Semester 1, session 2019/20

(old) Course materials for SIM1001 - Basic Mathematics for Semester 1, session 2019/20

Lecture notes

Part 1 of the course - Latest notes which contains Chapter 1: Logic, Chapter 2: Mathematical Induction, Chapter 3: Binomial Theorem, Chapter 4: Set Theory and Functions, Chapter 5: Complex numbers, Chapter 6: Polynomials

Supplementary notes on techniques for proof writing. The notes are extracted from the archive at Mathematics at Dartmouth.

Part 2 of the course: Notes on Part 2 of the course, Linear Algebra

Tutorial classes schedule Please choose one slot

Tutorial questions

Part 1 - Algebra

Tutorial 1: questions on Logic and solutions
Tutorial 2: questions on Logic and solutions
Tutorial 3: question on Logic, Mathematical Induction and Binomial Theorem and solutions
Tutorial 4: question on sets and relations and solutions
Tutorial 5: questions on relations and functions and solutions
Tutorial 6: questions on complex numbers and solutions
Tutorial 7: questions on complex numbers and solutions
Tutorial 8: questions on polynomials and solutions


Part 2 - Linear Algebra

Tutorial 1: questions on matrices and system of linear equations and solutions
Tutorial 2: questions on symmetric and skew-symmetric matrices and selected solutions
Tutorial 3: questions on invertibility and product of matrices and solutions to selected problems and solution to question 9a
Tutorial 4: questions on determinant and solutions to selected problems
Tutorial 5: questions on adjoint and solutions to selected problems
Tutorial 6: questions on linear independence of vectors and solutions to selected questions
Tutorial 7: questions on eigenvalues and eigenvectors