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Succeeding in competitive physics exams requires a deep, intuitive understanding of quantum mechanics and its mathematical frameworks. This text-based course breaks down complex quantum physics theories into accessible, step-by-step written explanations. You will transition from basic quantum principles to solving intricate approximation problems with confidence. What you'll learn: - Understand the core principles of quantum mechanics and foundational mathematical concepts - Master time-independent perturbation theory for non-degenerate and degenerate states - Apply the variational method to estimate ground-state energies of quantum systems - Solve complex quantum problems using the WKB approximation method - Practice step-by-step problem-solving techniques tailored for advanced physics examinations This course begins with essential definitions and foundational mathematical tools before guiding you through detailed derivations and theoretical applications. You will read comprehensive breakdowns of standard exam-style problems, learning exactly how to apply each approximation method systematically. This course is designed for physics students and exam aspirants who already possess a basic understanding of introductory quantum mechanics and want to master approximation methods. No advanced prior knowledge of perturbation theory is required. Start reading today to build a strong theoretical foundation in quantum mechanics.