Be an Expert in Basic Mathematics: Course 1
4.6 (21 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
1,368 students enrolled

Be an Expert in Basic Mathematics: Course 1

Learn applied mathematics from basics to advance.
4.6 (21 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
1,368 students enrolled
Created by Seema Ranaware
Last updated 4/2020
English
Current price: $22.99 Original price: $34.99 Discount: 34% off
46 minutes left at this price!
30-Day Money-Back Guarantee
This course includes
  • 10 hours on-demand video
  • 6 articles
  • 69 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • Applied maths from basics to advance for 10 + grades
  • Calculus , Algebra ,trigonometry.....
Requirements
  • Students must have school level proficiency in math.
Description

Hi, this course of mathematics covers all the required topics for applied math  right from basics to advance. This course can be taken by any aspiring student of science, engineering, business, computer science, and industry.

Every lecture is presented as a classroom teaching, so that students can relate to it easily. Each topic is explained in details. Representative examples of each topic are solved step-wise with detailed explanation. Home assignments are given with answer keys for self study.

Who this course is for:
  • 10+ or 12+ graders admitted for engineering polytechnic (Diploma) or Degree courses
Course content
Expand all 72 lectures 10:12:56
+ Determinants
4 lectures 28:55

This session will help students to learn definition of determinants. How to evaluate and how to solve a determinant. Assignment for self study is also given at the end of session.

Preview 09:51
Applications of Determinants
10:00
Test on Determinants
00:00
+ Matrix
10 lectures 01:23:05
Matrix: introduction, definition and types of matrices.
11:57
Algebra of Matrices: Addition, Subtraction and Equality of matrices
11:14
Multiplication of two matrices
07:34
Transpose of a matrix
12:33
Determinant of a matrix
07:03
Adjoint of a matrix
08:49
Inverse of a matrix
08:57
Solving linear equations using matrix
10:03
Test on Matrices
00:00
+ Partial Fractions
10 lectures 01:36:44

Introduction to partial fractions. Proper and improper fractions. Resolving simple questions to partial fraction.

Preview 10:31

a) Denominator with multiplier 'x'

b) 'ax + b' type denominator

To Resolve Proper Fraction - Type I
15:06

Special functions like exponential, logarithmic and trigonometric etc.

Proper Fractions with Special Functions
05:10
  • Various methods of factorization.

  • To resolve proper fractions by factorization of the denominator.

Partial Fractions by Factorization of Denominator
16:00
  • Expansion of the term (a2 - b2)

  • Resolving to partial fraction with similar denominators


Factorization of (a2-b2) Type Denominator
11:03

To resolve proper fraction where denominator contains repeated linear factors

To Resolve Proper Fraction - Type II
15:28
Irreducible Factors - Type III
08:52
Improper Fractions
08:42
Resolve Improper Fraction
05:52
Test on Partial Fractions
00:00
+ Logarithm
9 lectures 01:25:32

Definition of Logarithm is explained with example and introduced what it means . Logarithm and exponential forms are inter convertible  . How to convert log form into exponential form and vice a versa .

Logarithm and Exponent Form
06:51

Evaluation of logarithm without using log tables explained with examples .

Evaluation of Simple Logarithms
09:41

Solving logarithmic numerical without using log tables or calculators using log formulas

Numericals - Type I
09:30
Solve for x - I
12:22
Solve for x - II
10:49
Change of Base
12:17
Miscellaneous Questions on Logarithm
13:34
Test on Logarithms
00:00
+ Binomial Theorem
12 lectures 01:39:48
(a+b)^n Expansion using Binomial Theorem
07:12
(a-b)^n Expansion using Binomial Theorem
11:15
(1+x)^n and (1-x)^n Expansion using Binomial Theorem
14:03
(1+x)^n and (1-x)^n 'Prove That' Numericals using Binomial Theorem
08:41
Pascal's Triangle
05:06
Finding 'nth' Term from Expansion
08:43
Find Middle Term of Expansion (a+b)^n where n=even
05:25
Find Middle Term of Expansion (a+b)^n where n=odd
07:44
Term Independent of 'x'
07:46
Find Coefficient of Any Term in an Expansion
05:44
Test on Binomial Theorem
00:00
+ Trigonometry
27 lectures 03:38:50
Trigonometric Ratios, Angles in Degree and Radian
08:54
Trigonometric Ratios of Some Specific Angles
10:44
ASTC and Fundamental Identities
09:05
Numericals based on Basic Formulae
04:56
Numericals based on Fundamental Identities
03:24
Trigonometric Ratios of Allied Angles
11:23
Numericals on Allied Angles
11:14
Trigonometric Ratios of Compound Angles (Sine & Cosine)
09:21
Trigonometric Ratios of Compound Angles (Tangent)
05:30
Numericals on T.Rs of Compound Angles
12:12
Trigonometric Ratios of Multiple and Sub-multiple Angles
12:38
Relation between Sine/Cosine & Tangent Ratio in Multiple Angles
10:08
Numericals on Multiple/Sub-multiple Angles
06:46
Numericals on Multiple/Sub-multiple Angles
06:26
Factorization/ Defactorization Formulae
06:47
Exercise A : Factorization/ Defactorization Formulae
10:20
Exercise B : Factorization/ Defactorization Formulae
11:05
Exercise C : Factorization/ Defactorization Formulae
08:06
Exercise D : Factorization/ Defactorization Formulae
11:25
Exercise E : Factorization/ Defactorization Formulae
07:50
Exercise F : Factorization/ Defactorization Formulae
05:55
Inverse Trigonometry
08:18
Inverse Trigonometry
06:07
Inverse Trigonometry
10:25
Inverse Trigonometry
03:37
Inverse Trigonometry
06:14
Test on Trigonometry
00:00