I have taught the following courses.
Math 230 (Probability and Statistics for Engineers) | 2025-2026 Fall
| Section | Times | Room |
| Section 2 | Mon* 08:30–10:20 Wed 13:30–15:20 | T-173 |
| Section 3 | Mon* 15:30–17:20 Thu 10:30–12:20 | A-229 |
| Section 4 | Wed* 08:30–10:20 Fri 13:30–15:20 | T-272 |
| Office Hours | Fri 16:00-17:00 | SA-102 |
* Spare hour included in this session.
Textbook: Modern Mathematical Statistics with Applications, Jay L. Devore, Kenneth Berk, and Matthew A. Carlton, 3rd edition, Springer
Lecture Notes
Example Sheets
Here is a useful probability cheat sheet .
Here is an advanced application of the standard normal CDF (see Equation 6) in a real-life problem: kidney branching morphogenesis.
The course covers the following topics:
- Interpreting probabilities
- Axioms interpretations, and properties of probability
- Counting methods
- Conditional probability
- Independence
- Random variables
- Probability distributions for discrete random variables
- Expected value and standard deviation
- Moments and moment generating functions
- The binomial distribution
- Poisson distribution
- Other discrete distributions
- Probability density functions and cumulative distribution functions (Continuous random variables )
- Expected values and moment generating functions
- The normal (Gaussion) distribution
- Exponential and Gamma distributions
- Other continuous distributions
- Transformations of a random variable
- Jointly distributed random variables
- Expected values, covariance and correlation
- Linear combinations
- Statistics and their distributions
- Distribution of sample totals, means and proportions
- The Chi-squared, t and F distributions
- Concepts and criteria of point estimation
- Maximum likelihood estimation
- Confidence intervals
Math 106 (Introduction to Calculus II) | 2024-2025 Spring &Summer
Textbook: Calculus, Varberg – Purcell – Rigdon, 2007/9, Pearson New International Edition
The course covers the following topics:
- Antiderivatives
- Introduction to differential equations
- Introduction to area
- Definite integral
- The first fundamental theorem of calculus
- The second fundamental theorem of calculus
- Method of substitution
- Mean value theorem for integrals
- Area of a plane region
- Inverse functions and their derivatives
- Exponential and logarithmic functions
- Exponential growth and decay
- Inverse trigonometric functions
- Indeterminate forms and L’Hôpital’s Rule
- Compound interest
- Basic integration rules
- Integration by parts
- Trigonometric integrals
- Rationalizing substitutions
- Three-dimensional coordinate system
- Functions of several variables
- Partial fractions
- Partial derivatives
- The chain rule
- Maxima and minima
- The second partial derivative test
- The method of Lagrange multipliers
Below are some selected quizzes from the course.
Math 105 (Introduction to Calculus I) | 2024-2025 Fall
Textbook: Calculus, Varberg – Purcell – Rigdon, 2007/9, Pearson New International Edition
The course covers the following topics:
- Real numbers
- Inequalities and absolute value
- Lines and circles
- Graphs of equations
- Functions and their graphs
- Operations on functions
- Trigonometric functions
- Introduction to limits
- Limit theorems
- Limits involving trigonometric functions
- Limits at infinity
- Infinite limits
- Asymptotes
- Continuity of functions
- Tangent lines
- The derivative
- Rules for finding derivatives
- Derivatives of trigonometric functions
- The chain rule
- Higher-order derivatives
- Implicit differentiation
- Related rates
- Maxima and minima
- Monotonicity and concavity
- Local extrema and extrema on open Intervals
- The mean value theorem
- Graphing functions
- Optimization problems
- Economic applications
Below are some selected quizzes from the course.
Nurdan Kar, Ph.D. 