COMEDK UGET Mathematics Syllabus: Weightage, Best Books, Preparation

The Mathematics section is a crucial part of the COMEDK UGET (Undergraduate Entrance Test) for students hoping to get into engineering programs at private Karnataka colleges. A candidate's capacity for problem-solving, logical reasoning, and general mathematical competency will be evaluated in this section.

Classes 11 and 12 of the NCERT curriculum serve as the main basis for the syllabus, which covers a variety of subjects such as algebra, calculus, coordinate geometry, trigonometry, probability, and vectors. These subjects assess students' conceptual clarity as well as their capacity to use mathematical ideas in a time-sensitive manner. Performing well in the COMEDK UGET Mathematics section requires a solid grasp of the foundational ideas, regular practice, and efficient time management.

COMEDK UGET Maths Syllabus Overview

The COMEDK UGET is a competitive exam that demands focused preparation. Knowing the exact topics in the COMEDK UGET Maths Syllabus helps you:

• Allocate your time and resources more effectively.
• Focus on high-weightage chapters.
• Build a solid foundation in core concepts.
• Avoid spending time on irrelevant topics.

COMEDK UGET Maths Syllabus 2025: Topics and Chapters

Here is the full list of units and the chapters covered under each unit:

Units	Chapters
Differential Calculus	Polynomials, Rational, Trigonometric, Logarithmic, and Exponential Functions Inverse Functions Graphs of Simple Functions Limits Continuity: Differentiation of the Sum, Difference, Product, and Quotient of Two Functions Differentiation of Trigonometric, Inverse Trigonometric, Logarithmic, Exponential, Composite, and Implicit Functions, Derivatives of Order up to Two. Applications of Derivatives: Rate of Change of Quantities, Monotonic Increasing and Decreasing Functions, Maxima and Minimum Functions of One Variable, Tangents and Normals, Rolle’s and Lagrange’s Mean Value Theorems.
Circles	Standard Form of the Equation of a Circle General Form of Equation of a Circle, its radius, and center Equation of a Circle when the Endpoints of a Diameter are Given. Points of Intersection of a Line and a Circle with the Centre at the Origin and Conditions for a Line to be Tangent to the Circle Equation of the Tangent Equation of a Family of Circles through the Intersection of Two Circles Conditions for Two Intersecting Circles to be Orthogonal.
Matrices and Determinants	Determinants and Matrices of Order Two and Three Properties of Determinants Evaluation of Determinants Area of Triangles Using Determinants Addition and Multiplication of Matrices Adjoint and Inverse of a Matrix Test of Consistency and Solution of Similar Linear Equations using Determinants and Matrices.
Vector Algebra	Vectors and Scalars Addition of Vectors Components of a Vector in Two and Three-Dimensional Space Scalar and Vector Products Scalar and Vector Triple Product Application of Vectors to Plane Geometry
Differential Equations	Differential Equations, Ordinary Differential Equation – Their Order and Degree Formation of Differential Equations Solution of Differential Equations by the Method of Separation of Variables. Solution of Homogeneous and Linear Differential Equations and those of type d2y = f(x) dx2.
Three-Dimensional Geometry	Coordinates of a Point in Space Distance Between Two Points Section Formula Direction Ratios and Direction Cosines Angle between Two Intersecting Lines Skew Lines – The Shortest Distance between them and its Equation. Equations of a Line and a Plane in Different Forms: Intersection of a Line and a Plane, Coplanar Lines, Equation of a Sphere, Its Centre and Radius. Diameter form of the Equation of a Sphere.
Probability	Probability of an Event Addition and Multiplication Theorems of Probability and Their Application Conditional Probability: Bayes' Theorem Probability Distribution of a Random Variable Binomial and Poisson Distributions and Their Properties.

COMEDK UGET Maths Detailed Topic-Wise Explanation

1) Differential Calculus

This topic focuses on the behaviour and rate of change of mathematical functions. You'll encounter:

• Limits and Continuity
• Derivatives of algebraic, trigonometric, logarithmic, and exponential functions
• Applications: Rate of change, increasing/decreasing functions, maxima/minima, tangents and normals.

