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Lecture Calculus - Chapter 27: Between curves
Lecture Calculus - Chapter 27: Between curves. After studying this section will help you understand: integration s a very powerful tool, it gives us power to answer questions that the Greeks struggled with unsuccessfully for a very long time,...
10/17/2021 11:22:58 AM +00:00
Lecture Calculus - Chapter 24: The power of adding and multiplying
Lecture Calculus - Chapter 24: The power of adding and multiplying. After studying this section will help you understand: the notion of Riemann Sum is then an extension of this idea to more general situations in the formula A = b × h,...
10/17/2021 11:22:40 AM +00:00
Lecture Calculus - Chapter 23: Dot a few i’s, cross a few t’s
Lecture Calculus - Chapter 23: Dot a few i’s, cross a few t’s. After studying this section will help you understand: the last lecture (on Riemann integration) is that The Riemann protocol is a new way to assign areas to figures in the plane that gives the same answer as the old method for figures amenable to the old method,...
10/17/2021 11:22:29 AM +00:00
Lecture Calculus - Chapter 21: Newton’s Method
Lecture Calculus - Chapter 21: Newton’s Method. After studying this section will help you understand: which gave him the germ of an idea for devising a method that iteratively finds solutions of equations of the form f(x) = 0,...
10/17/2021 11:22:15 AM +00:00
Lecture Calculus - Chapter 19: The A B C’s of Graphing
Lecture Calculus - Chapter 19: The A B C’s of Graphing. After studying this section will help you understand: the necessary hints, tips, rules to follow, and some smart advice, to allow you to look at a given function y = f(x),...
10/17/2021 11:21:57 AM +00:00
Lecture Calculus - Chapter 17: How do you get those lovely curves?
Lecture Calculus - Chapter 17: How do you get those lovely curves? After studying this section will help you understand: the only curves we can draw (so far, you’ll learn more later) are graphs of functions y = f(x),...
10/17/2021 11:21:43 AM +00:00
Lecture Calculus - Chapter 14: Linear approximations and differentials
Lecture Calculus - Chapter 14: Linear approximations and differentials. After studying this section will help you understand: how the two distinct groups of people listed below profit from the use of Mathematics,...
10/17/2021 11:21:29 AM +00:00
Lecture Calculus - Chapter 12: Implicit differentiation and related rates
Lecture Calculus - Chapter 12: Implicit differentiation and related rates. After studying this section will help you understand: recall the two separate and apparently distinct situations that, not surprisingly, are resolved with the same mathematical model,...
10/17/2021 11:21:16 AM +00:00
Lecture Calculus - Chapter 11: Implicit differentiation and related rates
Lecture Calculus - Chapter 11: Implicit differentiation and related rates. After studying this section will help you understand: once again we are going to look at two separate and apparently distinct situations that, not surprisingly, are resolved with the same mathematical model,...
10/17/2021 11:21:04 AM +00:00
Lecture Calculus - Chapter 10: Computing derivatives
Lecture Calculus - Chapter 10: Computing derivatives. After studying this section will help you understand: we can now apply the mortar to the bricks and start building a collection of known derivatives; let me review a method of proof that is a little subtle and apparently tautological, called the method of induction, better illustrated as the Domino Theory,...
10/17/2021 11:20:44 AM +00:00
Lecture Calculus - Chapter 9: Computing derivatives
Lecture Calculus - Chapter 9: Computing derivatives. After studying this section will help you understand: we list and prove the rules first, they are rather easy to prove; let us state all five of them as one theorem, and prove it,...
10/17/2021 11:20:29 AM +00:00
Lecture Calculus - Chapter 7: Derivatives
Lecture Calculus - Chapter 7: Derivatives. After studying this section will help you understand: the second day of classes we looked at two situations whose resolution brought us to the same mathematical set-up tangents and velocities,...
10/17/2021 11:20:17 AM +00:00
Lecture Calculus - Chapter 4: Computing limits
Lecture Calculus - Chapter 4: Computing limits. After studying this section will help you understand: when you build something you need two things ingredients to use tools to handle the ingredients,...
10/17/2021 11:20:03 AM +00:00
Lecture Calculus - Chapter 32: Computing Anti-derivatives
Lecture Calculus - Chapter 32: Computing Anti-derivatives. After studying this section will help you understand: tn the last presentation we have seen a few indefinite integrals, but they did not include the anti-derivative of many functions,...
10/17/2021 11:06:13 AM +00:00
Lecture Calculus - Chapter 30: The works or riemann sums revisited
Lecture Calculus - Chapter 30: The works or riemann sums revisited. After studying this section will help you understand: when the acceleration is 0 no force is applied and, conversely, if no force is applied the accel-eration is 0,...
