Basic Mathematics by Serge Lang
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What you'll learn
This course includes
- 20 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 74 lessons • 20 hours of video
Basic Mathematics by Serge Lang
74 lessons
• 20 hours
Basic Mathematics by Serge Lang
74 lessons
• 20 hours
- Introduction (Basic Mathematics) 02:56
- 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) 07:49
- 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) 06:48
- Logic 2 Logic (Basic Mathematics) 20:54
- Logic 3 Sets and Elements (Basic Mathematics) 09:57
- Logic 4 Indices (Basic Mathematics) 08:52
- Logic 5 Notation (Basic Mathematics) 04:13
- Part 2 Intuitive Geometry (Basic Mathematics) 05:58
- 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) 09:30
- 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) 06:40
- 10.2: Rays (Basic Mathematics) 17:43
- 10.3 Lines (Basic Mathematics) 30:41
- 10.4 Ordinary Equation of the Line (Basic Mathematics) 05:29
- 11.1 Radian Measure (Basic Mathematics) 09:47
- 11.2 Sine and Cosine (Basic Mathematics) 29:48
- 11.3 The Graphs (Basic Mathematics) 08:06
- 11.4 Tangent (Basic Mathematics) 07:54
- 11.5 Addition Formula (Basic Mathematics) 21:47
- 11.6 Rotation (Basic Mathematics) 07:55
- 12.1 The Straight Line Again (Basic Mathematics) 12:37
- 12.2 The Parabola (Basic Mathematics) 10:53
- 12.3 The Ellipse (Basic Mathematics) 05:42
- 12.4 The Hyperbola (Basic Mathematics) 07:18
- 12.5 Rotation of Hyperbolas (Basic Mathematics) 09:15
- 13.1 Definition of a Function (Basic Mathematics) 18:36
- 13.2 Polynomial Functions 1/2 (Basic Mathematics) 15:53
- 13.2 Polynomial Functions 2/2 (Basic Mathematics) 20:34
- 13.3 Graphs of Functions (Basic Mathematics) 10:19
- 13.4 Exponential Function (Basic Mathematics) 11:49
- 13.5 Logarithms (Basic Mathematics) 13:57
- 14.1 Definition of a Mapping (Basic Mathematics) 16:41
- 14.2 Formalism of Mappings (Basic Mathematics) 20:39
- 14.3 Permutations 1/3 (Basic Mathematics) 11:52
- 14.3 Permutations 2/3 (Basic Mathematics) 11:56
- 14.3 Permutations 3/3 (Basic Mathematics) 21:20
- 15.1 The Complex Plane (Basic Mathematics) 19:25
- 15.2 Polar Form (Basic Mathematics) 10:48
- 16.1 Inductions (Basic Mathematics) 18:12
- 16.2 Summations (Basic Mathematics) 17:23
- 16.3 Geometric Series (Basic Mathematics) 07:07
- 17. Determinants / 17.1 Matrices (Basic Mathematics) 12:19
- 17.2 Determinants of Order 2 (Basic Mathematics) 11:42
- 17.3 Properties of 2x2 Determinants (Basic Mathematics) 18:08
- 17.4 Determinants of Order 3 (Basic Mathematics) 12:29
- 17.5 Properties of 3x3 Determinants (Basic Mathematics) 22:17
- 17.6 Cramer's Rule (Basic Mathematics) 10:14
- Review (Basic Mathematics) 08:08
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