CSS 2019 – Applied Mathematics: Examiner’s Feedback and Student Guide
Introduction
Applied Mathematics is one of the most technical optionals in CSS. It demands strong problem-solving skills, clarity of concepts, and the ability to apply formulas under exam pressure. It is usually attempted by candidates with mathematics, engineering, or physical sciences backgrounds. However, the examiner’s report for CE-2019 revealed that most candidates were not adequately prepared, and performance was unsatisfactory overall. Let’s break down the examiner’s insights, mistakes, and strategies for success.
Examiner Feedback (2019)
The examiner noted:
- Performance was poor overall.
- Most candidates attempted the paper with weak basics in algebra, calculus, and vector analysis.
- Many skipped step-by-step working and wrote only the final answer, losing marks.
- Some left numerical questions blank, showing lack of preparation or confidence.
- Errors in basic arithmetic and algebra were common.
- A small group of well-prepared candidates with strong math backgrounds solved questions accurately and scored well【Examiner-Reports-CE-2019.pdf†L104-L110】.
Common Mistakes by Candidates
- Weak fundamentals
- Struggling with calculus, differential equations, and linear algebra.
- Skipping steps
- Writing only final results without showing derivations or methods.
- Selective preparation
- Ignoring entire sections like Fourier series, PDEs, or numerical methods.
- Careless arithmetic errors
- Losing marks on otherwise simple problems.
- Time mismanagement
- Spending too much time on one lengthy problem while leaving others incomplete.
Practical Preparation Strategies
- Attempt only with strong math background
- This subject is not recommended for those without mathematics at graduate level.
- Strengthen basics first
- Revise algebra, calculus, vector analysis, and ODEs before moving to advanced topics.
- Practice past papers thoroughly
- Solve at least 10 years’ worth of CSS papers under exam conditions.
- Show step-by-step working
- Even if the final answer is wrong, correct methods and derivations can earn partial credit.
- Cover the syllabus completely
- Don’t skip smaller topics like numerical methods — they often bring straightforward questions.
- Focus on accuracy and speed
- Train yourself with mock exams to avoid time mismanagement.
- Use quality references
- Books like Schaum’s Outlines in Applied Mathematics, Kreyszig – Advanced Engineering Mathematics, and CSS-specific notes are useful.
Encouraging Closing Note
The CSS 2019 examiner’s report makes it clear: Applied Mathematics is a high-risk, high-reward subject. Candidates with weak preparation struggled, but those with strong fundamentals and disciplined practice scored very well.
Remember: This subject rewards precision and punishes guesswork. Every solved problem, every neat derivation, every practiced formula adds to your confidence. If you prepare comprehensively and practice rigorously, Applied Math can become a scoring advantage.
Stay motivated: treat this subject like a skill to be mastered — with consistency and practice, you can turn it into one of your most rewarding optionals.