ISC (Class 11–12)

ISCAPPLIED — ISC Class 11 & 12 Applied Mathematics

ISC Class 11 & 12 Applied Mathematics

CISCE ISC Applied Mathematics for Class 11 and 12 covering quantification, algebra, calculus, probability, statistics, time series, financial mathematics, and linear programming as per the Council for the Indian School Certificate Examinations syllabus.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Apply numerical quantification, modular arithmetic, and matrix-determinant techniques to solve business problems involving allocation, mixtures, and break-even analysis [Apply]
  2. Apply differentiation and integration to marginal cost, marginal revenue, consumer/producer surplus, and other commerce and economics applications [Apply]
  3. Construct and interpret index numbers (Laspeyres, Paasche, Fisher) and analyze time series using moving averages and trend fitting for business forecasting [Analyze]
  4. Evaluate descriptive and inferential statistics, including sampling distributions, confidence intervals, and hypothesis tests (t and chi-square), to support data-driven decisions [Evaluate]
  5. Apply financial mathematics to compute EMIs, annuities, perpetuities, sinking funds, depreciation, and effective rates of return on investments [Apply]
  6. Formulate and solve linear programming problems graphically and via the simplex approach to optimize business objectives subject to resource constraints [Create]

📚 Chapters

  1. Numbers, Quantification and Numerical Applications
  2. Algebra — Matrices and Determinants
  3. Calculus — Differentiation and Integration
  4. Probability
  5. Descriptive Statistics
  6. Index Numbers and Time Series
  7. Inferential Statistics
  8. Financial Mathematics
  9. Linear Programming
  10. Numerical Applications in Business and Economics

TutorDA LMS

ISC12 — ISC Class 12 Mathematics

ISC Class 12 Mathematics

CISCE ISC Class 12 Mathematics covering relations and functions, algebra, calculus, vectors, three-dimensional geometry, linear programming, probability, and applications of mathematics as per the Council for the Indian School Certificate Examinations syllabus.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze relations and functions for injectivity, surjectivity, and invertibility, and evaluate inverse trigonometric expressions and identities [Analyze]
  2. Apply matrix algebra, determinants, and the adjoint method to solve systems of linear equations and verify consistency [Apply]
  3. Evaluate continuity, differentiability, and derivatives to investigate monotonicity, maxima, minima, tangents, and rates of change in applied contexts [Evaluate]
  4. Compute indefinite and definite integrals using substitution, partial fractions, and integration by parts, and apply them to areas under curves and differential equations [Apply]
  5. Analyze vector and three-dimensional geometry problems involving lines, planes, and angles using dot and cross products [Analyze]
  6. Formulate and solve linear programming problems and Bayesian probability questions, and apply calculus to marginal cost, revenue, and elasticity in commerce and economics [Create]

📚 Chapters

  1. Relations and Functions
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity and Differentiability
  6. Applications of Derivatives
  7. Integrals — Indefinite and Definite
  8. Applications of Integrals
  9. Differential Equations
  10. Vectors
  11. Three-Dimensional Geometry
  12. Linear Programming
  13. Probability
  14. Application of Calculus in Commerce and Economics

TutorDA LMS

ISC11 — ISC Class 11 Mathematics

ISC Class 11 Mathematics

CISCE ISC Class 11 Mathematics covering sets, functions, trigonometry, algebra, calculus foundations, coordinate geometry, statistics, probability, and mathematical reasoning as per the Council for the Indian School Certificate Examinations syllabus.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Apply set theory, relations, and functions to model mathematical relationships and validate statements using the principle of mathematical induction and logical reasoning [Apply]
  2. Solve trigonometric equations, complex-number problems, quadratic equations, and linear inequalities using algebraic and geometric methods [Apply]
  3. Apply permutations, combinations, the binomial theorem, and arithmetic/geometric/harmonic sequences and series to counting and summation problems [Apply]
  4. Analyze straight lines, conic sections, and three-dimensional coordinate geometry to derive equations and properties of loci [Analyze]
  5. Evaluate limits and compute derivatives of polynomial, trigonometric, and rational functions from first principles and standard rules [Evaluate]
  6. Interpret statistical dispersion, correlation, and probability distributions to draw quantitative conclusions from data [Evaluate]

📚 Chapters

  1. Sets
  2. Relations and Functions
  3. Trigonometric Functions
  4. Principle of Mathematical Induction
  5. Complex Numbers and Quadratic Equations
  6. Linear Inequalities
  7. Permutations and Combinations
  8. Binomial Theorem
  9. Sequences and Series
  10. Straight Lines
  11. Conic Sections
  12. Introduction to Three-Dimensional Geometry
  13. Limits and Derivatives
  14. Mathematical Reasoning
  15. Statistics
  16. Probability
  17. Correlation Analysis

TutorDA LMS