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ChampionsPrep Mathematics

by ChampionsPrep Editorial Team

Master CBSE Class 11 and Class 12 Commerce Mathematics and Applied Maths. Step-by-step conceptual walkthroughs covering Sets, Relations, Functions, Matrices, Calculus, and Linear Programming. Visit https://app.championsprep.in for practice problem sets.

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Episodes

  1. What is a Matrix? Complete Introduction for Class 12 CBSE Students

    Learn what a matrix is, understand matrix notation, order, and elements with NCERT-aligned solved examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/what-is-a-matrix-complete-introduction-for-class-12-cbse-students/

  2. How to Simplify Inverse Trig Expressions & Solve Equations – Class 12 Maths

    Learn the trigonometric substitution technique to write inverse trig expressions in simplest form and solve inverse trig equations. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/how-to-simplify-inverse-trig-expressions-solve-equations-class-12-maths/

  3. Types of Functions: Identity, Constant, Polynomial & Rational

    Learn identity, constant, polynomial and rational functions in Class 11 Maths with definitions, graphs, domain-range. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/cbse-xi-maths-ch2-types-of-functions-identity-constant-polynomial-rational/

  4. Properties of Inverse Trigonometric Functions: Key Identities for Class 12 Maths

    Master all essential properties and identities of inverse trigonometric functions for Class 12 CBSE. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/properties-of-inverse-trigonometric-functions-key-identities-for-class-12-maths/

  5. Graphs of Inverse Trigonometric Functions Explained – Class 12 Maths

    Understand how the graphs of sin⁻¹x, cos⁻¹x, tan⁻¹x, and all six inverse trig functions are obtained, what they look like. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/graphs-of-inverse-trigonometric-functions-explained-class-12-maths/

  6. What Is a Function in Maths? Definition, Examples & Function vs Relation

    Understand what a function is in Class 11 Maths, how it differs from a relation, image and preimage, and real valued functions, with solved examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/cbse-xi-maths-ch2-what-is-a-function/

  7. Principal Value of Inverse Trigonometric Functions: Concept, Method & Solved Examples

    What is the principal value of an inverse trig function? Learn the concept, the method for finding it. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/principal-value-of-inverse-trigonometric-functions-concept-method-solved-examples/

  8. Domains and Ranges of All 6 Inverse Trigonometric Functions – Class 12 Maths

    Complete guide to the domains and ranges of sin⁻¹, cos⁻¹, tan⁻¹, cot⁻¹, sec⁻¹, and cosec⁻¹. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/domains-and-ranges-of-all-6-inverse-trigonometric-functions-class-12-maths/

  9. Relations in Maths: Domain, Range, Codomain & Arrow Diagrams

    Understand relations in Class 11 Maths with clear definitions of domain, range and codomain, arrow diagrams. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/cbse-xi-maths-ch2-relations-domain-range-codomain/

  10. What Are Inverse Trigonometric Functions? A Complete Guide for Class 12 CBSE

    Learn what inverse trigonometric functions are, why they exist, and how domain restrictions make them possible. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/what-are-inverse-trigonometric-functions-a-complete-guide-for-class-12-cbse/

  11. Composition of Functions in Class 12 Maths – gof, fog, and Key Properties

    Learn composition of functions from NCERT Class 12 Maths Chapter 1. Understand gof and fog, explore their properties. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/composition-of-functions-in-class-12-maths-gof-fog-and-key-properties/

  12. Ordered Pairs and Cartesian Product of Sets Explained | Class 11 Maths

    Learn ordered pairs and the Cartesian product of sets with simple examples, formulas, and solved problems from CBSE Class 11 Maths Chapter 2. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/cbse-xi-maths-ch2-ordered-pairs-cartesian-product/

  13. Differential Equations Class 12: Order, Degree and Basic Concepts Explained

    Learn differential equations Class 12 basics — what they are, how to find order and degree, and solved examples. Clear explanations for CBSE Commerce students. 📖 Read the full study guide & practice questions:...

  14. Hyperbola: Standard Equations, Eccentricity and Latus Rectum

    Learn the hyperbola in CBSE Class 11 Maths — standard equations, transverse and conjugate axes, eccentricity, and latus rectum, with fully worked examples. 📖 Read the full study guide & practice questions:...

  15. Common Mistakes to Avoid in Application of Integrals (CBSE Class 12 Exam Tips)

    Work through the most common Application of Integrals mistakes — sign errors, wrong limits, skipped sketches — with fixes, for Class 12. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/application-of-integrals-common-mistakes-exam-tips/

  16. Ellipse: Standard Equations, Eccentricity and Latus Rectum

    Understand the ellipse in CBSE Class 11 Maths — standard equations, foci, major/minor axes, eccentricity, and latus rectum, with worked examples for exam prep. 📖 Read the full study guide & practice questions:...

  17. Top Solved Examples & Important Questions: Application of Integrals Class 12

    Work through the most important solved examples and exam-style questions from Application of Integrals Class 12 — curves, circles and trigonometric areas. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/application-of-integrals-important-questions-class-12/

  18. Parabola: Standard Equations, Focus, Directrix and Latus Rectum

    Learn the four standard equations of a parabola, how to find the focus, directrix, axis, and latus rectum, with fully worked CBSE Class 11 Maths examples. 📖 Read the full study guide & practice questions:...

