📚 DMATH-406 Probability & Mathematical Statistics
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Probability Axioms and Rules
- 📘 Chapter 2: Conditional Probability and Bayes
- 📘 Chapter 3: Random Variables
- 📘 Chapter 4: Discrete Probability Distributions
- 📘 Chapter 5: Continuous Probability Distributions
- 📘 Chapter 6: Normal Distribution
- 📘 Chapter 7: Sampling and Sampling Distributions
- 📘 Chapter 8: Point Estimation
- 📘 Chapter 9: Interval Estimation
- 📘 Chapter 10: Hypothesis Testing
- 📘 Chapter 11: Chi-Square Tests
- 📘 Chapter 12: Regression and Correlation
Issued by TutorDa LMS | D'Math Univ
📚 DMATH-405 Differential Equations
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Introduction to Differential Equations
- 📘 Chapter 2: First Order ODEs
- 📘 Chapter 3: Separable Equations
- 📘 Chapter 4: Linear First Order ODEs
- 📘 Chapter 5: Exact Equations
- 📘 Chapter 6: Second Order Linear ODEs
- 📘 Chapter 7: Homogeneous Equations
- 📘 Chapter 8: Non-Homogeneous Equations
- 📘 Chapter 9: Method of Undetermined Coefficients
- 📘 Chapter 10: Variation of Parameters
- 📘 Chapter 11: Laplace Transforms
- 📘 Chapter 12: Systems of Differential Equations
Issued by TutorDa LMS | D'Math Univ
📚 DMATH-404 Linear Algebra
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Vector Spaces and Subspaces
- 📘 Chapter 2: Linear Independence
- 📘 Chapter 3: Basis and Dimension
- 📘 Chapter 4: Row Space and Column Space
- 📘 Chapter 5: Linear Transformations
- 📘 Chapter 6: Matrix Representation
- 📘 Chapter 7: Eigenvalues and Eigenvectors
- 📘 Chapter 8: Characteristic Polynomial
- 📘 Chapter 9: Diagonalization
- 📘 Chapter 10: Inner Product Spaces
- 📘 Chapter 11: Orthogonal Projections
- 📘 Chapter 12: Singular Value Decomposition
Issued by TutorDa LMS | D'Math Univ
📚 DMATH-403 Multivariable Calculus
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Functions of Several Variables
- 📘 Chapter 2: Partial Derivatives
- 📘 Chapter 3: Gradient and Directional Derivatives
- 📘 Chapter 4: Tangent Planes
- 📘 Chapter 5: Chain Rule (Multivariable)
- 📘 Chapter 6: Optimization (Multivariable)
- 📘 Chapter 7: Lagrange Multipliers
- 📘 Chapter 8: Double Integrals
- 📘 Chapter 9: Triple Integrals
- 📘 Chapter 10: Line Integrals
- 📘 Chapter 11: Surface Integrals
- 📘 Chapter 12: Theorems: Green, Stokes, Divergence
Issued by TutorDa LMS | D'Math Univ
📚 DMATH-402 Integral Calculus
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Antiderivatives and Indefinite Integrals
- 📘 Chapter 2: Basic Integration Rules
- 📘 Chapter 3: Integration by Substitution
- 📘 Chapter 4: Integration by Parts
- 📘 Chapter 5: Trigonometric Integrals
- 📘 Chapter 6: Trigonometric Substitution
- 📘 Chapter 7: Partial Fractions
- 📘 Chapter 8: Definite Integrals
- 📘 Chapter 9: Fundamental Theorem of Calculus
- 📘 Chapter 10: Area Between Curves
- 📘 Chapter 11: Volume of Revolution
- 📘 Chapter 12: Improper Integrals
Issued by TutorDa LMS | D'Math Univ
📚 DMATH-401 Differential Calculus
This course covers 12 structured chapters with quizzes, assignments, and a final assessment.
📋 Topics Covered:
- 📘 Chapter 1: Limits and Continuity
- 📘 Chapter 2: Definition of Derivative
- 📘 Chapter 3: Power and Sum Rules
- 📘 Chapter 4: Product and Quotient Rules
- 📘 Chapter 5: Chain Rule
- 📘 Chapter 6: Implicit Differentiation
- 📘 Chapter 7: Derivatives of Trig Functions
- 📘 Chapter 8: Derivatives of Exp and Log
- 📘 Chapter 9: Higher Order Derivatives
- 📘 Chapter 10: Applications: Tangent Lines
- 📘 Chapter 11: Applications: Optimization
- 📘 Chapter 12: Applications: Related Rates
Issued by TutorDa LMS | D'Math Univ