MARC details
| 000 -LEADER |
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| fixed length control field |
03193nam a22002537a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
N/A |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
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| International Standard Serial Number |
N/A |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
PK-LaCSN |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Author Mark |
AMI |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Amin, Prof. Muhammad Chaudhary |
| 110 ## - MAIN ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Muhammad Lodhi, Prof. Shamshad |
| 130 ## - MAIN ENTRY--UNIFORM TITLE |
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| Language of a work |
English |
| 245 ## - TITLE STATEMENT |
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| Title |
Mathematics 11 |
| Remainder of title |
Intermediate Part - 1 |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
First |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Lahore |
| Name of publisher, distributor, etc. |
Punjab Education, Curriculum, Training And Assessment Authority |
| Date of publication, distribution, etc. |
2025 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Materials specified |
Book |
| Pages |
309 |
| 490 ## - SERIES STATEMENT |
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| Materials specified |
Book |
| 520 ## - SUMMARY, ETC. |
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| Summary, Abstract, Review |
This textbook is designed for first-year college students in Pakistan. It introduces students to advanced algebra, trigonometry, coordinate geometry, and basic calculus concepts. The focus is on both theory and problem-solving, preparing students for mathematics at higher levels (engineering, computer science, economics, etc.). Contents Summary 1. Sets, Functions, and Groups o Basic set theory, operations on sets. o Functions and their types. o Introduction to groups (algebraic structures). 2. Matrices and Determinants o Types of matrices, matrix operations. o Determinants and properties. o Application in solving simultaneous equations (Cramer’s Rule). 3. Quadratic Equations o Nature of roots, relationships between roots and coefficients. o Formation of quadratic equations. o Symmetric functions of roots. 4. Partial Fractions o Expansion of algebraic fractions into partial fractions. o Use in integration and algebraic simplification. 5. Sequences and Series o Arithmetic progression (A.P.). o Geometric progression (G.P.). o Harmonic progression (H.P.). o Summation of series. 6. Permutations, Combinations, and Probability o Fundamental principle of counting. o Permutations & combinations with applications. o Probability rules and simple problems. 7. Binomial Theorem o Statement and proof of theorem. o General term and middle term. o Applications in expansions and approximations. 8. Trigonometry o Fundamental identities. o Trigonometric functions and transformations. o Multiple-angle and half-angle formulas. o Inverse trigonometric functions. o Solutions of trigonometric equations. 9. Functions and Limits o Concept of function and graphing. o Introduction to limits and continuity. o Evaluation of standard limits. 10. Differentiation o Concept of derivative (first principle). o Rules of differentiation. o Applications to tangents, normals, and rate of change. 11. Introduction to Analytic Geometry o Cartesian coordinates and distance formula. o Equation of straight line (slope, intercept form). o Circle equation and basic properties. Learning Outcomes By the end of Mathematics Intermediate Part 1, students should be able to: • Apply algebraic methods to solve equations and inequalities. • Use matrices, determinants, and partial fractions in problem-solving. • Analyze trigonometric identities and equations. • Understand the basics of probability and counting principles. • Use limits and differentiation for calculus applications. • Apply coordinate geometry to lines and circles. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Amin, Prof. Muhammad Chaudhary |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Muhammad Lodhi, Prof. Shamshad |
| 760 ## - MAIN SERIES ENTRY |
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| Edition |
First |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Teacher Resource |