Weightage: 5 Questions

2) Circles

A fundamental chapter in coordinate geometry. This topic includes:

• Standard and General equations of circles
• Radius and centre calculations
• Tangents and lines intersecting circles
• Orthogonality conditions

Weightage: 4-5 Questions

3) Matrices and Determinants

An important algebraic section that strengthens problem-solving ability:

• Determinants (order 2 & 3)
• Matrix operations: Addition, multiplication
• Inverse and adjoint
• Applications to solve linear equations

Weightage: 3-4 Questions

4) Vector Algebra

Vectors are essential for 3D geometry and mechanics:

• Vector operations in 2D and 3D
• Dot product, cross product
• Scalar and vector triple product
• Geometrical applications in plane geometry

Weightage: 5-6 Questions

5) Differential Equations

You’ll explore how to model and solve dynamic systems using equations involving derivatives:

• Ordinary differential equations and their order/degree
• Formation of differential equations
• Separation of variables method
• Solutions of homogeneous and linear DEs

Weightage: 2-3 Questions

6) Three Dimensional Geometry

Used extensively in real-world applications:

• Coordinates and distances in 3D
• Direction ratios, direction cosines
• Line and plane equations
• Sphere equations and geometry

Weightage: 5 Questions

7) Probability

Mastering this topic requires understanding theory and application:

• Basic theorems (addition, multiplication)
• Conditional probability
• Bayes theorem
• Probability distributions: Binomial and Poisson

Weightage: 3-4 Questions

Preparation Tips for COMEDK UGET Mathematics

1) Start with Your Strengths, But Don’t Ignore Weaknesses

You probably have some math chapters you enjoy—maybe it’s calculus or coordinate geometry. Begin your prep with these. It builds confidence. But don’t keep running from the tough ones. Set aside time every week to tackle at least one topic you’ve always avoided.

2) Don’t Just Memorise—Create Your Own Formula Sheet

Everyone talks about revising formulas, but here’s a smarter twist: write them down in your own words. While studying, create a personalised formula sheet with notes, shortcuts, and even colour codes. When you write it yourself, you understand and remember better.

3) Mimic the Exam—Practice in 3-Hour Blocks

Many students solve questions topic-wise, but that doesn’t simulate exam stress. Twice a week, solve 60 math questions in a 3-hour setting—just like the actual COMEDK exam. This will train your brain for time management and help reduce anxiety on the big day.

4) Stop Studying Everything—Be Strategic with Syllabus

The COMEDK UGET Maths syllabus is wide, but not all chapters are equally important. For example, calculus and algebra carry more weight. Instead of treating all topics equally, prioritise those with higher marks and revise them more frequently.

5) Avoid Over-Reliance on Coaching Materials

Coaching institutes are helpful, but their material can sometimes be too advanced or off-syllabus. Always cross-check with the official COMEDK UGET Maths syllabus. Stick to it. Sometimes, the simplest NCERT problem holds more value than an overly complex one.

6) Turn Mistakes Into Mastery with a “Mistake Journal”

After every mock test or practice session, write down every mistake you make—not just the wrong answer, but why you got it wrong. This becomes your personal error bank. Revisiting it regularly helps ensure you never repeat the same mistake twice.

7) Use Topic Rotation for Better Retention

Instead of studying the same topic repeatedly for days, rotate between 2–3 different chapters every week. For instance, combine one calculus, one algebra, and one geometry topic. This variety improves focus and long-term retention.

8) Treat Past Papers Like Treasure Maps

Past COMEDK papers are gold. Don’t just solve them—analyze them. Note down which types of questions repeat, how formulas are applied, and what traps to avoid. Over time, you’ll notice patterns that can help you predict what’s coming next.

9) Let Technology Be Your Friend

Use digital flashcards (like Anki or Quizlet) to revise formulas and concepts on the go. Solve MCQs through apps that offer COMEDK-specific tests. But remember: screen time should be active learning, not passive scrolling.

10) Keep a Cool Head with the “Last 10-Day Plan”

The final 10 days before the exam should be all about smart revision, not cramming new topics. Focus on high-weightage chapters, revise formulas daily, and keep solving short 30-minute tests. Also, sleep well and eat light—your brain needs fuel to function.

Recommended Books for COMEDK UGET Maths Preparation

Here are the recommended books:

Book Title	Author/Publisher
Mathematics for Karnataka CET & COMEDK	BASE
Mathematics Vol I & II	R.D. Sharma
Algebra Made Easy	K.P. Basu
Mathematics for Karnataka CET & COMEDK	M.R. Hanumantharaya

Conclusion

The COMEDK UGET Maths Syllabus is extensive but manageable with the right planning and consistent effort. Focus more on high-weightage topics like vectors, 3D geometry, calculus, and conic sections. Keep revising concepts and practice as many problems as you can to build accuracy and speed. If you follow a structured approach and stick to the syllabus, scoring high in the mathematics section of COMEDK UGET 2025 is achievable.