Learning mathematical thinking

Who this course is for:

• This course aims to stimulate a creative spark and help develop skills for mathematical thinking. Solutions to selected math Olympiad problems that require unconventional thinking and inventiveness will be demonstrated utilizing complex thought experiments with clarity and precision in a relatable and inspirational manner. Major concepts and principles such as the Fundamental Theorem of Arithmetic, Pigeonhole (or Dirichlet) Principle, Mathematical Induction, Invariance, Equivalence Relation, Combinatorial Principles will be explained in the context of unconventional thinking. Instead of utilized facts, they will be absorbed to become an inseparable part of mathematical intuition. The course is open for middle and high school students, mathematics teachers, undergraduate and graduate students in STEM (Science, Technology, Engineering & Mathematics) disciplines, and STEM professionals from around the world who want to hone their mathematical thinking and problem-solving ability. The course will primarily help middle & high school and college students to sharpen their skills for competitive math competitions like American Mathematical Contest (AMC), MATHCOUNTS, American Invitational Math Examination (AIME), USA Math Olympiad (USAMO), national and regional math Olympiads worldwide, International Math Olympiad (IMO) or Putnam. In a broader context, the course will help professionals to enhance problem-solving skills by expanding and sharpening mathematical and logical thinking abilities.