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## Lecture Details :

Functions, the vertical line test and correspondence with sets.

## Course Description :

Contents:

Find the domain of a rational expression - Multipling Polynomials - intro to polynomials - add and subtract polynomials - Simplifying algebraic expressions - Like terms - Combine Like terms - Properties of negative exponents - exponents with integers - exponents - exponent properties - Solving a system of equations by addition ellimination 3.mov - Solve a system by substitution - Solve a system by graphing -parallel and perpendicular lines - check if a point is a solution to a system - 3 types of systems - Vertical and horizontal line and their graphs - Graph and find X and Y intercepts - graph a line using a point and a slope - find the slope of a line between two points

Graphing equations in y=mx+b - Find the equation of a line with a point and a slope-derivation of the equation of a line -Meaning of slope-function evaluation and word problems - function domain and range - find the domain of a rational expression - Evaluate a function from a graph - derivation of the slope formula - Vertical Line test - Evaluate functions function notation and conection with linear graphs.mov - functions and relation - Compound Inequalities - systems of inequalities - factoring leading coefficient - System of three variables - AC factoring method - The Quadratic Formula.mov - Solving Linear Equations - Using the General Factoring Strategy - Solving Linear Equations - Factoring The Hard Ones -Factor special forms

## Other Resources :

## Other Mathematics Courses

- Measure and Integration by IIT Bombay
- Pre Algebra by Other
- Mathematical Methods for Engineers II by MIT
- Engineering Mathematics by The University of New South Wales
- Linear Algebra by The University of New South Wales
- Computational Science and Engineering I by MIT
- Differential equations III by Other
- Topology by IIT Madras
- Linear programming and Extensions by IIT Kanpur
- A Basic Course in Real Analysis by IIT Kharagpur

### » check out the complete list of Mathematics courses