Mathematical Analysis
(การวิเคราะห์ทางคณิตศาสตร์)
Definition
Mathematical Analysis (การวิเคราะห์ทางคณิตศาสตร์) Hard Skill
Mathematical Analysis is the branch of mathematics dealing with limits, continuity, differentiation, integration, and infinite series to understand and solve problems involving change and motion.
Expertise Level
Level 1
Basic
1. Understands fundamental concepts like limits and continuity.
2. Can perform basic differentiation and integration tasks.
3. Familiar with simple infinite series and sequences.
Level 2
Intermediate
1. Able to solve problems involving complex functions and their limits.
2. Applies differentiation and integration techniques to real-world problems.
3. Analyzes convergence and divergence of infinite series with confidence.
Level 3
Advanced
1. Proficient in rigorous proofs involving limits, continuity, and differentiability.
2. Can apply advanced integration methods and handle improper integrals.
3. Analyzes and constructs complex mathematical arguments using infinite series and functional analysis.
