Maths 1B Hub

Welcome to the resource hub for the Maths 1B course at the University of Cambridge! Below, you'll find curated materials, including lecture notes, problem sets, and video tutorials, organised by topic.

Vector Calculus

Problem Sets with Solutions:
- MIT OpenCourseWare: Vector Calculus Problem Sets
Multivariate Integration:
- YouTube Course Playlist
Multivariate Calculus:
- YouTube Course Playlist
Tensor Notation:
- Basics: Tensor Notation Notes
- Examples and Notes: Tensor Notation - DAMTP Notes
Recommended Reading: Anton’s Calculus

Green's Functions

Notes: Introduction to Green’s Functions (LibreTexts)
Video Explanations:
- Green’s Functions Explained (Video 1)
- Green’s Functions Explained (Video 2)
Example Problem:
- Green’s Functions Example Problem (YouTube)

Linear Algebra

Problems and Solutions: Matrix Problems PDF
Linear Algebra YouTube Series: Linear Algebra Playlist
Quantum and Linear Algebra Notes: Quantum and Linear Algebra PDF

Complex Analysis

Notes: Complex Analysis Notes (PDF)
Problems and Solutions: Complex Analysis Problems (PDF)
YouTube Course: Complex Analysis Video Course

Maths 1B Problem Sets

Give these problems a try if you want to test your understanding!

Bessel Function Problem