Mathematics Study Plan for CUET-UG

Overview

This comprehensive 12-week study plan is designed to help you master CUET Mathematics systematically. The plan covers Algebra, Calculus, Geometry, and Statistics with integrated practice materials, quizzes, and milestone assessments.

Study Plan Structure

Total Duration: 12 Weeks

• Week 1-3: Algebra (Foundation and Core Concepts)
• Week 4-6: Calculus (Differential and Integral)
• Week 7-8: Geometry and Vectors
• Week 9: Statistics and Probability
• Week 10-12: Revision and Mock Tests

Week 1: Algebra - Matrices and Determinants

Topics Covered

• Matrices - Basic Operations
• Determinants
• Inverse of Matrices
• Applications of Matrices

Study Materials

• Primary Guides:
  • How to Prepare for Algebra for CUET-UG

Daily Schedule

• Day 1-2: Matrices - Basic Operations

  • Focus on: Matrix types, addition, multiplication, scalar multiplication
  • Practice: Matrix operations, properties
  • Time: 3-4 hours

• Day 3-4: Determinants

  • Focus on: Properties, expansion methods, cofactors
  • Practice: Determinant calculations, properties application
  • Time: 3-4 hours

• Day 5-6: Inverse of Matrices and Applications

  • Focus on: Adjoint, inverse methods, system of equations
  • Practice: Matrix inverse, solving linear equations
  • Time: 4-5 hours

• Day 7: Weekly Assessment

  • Focus on: Matrix applications and problem solving
  • Assessment: Mathematics Quizzes
  • Time: 3 hours

🧮 Master Plane Through Practice

Excellent progress on Plane! Time to test your mathematical understanding:

📊 Plane Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete 35 practice problems
• Score 80%+ in Matrices and Determinants Quiz
• Master matrix operations and applications

Week 2: Algebra - Relations, Functions, and Inequalities

Topics Covered

• Relations and Functions
• Types of Functions
• Inverse Functions
• Linear Inequalities

Daily Schedule

• Day 1-2: Relations and Functions

  • Focus on: Domain, range, types of relations, function notation
  • Practice: Function problems, domain/range calculations
  • Time: 3-4 hours

• Day 3-4: Types of Functions and Inverse Functions

  • Focus on: One-to-one, onto functions, inverse functions
  • Practice: Function composition, inverse finding
  • Time: 3-4 hours

• Day 5-6: Linear Inequalities

  • Focus on: Solving inequalities, graphical representation
  • Practice: Inequality solving, graphing
  • Time: 4-5 hours

• Day 7: Weekly Assessment

  • Focus on: Function analysis and inequality solving
  • Assessment: Functions and Inequalities Quiz
  • Time: 3 hours

Weekly Milestone

• Complete 30 practice problems
• Score 75%+ in Functions Assessment
• Master function concepts and inequality solving

Week 3: Algebra - Sequences, Series, and Binomial Theorem

Topics Covered

• Arithmetic Progressions
• Geometric Progressions
• Special Series
• Binomial Theorem

🧮 Master Limits and Continuity Through Practice

Excellent progress on Limits and Continuity! Time to test your mathematical understanding:

📊 Limits and Continuity Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Study Materials

• Primary Guides:
  • How to Prepare for Sequences and Progressions for CUET-UG

Daily Schedule

• Day 1-2: Arithmetic Progressions

  • Focus on: nth term, sum of n terms, properties
  • Practice: AP problems, applications
  • Time: 3-4 hours

• Day 3-4: Geometric Progressions

  • Focus on: nth term, sum, infinite GP, applications
  • Practice: GP problems, compound interest applications
  • Time: 3-4 hours

• Day 5-6: Special Series and Binomial Theorem

  • Focus on: Sum of series, binomial expansion, applications
  • Practice: Series problems, binomial theorem applications
  • Time: 4-5 hours

• Day 7: Algebra Comprehensive Test

  • Focus: All algebra topics covered so far
  • Assessment: Complete Algebra Test
  • Time: 3 hours

Weekly Milestone

• Complete algebra syllabus
• Score 70%+ in comprehensive algebra test
• Master sequences, series, and binomial theorem

