| Applied Mathematics for Class 11th & 12th (Concepts and Questions) | ||
|---|---|---|
| 11th | Concepts | Questions |
| 12th | Concepts | Questions |
Class 11th Applied Mathematics Concepts
Chapter 1 Numbers and Quantification
This foundational chapter introduces various types of numbers (prime, complex, binary) and explores quantification methods like averages, percentages, and ratios. It covers their applications in interpreting data and solving practical numerical problems relevant to commerce and social sciences.
Chapter 2 Numbers Applications
Building on the basics, this chapter delves into practical applications of numbers, including logarithms, indices, numerical problem-solving (like time & work, speed & distance), and concepts like modulo arithmetic crucial for various computational and scheduling applications.
Chapter 3 Sets
This chapter introduces the fundamental concept of sets as well-defined collections. It covers types of sets, methods of representation (roster, set-builder), operations (union, intersection, complement), and the use of Venn diagrams for visualizing relationships and problem-solving.
Chapter 4 Relations
Building upon sets, this chapter explores relations as connections or links between elements of two sets, defined via the Cartesian product. Key concepts include domain, codomain, range, and understanding different types of relations, laying the groundwork for functions.
Chapter 5 Sequences and Series
This chapter delves into sequences (ordered lists of numbers) and series (their sums). It focuses on understanding Arithmetic Progressions (AP) and Geometric Progressions (GP), including finding the nth term and the sum of terms, crucial for modeling growth and financial calculations.
Chapter 6 Permutations and Combinations
This chapter introduces fundamental principles of counting. It explores permutations (arrangements where order matters) and combinations (selections where order doesn't matter), providing tools to calculate the number of ways tasks can be performed or items selected.
Chapter 7 Mathematical Reasoning
This chapter focuses on the principles of logical thinking and reasoning used in mathematics. It covers identifying valid mathematical statements, understanding logical connectives (AND, OR, NOT, implies), quantifiers, and methods for validating arguments and proofs.
Chapter 8 Calculus
This chapter provides an introduction to the fundamental concepts of calculus. It covers the intuitive idea of limits, the definition of derivatives as instantaneous rates of change, basic rules of differentiation, and an elementary understanding of integration as the reverse process.
Chapter 9 Probability
Explore the mathematical study of chance and uncertainty. This chapter covers fundamental concepts like random experiments, sample spaces, events, different approaches to probability, conditional probability, and introductory theorems like Bayes' theorem (or its basis).
Chapter 10 Descriptive Statistics
This chapter deals with methods for summarizing and describing key features of data. Topics include collecting and organizing data, measures of central tendency (mean, median, mode), and measures of dispersion (variance, standard deviation) to understand data spread.
Chapter 11 Financial Mathematics
Explore mathematical concepts crucial for understanding financial transactions. This chapter covers topics like interest calculation (simple and compound), annuities, present and future value of money, depreciation, sinking funds, and basic financial statement analysis.
Chapter 12 Coordinate Geometry
This chapter introduces the study of geometry using the coordinate system. It primarily focuses on understanding straight lines, including concepts like slope, angle between lines, various forms of linear equations, and potentially distance-related formulas in a 2D plane.