10/17/2021 11:05:59 AM +00:00
Lecture Calculus - Chapter 28: Riemann sums revisited
Lecture Calculus - Chapter 28: Riemann sums revisited. After studying this section will help you understand: integration is a very powerful tool, it gives us power to answer questions that the Greeks struggled with unsuccessfully for a very long time,...
10/17/2021 11:05:42 AM +00:00
Lecture Calculus - Chapter 26: Computing Antiderivatives
Lecture Calculus - Chapter 26: Computing Antiderivatives. After studying this section will help you understand: the computation of antiderivatives is just an intellectual challenge, we know how to take derivatives,...
10/17/2021 11:05:31 AM +00:00
Lecture Calculus - Chapter 22: How do we measure a quantity?
Lecture Calculus - Chapter 22: How do we measure a quantity? After studying this section will help you understand: what does it mean to measure something, or more precisely, what are the ingredients needed to be able to measure something,...
10/17/2021 11:05:19 AM +00:00
Lecture Calculus - Chapter 20: Optimization
Lecture Calculus - Chapter 20: Optimization. After studying this section will help you understand: very often in life we are faced with a situation wherein we have to decide what is the best course of action within a certain set of conditions,...
10/17/2021 11:05:09 AM +00:00
Lecture Calculus - Chapter 18: What’s going on out there?
Lecture Calculus - Chapter 18: What’s going on out there? After studying this section will help you understand: Suppose you are studying the increase or decrease of a population Ρ over time, somebody gave you a formula that presumably describes the amount of members of the population at a given time t,...
10/17/2021 11:04:49 AM +00:00
Lecture Calculus - Chapter 16: Must averages happen?
Lecture Calculus - Chapter 16: Must averages happen? After studying this section will help you understand: what goes up must come down, the general case follows from Rolle’s theorem through a bit of algebraic magic,...
10/17/2021 11:04:34 AM +00:00
Lecture Calculus - Chapter 15: Maxima and minima
Lecture Calculus - Chapter 15: Maxima and minima. After studying this section will help you understand: use the strips to surround as much ground as you can how would you cut the sheet, how much ground can you surround,...
10/17/2021 11:04:21 AM +00:00
Lecture Calculus - Chapter 13: Related rates
Lecture Calculus - Chapter 13: Related rates. After studying this section will help you understand: recall the second “situation” we still have to address; Suppose you know the rate of change of one of them,...
10/17/2021 11:04:06 AM +00:00
Lecture Calculus - Chapter 8: Derivatives are functions too!
Lecture Calculus - Chapter 8: Derivatives are functions too! After studying this section will help you understand: let you see how many consequences are implied by the statement derivative of f at α exists; helps you decide where in its domain a function might not be differentiable
10/17/2021 11:03:51 AM +00:00
Lecture Calculus - Chapter 6: Continuity
Lecture Calculus - Chapter 6: Continuity. After studying this section will help you understand: for a function y = f(x) to be called “continuous”, we would expect its graph to be a smooth line, without breaks or interruptions,...
10/17/2021 11:03:36 AM +00:00
Lecture Calculus - Chapter 5: Definition of limit
Lecture Calculus - Chapter 5: Definition of limit. After studying this section will help you understand: going to learn the precise definition of what is meant by the statement, must make precise our intuitive notion,...
10/17/2021 11:03:26 AM +00:00
Lecture Calculus - Chapter 3: Limits
Lecture Calculus - Chapter 3: Limits. After studying this section will help you understand: the other meaning is as a value or position to be approached but maybe never reached. This is the one that is fundamental to all Calculus, from the one we are studying to the most esoteric reaches of Analysis, Complex Variables, etc.
10/17/2021 11:03:15 AM +00:00
Lecture Calculus - Chapter 2: Velocity and tangents
Lecture Calculus - Chapter 2: Velocity and tangents. After studying this section will help you understand: the answer to both questions involves the same mathematical concept and computation,...
10/17/2021 11:02:55 AM +00:00
Lecture Calculus - Chapter 1: Functions
Lecture Calculus - Chapter 1: Functions. After studying this section will help you understand: the functions we will study can be classified into four successively increasing collections: polynomials, rational functions, algebraic functions, trigonometric functions,...
10/17/2021 11:02:37 AM +00:00
SAT II Math (10th edition)
The documents SAT II Math has content: subjects tests, outline of topics, Math review—illustrative problems and solutions, Math practice exercises and solutions by topic, four practice Mathematics tests level IC steps to take after each practice test,...
10/17/2021 1:55:15 AM +00:00