It is a good leasons
Basic Mathematics, by Serge Lang, is a comprehensive book for high school or college students. It offers a firm foundation in elementary principles of mathematics and thereby acts as a facilitator into calculus, linear algebra and other more innovative topics.
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What You'll Learn
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Develop fundamental algebraic skills for solving equations and inequalities in real-world contexts
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Apply basic principles of arithmetic, fractions, and percentages to everyday financial and measurement problems
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Understand and utilize properties of numbers, including prime numbers, factors, and multiples for mathematical reasoning
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Interpret and construct simple geometric figures, understanding their properties and relationships in practical scenarios
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Use basic mathematical notation and terminology to communicate mathematical ideas clearly and effectively
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Solve problems involving ratios, proportions, and rates relevant to real-life situations like shopping and cooking
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Implement foundational concepts of set theory and logic to analyze mathematical statements and problems
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Perform basic operations with integers, rational numbers, and decimals for accurate calculations in daily tasks
Course Content
74 Lessons • 20 h 10 m total
Introduction Basic Mathematics
1 1 Integers Basic Mathematics
1 2 Rules for Addition Basic Mathematics
1 3 Rules for Multiplication Basic Mathematics
1 4 Even and Odd Integers Divisibility Basic Mathematics
1 5 Rationals Basic Mathematics
1 6 Multiplicative inverses Basic Mathematics
2 1 Equations in two unknowns Basic Mathematics
2 2 Equations in three unknowns Basic Mathematics
3 1 Real numbers Addition and subtraction Basic Mathematics
3 2 Real numbers Positivity Basic Mathematics
3 3 Powers and roots Basic Mathematics
3 4 Inequalities Basic Mathematics
4 Quadratic Equations Basic Mathematics
Logic 1 On reading books Basic Mathematics
Logic 2 Logic Basic Mathematics
Logic 3 Sets and Elements Basic Mathematics
Logic 4 Indices Basic Mathematics
Logic 5 Notation Basic Mathematics
Part 2 Intuitive Geometry Basic Mathematics
5 1 Distance Basic Mathematics
5 2 Angles Basic Mathematics
5 3 Pythagoras Theorem Basic Mathematics
6 1 Some Standard Mappings of the Plane Basic Mathematics
6 2 Isometry Basic Mathematics
6 3 Composition of Isometries Basic Mathematics
6 4 Inverse of Isometries Basic Mathematics
6 5 Characterization of Isometries Basic Mathematics
6 6 Congruence Basic Mathematics
7 1 Area of a disc of radius r Basic Mathematics
7 2 Circumference of a Circle of Radius r Basic Mathematics
8 1 Coordinate Systems Basic Mathematics
8 2 Distance Between Points Basic Mathematics
8 3 Equation of a Circle Basic Mathematics
8 4 Rational Points on a Circle Basic Mathematics
9 1 Dilations and Reflections Basic Mathematics
10 1 Segments Basic Mathematics
10 Rays Basic Mathematics
10 3 Lines Basic Mathematics
10 4 Ordinary Equation of the Line Basic Mathematics
How to Get The Certificate
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Complete all lessons.
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Watch at least 50% of Lesson Duration.
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Basic Mathematics by Serge Lang Course Description
Basic Mathematics, by Serge Lang, is a comprehensive book for high school or college students. It offers a firm foundation in elementary principles of mathematics and thereby acts as a facilitator into calculus, linear algebra and other more innovative topics.
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