What if, in the future, I want to pursue a career as a video game designer, especially programming? In that case, sooner or later, I will build a physics engine and, to do that, computation is essential. Higher levels of computation focus on vectors, which will help me produce objects that move correctly in a game. Nobody wants to play a game where you throw a ball forward and then the ball goes backwards. The calculation can also determine the growth rate of something, how much material a building will require, and even the trajectory and velocity measurements required by the space mission. To have enough experience to apply calculus to these real-world problems, I need to take calculus classes at my college, which I currently take as Calculus II, and understand what is taught in class. To be successful in a Calculus II course or field of work that requires advanced mathematics, experience with entry-level mathematics, the ability to seek assistance with problems so you don't fall behind, and creative thinking to solve problems become a necessity more efficiently and effectively. Experience with the types of mathematics that precede Calculus II will allow me to advance through the class much more easily. Calculus I and Algebra are the foundation for Calculus II, and without a solid foundation, there would be nothing I could stand on. These supporting pillars include trigonometric identities, the ability to derive and integrate functions, and to simplify complex functions into easier-to-understand functions. An example of a problem that presents itself with a weak foundation would be a student who enters an Advanced Robotics course without having any prior experience with robotics and fails the course because... middle of paper... ways to use existing formulas to do things like develop a physics engine for a game or create an algorithm that finds where a sequence of integers exists in pi. Ten years from now, if a career involving analysis is what I choose to pursue, I will remember this period of my life as the time when I realized how versatile calculus truly is and how I could make the most of it. If I were to employ these techniques in my use of calculus, whether in the classroom or in a career that requires it, my efforts in those fields will become easier and more successful, than if I allowed myself to slow down and not push myself to use them. I will also have a better chance of enjoying my chosen career and not even thinking of it as work. I may even come to love calculus because of the enormous amount of things I will discover about it through these three techniques.
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