Week 4: Calculus - Limits and Continuity

Topics Covered

• Limits
• Continuity
• Differentiability
• L’Hospital’s Rule

Study Materials

• Primary Guides:
  • How to Prepare for Calculus for CUET-UG

Daily Schedule

• Day 1-2: Limits

  • Focus on: Limit definition, evaluation methods, indeterminate forms
  • Practice: Limit evaluation, left/right limits
  • Time: 4-5 hours

• Day 3-4: Continuity

  • Focus on: Continuity definition, types, intermediate value theorem
  • Practice: Continuity checking, discontinuity analysis

🧮 Master Series Through Practice

Excellent progress on Series! Time to test your mathematical understanding:

📊 Series Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete 35 calculus problems
• Score 75%+ in Limits and Continuity Assessment
• Master limit evaluation techniques

Week 5: Calculus - Differential Calculus

Topics Covered

• Derivatives - Basic Rules
• Chain Rule and Product Rule
• Applications of Derivatives
• Maxima and Minima

Daily Schedule

• Day 1-2: Basic Differentiation Rules

  • Focus on: Power rule, product rule, quotient rule, chain rule
  • Practice: Differentiation of various functions
  • Time: 4-5 hours

• Day 3-4: Advanced Differentiation

  • Focus on: Implicit differentiation, logarithmic differentiation
  • Practice: Complex differentiation problems
  • Time: 4-5 hours

• Day 5-6: Applications of Derivatives

  • Focus on: Rate of change, increasing/decreasing functions
  • Practice: Application problems, curve sketching
  • Time: 4-5 hours

• Day 7: Weekly Assessment

  • Focus: Differentiation applications
  • Assessment: Differential Calculus Quiz
  • Time: 3 hours

Weekly Milestone

• Complete 40 differentiation problems
• Score 75%+ in Differential Calculus Assessment
• Master differentiation techniques

🧮 Master Differentiation Through Practice

Excellent progress on Differentiation! Time to test your mathematical understanding:

📊 Differentiation Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Week 6: Calculus - Integral Calculus

Topics Covered

• Indefinite Integration
• Definite Integration
• Integration by Parts
• Applications of Integration

Daily Schedule

• Day 1-2: Indefinite Integration

  • Focus on: Basic integration, substitution method
  • Practice: Integration of various functions
  • Time: 4-5 hours

• Day 3-4: Definite Integration

  • Focus on: Definite integrals, properties, fundamental theorem
  • Practice: Definite integral calculations
  • Time: 4-5 hours

• Day 5-6: Integration by Parts and Applications

  • Focus on: Integration techniques, area under curves
  • Practice: Integration by parts, area calculations
  • Time: 4-5 hours

• Day 7: Calculus Comprehensive Test

  • Focus: All calculus topics
  • Assessment: Complete Calculus Test
  • Time: 3 hours

Weekly Milestone

• Complete calculus syllabus
• Score 70%+ in comprehensive calculus test
• Master integration techniques

Week 7: Geometry - Coordinate Geometry

Topics Covered

• Straight Lines
• Conic Sections - Parabola
• Conic Sections - Ellipse and Hyperbola
• Three-Dimensional Geometry Basics

Study Materials

• Primary Guides:
  • How to Prepare for Coordinate Geometry for CUET-UG

Daily Schedule

🧮 Master Straight Line Through Practice

Excellent progress on Straight Line! Time to test your mathematical understanding:

📊 Straight Line Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete 30 geometry problems
• Score 75%+ in Coordinate Geometry Assessment
• Master conic section properties

Week 8: Geometry - Vectors and 3D Geometry

Topics Covered

• Vector Algebra
• Three-Dimensional Geometry
• Plane and Line Equations
• Vector Applications

Study Materials

• Primary Guides:
  • How to Prepare for Vectors and 3D Geometry for CUET-UG

Daily Schedule

• Day 1-3: Vector Algebra

  • Focus on: Vector operations, dot product, cross product
  • Practice: Vector calculations, applications
  • Time: 4-5 hours

• Day 4-6: Three-Dimensional Geometry

  • Focus on: Direction cosines, plane equations, line equations
  • Practice: 3D geometry problems, distance calculations
  • Time: 4-5 hours

