AVU Resources En  Mathematics
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Analysis 2
Khalagai, Jairus M. (20110610)Part 2 consists of three units: Unit 4 – Real Analysis In this unit we define and give examples of general metric spaces which show that they occur abundantly in mathematics. We then look at the structure of a general ... 
Mechanics
Chihaka, Tendayi (20101219)This module is a first degree course in Mechanics. The module starts with a treatment of vectors and vectors calculus and attempts to explain all the topics in mechanics from this basis. It is hoped that the students ... 
Geometry
Cherinda, Marcos (20101216)The Module on Geometry starts by looking at the historical development of knowledge that the humankind gather along centuries and became later, about 300 BC, the mathematical subject called “Euclidian Geometry” because ... 
Calculus
Masenge, Ralph W. P. (20101216)This is a four unit module. The first two units cover the basic concepts of the differential and integral calcualus of functions of a single variable. The third unit is devoted to sequences of real numbers and infinite ... 
Probability and Statistics
Chege, Paul (20101117)This module consists of three units: Unit 1: Descriptive Statistics and Probability Distributions Descriptive statistics in unit one is developed either as an extension of secondary mathematics or as an introduction ... 
Numerical Methods
Masenge, Ralph W. P. (20101117)First Learning Activity: Types and Causes of Errors The first learning activity aims at making the learner appreciate the need for numerical methods. It is also felt that this is the right moment to define the concept ... 
Basic Mathematics
Khalagai, Jairus M. (20101117)This module consists of three units which are as follows: Unit 1: (i) Sets and Functions (ii) Composite Functions This unit starts with the concept of a set. It then intoroduces logic which gives the learner techniques ... 
Linear Programming
Mtetwa, David K. J. (20101117)This module introduces the learner to a particular mathematical approach to analysing real life activity that focuses on making specific decisions in constrained situations. The approach, called linear programming, is ... 
Linear Algebra
Chihaka, Tendayi (20101117)Abstract: The general layout of content in the units proceeds, wherever possible from the concrete representation of the concepts to their abstract forms. Unit 1 begins with a treatment of systems of linear equations and ... 
Differential Equations
Ekol, George L. (20101117)Overview: Prose description This module consisst of two units, namely Introduction to Ordinary differential equations and higher order differential equations respectively. In unit one both homogeneous and nonhomogeneous ... 
Analysis 1
Khalagai, Jairus M. (20101117)Part 1 consists of three units: Unit 1  Analysis on the real line In this unit we start by decomposing the set of real numbers into its subsets. We then define the so called standard metric on to be able to study its ... 
Number theory
Cheqe, Paul (20101011)The number theory module consists of two units. It presupposes the teacher trainee is conversant with Basic mathematics. The first unit deals with properties of integers and linear diophantine equations. It progresses ...