Be an Expert in Basic Mathematics: Course 1

Name: Be an Expert in Basic Mathematics: Course 1
Rating: 4.6 (29 reviews)

Learn applied mathematics from basics to advance.

Created bySeema Ranaware

Last updated 9/2020

English

What you'll learn

Applied maths from basics to advance for 10 + grades
Calculus , Algebra ,trigonometry.....

Course content

6 sections • 72 lectures • 10h 12m total length

Definition, Evaluation and Solving a Determinant9:51
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.
Crammer's rule9:04
Applications of Determinants10:00
Test on Determinants

Matrix: introduction, definition and types of matrices.11:57
Algebra of Matrices: Addition, Subtraction and Equality of matrices11:14
Solving a matrix for variables4:55
Practice solving systems of linear equations using a matrix approach to find x, y, and z from augmented matrices.
Multiplication of two matrices7:34
Transpose of a matrix12:33
Determinant of a matrix7:03
Adjoint of a matrix8:49
Inverse of a matrix8:57
Solving linear equations using matrix10:03
Test on Matrices

Basics of Partial Fraction10:31
Introduction to partial fractions. Proper and improper fractions. Resolving simple questions to partial fraction.
To Resolve Proper Fraction - Type I15:06
a) Denominator with multiplier 'x'
b) 'ax + b' type denominator
Proper Fractions with Special Functions5:10
Special functions like exponential, logarithmic and trigonometric etc.
Partial Fractions by Factorization of Denominator16:00
Various methods of factorization.
To resolve proper fractions by factorization of the denominator.
Factorization of (a2-b2) Type Denominator11:03
Expansion of the term (a2 - b2)
Resolving to partial fraction with similar denominators
To Resolve Proper Fraction - Type II15:28
To resolve proper fraction where denominator contains repeated linear factors
Irreducible Factors - Type III8:52
Discover irreducible factors and how to identify expressions that cannot be reduced further. Practice factoring polynomials like x^2 − x and x^2 + 1, using substitution and simplification techniques.
Improper Fractions8:42
Resolve Improper Fraction5:52
Test on Partial Fractions

Logarithm and Exponent Form6:51
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 .
Evaluation of Simple Logarithms9:41
Evaluation of logarithm without using log tables explained with examples .
Logarithmic Formulae10:28
Numericals - Type I9:30
Solving logarithmic numerical without using log tables or calculators using log formulas
Solve for x - I12:22
Learn to solve for x by factoring equations and setting each factor to zero to find all possible x values.
Solve for x - II10:49
Solve for x using exponential and logarithmic techniques, isolate x via shifting and algebraic manipulation, and approximate solutions when exact forms with base e are encountered.
Change of Base12:17
Explore the change of base formula to convert logarithms from one base to another, including shifting to base e and using reciprocal relationships to simplify expressions.
Miscellaneous Questions on Logarithm13:34
Test on Logarithms

Binomial Theorem, Factorial, Permutation and Combination18:09
(a+b)^n Expansion using Binomial Theorem7:12
(a-b)^n Expansion using Binomial Theorem11:15
(1+x)^n and (1-x)^n Expansion using Binomial Theorem14:03
(1+x)^n and (1-x)^n 'Prove That' Numericals using Binomial Theorem8:41
Apply the binomial theorem to evaluate (1+x)^n and (1-x)^n numericals, highlighting sign patterns and consistent treatment of terms a and b.
Pascal's Triangle5:06
Finding 'nth' Term from Expansion8:43
Discover how to find the nth term in a binomial expansion using the binomial coefficient nCr and the general term formula, with worked examples.
Find Middle Term of Expansion (a+b)^n where n=even5:25
Master the middle term in the expansion of (a+b)^n for even n using binomial expansion, and apply key concepts from basic mathematics.
Find Middle Term of Expansion (a+b)^n where n=odd7:44
Term Independent of 'x'7:46
Find Coefficient of Any Term in an Expansion5:44
Test on Binomial Theorem

Trigonometric Ratios, Angles in Degree and Radian8:54
Trigonometric Ratios of Some Specific Angles10:44
ASTC and Fundamental Identities9:05
Numericals based on Basic Formulae4:56
Numericals based on Fundamental Identities3:24
Explore numericals based on fundamental identities, using step-by-step reasoning to simplify expressions involving sine, cosine, and related identities.
Trigonometric Ratios of Allied Angles11:23
Numericals on Allied Angles11:14
Trigonometric Ratios of Compound Angles (Sine & Cosine)9:21
Trigonometric Ratios of Compound Angles (Tangent)5:30
Numericals on T.Rs of Compound Angles12:12
Trigonometric Ratios of Multiple and Sub-multiple Angles12:38
Relation between Sine/Cosine & Tangent Ratio in Multiple Angles10:08
Numericals on Multiple/Sub-multiple Angles6:46
Numericals on Multiple/Sub-multiple Angles6:26
Factorization/ Defactorization Formulae6:47
Exercise A : Factorization/ Defactorization Formulae10:20
Learn factorization and defactorization formulae, master sign rules for sums and differences, and practice applying these formulas to solve questions using variables like C, B, and D.
Exercise B : Factorization/ Defactorization Formulae11:05
Exercise C : Factorization/ Defactorization Formulae8:06
Exercise D : Factorization/ Defactorization Formulae11:25
Exercise E : Factorization/ Defactorization Formulae7:50
Exercise F : Factorization/ Defactorization Formulae5:55
Inverse Trigonometry8:18
Inverse Trigonometry6:07
Inverse Trigonometry10:25
Master inverse trigonometry concepts by working with trigonometric formulas and functions, manipulating algebraic expressions, and using roots and fractions to solve practical problems.
Inverse Trigonometry3:37
Inverse Trigonometry6:14
Explore inverse trigonometry by relating sine, cosine, and other trig expressions using identities, plus and minus forms, and cross-multiplication to solve problems.
Test on 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

Be an Expert in Basic Mathematics: Course 1

What you'll learn

Explore related topics

Course content

Determinants4 lectures • 29min

Matrix10 lectures • 1hr 23min

Partial Fractions10 lectures • 1hr 37min

Logarithm9 lectures • 1hr 26min

Binomial Theorem12 lectures • 1hr 40min

Trigonometry27 lectures • 3hr 39min

Requirements

Description

Who this course is for: