Hello Folks,
I hope this message finds you well. I am currently participating in several programming contests and, in the process, have noticed that I often find myself facing challenges that seem rooted in mathematical concepts. Given that I have been professionally employed for two years now, I regret to admit that my engagement with mathematical exercises has been somewhat limited during this period. Nevertheless, I remain passionate about Competitive Programming (CP) and aspire to enhance my performance in upcoming contests. In light of this, I wanted to seek your perspectives on the importance of mathematics in this field.
During my high school years, I had a strong foundational knowledge of mathematics, having achieved an 'A' grade in my final examination. I had also pursued and excelled in Further Mathematics independently. While revisiting my Further Mathematics textbook (high school subject but actually content are somewhat similar to maths when I was in college (I did Electrical Engineering)) recently, I contemplated whether revisiting the topics from this advanced syllabus might be beneficial for my current endeavors.
For your reference, here is the syllabus from our Further Mathematics — Pure Mathematics Paper 1:
- Roots of Polynomial Equations
- Rational Functions and Graphs
- Summation of Series
- Matrices
- Polar Coordinates
- Vectors
- Proof by Induction
Second part:
- Hyperbolic Functions
- Advanced Matrices
- Differentiation
- Integration
- Complex Numbers
- Differential Equations
- Continued Differential Equations
In the context of CP, I am keen to understand which of these topics, or possibly others not listed here, you believe would be most beneficial to focus on. Additionally, if you have any specific recommendations on how to most effectively revise and apply these topics, I would greatly appreciate your insights.
Thank you for taking the time to read my message. I look forward to hearing your advice.
