2nd Year Mathematics Notes

Every chapter of the mathematics syllabus for 2nd Year under the Punjab Board, in the order the book takes them. 8 chapters have a finished lesson — notes, worked examples, a graph you can move, flashcards and a quiz. The rest are mapped and being written.

Also called 12th Class, FSc Part 2, ICS Part 2, HSSC Part 2.

01

Functions and Limits

▸Functions & LimitsWhat a function approaches, whether or not it arrives · 18 min · 6 questions→

02

Differentiation

▸CalculusRates of change, and areas under curves · 22 min · 6 questions→

03

Integration

▸IntegrationAdding up infinitely many infinitely thin slices · 22 min · 6 questions→

04

Introduction to Analytic Geometry

▸Introduction to Analytic GeometryLines as equations, and the standard distances worth memorising · 20 min · 8 questions→

05

Linear Inequalities and Linear Programming

▸Linear Inequalities and Linear ProgrammingShading what is possible, then finding the best corner of it · 20 min · 8 questions→

06

Conic Sections

▸Conic SectionsFour curves, one cone, and the number that tells them apart · 22 min · 8 questions→

07

Vectors

▸Vectors in a PlaneQuantities that carry a direction, and the algebra that handles them · 20 min · 8 questions→▸Vectors in SpaceThree dimensions, and the two ways of multiplying vectors · 22 min · 8 questions→