Class 12
Chapter-by-chapter lessons for Andhra Pradesh Intermediate second-year mathematics, following the NCERT Class 12 mathematics textbook.
Chapter-by-chapter lessons for AP Intermediate second-year mathematics, following the NCERT Class 12 textbook.
There are 13 courses, one for each chapter, holding 27 lessons. Every lesson explains the ideas in order, works through examples, and ends with practice questions and full answers. The examples and questions use our own numbers rather than the textbook's.
This is for students in the second year of Intermediate (MPC or MEC) under the Board of Intermediate Education, Andhra Pradesh, following the NCERT Class 12 mathematics textbook. It also suits any Class 12 student using that textbook.
2 lessons + solutions
Relations and functions for AP Intermediate 2nd year: equivalence relations and classes, one-one and onto functions, composition and inverse functions.
2 lessons + solutions
Inverse trigonometric functions for AP Intermediate 2nd year: principal branches, principal values, graphs and the main identities.
2 lessons + solutions
Matrices for AP Intermediate 2nd year: types of matrices, matrix operations, transpose, symmetric and skew-symmetric matrices, and inverses by row operations.
2 lessons + solutions
Determinants for AP Intermediate 2nd year: evaluation, area of a triangle, minors and cofactors, adjoint and inverse, and solving linear systems.
3 lessons + solutions
Continuity and differentiability for AP Intermediate 2nd year: continuity, differentiability, chain rule, implicit, logarithmic and parametric differentiation.
2 lessons + solutions
Applications of derivatives for AP Intermediate 2nd year: rates of change, increasing and decreasing functions, maxima and minima, and optimisation.
3 lessons + solutions
Integrals for AP Intermediate 2nd year: indefinite integrals, substitution, partial fractions, integration by parts and definite integrals with their properties.
1 lesson + solutions
Applications of integrals for AP Intermediate 2nd year: area under a curve, areas of standard regions and area between two curves.
2 lessons + solutions
Differential equations for AP Intermediate 2nd year: order and degree, forming equations, variables separable, homogeneous and linear equations.
2 lessons + solutions
Vector algebra for AP Intermediate 2nd year: vectors and components, section formula, scalar and vector products, projections and areas.
2 lessons + solutions
Three-dimensional geometry for AP Intermediate 2nd year: direction cosines and ratios, equations of lines, angle between lines and shortest distance.
1 lesson + solutions
Linear programming for AP Intermediate 2nd year: formulating problems, feasible regions and solving by the corner-point method.
3 lessons + solutions
Probability for AP Intermediate 2nd year: conditional probability, multiplication rule, independent events, total probability and Bayes' theorem.
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