Browsing AVU Resources En  Mathematics by Title
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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 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 ... 
Analysis 1
M. Khalagai, Jairus (20180315)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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Differential Equations
L. Ekol, George (20180315)This module consists of four units, namely Introduction to Ordinary differential equations, higher order ordinary differential equations, power series solutions and special functions and partial differential equations and ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 PROGRAMMING
K. J. Mtetwa, David (20180315)The Prerequisite courses are Basic Mathematics and Linear Algebra, which are offered in this degree program. A knowledge of linear independence, basis, matrix operation, inverses, inequalities, vector spaces, convex sets, ... 
Mathematics 2 Number Theory
Chege, Paul (20180315)Module Developer Writing Tip. In this section, Module Developers should specify the main rationale for the module. A good rationale will clearly present why learners (preservice teachers) will better teach the subject ... 
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 ... 
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 ...