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MAT 111 Introductory Mathematics course outline

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Course outline for Introductory Mathematics

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  • June 25, 2019
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  • 2017/2018
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MAT111 Course Outline

Aims and learning objectives:
 This pre-calculus course consolidates and builds upon school mathematics.
 It will lead the student to a better understanding of algebraic concepts and
techniques.


Course synopsis:
 Basic algebra

 Introduction to functions and their graphs

 Trigonometry

 Complex numbers

MAIN REFERENCE:
INTRODUCTORY MATHEMATICS, University of Botswana, Customized
textbook based on Ron Larson, Pre-calculus.


Course content:

1. Number systems: Natural numbers, Integers, Real numbers, powers,
exponents.
2. Radicals (Surds)
3. algebraic and polynomials expressions. Polynomials & factoring, rational
expressions, multiplication and division of rational expressions,
simplification.
4. Domain, range, sketch and graph, max & min, linear functions, coordinate
plane, distance, midpoint, equation of circle, shifting, reflecting, graph
stretching, odd and even functions.
5. Algebra and composition of functions. Inverse functions, types of
functions: Injective (into=1-1), surjective (onto). Linear equations:
Simultaneous 2 equations in 2 unknowns. Roots=zeroes, double zero, up
and down, intersection of graphs.
6. Quadratic equations, equations that reduce to quadratics (equations
involving indices and logarithms), relation between roots and coefficients.

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