Course Overview: The Bachelor of Science in Applied Mathematics program offers a rich exploration into the practical applications of mathematical concepts in real-world scenarios. By integrating theoretical knowledge with hands-on problem solving, the program prepares students to tackle complex challenges in fields such as engineering, physics, economics, and computer science. Graduates will possess a strong foundation in mathematics coupled with the skills to apply this knowledge across various disciplines.

Program Objectives:

1. Provide students with a deep understanding of fundamental mathematical theories and methods.
2. Equip students with the skills to formulate and solve complex problems using mathematical techniques.
3. Foster interdisciplinary collaboration, encouraging the application of mathematics in diverse fields.
4. Cultivate analytical thinking, logical reasoning, and effective communication skills.

Course Structure: The program spans over four years, divided into eight semesters, merging rigorous academic coursework with practical applications.

Year 1: Calculus I & II, Linear Algebra, Introduction to Differential Equations, Discrete Mathematics.

Year 2: Multivariable Calculus, Advanced Linear Algebra, Probability and Statistics, Numerical Analysis.

Year 3: Mathematical Modeling, Complex Analysis, Partial Differential Equations, Operations Research.

Year 4: Optimization Techniques, Advanced Numerical Methods, Stochastic Processes, Capstone Project in Applied Mathematics.

Year 1:

1. Calculus I Exam
   • Fundamental concepts of differential calculus
   • Limits, derivatives, and applications
2. Calculus II Exam
   • Integral calculus and its applications
   • Techniques of integration, sequences, and series
3. Linear Algebra Exam
   • Vector spaces, matrices, and determinants
   • Eigenvalues, eigenvectors, and linear transformations
4. Introduction to Differential Equations Exam
   • Basic techniques for solving ordinary differential equations
   • Applications in physics and engineering

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Year 2:

5. Multivariable Calculus Exam
   • Vector-valued functions, partial derivatives, and multiple integrals
   • Applications in physics and engineering
6. Advanced Linear Algebra Exam
   • Inner product spaces, orthogonality, and diagonalization
   • Applications in computer science and engineering
7. Probability and Statistics Exam
   • Basic probability theory, random variables, and distributions
   • Statistical inference and hypothesis testing
8. Numerical Analysis Exam
   • Algorithms and methods for numerical solutions
   • Error analysis and computational efficiency

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Year 3:

9. Mathematical Modeling Exam
   • Construction and analysis of mathematical models
   • Applications in biology, economics, and engineering
10. Complex Analysis Exam
    • Functions of a complex variable, contour integrals, and residues
    • Applications in physics and engineering
11. Partial Differential Equations Exam
    • Techniques for solving PDEs
    • Applications in fluid dynamics, electromagnetism, and heat transfer
12. Operations Research Exam
    • Linear programming, network flows, and optimization
    • Applications in business and engineering

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Year 4:

13. Optimization Techniques Exam
    • Linear and nonlinear optimization methods
    • Applications in economics, engineering, and computer science
14. Advanced Numerical Methods Exam
    • Finite element methods, boundary value problems, and iterative methods
    • Applications in engineering and science
15. Stochastic Processes Exam
    • Markov chains, Poisson processes, and queuing theory
    • Applications in finance, engineering, and operations research
16. Capstone Project Presentation
    • Comprehensive research or applied project in mathematics
    • Addressing a current challenge or innovation in applied mathematics

1. High school diploma or equivalent with strong performance in mathematics.
2. Letters of recommendation, preferably from math educators.
3. A personal statement detailing the applicant’s interest in applied mathematics and any relevant experiences.
4. An interview may be conducted to assess the applicant’s mathematical aptitude and passion for the discipline.