🧮 Master Hyperbola Through Practice

Excellent progress on Hyperbola! Time to test your mathematical understanding:

📊 Hyperbola Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete geometry syllabus
• Score 70%+ in comprehensive geometry test
• Master vector operations and 3D geometry

Week 9: Statistics and Probability

Topics Covered

• Measures of Central Tendency
• Measures of Dispersion
• Probability Theory
• Probability Distributions

Study Materials

• Primary Guides:
  • How to Prepare for Probability and Statistics for CUET-UG

Daily Schedule

• Day 1-2: Measures of Central Tendency and Dispersion

  • Focus on: Mean, median, mode, variance, standard deviation
  • Practice: Statistical calculations, data analysis
  • Time: 3-4 hours

• Day 3-4: Probability Theory

  • Focus on: Basic probability, conditional probability, Bayes’ theorem
  • Practice: Probability calculations, word problems
  • Time: 3-4 hours

• Day 5-6: Probability Distributions

  • Focus on: Binomial distribution, normal distribution basics
  • Practice: Distribution problems, applications
  • Time: 4-5 hours

• Day 7: Statistics and Probability Assessment

  • Focus: Statistical analysis and probability applications
  • Assessment: Statistics and Probability Quiz
  • Time: 3 hours

Weekly Milestone

• Complete 30 statistics and probability problems
• Score 75%+ in assessment
• Master probability calculations

Week 10: Additional Topics and Integration

🧮 Master Differentiation and Applications Through Practice

Excellent progress on Differentiation and Applications! Time to test your mathematical understanding:

📊 Differentiation and Applications Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Topics Covered

• Mathematical Reasoning
• Linear Programming
• Differential Equations Basics
• Mixed Problem Solving

Study Materials

• Primary Guides:
  • How to Prepare for Mathematical Reasoning for CUET-UG
  • How to Prepare for Linear Programming for CUET-UG
  • How to Prepare for Differential Equations for CUET-UG

Daily Schedule

• Day 1-2: Mathematical Reasoning

  • Focus on: Logical statements, implications, validity
  • Practice: Reasoning problems, logical analysis
  • Time: 3-4 hours

• Day 3-4: Linear Programming

  • Focus on: Graphical method, optimization problems
  • Practice: LPP formulation and solving
  • Time: 3-4 hours

• Day 5-6: Differential Equations Basics

  • Focus on: First-order equations, variable separable
  • Practice: Solving differential equations
  • Time: 4-5 hours

• Day 7: Additional Topics Assessment

  • Focus: Application of all topics
  • Assessment: Additional Topics Quiz
  • Time: 3 hours

Weekly Milestone

• Complete additional mathematics topics
• Score 70%+ in assessment
• Master reasoning and optimization

Week 11: Comprehensive Revision and Practice

Focus Areas

• Weak topic identification and improvement
• Formula revision
• Problem-solving techniques
• Time management practice

Daily Schedule

🧮 Master Conic Through Practice

Excellent progress on Conic! Time to test your mathematical understanding:

📊 Conic Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete full syllabus revision
• Score 70%+ in mock test
• Identify final improvement areas

Week 12: Final Preparation and Assessment

Focus Areas

• Final mock tests
• Error analysis
• Exam strategy
• Confidence building

Daily Schedule

• Day 1-2: Mock Test 1 and Analysis

  • Complete full-length mock test
  • Analyze errors and weak areas
  • Time: 4-5 hours

• Day 3-4: Mock Test 2 and Improvement

  • Second mock test with time management focus
  • Work on identified weak areas
  • Time: 4-5 hours

• Day 5-6: Final Revision and Formula Review

  • Quick review of all important formulas
  • Practice high-frequency question types
  • Time: 3-4 hours

• Day 7: Relax and Mental Preparation

  • Light revision only
  • Mental preparation for exam
  • Time: 2 hours

🧮 Master Determinant Through Practice

Excellent progress on Determinant! Time to test your mathematical understanding:

📊 Determinant Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Weekly Milestone

• Complete 2 full-length mock tests
• Achieve target score (80%+)
• Build exam confidence

