Applied Mathematics for Real-World Problem Solving- Krutika Bhavasar

The Applied Mathematics for Real-World Problem Solving course by Krutika Bhavasar is a concise, high-impact online program designed for Bachelor’s-level students who want to use mathematics rather than memorize formulas. Delivered over 10 focused hours, this course emphasizes modeling, analysis, and decision-making—the skills that matter in exams, projects, and professional roles across engineering, data science, economics, and applied math disciplines.

Instead of theory overload, the course centers on practical mathematics: translating real scenarios into mathematical models, selecting the right tools, and interpreting results with clarity. Each session blends concept essentials with industry-style case studies to ensure immediate applicability.

What Students Will Learn

• Mathematical Modeling: Convert real-world problems into workable mathematical formulations.

• Linear Algebra (Applied): Apply matrices, vectors, and systems to real data and engineering contexts.

• Optimization: Solve business and engineering optimization problems (constraints, objective functions).

• Calculus in Practice: Analyze change, growth, cost, and sensitivity using derivatives and integrals.

• Differential Equations: Model dynamic systems and interpret solutions meaningfully.

• Probability & Risk: Build practical intuition for uncertainty, decision-making, and outcomes.

• Applied Statistics: Analyze real datasets and draw defensible conclusions.

• Numerical Methods: Use approximation techniques when closed-form solutions are not feasible.

• Case Studies: Work through realistic, exam- and job-relevant scenarios end-to-end.

• Exam-Ready Skills: Develop structured approaches to applied problems under time constraints.

Teaching Method

• Use-First Pedagogy: Minimal theory; maximum application.

• Problem-Driven Sessions: Every topic anchored to real use cases.

• Step-by-Step Reasoning: Clear problem setup → method selection → solution → interpretation.

• Interactive Online Delivery: Live walkthroughs, discussion, and guided practice.

• Compact & Focused: 10 hours optimized for impact and retention.

Why This Tutor

• Clear, application-centric explanations tailored to Bachelor’s curricula.

• Emphasis on transferable problem-solving skills relevant to exams and careers.

• Balanced coverage across calculus, linear algebra, probability, statistics, and numerical methods—without unnecessary complexity.

Who Should Join

• Bachelor’s students in Mathematics, Engineering, Data Science, Economics, and related fields.

• Learners preparing for applied math exams, projects, or internships.

• Students who want confidence in solving practical problems efficiently.

Benefits / Outcomes

By the end of the course, students will:

• Translate real situations into mathematical models confidently.

• Choose appropriate methods and justify solutions.

• Handle applied problems in exams and projects with speed and accuracy.

• Build job-ready analytical thinking applicable across domains.