Description
Major Related too : Math, Calculus, Science, Business, Engineering, Physics, Energy, Astronomy, Planetary Science
Description : Calculus is a branch of mathematics that deals with the study of continuous change. The four main concepts of calculus are: Limits, Differential calculus, Integral calculus, Multivariable calculus. > Differential calculus: The calculation of instantaneous rates of change. It involves the study of the definition, properties, and applications of the derivative of a function. > Integral calculus: The summation of infinitely many small factors to determine some whole. Practical Applications of Calculus (Real World Applications): Physics Calculating the velocity, acceleration, and position of objects in motion. This is important for designing vehicles like cars, airplanes, and rockets. Medicine Modeling biological systems' behavior and developing new treatments. This includes studying cancer cell patterns, designing drug dosages, and studying the spread of infectious diseases. Economics Calculating marginal cost and marginal revenue to determine maximum profit. This can also be used to study supply and demand curves. Space exploration, Telecommunications systems, Computer science, Engineering, Pharmacology, Business, Meteorology, Music.
Syllabus
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Calculus and Mathematics
- The essence of calculus
- Introduction to limits | Limits | Differential Calculus | Khan Academy
- The paradox of the derivative | Chapter 2, Essence of calculus
- Derivative formulas through geometry | Chapter 3, Essence of calculus
- Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
- What's so special about Euler's number e? | Chapter 5, Essence of calculus
- Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
- Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
- Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
- What does area have to do with slope? | Chapter 9, Essence of calculus
- Higher order derivatives | Chapter 10, Essence of calculus
- Taylor series | Chapter 11, Essence of calculus
- Understand Calculus in 35 Minutes