  19. Area Between Two Curves: Class 12 Integration Methods Explained

    Learn how to find the area between two curves in Class 12 Maths using integration, with a step-by-step method and solved examples for CBSE board exams. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/area-between-two-curves-class-12/

  20. Circle: Definition, Equation, Centre and Radius Explained

    Master the standard equation of a circle and learn to find its centre and radius from the general equation — CBSE Class 11 Maths. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/circle-definition-equation-centre-radius-class-11/

  21. Area of an Ellipse Using Integration: Formula, Derivation & Solved Examples

    Learn how to derive the area of an ellipse formula πab using definite integration, with step-by-step CBSE Class 12 solved examples and common mistakes. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/area-of-ellipse-using-integration-class-12/

  22. Sections of a Cone: Circle, Ellipse, Parabola & Hyperbola Explained

    Learn how slicing a double-napped cone at different angles gives circles, ellipses, parabolas and hyperbolas, plus the degenerate cases. Class 11 Maths. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/sections-of-a-cone-conic-sections-class-11/

  23. Area of a Circle Using Integration: Step-by-Step Derivation (πr²)

    Derive the area of a circle formula πr² using definite integration. Step-by-step Class 12 solution with vertical and horizontal strip methods. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/area-of-circle-using-integration-class-12/

  24. Exponential Growth Models: How Mathematics Predicts Population Growth (Class 11 Maths)

    Learn how the NCERT population growth model uses birth and death rates and exponential functions to predict population, plus the full modelling cycle. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/exponential-growth-population-modelling-class-11/

  25. How to Find Area Under a Simple Curve Using Integration – Class 12 Maths

    Step-by-step tutorial on calculating the area under simple curves using definite integrals for CBSE Class 12 Mathematics, with diagrams and solved problems. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/area-under-simple-curve-integration-class-12/

  26. Linear Programming as a Mathematical Model: The Farm Food-Mix Problem (Class 11 Maths)

    Explore linear programming as a real-world mathematical model through the classic Farm Food-Mix problem for CBSE Class 11 Mathematics with graph steps. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/linear-programming-mathematical-model-class-11/

  27. Application of Integrals Class 12: Complete Guide to Area Under Curves

    Complete CBSE Class 12 guide to Application of Integrals. Learn methods to compute area bounded by curves, lines, parabolas, and ellipses with examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/application-of-integrals-class-12-complete-guide/

  28. The Four Steps of Mathematical Modelling Explained with the Simple Pendulum (Class 11 Maths)

    Learn the four essential steps of mathematical modelling through the simple pendulum problem for CBSE Class 11 Mathematics with clear derivations. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/four-steps-of-mathematical-modelling-class-11/

  29. Bijective and Invertible Functions – Class 12 Maths Chapter 1 Complete Guide

    Master bijective and invertible functions for Class 12 Maths. Learn the one-one and onto conditions, finding inverse functions, and solved NCERT examples. 📖 Read the full study guide & practice questions:...

  30. What Is Mathematical Modelling? Meaning, Need & Real-Life Examples (Class 11 Maths)

    Every time an engineer predicts how a bridge will bear load, or a bank calculates how much a fixed deposit will grow, someone has translated a real-world situation into an equation. 📖 Read the full study guide & practice questions:...

  31. One-One and Onto Functions – Types of Functions in Class 12 Maths Explained

    Once you have understood what a function is, the next question naturally is: what kind of function is it? Class 12 Maths Chapter 1 introduces three critical types — one-one (injective), onto (surjective), and bijective — that describe how a function maps its domain to its co-domain. 📖 Read the...

  32. Logarithmic Series: loge(1+x) Expansion, Formula & Solved Examples (Class 11 Maths)

    Appendix 1 of the NCERT Class 11 Maths textbook closes with the logarithmic series, a companion result to the exponential series covered in the previous section. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/logarithmic-series-loge-expansion/

  33. Equivalence Relations and Equivalence Classes – Class 12 Maths Explained

    Among all the concepts in Class 12 Maths Chapter 1, the equivalence relation is the most elegant — and one of the most frequently tested. It combines three properties into a single, powerful idea that appears in number theory, geometry, and computer science. 📖 Read the full study guide &…

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  34. Exponential Series & Euler's Number e: Formula, Derivation & Examples (Class 11 Maths)

    Every student encounters π early in geometry, tied to circles. Section A.1.4 introduces its calculus counterpart: the number e, first defined by Leonhard Euler in his 1748 calculus text. 📖 Read the full study guide & practice questions:...

  35. Types of Relations in Class 12 Maths – Reflexive, Symmetric, Transitive & More

    One of the highest-yield topics in Class 12 Mathematics Chapter 1 is the classification of relations. Every CBSE board paper and most competitive entrance exams like CUET, IPMAT, and NPAT include at least one question asking you to identify whether a given relation is reflexive, symmetric,...

