**IMPORTANT NOTICE: **

Course No.: ECEM-212

Instructor: Shahid M Shah

Credits: 3

Location: Seminar Hall, ECE Dept.

(Monday: 1:15-2PM, Wednesday 4 to 5 PM)

Syllabus: Definition and objectives of Research-- Types of research, Various steps in Research process, Mathematical tools for analysis, Literature review, Surveying, synthesizing, Critical analysis, etc.

Introduction to Probability theory: Probability space, random variable, probability mass function for discrete rv, density and distribution function of random variable, examples of various discrete and continuous random variables (Bernoulli, Binomial, Geometric, Uniform, Gaussian, Exponential). Simple transformation of random variables, Expectation and variance of random variables, Joint distribution of multiple random variables, Statistical independence, Co-variance and correlation, Introduction to Law of large numbers and central limit theorem.

Statistical modelling analysis and inference, Time series analysis, Probability distributions, Fundamentals of statistical analysis and inference, Multivariate methods, Concepts of correlation and regression, Fundamentals of time series analysis and spectral analysis, error analysis, applications of spectral analysis, Tabular and graphical description of data.

Optimization theory and its applications to various engineering problems, Introduction to Monte Carlo technique

Curve Fitting, Regression analysis, t-student test, Chi-square test

Material:

Some papers:

1) Quantitative, qualitative, and mixed research methods in engineering education

Book on Probability and statistics

1) A Modern Introduction to Probability and Statistics, by F. M Dekking, C. Kraaikamp H.P. Lopuhaa ̈ L.E. Meester, Springer text publishers.

2) Probability and Mathematical Statistics, by Prasanna Sahoo, (This is relatively easy book, in particular we will use this book for statistics part)

3)

4)

1)

2) Second Homework. Click to download. Submit by 3rd July. (Some typos corrected)

Instructor: Shahid M Shah

Credits: 3

Location: Seminar Hall, ECE Dept.

(Monday: 1:15-2PM, Wednesday 4 to 5 PM)

Syllabus: Definition and objectives of Research-- Types of research, Various steps in Research process, Mathematical tools for analysis, Literature review, Surveying, synthesizing, Critical analysis, etc.

Introduction to Probability theory: Probability space, random variable, probability mass function for discrete rv, density and distribution function of random variable, examples of various discrete and continuous random variables (Bernoulli, Binomial, Geometric, Uniform, Gaussian, Exponential). Simple transformation of random variables, Expectation and variance of random variables, Joint distribution of multiple random variables, Statistical independence, Co-variance and correlation, Introduction to Law of large numbers and central limit theorem.

Statistical modelling analysis and inference, Time series analysis, Probability distributions, Fundamentals of statistical analysis and inference, Multivariate methods, Concepts of correlation and regression, Fundamentals of time series analysis and spectral analysis, error analysis, applications of spectral analysis, Tabular and graphical description of data.

Optimization theory and its applications to various engineering problems, Introduction to Monte Carlo technique

Curve Fitting, Regression analysis, t-student test, Chi-square test

Material:

Some papers:

1) Quantitative, qualitative, and mixed research methods in engineering education

Book on Probability and statistics

1) A Modern Introduction to Probability and Statistics, by F. M Dekking, C. Kraaikamp H.P. Lopuhaa ̈ L.E. Meester, Springer text publishers.

2) Probability and Mathematical Statistics, by Prasanna Sahoo, (This is relatively easy book, in particular we will use this book for statistics part)

3)

**Link to PPT for Curve fitting lecture**4)

**Link to useful lecture on optimization theory.****Homeworks**1)

**First Homework is here! There were some typos, kindly download updated assignment.**Click here to download. Submit on Monday. Don't copy, I have plagiarism detector!!!2) Second Homework. Click to download. Submit by 3rd July. (Some typos corrected)