What this collection covers
This page is the permanent home for First Year Mathematics. As material is added, students will be able to study online, download print-ready notes and attempt a separate assessment without leaving this learning path.
Core subjects and topics
01Complex numbers
02Functions and graphs
03Matrices
04Sequences
05Trigonometry
Available resource formats
✓Detailed notesFiled inside this collection
✓Exercise solutionsFiled inside this collection
✓Common mistakesFiled inside this collection
✓MCQ testsFiled inside this collection
PECTAA
14 UnitsCurrent 1st Year unit structure
Unit 1Complex Numbers
Unit 2Functions and Graphs
Unit 3Theory of Quadratic Functions
Unit 4Matrices and Determinants
Unit 5Partial Fractions
Unit 6Sequences and Series
Unit 7Permutation and Combination
Unit 8Mathematical Induction and Binomial Theorem
Unit 9Division of Polynomials
Unit 10Trigonometric Identities
Unit 11Trigonometric Functions and Their Graphs
Unit 12Limit and Continuity
Unit 13Differentiation
Unit 14Vectors in Space
Current textbook structure verified 18 August 2026. Smart/reduced exam guidance does not replace the full curriculum.
Owner canonical resources
11 availableVerified notes and solution files
Unit 1Available
Complex Numbers
Unit-wise Solved Notes
Unit 2Available
Functions and Graphs
Unit-wise Solved Notes
Unit 3Available
Theory of Quadratic Functions
Unit-wise Solved Notes
Unit 4Available
Matrices and Determinants
Unit-wise Solved Notes
Unit 5Available
Partial Fractions
Unit-wise Solved Notes
Unit 6Available
Sequences and Series
Unit-wise Solved Notes
Unit 7Available
Permutation and Combination
Unit-wise Solved Notes
Unit 8Available
Mathematical Induction and Binomial Theorem
Unit-wise Solved Notes
Unit 9Available
Division of Polynomials
Unit-wise Solved Notes
Unit 10Available
Trigonometric Identities
Unit-wise Solved Notes
Unit 11Available
Trigonometric Functions and Their Graphs
Unit-wise Solved Notes
Unit 12Coming Soon
Limit and Continuity
Unit-wise Solved Notes
File not yet suppliedUnit 13Coming Soon
Differentiation
Unit-wise Solved Notes
File not yet suppliedUnit 14Coming Soon
Vectors in Space
Unit-wise Solved Notes
File not yet supplied