  36. Complement of a Set and De Morgan's Laws: Class 11 Maths Guide

    The final operation in the Class 11 Sets chapter asks a different question: instead of combining two sets, what is left over in the universal set once one set is removed? 📖 Read the full study guide & practice questions:...

  37. Properties of Definite Integrals: Class 12 Maths with Examples

    Some definite integrals look intimidating at first glance — expressions with x sin x over 1 + cos²x, or log(sin x) with no obvious anti-derivative in sight. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/properties-of-definite-integrals-class-12/

  38. Intersection and Difference of Sets: Class 11 Maths Concepts with Examples

    After union, Class 11 Maths introduces two more set operations that are just as important: intersection, which finds what two sets share, and difference, which finds what belongs to one set but not the other. 📖 Read the full study guide & practice questions:...

  39. Definite Integrals & Fundamental Theorem of Calculus (Class 12 Maths)

    So far, indefinite integrals have given us a family of functions, differing by a constant C. Definite integrals take this a step further: instead of a general answer, they produce a single, precise numerical value — typically representing the area under a curve between two specific points. 📖…

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  40. Venn Diagrams and Union of Sets: Class 11 Maths Explained Step by Step

    Learn how Venn diagrams represent sets and how to find the union of two sets in Class 11 Maths, with definitions, properties, and solved examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/venn-diagrams-and-union-of-sets-class-11-maths/

  41. Integration by Parts: ILATE Rule, Formula & Solved Examples (Class 12)

    Learn integration by parts for Class 12 Maths with the ILATE rule, the e^x[f(x)+f'(x)] shortcut, and solved examples for board exam preparation. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/integration-by-parts-ilate-rule-class-12/

  42. Infinite Geometric Series: Sum to Infinity Formula & Solved Examples (Class 11 Maths)

    Master the sum to infinity formula for infinite geometric series. Learn Class 11 Maths concepts with solved NCERT examples for CBSE boards and CUET. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/infinite-geometric-series-sum-to-infinity/

  43. Integration by Partial Fractions: Class 12 Maths Step-by-Step Guide

    Learn integration by partial fractions for Class 12 Maths with all five standard cases, worked examples, and tips to avoid common calculation errors. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/integration-by-partial-fractions-class-12/

  44. Equal Sets and Subsets in Class 11 Maths: Definitions, Rules & Examples

    Once you know how to write a set, the next question Class 11 Maths asks is: how do two sets relate to each other? 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/equal-sets-and-subsets-class-11-maths/

  45. The Konigsberg Bridge Problem: How Euler Invented Graph Theory (Class 11 Maths)

    Learn about the Konigsberg Bridge Problem and how Euler invented Graph Theory. Perfect for CBSE Class 11 Applied Maths & CUET prep. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/konigsberg-bridge-problem-graph-theory-class-11/

  46. What Are Relations and Functions? – Class 12 Maths Chapter 1 Explained

    Master Relations and Functions Class 12 concepts. Learn the key differences, types, and exam questions for CBSE board and CUET prep. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/what-are-relations-and-functions-class-12-maths-chapter-1-explained/

  47. Standard Integral Forms: x²±a² Formulas for Class 12 Maths

    Master the six standard integral forms involving x²-a², x²+a², and √(a²-x²) for Class 12 Maths, with completing-the-square examples and solved problems. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/standard-integral-forms-class-12/

  48. Integration Using Trigonometric Identities: Class 12 Maths Guide

    Learn how to solve integrals using trigonometric identities in Class 12 Maths. Covers power-reduction formulas, product-to-sum rules & solved examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/integration-trigonometric-identities-class-12/

  49. Integration by Substitution Method: Class 12 Maths Guide

    Master the integration by substitution method for Class 12 Maths with step-by-step rules, trigonometric integral results, and solved examples. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/integration-by-substitution-class-12/

  50. Indefinite Integrals Class 12: Formulas, Rules & Solved Examples

    Learn indefinite integrals for Class 12 Maths with standard formulas, properties, and solved examples. Perfect for CBSE boards and CUET prep. 📖 Read the full study guide & practice questions: https://www.championsprep.in/blog/indefinite-integrals-class-12-formulas-examples/

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ABOUT THIS SHOW

Master CBSE Class 11 and Class 12 Commerce Mathematics and Applied Maths. Step-by-step conceptual walkthroughs covering Sets, Relations, Functions, Matrices, Calculus, and Linear Programming. Visit https://app.championsprep.in for practice problem sets.

HOSTED BY

ChampionsPrep Editorial Team

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Frequently Asked Questions

How many episodes does ChampionsPrep Mathematics have?

ChampionsPrep Mathematics currently has 52 episodes available on PodParley. New episodes are automatically indexed when they're published to the podcast feed.

What is ChampionsPrep Mathematics about?

Master CBSE Class 11 and Class 12 Commerce Mathematics and Applied Maths. Step-by-step conceptual walkthroughs covering Sets, Relations, Functions, Matrices, Calculus, and Linear Programming. Visit https://app.championsprep.in for practice problem sets.

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ChampionsPrep Mathematics has 52 episodes. Check the episode list to see recent publication dates and frequency.

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