CUET PG Crash Course – Mathematics (Complete Coaching & Mastery Program)
A premium, well-structured and deeply result-oriented preparation module designed to transform any learner into a confident, high-scoring CUET PG Mathematics aspirant.

1. Course Objective

To build a sharp conceptual foundation, accelerate problem-solving speed, strengthen theorem-based understanding, and systematically prepare students for the CUET PG Mathematics entrance with 100% clarity, high accuracy, and exam temperament.

2. What This Crash Course Offers

A complete one-stop solution — concept, practice, revision, analysis & testing.

A) Full Syllabus Coverage – Topic-wise, Layer-wise

Students don’t just learn the syllabus — they master it.

• Real Analysis (Limits, Continuity, Differentiability, Sequence–Series Convergence)

• Lebesgue & Improper Integrals (Approach, Proof style, Problems)

• Metric Spaces, Topology & Compactness (Tools for proof-based questions)

• Abstract Algebra (Group/ Ring/ Field theory with structural problem-sets)

• Linear Algebra (Diagonalization, Spectral Theorem, Vector Space Geometry)

• ODE+PDE (Boundary problems, Linear systems, Exact Equations, Cauchy form)

• Numerical Analysis (Interpolation, Roots, Errors, Newton–Raphson)

• Complex Analysis (Analyticity, Cauchy Integral, Laurent, Residue Calculus)

• Vector Calculus (Divergence, Green's, Stokes — exam-level solved sheets)

• Probability & Statistics (Distribution theory and mathematical expectation)

• Coordinate Geometry + Classical Calculus

Every module progresses from theory → solved examples → problem sets → test-type questions.

3. Study Plan & Weekly Workflow

Each student receives a guided system to ensure consistency & measurable improvement.

Learning StageWhat HappensConcept ClassesCore theory explained from zero to research-edge clarityIllustration SheetsFaculty-solved questions for technique-buildingDaily HomeworkPractice sets segregated by difficulty tierWeekly RevisionFlash recap + memory reinforcement drillsUnit-wise TestsSpeed-tracking + accuracy correctionMock ExamsReal exam-like pressure trainingDoubt Clearing SessionsMicroscopic doubt-resolution, no pending confusionFinal Full-Length RevisionCondensed formula+theorem capsule before exam

4. Why Students Prefer Us

Not just coaching. A performance-driven preparation ecosystem.

• Teacher-centric explanation rather than note-reading sessions

• Proof + intuition blended so concepts stay forever

• High-volume question practice with detailed decoding

• Shortcut methods + graphical visualizations for fast solving

• Individual progress monitoring & feedback

• Result-science approach — learn only what converts into marks

• Friendly teaching environment with academic discipline

• Mentorship for stress handling, time management & accuracy

5. Course Structure Segmented for Serious Preparation

1. Foundation Phase – Theory pillars, formulas, theorems decoded

2. Application Phase – Higher difficulty question drills

3. Rank-Refining Phase – Mock tests, elimination techniques, speed tricks

4. Final Booster Phase – Quick revision capsules + past pattern mastery

Every phase designed to push students from understanding → speed → top performance.

6. Study Material & Deliverables

• Full lecture modules + downloadable study notes

• Topic-wise exercise bank (basic to advanced levels)

• Formula Handbooks + Revision Blueprints

• Previous trends-focused question compilations

• Topic targets & performance improvement trackers

• Full-length mock exams with post-evaluation review

7. Outcome You Can Expect

• Concept clarity strong enough to handle toughest questions

• Drastic improvement in speed + retention of methods

• Confidence boost to attempt full paper with accuracy

• Reduced silly mistakes through pattern-trained strategy

• Exam-level thinking, required to clear CUET PG with excellence