1st Year Mathematics Key Book PDF by PECTAA – Free Download (New Syllabus)
If you're looking for the Math 1st year key book PDF for the new syllabus, you're in the right place. This post offers complete solution notes for Class 11th Mathematics, fully prepared by PECTAA. It includes all chapters with solved questions to help you learn and revise easily. Whether you searched for “key book math by PECTAA”, “Maths class 11th solution notes”, or “1st year mathematics key book PDF”, you’ll find everything here. Download the book for free and make your study time more effective!1. Complex Numbers
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Definition and basic operations
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Conjugate, modulus, and polar form
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Powers and roots of complex numbers
2. Functions and Graphs
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Definition and types of functions
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Domain and range
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Graphs of different types of functions
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1st year math key book PDF free download by PECTAA Math 1st year key book PDF “key book math by PECTAA Maths class 11th solution notes |
3. Theory of Quadratic Equations
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Solving quadratic equations
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Nature of roots and discriminant
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Graphs of quadratic functions
4. Matrices and Determinants
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Types of matrices
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Matrix operations
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Determinants and their properties
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Inverse of a matrix
5. Partial Fractions
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Introduction to partial fractions
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Types of decompositions
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Solving rational expressions
6. Sequences and Series
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Arithmetic and geometric sequences
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General terms
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Sum of series
7. Permutations and Combinations
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Fundamental principles of counting
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Factorial notation
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Permutations vs. combinations
8. Binomial Theorem
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Statement and expansion
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General term in binomial expansion
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Applications of binomial theorem
9. Introduction to Mathematical Induction
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Principle of induction
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Solving algebraic identities using induction
10. Trigonometric Identities
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Basic identities
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Double and triple angle formulas
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Sum and difference formulas
11. Trigonometric Functions and Graphs
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Sine, Cosine, and Tangent functions
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Period, amplitude, and phase shift
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Graphs of trigonometric functions
12. Limits and Continuity
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Concept of a limit
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Techniques of finding limits
13. Differentiation
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Basic rules of derivatives
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Derivatives of algebraic and trigonometric functions
14. Vectors in Space
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Representation of vectors
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Scalar and vector products
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