- Foundational Knowledge: Demonstrate a comprehensive understanding of core mathematical concepts, including algebra, calculus, discrete mathematics, real analysis, and complex analysis.
- Problem Solving: Develop strong problem-solving skills, applying various mathematical methods and techniques to analyze and solve complex problems.
- Mathematical Reasoning: Apply rigorous mathematical reasoning and logic to construct mathematical proofs and arguments.
- Abstraction and Generalization: Utilize abstraction and generalization to model and solve real-world problems, translating practical situations into mathematical structures.
- Mathematical Software Tools: Use mathematical software tools and programming languages to implement mathematical algorithms, conduct simulations, and visualize mathematical concepts.
- Independent Research Skills: Develop the ability to conduct independent mathematical research, including formulating research questions, conducting literature reviews, and presenting findings.
- Collaboration and Teamwork: Work collaboratively on mathematical problems, demonstrating effective teamwork and communication skills.
- Quantitative Analysis: Apply mathematical techniques for quantitative analysis, particularly in the context of data analysis, statistics, and applied mathematics.
- Interdisciplinary Application: Recognize and apply mathematical principles in interdisciplinary contexts, such as physics, engineering, economics, and computer science.
- Critical Thinking: Develop critical thinking skills to evaluate mathematical arguments, solutions, and models.
- Life-long Learning: Cultivate a commitment to continuous learning, staying updated with developments in mathematics and related fields.

**Knowledge and Understanding**

ILO 1: Provide students with knowledge and skills in both computer science and statistical

modeling for data-intensive problem solving and scientific discovery.

**Cognitive and Intellectual Skills**

ILO 2: Equip students with software engineering and machine learning skills to design and

implement efficient, data-driven solutions to real-world problems.

**Skills and Capabilities Related to Employability**

ILO 3: Train students for careers and advanced studies in a wide range of applied computer

science, engineering, business, and biotechnology disciplines.

**Transferable/Key Skills**

ILO 4: Develop articulate, conscientious leaders and problem solvers who are committed to

contributing to their fields and society.

ILO 5: Provide students with a broad foundation of knowledge and skills and cultivate a

commitment to life-long learning.

**Demonstrate Proficiency in Core Mathematical Concepts:**Apply advanced mathematical principles, including calculus, algebra, statistics, and discrete mathematics. Solve complex mathematical problems using appropriate techniques.**Mathematical Reasoning and Proof:**Construct clear and concise mathematical proofs. Develop logical reasoning skills to analyze and solve mathematical problems.**Advanced Calculus and Analysis:**Understand and apply advanced calculus concepts, including limits, integrals, and series. Analyze functions and their properties in multiple variables.**Statistics and Data Analysis:**Analyze and interpret data using statistical methods. Apply statistical techniques to make informed decisions.**Pedagogical Knowledge and Classroom Management:**Demonstrate an understanding of educational theories and principles. Apply pedagogical strategies to teach mathematical concepts effectively. Develop effective classroom management strategies. Foster a positive and inclusive learning environment.**Curriculum Design and Assessment:**Design and modify curriculum materials to meet diverse student needs. Develop and implement assessments to evaluate student understanding.**Mathematics Education Research:**Engage in research related to mathematics education. Critically evaluate and apply research findings to improve teaching practices.**Communication and Collaboration:**Communicate effectively with students, colleagues, and parents. Collaborate with other educators to enhance the learning environment.