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You maybe wondering why learning calculus! Does it really worth the time and the hurdle of learning it? Or maybe you just hate the mention of calculus or anything related to it. Sure, I understand you very well, but come to think of it, do you think math doesn’t worth the time? The ease at which it solve real life problem.
Hey chill! calculus is not as hard as you think- I love calculus because it demonstrates the beauty of math and spice-up math education. Calculus relates topics in an elegant, brain-bending manner.
Take a look at Darwin’s Theory of Evolution treated in calculus: once understood, you start seeing Nature in terms of survival. You understand why drugs lead to resistant germs (survival of the fittest). You know why sugar and fat taste sweet (encourage consumption of high-calorie foods in times of scarcity). It all fits together.
For learning computer science in the university, for example, calculus allows you to run machine learning algorithms in artificial intelligence, render 3D computer graphics and create physics engines for video games. Calculus may seem a little daunting or dry from the outset, but that’s mostly because people don’t realize the volume of cool ideas that are based on it.
People often don’t really border to learn calculus or any related math problem because they feel is not necessary. A common misconception is that the best way to learn is simply to just go out in the real world and do things, and only learn theory when you absolutely need it.
But this is wrong of the real purpose of learning calculus or any other math problem. It’s not just to fulfill curiosity, or to execute some more practical task. Learning theory like calculus broadens the types of problems you can imagine possible solutions to.
I have seen programmer says, “You don’t need a computer science degree to learn how to program”. Though computer science isn’t just about programming in the same way biology isn’t just using a microscope.
Learning the theory behind algorithms, machine learning, graphics, compilers and circuitry gives you the ability to think about and take on more interesting problems. The knowledge of theory is that it gives you in in-depth understanding of problems you can solve, while practical knowledge improves your efficiency with one set of problems.
For instance, studying business doesn’t mean you can run a successful business, but sure it did give you a language to think about all sorts of businesses that you haven’t started yet. With an in-depth understanding of the subject matter you are sure to accomplish many practical real life solution.
I have review the best of videos on calculus from various top university in the world, From MIT, Harvard, Yale, Stanford university among others. From my review, I have selected the very best of MIT university lecture on calculus to aid your learning.
Calculus is the branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables. It shows the relationship between one variable (endogenous) and the others (exogenous ). It’s correct, but not helpful for beginners.
You will soon discover that the theory can accelerated and learned outside of school. And can be applied to achieve so many a thing in the real world still sitting in the comfort of your home. Before the video let settle this in our mind – calculus is hard and not hard! It all depend on your perception.
Few years ago, reading and writing were the work of trained scribes. Yet today that can be handled by a 10-year old. Why? Because we expect it.
Expectations play a huge part in what’s possible. So expect that calculus is just another subject. It’s about how far you want to go in solving humanity problem. There problems everywhere looking for someone to solve it. Once you meet people needs or problem you have their money.
Below is the first series of video to aid your learning of calculus from MIT university USA.
Course Description :
Derivatives, slope, velocity, rate of change – Limits, continuity Trigonometric limits – Derivatives of products, quotients, sine, cosine – Chain rule Higher derivatives – Implicit differentiation, inverses – Exponential and log Logarithmic differentiation; hyperbolic functions – Hyperbolic functions (cont.) and exam 1 review – Linear and quadratic approximations – Approximations (cont.); curve sketching – Max-min problems – Related rates – Newtons method and other applications – Mean value theorem; Inequalities
Differentials, antiderivatives-Differential equations, separation of variables – Definite integrals – First fundamental theorem of calculus – Second fundamental theorem – Applications to logarithms and geometry – Volumes by disks and shells – Work, average value, probability – Numerical integration – Exam 3 review – Trigonometric integrals and substitution – Integration by inverse substitution – Partial fractions-Integration by parts, reduction formulae – Parametric equations, arclength, surface area – Polar coordinates; area in polar coordinates – Indeterminate forms – L Hospitals rule-Improper integrals – Infinite series and convergence tests – Taylors series.
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