
Explore the foundations of the number system, including natural, whole, integer, even and odd numbers, prime and composite numbers, rational and irrational numbers, and key divisibility tests for competitive exams.
Master algebraic manipulation by applying key identities (quadratic, cubic, Sophie Germain) to simplify expressions, factorize polynomials, and solve ratio and proportion problems.
Explore the fundamentals of set theory, including well-defined sets, roster, interval and builder representations, and core operations with Venn diagrams: union, intersection, difference, complement, and more.
Master polynomials and their division, and clarify expressions, equations, identities, and inequalities. Apply the fundamental theorem of algebra, factor theorem, and cross multiplication to solve problems.
Learn the wavy curve method to solve algebraic inequalities by locating zeros and balls, building a sign chart, and identifying intervals where the expression is negative or positive.
Master surds and irrational numbers by learning rationalization, conjugates, and the rules of square roots, with practical techniques for simplifying and solving surd expressions from quadratic contexts.
Examine functions and their graphs, understand domain and range, and plot linear, quadratic, polynomial, rational, irrational, exponential, logarithmic, modulus, greatest integer function.
Learn Entry level concepts for almost all the high level Mathematics Exams
This Course include explanations and problem solving on everything from Basics of Mathematics which are quite useful for all the
competitive Exams. This course will build problem solving skills in you and will set you up to face difficult high level topics like
Number theory, Combinatorics and Calculus.
This course has video lectures, notes in pdf and workbooks to help you test your understanding along the way. To Navigate it better, Basics of Mathematics is organised
into the following Sections
1) Introduction to Number System and properties of elements of Number system
2) Algebraic Identities and learning to manipulate Algebraic Expressions
3) Set Theory - What is Set, operations on Set and its applications
4) Polynomial and theorems - Basic Terminology, factor and remainder theorem
5) Algebraic Inequalities and Wave Curve method
6) Understanding and Simplifying surds
7) Functions and Graphs - learn to plot graphs of basic function and also how to extract information from a given graph.
Each Subsection will have a set of video lectures followed by pdf notes and worksheets based on what is being taught in the section. Attempting
worksheet before moving to another section will be beneficial. Any doubts regarding the course can be asked in Q&A.