Mathematics Lessons - Polytech: APPROXIMATIONS Topics

APPROXIMATIONS

• 0 - A Welcome Speech from Prof P.S. NGOHE-EKAM

  : 0:03:48 mins

• 1 - Chapter Preview

  : 0:00:51 mins

• 2 - Approximation to the nth root of a number

  : 0:05:10 mins

• 3 - Approximations of Natural logarithms

  : 0:03:19 mins

• 4 - Approximations using Maclaurin’s Series expansion

  : 0:04:03 mins

• 5 - Approximation of trigonometric angles
• • Introduction : 0:00:57 mins
• • Basic Concepts : 0:02:06 mins
• • Calculating trigonometric angles : 0:01:35 mins
• • Small Angle Identities : 0:00:57 mins
• • Double Angle Identities : 0:02:13 mins
• • Exercises : 0:01:19 mins
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LOGIC AND MATHEMATICAL PROOFS

• 1 - Chapter Preview

  : 0:01:30 mins

• 2 - Logic
• • Introduction : 0:00:30 mins
• • Basic Definitions : 0:00:49 mins
• • Logical Operators : 0:04:50 mins
• • Properties Of Logical Operator : 0:03:05 mins
• • Tautology, Contradiction and arguments : 0:02:41 mins
• 3 - Mathematical Proofs
• • Introduction : 0:00:21 mins
• • Proof by Deduction : 0:01:09 mins
• • Proof by induction : 0:02:40 mins
• • Indirect proof by contrapositive : 0:02:24 mins
• • Proof by contradiction : 0:01:17 mins
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CONGRUENCIES AND DIVISION ALGORITHM

• 1 - Chapter Preview

  : 0:00:46 mins

• 2 - Divisibility

  : 0:07:31 mins

• 3 - Linear Diophantine Equations

  : 0:03:22 mins

• 4 - Congruences

  : 0:04:11 mins

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LINEAR ALGEBRA

• 1 - Chapter Preview

  : 0:01:34 mins

• 2 - Determinant of a matrix

  : 0:02:51 mins

• 3 - Inverse of a matrix

  : 0:03:28 mins

• 4 - Crammer's rule

  : 0:02:52 mins

• 5 - Eigen values and Eigen vectors

  : 0:03:18 mins

• 6 - Diagonalization

  : 0:01:42 mins

• 7 - Solved Examples and Exercises

  : 0:14:19 mins

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VECTOR CALCULUS AND BARYCENTERS

• 1 - Chapter Preview

  : 0:01:39 mins

• 2 - Scalar (dot) product

  : 0:03:16 mins

• 3 - Vector (cross) product

  : 0:01:46 mins

• 4 - Scalar Triple (mixt) product

  : 0:00:52 mins

• 5 - Lines

  : 0:03:01 mins

• 6 - Planes

  : 0:02:09 mins

• 7 - Angles Areas and Volumes

  : 0:01:12 mins

• 8 - Circles and spheres

  : 0:02:30 mins

• 9 - Barycenter

  : 0:05:51 mins

• 10 - Solved Examples and Exercises

  : 0:12:09 mins

• 11 - Catch-up Class: Dimensions

  : 0:25:12 mins

• 12 - Catch-up Class: Oriented Angles

  : 0:03:24 mins

• 13 - Catch-up Class: 2D - Lines

  : 0:42:45 mins

• 14 - Catch-up Class: 2D - Lines (Examples)

  : 0:28:00 mins

• 15 - Catch-up Class: 3D - Introduction

  : 0:11:15 mins

• 16 - Catch-up Class: 3D - Distance of a point from a line

  : 0:11:11 mins

• 17 - Catch-up Class: 3D - Distance of a point from a plane

  : 0:11:44 mins

• 18 - Catch-up Class: 3D Figures and Planes

  : 0:41:53 mins

• 19 - Catch-up Class: Barycenters I

  : 0:48:18 mins

• 20 - Catch-up Class: Barycenters II

  : 0:44:33 mins

• 21 - Catch-up Class: Barycenters III

  : 0:34:19 mins

• 22 - Catch-up Class: Barycenters IV

  : 0:45:25 mins

• 23 - Catch-up Class: Barycenters V

  : 0:26:48 mins

• 24 - Catch-up Class: Barycenters VI

  : 0:40:00 mins

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AFFINE GEOMETRY AND TRANSFORMATIONS

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COMPLEX NUMBERS

• 2 - Properties of Moduli And Arguements

  : 0:06:28 mins

• 3 - Properties of Moduli And Arguements (EXAMPLES)

