
Adding Real Numbers We can add numbers using a number line
... Adding Real Numbers We can add numbers using a number line. Example: -3+6 Start by putting a point on -3, and since 6 is positive we will move 6 places to the right to get the answer. So -3+6=3 ...
... Adding Real Numbers We can add numbers using a number line. Example: -3+6 Start by putting a point on -3, and since 6 is positive we will move 6 places to the right to get the answer. So -3+6=3 ...
vector spaces
... Dimension: number of elements in a basis of that vector space Summative results: let V be a vector space with dimV=n, then: - Any linear independent set in V contains at most n vectors - Any spanning set for V contains at least n vectors - Any linearly independent set of exactly n vectors in V is a ...
... Dimension: number of elements in a basis of that vector space Summative results: let V be a vector space with dimV=n, then: - Any linear independent set in V contains at most n vectors - Any spanning set for V contains at least n vectors - Any linearly independent set of exactly n vectors in V is a ...
Babylonian Mathematics: Classroom Activities 1
... interesting and challenging problem. 4. Problems like this provide a context for exploration, creativity and testing conjectures. 5, This algorithm can be found in Mediaeval, Arab, Renaissance and 17th century algebra and is the basis of the ‘quadratic formula’ used today. © Leo Rogers. Leo.Rogers@e ...
... interesting and challenging problem. 4. Problems like this provide a context for exploration, creativity and testing conjectures. 5, This algorithm can be found in Mediaeval, Arab, Renaissance and 17th century algebra and is the basis of the ‘quadratic formula’ used today. © Leo Rogers. Leo.Rogers@e ...
Notes on quaternions
... changes during such a motion, a rotation is invariably involved. A typical problem is that the object is only defined at several key positions, and the intermediate ones have to be computed. In other words, we have to be able to interpolate between rotations. This is not trivial: if R1 and R2 are tw ...
... changes during such a motion, a rotation is invariably involved. A typical problem is that the object is only defined at several key positions, and the intermediate ones have to be computed. In other words, we have to be able to interpolate between rotations. This is not trivial: if R1 and R2 are tw ...
Title
... Multiples of i are imaginary numbers Real numbers can be added to imaginary numbers to form complex numbers like 3+2i or -1/2 -√2i We can add, subtract and multiply complex numbers (dividing is a little more ...
... Multiples of i are imaginary numbers Real numbers can be added to imaginary numbers to form complex numbers like 3+2i or -1/2 -√2i We can add, subtract and multiply complex numbers (dividing is a little more ...
Revision
... Commentary #2 As mathematics educators, we face the challenge of needing to be precise in our language. The words that we choose are critical, both for mathematical accuracy and to avoid misconceptions among both teachers and students. We cannot be sloppy in our choice of language. Mathematical term ...
... Commentary #2 As mathematics educators, we face the challenge of needing to be precise in our language. The words that we choose are critical, both for mathematical accuracy and to avoid misconceptions among both teachers and students. We cannot be sloppy in our choice of language. Mathematical term ...
to view our course objectives
... distributive properties to add, subtract, and multiply complex numbers. N.CN.7 Solve quadratic equations with real coefficients that have complex solutions. N.CN.8 (+)Extend polynomial identities to the complex numbers. For ...
... distributive properties to add, subtract, and multiply complex numbers. N.CN.7 Solve quadratic equations with real coefficients that have complex solutions. N.CN.8 (+)Extend polynomial identities to the complex numbers. For ...
MATH 121 Course Outline - MJC - Curriculum Committee
... I. COURSE OVERVIEW The following information is what will appear in the MJC 2008-2009 Catalog. MATH 121 - Pre-Calculus 1 ...
... I. COURSE OVERVIEW The following information is what will appear in the MJC 2008-2009 Catalog. MATH 121 - Pre-Calculus 1 ...
Mathematics of radio engineering

The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.