Dr. Abdelrahim Mousa
Teaching at Math Department
Master Courses in Mathematics
MATH 739: Stochastic Differential Equations
MATH 860: Master Thesis Supervision
MATH 830: Master Seminar
Undergraduate Courses in Mathematics
MATH 411: Seminar in Mathematics
MATH 331: Ordinary Differential Equations
Math 330: Numerical Methods Using Matlab
MATH 234: Introduction to Linear Algebra
MATH 141: Calculus And Analytical Geometry I
MATH 132: Calculus And Analytical Geometry II
MATH 231: Calculus And Analytical Geometry III
MATH 1431: Calculus for Biology and Medicine
MATH 1351: Precalculus
MATH 2351: Calculus for Business and Economics
Undergraduate Courses in Applied Mathematics
MAEC 411: Seminar in Applied Mathematics
MAEC 333: General Equilibrium and Public Choice
MAEC 436: Game Theory
STAT 2311: Statistics I
STAT 236: Basic Statistics For Business Students
Undergraduate Courses in Leadership & Entrepreneurship
LRNJ201: Citizenship - Leadership and Civic Engagement
LRNJ301: Social Entrepreneurship 1 & 2
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لقاء إرشادي عام لطلبة الجامعة على مختلف تخصصاتهم مع بدء فترة الإمتحانات - السبت 23-11-2024
لقاء إرشادي عام لطلبة الجامعة على مختلف تخصصاتهم مع بدء فترة الإمتحانات - الثلاثاء 28-5-2024
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Discussion Problems Playlist 2020
1.1 Functions and their Graphs
1.2 Combining Functions
1.3 Trigonometric Functions
2.1 and 2.2 Rates of Change and Tangent to Curves and Limit of Functions
2.3 The Precise Definition of a Limit
2.4 One-Sided Limits
2.5 Continuity
2.6 Limits Involving Infinity and Asymptotes of Graphs
3.1 Tangents and the Derivative at a Point
3.2 The Derivative as a Function
3.3 Differentiation Rules
3.4 The Derivative as a rate of Change
3.5 Derivatives of Trigonometric Functions
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Related Rates
3.9 Linearization and Differentials
4.1 Extreme Values of Functions
4.2 Mean Value Theorem
4.3 Monotonic Functions and the First derivative Test
4.4 Concavity and Curve Sketching
4.5 Applied Optimization
4.7 Anti Derivatives
5.2 Sigma Notation and Limits of Finite Sums
5.3 The Definite Integral
5.4 The Fundamental Theorem of Calculus
5.5 Indefinite Integrals and the Substitution Method
5.6 Substitution and Area Between Curves
6.1 Volumes Using Cross-Sections
6.2 Volumes Using Cylindrical Shells
6.3 Arc Length
6.4 Areas of Surfaces of Revolution
7.1 Inverse Functions and Their Derivatives
7.2 Natural Logarithms
7.3 Exponential Functions
7.4 Exponential Change and Separable Differential Equations
7.5 Indeterminate Forms and L'Hopital's Rule
7.6 Inverse Trigonometric Functions
7.7 Hyperbolic Functions
7.8 Relative Rates of Growth
8.1 Integration by Parts
8.2 Trigonometric Integral
8.3 Trigonometric Substitutions
8.4 Integration of Rational Functions by Partial Fractions
8.7 Improper Integrals
A.7 Complex Numbers
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Text Book: Weir, Hass and Giordano. Thomas’ Calculus. 12th Edition
Discussion Problems Playlist 2020
Discussion Problems Playlist 2024
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Text Book: Weir, Hass and Giordano. Thomas’ Calculus. 12th Edition
13.1 Curves in Space and Their Tangents
13.2 Integrals of Vector Functions
13.3 Arc Length in Space
13.4 Curvature and Normal Vectors of a Curve
13.5 Tangential and Normal Components of Acceleration
14.1 Functions of Several Variables
14.2 Limits and Continuity in Higher Dimensions
14.3 Partial Derivatives
14.4 The Chain Rule
14.5 Directional Derivatives and Gradient Vectors
14.6 Tangent Planes and Differentials
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
15.1 Double and Iterated Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Area by Double Integration
15.4 Double Integrals in Polar Form
15.5 Triple Integrals in Rectangular Coordinates
15.6 Moment and Centers of Mass
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Substitution in Multiple Integrals
16.1 Line Integrals
16.2 Vector Fields and Line Integrals
Math234: Linear Algebra with Applications
Text Book: Steven J. Leon. Linear Algebra with Applications. 9th Edition
Contents
1.1 Systems of Linear Equations
1.2 Row Echelon Form
1.3 Matrix Arithmetic
1.4 Matrix Algebra
1.5 Elementary Matrices
2.1 The Determinant of a Matrix
2.2 Properties of Determinants
2.3 The Adjoint of a Matrix
3.1 Vector Spaces - Definition and Examples
3.2 Subspaces
3.3 Linear Independence
3.4 Basis and Dimension
3.5 Change of Basis
3.6 Row Space and Column Space
4.1 Linear Transformations - Definition and examples
4.2 Matrix Representations of Linear transformations
6.1 Eigenvalues and Eigenvectors
6.3 Diagonalization
Contents
Text Book: John H. Mathews & Kurtis D. Fink.
