Course Overview
The Advanced Mathematics course is designed for students, professionals, and researchers who want to deepen their understanding of mathematical concepts. This course covers key areas such as calculus, linear algebra, discrete mathematics, probability, and optimization.
Whether you’re preparing for competitive exams, pursuing higher education, or working in fields like data science and artificial intelligence, this course will provide you with essential mathematical tools for problem-solving and analysis.
What You’ll Learn
By the end of this course, you will be able to:
✅ Master calculus concepts, including differentiation and integration.
✅ Understand linear algebra, including matrices, determinants, and vector spaces.
✅ Solve complex equations using algebraic techniques.
✅ Apply discrete mathematics in computing and logical reasoning.
✅ Use probability and statistics for real-world applications.
✅ Learn optimization techniques for AI and machine learning.
✅ Develop mathematical problem-solving skills for various domains.
This course builds a strong foundation in mathematical reasoning and computational techniques.
Curriculum Overview
📌 Module 1: Algebra & Number Theory
- Advanced algebraic expressions and equations
- Polynomials and their properties
- Number theory and modular arithmetic
📌 Module 2: Calculus (Differential & Integral)
- Limits and continuity
- Differentiation techniques and applications
- Integration methods and real-world applications
📌 Module 3: Linear Algebra & Matrix Theory
- Vectors and vector spaces
- Matrices, determinants, and eigenvalues
- Applications in computer science and engineering
📌 Module 4: Discrete Mathematics & Logic
- Set theory and combinatorics
- Graph theory fundamentals
- Boolean algebra and logical reasoning
📌 Module 5: Probability & Statistics
- Probability theory and random variables
- Statistical inference and data analysis
- Machine learning applications of probability
📌 Module 6: Optimization & Mathematical Modeling
- Linear programming and convex optimization
- Game theory and decision-making
- Applications in AI and data science
📌 Module 7: Differential Equations & Fourier Analysis
- Ordinary and partial differential equations
- Fourier series and transforms
- Applications in physics and engineering
📌 Module 8: Capstone Project & Certification
- Solving real-world mathematical problems
- Presenting mathematical models and proofs
- Course completion certification
Who Should Enroll?
📊 Students & Researchers looking to strengthen their mathematical skills
🖥️ Data Scientists & AI Enthusiasts applying math to machine learning
📚 Competitive Exam Aspirants preparing for IIT-JEE, GATE, GRE, etc.
🚀 Engineering & Finance Professionals requiring advanced math knowledge
Instructor Information
This course is taught by experienced mathematicians and instructors from School of AI, ensuring high-quality learning and mentorship.
