Mathematics for natural sciences freshman students moduel free pdf download
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| natural maths |
This moduel prepared by
* Ato arbsie yasin
* DR. berhanu bekele
* Dr. berhanu guta
* Ato wondwosen zemene
Book Contents
◈◈Chapter 1: Propositional Logic and set Theory ◈◈
◈ Propositional Logic◈
◈ Definition and examples of Propositions ◈
◈ Logical connectives ◈
◈ Compound (or complex) proposition ◈
◈Tautology and contradiction ◈
◈ Open propositions and quantifiers ◈
◈ Arguments and Validity ◈
◈ Set Theory ◈
◈ The Concept of a set ◈
◈Description of sets ◈
◈ Set operations and Venn diagrams ◈
◈◈Chapter 2:The Real and Complex Number Systems ◈◈
◈The real number system
◈The natural numbers, principle of mathematical induction
and the well ordering axiom
◈The set of integers
◈ The set of rational numbers
◈ The set of real numbers, upper bound and lower bound, least
◈Upper bound and greatest lower bound; completeness property
of real numbers
◈The set of complex numbers
◈Plotting complex numbers
◈Operations on complex numbers
◈Conjugate of a complex number
◈Modulus (Norm) of a complex number
◈Additive and multiplicative inverse
◈Argument of a complex number
◈Polar form of a complex numbers
◈Extraction of roots
◈◈Chapter 3: Functions◈◈
◈Review of relations and functions
◈Real valued functions and their properties
◈Types of functions and inverse of a function
◈Polynomials, zeros of polynomials, rational functions and
their graphs
◈Definition and basic properties of logarithmic, exponential,
trigonometric and hyperbolic functions, and their graphs.
◈◈Chapter 4: Analytic Geometry◈◈
◈Distance Formula and Equation of Lines
◈Distance between two points and division of segments
◈Equations of lines
◈Distance between a point and a line
◈Circles
◈Definition of a circle
◈Equation of a circle
◈Intersection of a circle with a line and tangent line to a circle
◈Parabolas
◈Definition of parabola
◈Equation of parabolas
◈Ellipse
◈Definition of ellipse
◈Equation of ellipse
◈Hyperbola
◈Definition of a hyperbola
◈Equation of a hyperbola
◈The general second degree equation
◈Rotation of coordinate axes
◈Analysis of the general second degree equations
References
