Nabeshin said:Uhh... I guess you don't really have to know any trig besides a basic understanding of sin/cos/tan and really simple identities... But how did you get to calculus without taking a course in geometry?
Calculus is a branch of mathematics that deals with the study of change and motion, while geometry is the study of shape, size, and position of objects in space. In calculus, we use mathematical concepts such as limits, derivatives, and integrals to solve problems involving change, while in geometry, we use concepts like angles, lines, and shapes to understand the properties of objects in space.
Yes, calculus can be understood without a background in geometry. While geometry provides a foundation for understanding the concepts in calculus, it is not a prerequisite. However, having a basic understanding of geometry can make it easier to visualize and understand the concepts of calculus.
Calculus is used in many real-world applications, including physics, engineering, economics, and statistics. For example, it is used to calculate the trajectory of a projectile, determine the optimal shape of a building or bridge, and analyze economic models. Calculus is also used in fields such as medicine and biology to model and understand natural processes.
Learning calculus without geometry allows us to focus on the fundamental concepts of calculus, such as limits and derivatives, without getting distracted by geometric shapes and figures. This helps us develop a strong understanding of the principles of calculus, which can then be applied to real-world problems in various fields.
Yes, there are many resources available for learning calculus without geometry, such as online courses, textbooks, and tutorial videos. These resources often include visual aids and real-world examples to help students understand the concepts of calculus without relying on geometry. Additionally, practice problems and exercises can help reinforce the understanding of calculus concepts without involving geometry.