About this course
Basic Mathematics for 1st PUCBasic Mathematics is the key to higher education courses for commerce students. We have designed this course for you to do well and excel in your Karnataka State board PUC I year Basic Maths. We cover in minute details all the 21 chapters starting from “Number Theory” going through “Progressions, and ending with “Straight Lines”. This course is designed for you to succeed and excel in PUC I year Basic Mathematics.
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Number Theory
6 Parts
Introduction to Real Numbers
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Euclid’s Division Algorithm
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Exercise Problems on HCF
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Fundamental Theorem of Arithmetic
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Problems on Fundamental Theorem of Arithmetic
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Irrational Numbers
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Sets, Relations and Functions
17 Parts
Introduction to Sets
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Problems on Basics of Set Theory
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Problems on Basics of Set Theory
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Subsets of Real Numbers
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Venn Diagrams
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Operations on Sets
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Difference of Sets
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Complement of a Set
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Properties of Complement of Sets
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Problems on Complement of Sets
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Cardinality of Sets
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Problems on Cardinality of Sets
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Cartesian Products of Sets
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Introduction to Relations
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Problems on Relations
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Some Functions and Their Graphs
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Algebra of Real Functions
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Theory of Indices
3 Parts
Introduction to Indices
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Problems on Laws of Indices
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Problems on Laws of Indices
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Logarithms
5 Parts
Introduction to Logarithms
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Laws of Logarithms
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Problems on Laws of Logarithms
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Common Logarithms
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Problems on Common Logarithms
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Progressions
19 Parts
Introduction to Sequences
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Introduction to Arithmetic Progression A P
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Problems on Standard Form of an A P
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nth term of an A P
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Problems on nth term of an A P
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Problems on nth term of an A P
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Sum to n terms of an A P
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Sum to n terms of an A P
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Sum to n terms of an A P
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Sum to n terms of an A P
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Sum to n terms of an A P
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Miscellaneous problems on A P
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Harmonic Progression H P
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Geometric Progression
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Geometric Progression
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Geometric Series
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Geometric Series
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AM HM and GM
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Problems on AM HM and GM
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Theory of Equations
14 Parts
Introduction to Theory of Equations
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Introduction to Pair of Linear Equations
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Algebric and Geometric representation of Pair of Linear Equations
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Algebric Methods of Solving Pair of Linear Equations
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Elimination Method
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Problems on Elimination Method
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Cross Multilication Method
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Cross Multilication Method
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Equation Reducible to a Pair of Linear Equations in two Variable
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Introduction to Quadritic Equations
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Formation of Quadritic Equation
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Solution of Adfected Quadritic Equation
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Quadritic Formula Method
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Quadritic Formula Method
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Linear Inequalities
6 Parts
Introduction to Linear Inequalities
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Algebraic Solutions of Linear Inequalities in One
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Algebraic Solutions of Linear Inequalities in One
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Graphical Solutions of Linear Inequalities in Two
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Graphical Solutions of Linear Inequalities
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Solution of System of Linear Inequalities
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Simple and Compound Interset
6 Parts
Introduction to Simple Interest
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Problems on Simple Interest
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Compound Interest
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Problems on Compound Interest
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Nominal and Effective Rate of Interest
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Depreciation
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Annunities
4 Parts
Introduction to Annuities
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Present Value of Annuity Immediate
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Future and Present Value of Annuity
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Future and Present Value of Annuity
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Averages
5 Parts
Introduction to Averages
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Combined Average
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Problems on Types of Averages
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Problems on Types of Averages
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Problems on Types of Averages
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Percentage Profits and Loss
4 Parts
Introduction to Percentages
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Percentage Increase and Decrease of a Value
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Profit and Loss
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Problems on Profit and Loss
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Linear Functions
5 Parts
Introduction to Linear Functions
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Break – Even Analysis
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Problems on Break – Even Analysis
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Problems on Break – Even Analysis
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Problems on Break – Even Analysis
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Angles and Trignometric Ratios
6 Parts
Introduction to Angles
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Introduction to Angles
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Introduction to Trigonometry
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Trigonometric Ratios
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Trigonometric Ratios
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Problems on Trigonometric Ratios
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Standard and Allied Angles
8 Parts
Trigonometric Ratios of Standard Angles
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Trigonometric Ratios of Standard Angles
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Trigonometric Identities
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Trigonometric Identities
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Trigonometric Ratios of Complementary Angles
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Trigonometric Ratios of Complementary Angles
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Miscellaneous Problems
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Miscellaneous Problems
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Coordinate System in a Plane
7 Parts
Introduction to Coordinate Geometry
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Distance Formula
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Section Formula
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Problems on Section Formula
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Problems on Section Formula
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Area of a Triangle
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Area of a Triangle
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Locus and its Equations
2 Parts
Introduction to Locus of a Point
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Equation of the Locus of a Point
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Straight Lines
12 Parts
Introduction to Straight Lines
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Conditions for Parallelism and Perpendicularity
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Collinearity of Three Points
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Problems on Angles between two lines and Collinear
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Various Forms of the Equation of a Line
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Various Forms of the Equation of a Line
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Problem on Various Forms of the Equation of a Line
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Problem on Various Forms of the Equation of a Line
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General Equation of a Line
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Distance of a Point from a Line
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Problems on Distance of a Point from a Line
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Problems on Distance of a Point from a Line
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Solved Sample Paper-1
1 Parts
Solved Sample Paper-1 - 1161
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Solved Sample Paper-2
1 Parts
Solved Sample Paper-2 - 1162
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Solved Sample Paper-3
1 Parts
Solved Sample Paper-3 - 1163
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Solved Sample Paper-4
1 Parts
Solved Sample Paper-4 - 1355
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Solved Sample Paper-5
1 Parts
Solved Sample Paper-5 - 1356
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Solved Sample Paper-6
1 Parts
Solved Sample Paper-6 - 1357
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