Numerical Methods Using Matlab. Pearson Education Inc., 4th Edition, 2004
Install Internet Download Manger to help installing Matalb faster
Have a look to this video helping you how to install Matlab
Start Installing Matlab
Text Book: Dennis J. Sweeney, Thomas A. Williams And David R. Anderson.
Fundamentals of Business Statistics, Fifth Edition, 2009
1.1 - 1.2 Applications in Business and Economics
1.3 Data Sources
1.4 Descriptive Statistics
2.1 Tabular and Graphical Presentations
2.2 Summarizing Quantitative Data
2.3 The Stem and Leaf Display
2.4 Cross-Tabulations and Scatter Diagrams
3.1 Measures of Location
3.2 Measures of Variability
3.3 Measures of Distribution Shape
3.4 Exploratory Data Analysis
3.5 Measures of Association Between Two Variables
3.6 The Weighted Mean and Grouped Data
4.1 Experiments and Counting Rules
4.2 Events and their Probabilities
4.3 Some Basic Relationships of Probability
4.4 Conditional Probabilities
5.1 Random Variables
5.2 Discrete Probability Distribution
5.3 Expected Value and Variance
5.4 Binomial Probability Distribution
5.5 Poisson Probability Distribution
6.1 Uniform Probability Distribution
6.2 Normal Probability Distribution
6.3 Normal Approximation of Binomial Probabilities
6.4 Exponential Probability Distribution
7.1 Sampling
7.2 Selected a Sample
7.3 Point Estimation
7.4 Introduction to Sampling Distribution
7.5 Sampling Distribution of the Sample Mean
7.6 Sampling Distribution of the Sample Proportion
7.7 Sampling Methods
8.1 Population Mean when Sigma is Known
8.2 Population Mean when Sigma is Unknown
8.3 Determining the Sample Size
8.4 Population Proportion
9.1 Null and Alternative Hypothesis
9.2 Type I and II Errors
9.3 Hypothesis Testing about Population Mean when Sigma is Known
9.4 Hypothesis Testing about Population Mean when Sigma is Unknown
9.5 Hypothesis Testing about Proportion
Text Book: Ronald Harshbarger and James Reynolds.
Mathematical Applications for the Management, Life and Social Sciences, Tenth Edition, 2013
0.1 Sets
0.2 The Real Numbers
0.3 Exponents
0.4 Radicals
0.5 Operations with Algebraic Expressions
0.6 Factoring
0.7 Algebraic Fractions
1.1 Solutions of Linear Equations and Inequalities
1.2 Functions
1.3 Linear Functions
1.5 Solutions of Systems of Linear Equations
2.1 Quadratic Equations: Quadratic Formula
2.2 Quadratic Functions: Parabolas
2.4 Special Functions and Their Graphs
3.1 Matrices
3.2 Multiplication of Matrices
3.4 Inverse of Square Matrix
4.1 Linear Inequalities in Two Variables
4.2 Linear Programming
5.1 Exponential Functions
5.2 Logarithmic Functions and Their Properties
5.3 Solution of Exponential Equations
Text Book: Ronald Harshbarger and James Reynolds.
Mathematical Applications for the Management, Life and Social Sciences, Tenth Edition, 2013
Lecture Notes - تلخيص المادة 1
Lecture Notes - تلخيص المادة 2
1.2 Functions
1.3 Linear Functions
1.6 Applications of Functions in Business and Economics
2.1 Quadratic Equations: Quadratic Formula
2.2 Quadratic Functions: Parabolas
2.3 Business Applications Using Quadratics
5.1 Exponential Functions
5.2 Logarithmic Functions and Their Properties
5.3 Solution of Exponential Equations
6.1 Simple Interest and Sequences
6.2 Compound Interest - Geometric Sequences
9.1 Limits
9.2 Continuous functions, limits at infinity
9.3 Average and Instantaneous Rates of Change
9.4 Derivative Formulas
9.5 The Product Rule and the Quotient Rule
9.6 The chain rule and power rule
9.7 Using derivative formulas
9.8 High order derivatives
9.9 Applications of Derivatives in business and economics
10.1 Relative Maxima and Minima
10.2 Concavity: Points of inflection, Second Derivative test
10.3 Optimization in Business and Economics
11.1 Derivatives of Logarithmic Functions
11.2 Derivatives of Exponential Functions
11.3 Implicit Differentiation
11.5 Applications in Business and Economics
12.1 The Indefinite Integral
12.2 The Power Rule
12.3 Integrals Involving Exponential and Logarithmic Functions
12.4 Applications of the Indefinite Integral in Business and Economics
13.2 The Definite Integral: The Fundamental Theorem of Calculus
13.3 Area between two curves
13.4 Applications of Definite Integrals in Business and Economics
14.1 Functions of two variables
14.2 Partial Differentiation
14.3 Applications of Functions of Two Variables in Business and Economics
14.4 Maxima and Minima