Start with foundations
Choose Calculus I for functions, limits, continuity, derivatives, basic integration and their first applications.
The Math Hub University Mathematics
Complete Calculus I–III Learning Sequence
The Math Hub Calculus collection is a complete three-part university mathematics learning sequence covering single-variable calculus, advanced integration and infinite series, and multivariable/vector calculus. Each volume includes structured theory, formulas, worked examples, practice exercises and downloadable study material prepared for university-level learners.
Choose your course
Calculus I → Calculus II → Calculus III
For BS Mathematics, AD / ADP Mathematics, BSc Mathematics, Physics, engineering, computing and other quantitative programmes where applicable.
Volume ICalculus I
Functions, Limits, Derivatives & Integration
Functions and Graphs, Limits and Continuity, Derivatives, Applications of Derivatives, Integrals and the Fundamental Theorem, Applications of Definite Integrals.
Prepared by Rana Ali Hasan & Mehreen KanwalExplore Calculus I →
Volume IICalculus II
Advanced Integration, Infinite Series, Taylor Series & Polar Calculus
Applications of Definite Integrals, Transcendental Functions, Integration Techniques I, Integration Techniques II, Sequences and Infinite Series, Tests for Convergence, Power Series, Taylor, Maclaurin and Binomial Series, Parametric Equations and Calculus, Polar Coordinates and Conic Sections.
Prepared by Rana Ali Hasan & Mehreen KanwalExplore Calculus II →
Volume IIICalculus III
Multivariable Calculus & Vector Calculus
Vectors and Three-Dimensional Geometry, Vector-Valued Functions and Motion, Functions of Several Variables, Limits and Continuity, Partial Derivatives and Differentiability, Gradient, Directional Derivatives and Optimization, Double Integrals, Triple Integrals and Change of Variables, Vector Fields and Line Integrals, Green’s Theorem, Divergence and Curl, Surface Integrals, Stokes and Divergence Theorems.
Prepared by Rana Ali Hasan & Mehreen KanwalExplore Calculus III →Which course do I need?01 02 03
Extend integration and series
Choose Calculus II after Calculus I for advanced integration, convergence, Taylor series, parametric curves and polar calculus.
Move into several variables
Choose Calculus III after Calculus I–II for partial derivatives, multiple integrals, vector fields and the major integral theorems.
One canonical collection, many discovery paths
Use the central hub from your degree page, the Mathematics Notes catalogue or the general Calculus Library. University course codes and semester placement vary, so compare each volume with your current scheme of studies.