Assessment Strategy

Weekly Assessments

• Topic-specific quizzes: Every Sunday
• Problem sets: 25-40 problems per week
• Concept checks: Quick 15-minute daily reviews

Milestone Assessments

• Section tests: Weeks 3, 6, 8
• Full mock tests: Weeks 11, 12
• Target scores: Progressive improvement from 60% to 80%+

Performance Tracking

• Maintain a mathematics formula journal
• Track problem completion and accuracy
• Monitor time spent per topic
• Regular self-assessment and adjustment

Resource Integration

Primary Resources

• Preparation Guides: Subject-specific guides linked throughout
• Practice Quizzes: Regular assessment through Mathematics Quizzes
• Formula Sheets: CUET Formula Sheets
• Mock Tests: CUET Mock Tests

Additional Resources

• Previous year question papers
• Graphing calculator tutorials
• Mathematical visualization tools
• Problem-solving strategy guides

Time Allocation Recommendations

Daily Study Schedule

• Weekdays: 3-4 hours of focused study
• Weekends: 5-6 hours with assessments
• Break intervals: 15 minutes every 2 hours

Topic Priority

• High Priority: Calculus and Algebra (60% of time)
• Medium Priority: Geometry and Statistics (40% of time)
• Additional Topics: As needed based on individual requirements

🧮 Master Ellipse Through Practice

Excellent progress on Ellipse! Time to test your mathematical understanding:

📊 Ellipse Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

Exam Strategy

• Section-wise approach: Focus on high-weightage topics first
• Time management: 1.5 minutes per question average
• Negative marking: Skip uncertain questions
• Review strategy: Mark questions for review if time permits

Success Metrics

Completion Criteria

• ✅ Complete all weekly assignments
• ✅ Score 80%+ in weekly assessments
• ✅ Master 95% of mathematical formulas and concepts
• ✅ Complete 300+ practice problems
• ✅ Score 75%+ in final mock tests

Adaptation Guidelines

• Adjust pace based on personal learning speed
• Spend extra time on calculus and algebra
• Use weekends for catching up if needed
• Modify schedule based on mock test performance

This study plan provides a structured approach to CUET Mathematics preparation with integrated resources and regular assessments. Follow the schedule consistently and adjust based on your progress and learning needs.

Quick Navigation

• Mathematics Overview: Mathematics Study Materials
• Preparation Guides: Mathematics Guides
• Practice Quizzes: Mathematics Quizzes
• Formula Sheets: CUET Formula Sheets
• Mock Tests: CUET Mock Tests

🧮 Master Continuity Through Practice

Excellent progress on Continuity! Time to test your mathematical understanding:

📊 Continuity Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

🧮 Master Sequences and Series Through Practice

Excellent progress on Sequences and Series! Time to test your mathematical understanding:

📊 Sequences and Series Assessment Test

• Progressive difficulty from basic to advanced
• Application-based problems
• Step-by-step solution explanations

Practice Strategy:

1. Solve without time pressure first
2. Review all solution methods
3. Retest to improve speed and accuracy

Success Metric: 85%+ accuracy with reasonable solving time

Key Focus: Understanding the ‘why’ behind each mathematical step

🏆 Subject Mastery Assessment

Congratulations on completing the Mathematics syllabus! Time for comprehensive evaluation:

🎯 Full Mathematics Mock Test Series

• Multiple difficulty levels (Easy → Medium → Hard)
• Previous year question patterns
• Time management practice

Recommended Approach:

1. Start with Foundation Test (if available)
2. Progress to Comprehensive Tests
3. End with Challenge Tests

Track Your Progress: Use the Mock Test Analysis Template

🏆 Subject Mastery Assessment

Congratulations on completing the Mathematics syllabus! Time for comprehensive evaluation:

🎯 Full Mathematics Mock Test Series

• Multiple difficulty levels (Easy → Medium → Hard)
• Previous year question patterns
• Time management practice

Recommended Approach:

1. Start with Foundation Test (if available)
2. Progress to Comprehensive Tests
3. End with Challenge Tests

Track Your Progress: Use the Mock Test Analysis Template