SMA 103: ANALYTICAL GEOMETRY
| Institution | KENYATTA UNIVERSITY |
| Course | BACHELOR OF MATHEMAT... |
| Year | 1st Year |
| Semester | Unknown |
| Posted By | stephen oyake rabilo |
| File Type | |
| Pages | 71 Pages |
| File Size | 1.45 MB |
| Views | 5474 |
| Downloads | 2 |
| Price: |
Buy Now
|
Description
In this chapter, the Cartesian coordinate system is introduced. The distance between points, midpoints, perpendicular/parallel lines and angles between two lines are covered. The general and
point slope form of the equation of the straight line are also covered.
1.2 Lesson Learning Outcomes
By the end of this lesson, you should be able to;
1.2.1 Carry out operations on the Straight Line.
1.2.1 The Straight Line
In this work the geometrical problems considered are those that are presented on two
dimensional plane only and it is therefore important at this point to discuss the plane.
Consider any plane with a point denoted by O, which we call the point of reference or the origin.
Let line X be horizontal and pass through O and line Y be vertical and pass through O. The
horizontal line X is referred to as the x-axis and the vertical line Y is the y-axis. Distance
measured from the y-axis is referred to as an abscissa and it is positive if measured to the right
and negative if measured to the left. A vertical distance from the x-axis is called a y-ordinate and
it is positive if measured above the x-axis and negative if measured below the x-axis. Any point
on the plane can described by its abscissa and its ordinate as P(x, y), for any point P. The symbol
(x, y) represents the coordinates of the point, where x is the abscissa and y the ordinate and it is
also referred to as the Cartesian coordinates of P.
Below is the document preview.
SMA 2104: Mathematics for Sciences - Lesson 5 Permutations and Combination
Trending!
Permutations and Combination
Permutations - This is defined as the number of different ways of arranging different objects in order.
No pages found
4243 Views
0 Downloads
273.38 KB
SMA 2104: Mathematics for Sciences - Lesson 6 Binomial expansion
Trending!
Upon completing this topic you should be able to understand the binomial theorem and it’s application in the expansion of expressions and in approximations.
No pages found
4118 Views
0 Downloads
282.79 KB
SMA 2104: Mathematics for Sciences - Lesson 7 Probability
Trending!
Upon completing this topic,you should be able to;- Apply the principles of probability to solve problems in real-world contexts. Understand and use the language of probability and to compute the probabilities of composite events using the basic rules of probability.
No pages found
4670 Views
0 Downloads
395.57 KB
SBC100: STRUCTURE OF BIOMOLECULES
Trending!
They are well descritive
30 Pages
5912 Views
0 Downloads
2.65 MB
SMA 2104: Mathematics for Sciences - Lesson 8 Statistics
Trending!
Upon completing this topic,you should be able to Collect, organize, and represent data, and be able to recognize and describe relationships. Apply the principles of statistics to solve problems in real world contexts. Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Identify types of data. Understand and use the basic measure of central tendency
No pages found
3949 Views
0 Downloads
282.84 KB
SMA 2104: Mathematics for Sciences - Lesson 9 TRIGONOMETRY
Trending!
Upon completing this topic, you should be able to Define, manipulate and apply trigonometric functions. Define the basic trigonometric ratios, sine, cosine and tangent of an angle and derive the other trigonometric ratios; cosecant, secant and cotangent using the basic trigonometric ratios. Derive identities involving the trigonometric ratios
11 Pages
5366 Views
0 Downloads
635.34 KB
SMA 2104: Quadratic Equations Practice Problems
Trending!
Quadratic Equations Practice Problems, Solving Quadratic Equations When the Product of Two Numbers is Zero
12 Pages
4865 Views
0 Downloads
602.99 KB
SMA 2104: Factorisation Practice Questions
Get a copy Factorisation Practice Questions, this is suitable for your revision
2 Pages
427 Views
0 Downloads
38.59 KB
SMA 2104: Factorisation Practice Questions Answers
Trending!
Factorisation Practice Questions Answers
2 Pages
4936 Views
0 Downloads
38.59 KB
EEE 2202: ANALOGUE ELECTRONICS I
Trending!
Electronics is the study of conduction current in solids, gases, vacuum and liquids.
It is a branch of engineering that comes from the 2 words Electrons - negatively charged particle in an atom, Mechanics - Study of motion of an electron. Electronics is also study of electrons and how they can be used to perform different functions.
The ability to control movement of electrons or electron flow is the basic of electronics it specializes in digital computers, audio systems, communication systems, and automatic control.
99 Pages
4476 Views
0 Downloads
1.43 MB