Basic Mathematics by Serge Lang Course

4.5 (43 reviews)
  • 74 Lessons
  • 4.9K Students
  • Certificate of completion

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

  • Develop fundamental algebraic skills for solving equations and inequalities in real-world contexts
  • Apply basic principles of arithmetic, fractions, and percentages to everyday financial and measurement problems
  • Understand and utilize properties of numbers, including prime numbers, factors, and multiples for mathematical reasoning
  • Interpret and construct simple geometric figures, understanding their properties and relationships in practical scenarios
  • Use basic mathematical notation and terminology to communicate mathematical ideas clearly and effectively
  • Solve problems involving ratios, proportions, and rates relevant to real-life situations like shopping and cooking
  • Implement foundational concepts of set theory and logic to analyze mathematical statements and problems
  • 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

2:56

1 1 Integers Basic Mathematics

14:10

1 2 Rules for Addition Basic Mathematics

31:13

1 3 Rules for Multiplication Basic Mathematics

31:06

1 4 Even and Odd Integers Divisibility Basic Mathematics

17:21

1 5 Rationals Basic Mathematics

47:53

1 6 Multiplicative inverses Basic Mathematics

34:21

2 1 Equations in two unknowns Basic Mathematics

15:06

2 2 Equations in three unknowns Basic Mathematics

12:33

3 1 Real numbers Addition and subtraction Basic Mathematics

7:49

3 2 Real numbers Positivity Basic Mathematics

27:38

3 3 Powers and roots Basic Mathematics

19:28

3 4 Inequalities Basic Mathematics

26:49

4 Quadratic Equations Basic Mathematics

21:32

Logic 1 On reading books Basic Mathematics

6:48

Logic 2 Logic Basic Mathematics

20:54

Logic 3 Sets and Elements Basic Mathematics

9:57

Logic 4 Indices Basic Mathematics

8:52

Logic 5 Notation Basic Mathematics

4:13

Part 2 Intuitive Geometry Basic Mathematics

5:58

5 1 Distance Basic Mathematics

11:28

5 2 Angles Basic Mathematics

26:11

5 3 Pythagoras Theorem Basic Mathematics

38:12

6 1 Some Standard Mappings of the Plane Basic Mathematics

21:06

6 2 Isometry Basic Mathematics

32:15

6 3 Composition of Isometries Basic Mathematics

18:03

6 4 Inverse of Isometries Basic Mathematics

15:02

6 5 Characterization of Isometries Basic Mathematics

19:25

6 6 Congruence Basic Mathematics

25:53

7 1 Area of a disc of radius r Basic Mathematics

10:45

7 2 Circumference of a Circle of Radius r Basic Mathematics

9:30

8 1 Coordinate Systems Basic Mathematics

18:55

8 2 Distance Between Points Basic Mathematics

15:04

8 3 Equation of a Circle Basic Mathematics

13:26

8 4 Rational Points on a Circle Basic Mathematics

19:27

9 1 Dilations and Reflections Basic Mathematics

15:29

10 1 Segments Basic Mathematics

6:40

10 Rays Basic Mathematics

17:43

10 3 Lines Basic Mathematics

30:41

10 4 Ordinary Equation of the Line Basic Mathematics

5:29

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  • Complete all lessons.
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4.5 (43 reviews)

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Reviews

AHMED JOHA

· 1yr ago

It is a good leasons

Jigdrel wangmo

· 2yrs ago

i really enjoy this courses

Ugyen Lhendup

· 2yrs ago

exellent course

Youden

· 2yrs ago

i really enjoy course

sonam deki

· 2yrs ago

i really injoy this course

Sangay chimi Rinzin

· 2yrs ago

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Yeshey Jurmi

· 2yrs ago

I really enjoyed the courses.

Huzaif Ahmed Khan

· 2yrs ago

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NAGALLA SRI KIRAN

· 2yrs ago

THANK UOU VERY MUCH

Abdifataah Jaamac carab

· 2yrs ago

This course is very useful one

Garang Malek Garang

· 3yrs ago

This course is very helpful for my studies

Abhiraj Kamley

· 3yrs ago

Yes

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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Course Intro