SCHOOL-T0-UNIVERSITY MATHEMATICS
SCHOOL-T0-UNIVERSITY MATHEMATICS
Here each module includes: Concise and clear exposition of core topics with solved examples, Summary sheet of essential definitions and formulae for quick reference, Practice question sheet to reinforce conceptual understanding and AI + Python assisted lab examples demonstrating computational problem-solving. Students may choose to study the modules as per their course contents/requirements.
Milestone 1 (Sets-to-Curves)
Module 1 : Sets (School): e-Notes
Module 2: Function Basics (School): e-Notes
Module 3: Algebraic Functions (School): e-Notes
Module 4: Exponential and Logarithmic Functions (School): e-Notes
Module 5: Trigonometric Functions (School): e-Notes
Module 6: Hyperbolic Functions (School): e-Notes
Module 7: Piecewise Functions (School): e-Notes
Module 8: Curves in Cartesian Coordinates (School): e-Notes
Module 9: Curves in Polar Coordinates (University): e-Notes
Module 10: Curves in Parametric Form (School/University): e-Notes
YouTube Videos: M9
Milestone 2 (Matrices-to-Surfaces)
Milestone 3 (Limits-to-Continuity)
Milestone 4 (Differentiation)
Module 1 : Foundations of Differentiation (School): e-Notes
Module 2: Basic Rules of Differentiation (School): e-Notes
Module 3: Applications of Derivatives (School): e-Notes
Module 4: Partial Differentiation (University): e-Notes
Module 5: Differentiability in Two Variables (University): e-Notes
Module 6: Optimization in Two Variables (University): e-Notes
Module 7: Differentiability in Three Variables (University): e-Notes
Module 8: Constrained Optimization (University): e-Notes
YouTube Videos: Link
Milestone 5 (Integration)
Module 1 : Single Integration (School): e-Notes
Module 2: Antidifferentiation (School): e-Notes
Module 3: Applications of Single Integration (School/University): e-Notes
Module 4: Numerical Integration (University): e-Notes
Module 5: Line Integrals (University): e-Notes
Module 6: Double Integration (University): e-Notes
Module 7: Surface Integrals (University): e-Notes
Module 8: Triple Integration (University): e-Notes
YouTube Videos: Link
Milestone 6 (Vector Functions)
Milestone 7 (Sequences and Series)
Milestone 8 (Probability and Statistics)
Module 1 : Descriptive Statistics (School): e-Notes
Module 2: Permutations and Combinations (School): e-Notes
Module 3: Probability (School): e-Notes
Module 4: Discrete Random Variable (School/University): e-Notes
Module 5: Discrete Probability Distributions (School/University): e-Notes
Module 6: Discrete Bivariate Probability Distributions (University): e-Notes
Module 7: Continuous Random Variable (University): e-Notes
Module 8: Continuous Probability Distributions (University): e-Notes
Module 9: Continuous Bivariate Probability Distributions (University): e-Notes
Module 10: Sampling Distributions (University): e-Notes
Module 11: Point Estimation (University): e-Notes
Module 12: Confidence Intervals (University): e-Notes
Module 13: Hypothesis Testing (University): e-Notes
Milestone 9 (Linear Algebra)
Module 1: Matrices and Determinants (School): e-Notes
Module 2: Vectors and Three Dimensional Geometry (School): e-Notes
Module 3: Vector Spaces (University): e-Notes
Module 4: Basis and Dimension (University): e-Notes
Module 5: Eigenvalues and Eigenvectors (University): e-Notes
Module 6: Linear Transformations (University): e-Notes