercises in a textbook, it is important to actively engage with the material and try to solve the problems on your own before looking at the solutions. You can also use exercises to identify any areas where you may need more practice or review, and to ask questions and seek help from your teacher or classmates.