MATH2001 Summary Notes & Study Guide

Description

Hey there! I know just how tough MATH2001 Calculus & Linear Algebra II can be—it felt like tackling four courses at once. The exam was a beast, and the sheer amount of content was overwhelming. That’s why I created these study notes to help make sense of it all. Main Topics Covered: • Ordinary Differential Equations • Hyperbolic Functions • Vector Spaces • Real Inner Product Spaces • Solving Linear Equations • Orthogonality • Least Squares Approximation • Determinants, Invertibility, and Eigenspaces • Diagonalisability & Orthogonal Diagonalisability • Quadratic Forms • Complex Matrices • Taylor Series Approximations • Critical Points • Multivariable Integral Calculus • Centre of Mass and Inertia I’ve used creative methods like recipes, diagrams, and colour-coding to make these notes engaging and easier to follow. I also included mnemonics, jokes, and Easter eggs to help you remember key concepts and keep the studying process fun. Why Use My Notes? • Comprehensive and Detailed: All major topics are covered extensively. • Creative Learning Aids: Recipes, diagrams, and colour-coding to simplify complex concepts. • Memory Boosters: Mnemonics, jokes, and Easter eggs to make learning enjoyable and memorable. • Exam-Focused: Tailored to help you tackle those difficult exams. • Efficient Study: Organised in a way that saves you time and helps you retain information better. If you’re struggling with MATH2001, my notes might be just what you need. They helped me get through one of the toughest courses, and I hope they can help you too!