“The biggest mistake a student makes when solving a physics problem, is reading the question.”—Jonathan David
The “Ultimate Crash Course for Algebra and Calculus-Based Physics” is designed to serve as a guide, not a shortcut, for students tackling physics courses. Whether a student is enrolled in algebra-based or calculus-based physics, the core concepts remain the same, with only minor extensions for calculus students. This book is not a solution manual or a replacement for external resources—it is structured to function as a private tutor in book form. The goal is to help students develop the skills they need to become independent learners, so they no longer rely on tutors, solution manuals, or last-minute internet searches.
A common mistake students make is relying on external sources for answers rather than understanding the process of problem-solving. Many students hope that a similar question from their homework will appear on an exam, allowing them to replicate a memorized solution. This strategy is unreliable and ineffective. Instead, this book aims to teach students how to approach problems systematically, structure their work clearly, and think critically. By following the structured methods outlined in the book, students will develop the ability to break down complex problems and solve them efficiently.
One of the biggest challenges in college is the reluctance to read textbooks. Many students view them as burdensome, when in reality, they are the key to academic success. The book emphasizes the importance of using the textbook effectively, helping students extract relevant information, organize concepts, and develop problem-solving techniques. Learning from the textbook not only makes physics easier but also cultivates the discipline and critical thinking skills necessary for success in any STEM field.
Beyond academics, the book also addresses the mental barriers that students face, including procrastination, self-doubt, and lack of motivation. Many students struggle with internal resistance to learning, which often manifests as avoidance, frustration, or even self-loathing. Understanding that this resistance is a natural part of the learning process can help students overcome it. By shifting their mindset and focusing on progress rather than perfection, they can develop the persistence needed to excel in physics and beyond.
For students already struggling halfway through a physics course, this book is not a miracle fix. Physics, unlike some math courses, is difficult to recover from once a student falls behind. If a student is failing midway through the semester, retaking the course may be necessary. However, for those preparing to take physics for the first time or looking to improve their approach, this book provides the guidance needed to navigate the course with confidence.
The ultimate goal of this book is to prepare students to think like problem solvers. Rather than searching for quick answers, students will learn to approach each problem with a structured methodology that maximizes points on exams and improves overall comprehension. By using this book alongside their textbook, students can develop an efficient, algorithmic approach to problem-solving that will serve them throughout their academic and professional careers.