Applied and Computational Mathematics
The Applied and Computational Mathematics Bachelor of Science program at the University of Caltech offers a rigorous curriculum that integrates mathematical theory with modern computational techniques. The program provides a strong foundation in differential equations, linear algebra, probability, and numerical analysis, enabling students to model complex systems and solve real-world problems using quantitative tools. Through coursework that blends analytical reasoning with algorithmic thinking, learners develop the ability to evaluate mathematical structures with technical precision, interpret computational results, and apply mathematical methods across diverse scientific and engineering domains. This structure supports the development of deep analytical skills essential for addressing multifaceted challenges in today’s data-driven world.
Students further benefit from Caltech’s interdisciplinary research environment, where applied mathematics intersects naturally with engineering, physics, computer science, and biological sciences. Access to experimental data, computational resources, and advanced mathematical tools allows learners to explore simulations, optimization techniques, and mathematical modeling. Collaboration with faculty engaged in cutting-edge research enriches students’ understanding of mathematical systems and strengthens their ability to work on complex problems such as fluid dynamics, data science applications, and stochastic processes. This integrated academic framework prepares graduates for impactful careers requiring both rigorous mathematical reasoning and practical computational expertise.
Key information
Key Facts
- Program Title: Applied and Computational Mathematics
- Degree Type: Bachelor of Science
- Duration: 4 years
- Mode of Study: Full-time, On Campus
- Application Deadline: 05 January 2026
- Location: California Institute of Technology (Caltech), United States
- Field of Study: Applied Mathematics
- Language of Instruction: English
Program Structure
Year 1 – Foundations of Mathematics & Computation
- Calculus and Linear Algebra
- Introduction to Programming for Mathematical Applications
- Discrete Mathematics
- Mathematical Proofs and Reasoning
Year 2 – Core Applied Mathematical Methods
- Differential Equations and Dynamical Systems
- Probability and Stochastic Processes
- Numerical Analysis and Approximation Techniques
- Mathematical Modeling in Science and Engineering
Year 3 – Advanced Computational Techniques
- Optimization and Operations Research
- Scientific Computing and Simulation
- Elective Courses in Data Science, Machine Learning, or Applied Physics
- Applied Mathematics Laboratory / Project-Based Study
Year 4 – Specialized Topics & Capstone Research
- Advanced Topics in Applied and Computational Mathematics
- Senior Thesis or Independent Research Project
- High-Performance Computing or Advanced Modeling
- Academic Presentation and Research Portfolio
Career Opportunities
Graduates of this program possess versatile analytical and computational skills that prepare them for diverse roles across science, technology, and engineering industries. Many begin careers in data science organizations, research laboratories, financial analytics firms, and technology companies, where strong quantitative reasoning and algorithmic expertise are essential. Their training equips them to contribute to projects involving large-scale simulations, predictive models, optimization strategies, and statistical analysis used in engineering, physics, economics, and computer science. Opportunities also exist in aerospace, healthcare analytics, environmental modeling, and government agencies that require advanced mathematical insight. For students who wish to continue academically, this degree offers exceptional preparation for master’s or doctoral studies in applied mathematics, computational science, engineering, or quantitative disciplines, supporting future leadership roles in research and academia.
Why Choose This Program
This program is an ideal choice for students seeking a mathematically intensive education that strengthens their advanced analytical insight, allowing them to approach scientific and engineering problems with precision and creativity. The University of Caltech provides a research-oriented environment supported by expert faculty guidance, interdisciplinary collaboration, and access to cutting-edge computational facilities. Students gain hands-on experience with simulation tools, mathematical modeling frameworks, and real-world datasets that reinforce their ability to apply mathematics in meaningful ways. The curriculum also offers flexibility through electives that enable learners to specialize in areas such as data science, optimization, numerical analysis, or scientific computing. With its emphasis on scientific precision, computational depth, and innovative problem-solving, the program equips graduates with the expertise needed for high-impact careers or for pursuing advanced academic opportunities.
Contact Information
For further information, please contact the admissions office at:
Phone: +1 626 395 3000
Email: admissions@caltech.edu
Address: University of Caltech, 1200 East California Boulevard, Pasadena, CA 91125, United States
