Browsing AVU Resources En  Mathematics by Issue Date
Now showing items 120 of 25

Mechanics
Chihaka, Tendayi (20312)This topic of mechanics has been treated as that branch of mathematics that mathematically attempts to explain our physical environment. It is that branch of mathematics that spans the divide between our natural sciences ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Geometry
Cherinda, Marcos (20180220)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 ... 
Basic Mathematics
M. Khalagai, Jairus (20180310)The rationale of teaching Basic mathematics is that it plays the role of filling up gaps that the student teacher could be having from secondary school mathematics. For instance, a lack of a proper grasp of the real number ... 
Abstract Algebra
Onak Giel, Othow (20180312)This module aims to acquaint you with the mathematical aspects of rings and groups and the underlying algebraic structures and when they are looked at as nonempty sets, how their elements are combined by binary operations ... 
Analysis 2
M. Khalagai, Jairus (20180313)The rationale of teaching analysis is to set the minimum content of Pure Mathematics required at undergraduate level for student of mathematics. It is important to note that skill in proving mathematical statements is one ... 
Calculus
W.P. Masenge, Ralph (20180315)This is a four unit module. The first two units cover the basic concepts of the differential and integral calculus of functions of a single variable. The third unit is devoted to sequences of real numbers and infinite ... 
Linear Algebra
Chihaka, Tendayi (20180315)The study of the field of Linear Algebra will equip you with the requisite background knowledge and understanding which will enable you to teach such topics as simple linear equations and their solutions; vectors and ... 
Numerical Methods
W.P. Masenge, Ralph (20180315)A key attribute of mathematics is its applicability in problem solving. The history of the subject is full of evidence that the driving force in its early development was based in trying to solve problems in plane geometry, ...