  : 0:35:35 mins

• 4 - COMPLEX GEOMETRY PART I

  : 0:31:02 mins

• 5 - COMPLEX GEOMETRY PART II

  : 0:23:29 mins

• 6 - COMPLEX GEOMETRY PART III

  : 0:18:22 mins

• 7 - Complex Transformations Part I

  : 0:14:28 mins

• 8 - Complex Transformations Part II

  : 0:22:50 mins

• 9 - Complex Transformations Part II (examples on Isometries)

  : 0:29:12 mins

• 10 - Complex Transformations Part II (Homotheties)

  : 0:16:36 mins

• 11 - Complex Transformations Part III

  : 0:31:51 mins

• 12 - Complex Transformations Part IV

  : 0:23:48 mins

• 13 - Complex Transformations Part IV (Examples)

  : 0:23:57 mins

• 14 - Complex Transformations Part IV (Examples Part II)

  : 0:18:25 mins

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CONIC SECTIONS

• 1 - Chapter Preview

  : 0:00:46 mins

• 2 - DEFINITIONS

  : 0:05:25 mins

• 3 - TYPES OF CONICS
• • Introduction : 0:01:59 mins
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SEQUENCES AND SERIES

• 1 - Chapter Preview

  : 0:00:51 mins

• 2 - NUMERICAL SEQUENCES
• • Introduction : 0:01:30 mins
• 3 - NUMERICAL SERIES
• • Introduction : 0:00:35 mins
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FUNCTIONS

• 1 - Domain of Definition I

  : 0:34:32 mins

• 2 - Domain of Definition II

  : 0:24:06 mins

• 3 - Limits I

  : 0:48:00 mins

• 4 - Limits II

  : 0:46:12 mins

• 5 - Limits Example I

  : 0:24:16 mins

• 6 - Limits Example II

  : 1:04:06 mins

• 7 - Comparison Between inx, e^x, x^a functions

  : 0:28:26 mins

• 8 - Continuity

  : 0:28:03 mins

• 9 - Derivability

  : 0:27:47 mins

• 10 - Sketching of Functions

  : 0:49:26 mins

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INTEGRATION AND DIFFERENTIAL EQUATIONS

• 1 - Chapter Preview

  : 0:01:43 mins

• 2 - STANDARD PRIMITIVES

  : 0:02:36 mins

• 3 - DEFINITE INTEGRALS

  : 0:04:57 mins

• 4 - INTEGRATION BY PARTIAL FRACTIONS

  : 0:02:06 mins

• 5 - INTEGRATION BY PARTS

  : 0:07:24 mins

• 6 - INTEGRATION BY CHANGE OF VARIABLE

  : 0:07:09 mins

• 7 - INTEGRATION BY CHANGE OF VARIABLE II

  : 0:05:31 mins

• 8 - INTEGRATION OF MODULUS FUNCTION

  : 0:01:46 mins

• 9 - SIMPLE IMPROPER INTEGRALS

  : 0:03:24 mins

• 10 - AREAS, VOLUMES AND CENTER OF MASS

  : 0:04:08 mins

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COMBINATORY ANALYSIS AND PROBABILITY

• 1 - Introduction

  : 0 mins

• 2 - COMBINATORY ANALYSIS

  : 0 mins

• 3 - OUTCOMES, EVENTS AND PROBABILITY

  : 0 mins

• 4 - RANDOM VARIABLES

  : 0 mins

• 5 - FAMILIES OF DISCRETE DISTRIBUTION

  : 0 mins

• 6 - CONTINUOUS DISTRIBUTION

  : 0 mins

• 7 - SOLVED EXAMPLES

  : 0 mins

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MOMENTS OF INERTIA

• 1 - CHAPTER PREVIEW

  : 0:03:54 mins

• 2 - DEFINITION

  : 0:03:18 mins

• 3 - CALCULATIONS OF MOI
• • Introduction : 0:02:23 mins

• 4 - RADIUS OF GYRATION

  : 0:02:13 mins

• 5 - THEOREMS OF MOMENT OF INERTIA

  : 0:01:39 mins

• 6 - MOI OF COMPOSITE FIGURES

  : 0:06:30 mins

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MOCK ONE

• 1 - EXERCISE 1 (Q1 TO Q4)

  : 0:15:58 mins

• 2 - EXERCISE 2 (Q5 TO Q7)

  : 0:03:36 mins

• 3 - EXERCISE 3 (Q8 TO Q10)

  : 0:03:51 mins

• 4 - EXERCISE 4 (Q11 TO Q18)

  : 0:17:01 mins

• 5 - EXERCISE 5 (Q24 TO Q27)

  : 0:05:48 mins

• 6 - EXERCISE 6 (Q28 TO Q38)

  : 0:15:57 mins

• 7 - MOCK STRUCTURAL 1

  : 0:27:02 mins

• 8 - MOCK STRUCTURAL 2

  : 0:15:40 mins

• 9 - MOCK STRUCTURAL 3

  : 0:28:34 mins

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