Introduction to Problem Solving for Math Contests
Learn by solving hundreds of contest problems! (Designed for Beginners)
Introduction to Problem Solving for Math Contests free download
Learn by solving hundreds of contest problems! (Designed for Beginners)
The course covers a lot of the Olympiad topics making them accessible for beginners. The entire course is divided into 3 sections - Trigonometry, Geometry and Problem-Solving. Each section has multiple videos which cover the theory and applications. Most sections also have assignment with problems from various Olympiads. The theory for the course is covered in a total of 20 video lectures. We then discuss hundreds of problems (>125) in the remaining 20 or so lectures while explaining the ideas.
Some of the advanced topics covered in the course include - Functions, Maxima/Minima, Inequalities, Trigonometry, Triangle Geometry, Sets and Partitions, Functional Equations, The extreme principle, Sequences and Series, Advanced Inequalities, Analytic Geometry including Conic Sections, Families of Curves, Mathematical Induction, Complex Numbers and their properties, Recursive and Periodic Sequences, The Construction Method, Combinatorics, Principle of Inclusion and Exclusion, Recursive counting, Number Theory, Congruences, Diophantine Equations, Polynomials, Roots of Polynomials. The course covers a lot of topics in Olympiad Algebra. The entire course is divided into 5 sections. Each section has multiple videos which cover the theory and applications. Most sections also have assignment with problems from various Olympiads.
Some of the advanced topics covered in the course include - Algebra of Quadratic functions, Advanced Inequalities, Complex Numbers and their properties, extrema of algebraic expressions, Algebraic identities including Lagrange's identity and Sophie Germain identities, Polynomials, self-reciprocal polynomials and Roots of Polynomials, Irreducibility.
The assignment problems have been specially designed to go from beginner to advanced levels. Any students who face difficulties with the assignments can reach out to the instructor and I shall try and provide more content (video solutions) to help clarify your issues.
If you have come across a particular idea or theorem in any Olympiad Maths context, we have probably covered it in this course! Happy learning and have fun problem-solving!
