Precalculus pertaining to the mathematical prerequisites for the study of calculus, as algebra, analytical geometry, and trigonometry. Precalculus does not involve calculus, but explores topics that will be applied in calculus. It often involves covering algebraic topics that might not have been given attention in earlier algebra courses. Some precalculus courses might differ with others in terms of content. For example, an honors level course might spend more time on conic sections, vectors, and other topics needed for calculus, used in fields such as medicine or engineering.
This course assumes the student has a good grounding in basic school algebra. Students who diligently follow the instructions and examples and work the exercises should have a good grounding for a first course in calculus.
Online precalculus video lessons to help students with the notation, theory, and problems to improve their math problem solving skills so they can find the solution to their Precalculus homework and worksheets.
Tutorial which is an introduction to functions including the four representations of a function, domain, and range. Tutorial on the translation, compression, stretching and reflection of graphs of functions.
Help in precalculus. What is a function? How to find the roots of polynomials. How to sketch the graphs of polynomials. The graph of a rational function. How to solve a quadratic equation by completing the square. What is synthetic division? What is the binomial theorem?
Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves); these two branches are related to each other by the fundamental theorem of calculus.
1) Number Systems, 2) Limits, 3) Continuity, 4) Derivatives, 5) Applications of Derivatives, 6) Exponentials and Logs, 7) Trig Functions, 8) More Tricks with Derivatives, 9) Practice Midterm, 10) Integrals, 11) Methods of Integration, 12) Applications of Integrals
There are two components to calculus. One is the measure the rate of change at any given point on a curve. This rate of change is called the derivative. The other part of calculus is used to measure the exact area under a curve. This is called the integral.
(Click on "Free TI Emulator for PC" above to get 'VTI')
Virtual TI, or "VTI," is a graphing calculator emulator for Microsoft Windows, written in C++ by Rusty Wagner. Virtual TI has made a significant impact on the way calculators are used and programmed. Today, Virtual TI is a complete solution for calculator users; it can now emulate all TI-8x and 9x calculators with a link port. It is extremely easy to use, and the name is no misnomer: there is actually a Virtual TI on your screen, complete with a clickable bitmap of the calculator.
If you haven't already, I strongly encourage you to give VTI a try. Since its first versions, it has vastly improved, and it is definitely worth your time to test it out.
Review by Eric Sun ticalc.org/ and wikipedia.org
If you are doing math and don't have a TI Programmable Calculator, you are at a disadvantage.
Clearly, we are generating a set of numbers with a very special characteristic: there is an order on the number, that is, we naturally have the first number, the second number, and so on....A sequence is by definition a set of real numbers with this natural order.
QuickMath is an automated service for answering common math problems over the internet.Think of it as an online calculator that solves equations and does all sorts of algebra and calculus problems - instantly and automatically!
Calculus.org Resources For The Calculus Student. Calculus problems with step-by-step solutions. Tutorials and explanations of calculus topics. Sites with Calculus problems. Sites with Calculus Exams. Calculus videos. Free tutoring on calculus through email.
These sites are free and some sites link to other web pages that offer downloadable software programs that make learning calculus far easier as well. Here are some links to resourceful sites that donít require any money or mandatory downloads.
This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Plus YACAS an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions.
Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.
Func Master does the following: area between/under curves, area of surface of revolution, area of a polar region, volume of a region rotated about an axis, definite integral, tangent line/derivative, arc length of a function, solve function=0, find intersection between two functions
It will find Area Between Curves, Volume of Circular Revolution Around a Vertical Line and Around a Horizontal Line, Centroid, Arc Length, Surface Area of Revolution, Definite Integral of a function from A to B, Riemann Sums (Area Approximations - Left, Right, Midpoint, Trapezoid, and Simpson's Rules)
This program has over 60 functions, including: trig functions, expression simplification, limits, derivatives of functions, implict differentiation, tangent finder, function explorer, all roots to an equation