My first academic job was as a lecturer in economics at Royal Holloway, University of London, where I was responsible for the second-year mathematical methods and econometrics course EC2203 Quantitative Methods in Economics II. I have lost all the original manuscripts of the lecture notes but still have scanned copies of most of the printouts (only Lecture 18 Estimation of structural equations is lost forever, unfortunately!) I am posting them here in the order in which I delivered them.
EC2203 Lecture 1 Sets and functions
EC2203 Lecture 3 Introduction to matrix algebra
EC2203 Lecture 4 Matrix inversion and Cramer’s rule
EC2203 Preparation for Lecture 5 Review of differentiation
EC2203 Lecture 5 Partial differentiation
EC2203 Lecture 5 Appendix A note on Jacobian determinants
EC2203 Lecture 6 Total differentiation
EC2203 Lecture 7 Implicit functions
EC2203 Lecture 8 Unconstrained optimisation
EC2203 Lecture 8 Appendix Quadratic forms
EC2203 Lecture 9 Constrained optimisation
EC2203 Lecture 10 Essential statistical concepts
EC2203 Lecture 11 Introduction to econometric models
EC2203 Lecture 12 Identification
EC2203 Lecture 13 Introduction to dynamic models
EC2203 Lecture 13 Appendix Some formal definitions
EC2203 Lecture 14 The bivariate regression model
EC2203 Lecture 14 Appendix Algebraic results for OLS estimation
EC2203 Lecture 15 Multiple regression analysis
EC2203 Lecture 16 Autocorrelation
EC2203 Lecture 17 Heteroskedasticity
EC2203 Lecture 18 Estimation of structural equations (Lost)
Dr Christian P. H. Salas 