MAU23203 - Analysis in Several Real Variables Lectures and Assessment, Michaelmas Term 2020 Dr. David R. Wilkins

Lecture Material for Michaelmas Term 2020

Lecture videos are made available to registered students in Blackboard.

Course notes for MAU23203 in Michaelmas Term 2020:—

• Section 1: The Real Number System
• Section 2: Schwarz's Inequality and some Related Inequalities
• Section 3: Convergence in Euclidean Spaces
• Section 4: Open and Closed Sets in Euclidean Spaces
• Section 5: Limits and Continuity for Functions of Several Variables
• Section 6: Continuous Functions on Closed Bounded Sets
• Section 7: Fundamental Principles of Single Variable Calculus
• Section 8: Differentiation of Functions of Several Real Variables
• Section 9: The Inverse and Implicit Function Theorems
• Section 10: Second Order Derivatives and the Hessian Matrix

Disquisitions for MAU23203 in Michaelmas Term 2020:—

• Disquisition I: On Open Balls and Open Sets
• Disquisition II: Open and Closed Set Examples
• Disquisition III: Examples relating to Limits and Continuity

Assignments:—

• MAU23203, Michaelmas Term 2020, Assignment 1 (due Tuesday, November 3, 2020)
• MAU23203, Michaelmas Term 2020, Solutions to Assignment 1
• MAU23203, Michaelmas Term 2020, Assignment 2 (due Friday, December 11, 2020)
• MAU23203, Michaelmas Term 2020, Solutions to Assignment 2

Back to D.R. Wilkins: Lecture Notes

Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.