Analytical geometry

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KENYATTA UNIVERSITY

DIGITAL SCHOOL OF VIRTUAL AND OPEN LEARNING

IN COLLABORATION WITH

SCHOOL OF PURE AND APPLIED SCIENCES

DEPARTMENT OF MATHEMATICS AND ACTUARIAL SCIENCE,

SMA 103: ANALYTICAL GEOMETRY

WRITTEN BY: Dr. Ambrose Wahome

VETTED BY: Mr. Augustine Ruto

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INTRODUCTION

Welcome to this module. The module deals with different geometries and their applications. This

is an interactive instructional module that uses both action and collaborative learning styles that

provide you with diverse online learning experiences and effective learning processes. The key

purpose of this module is to expose you albeit theoretically to the operations carried out on various

geometries. This should hopefully equip you with the necessary knowledge and skills crucial in

real life applications of geometry.

Analytical geometry is the study of geometry by application of algebraic methods through the

coordinate system. This involves changing a geometric problem into an algebraic problem so that

it obeys certain rules of algebra. This module offers elementary techniques for solving geometrical

problems analytically for undergraduates in mathematics and engineering.

In this module, we shall analyse different geometries and their applications.

We hope that you will find this module exciting, educative, and engaging.

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KENYATTA UNIVERSITY DIGITAL SCHOOL OF VIRTUAL AND OPEN LEARNING IN COLLABORATION WITH SCHOOL OF PURE AND APPLIED SCIENCES DEPARTMENT OF MATHEMATICS AND ACTUARIAL SCIENCE, SMA 103: ANALYTICAL GEOMETRY WRITTEN BY: VETTED BY: Dr. Ambrose Wahome Mr. Augustine Ruto 1 INTRODUCTION Welcome to this module. The module deals with different geometries and their applications. This is an interactive instructional module that uses both action and collaborative learning styles that provide you with diverse online learning experiences and effective learning processes. The key purpose of this module is to expose you albeit theoretically to the operations carried out on various geometries. This should hopefully equip you with the necessary knowledge and skills crucial in real life applications of geometry. Analytical geometry is the study of geometry by application of algebraic methods through the coordinate system. This involves changing a geometric problem into an algebraic problem so that it obeys certain rules of algebra. This module offers elementary techniques for solving geometrical problems analytically for undergraduates in mathematics and engineering. In this module, we shall analyse different geometries and their applications. We hope that you will find this module exciting, educative, and engaging. 2 COURSE CONTENT WEEK TOPIC WEEK 1 STRAIGHT LINE WEEK 2 CIRCLE WEEK 3 POLAR COORDINATES WEEK 4 PARABOLA WEEK 5 WEEK 6 PARABOLA ELLIPSE WEEK 7 ELLIPSE WEEK 8 HYPERBOLA ...
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