A HPSC Assistant Professor Mathematics mock test from Toppersexam.com is a practice paper based on the latest exam pattern and syllabus, designed to help you assess your preparation level.
New Vacancy 2026
HPSC Assistant Professor Mathematics 2026 Notification, Online Form & Exam Date
HPSC Assistant Professor Mathematics Vacancy 2026 provides a golden opportunity for aspirants seeking stable government jobs. Interested candidates can apply online for the posts after verifying the official eligibility criteria, age limit, and educational qualifications. Ensure you track the application deadlines and stay updated with the latest HPSC Assistant Professor Mathematics 2026 recruitment news for a smooth registration process.
To crack the HPSC Assistant Professor Mathematics 2026 exam, understanding the detailed syllabus and exam pattern is mandatory. Aspirants should focus on strategic planning and rigorous time management for each selection phase. Boosting your speed through online mock tests and regular practice is the key to securing a high score in this competitive recruitment. For premium study material and practice sets, follow the expert curated resources on toppersexam.com.
To crack the HPSC Assistant Professor Mathematics 2026 exam, understanding the detailed syllabus and exam pattern is mandatory. Aspirants should focus on strategic planning and rigorous time management for each selection phase. Boosting your speed through online mock tests and regular practice is the key to securing a high score in this competitive recruitment. For premium study material and practice sets, follow the expert curated resources on toppersexam.com.
HPSC Assistant Professor Mathematics Free Mock Test
Crack the HPSC Assistant Professor Mathematics Mock Test 2026 with the help of an online Test series or a free mock test. Every sample paper in the HPSC Assistant Professor Mathematics Exam has a designated weight, so do not miss out on any paper. Prepare for the HPSC Assistant Professor Mathematics mock test and check your test scores.
HPSC Assistant Professor (Mathematics) Syllabus 2026, Exam Pattern
HPSC Assistant Professor (Mathematics) Syllabus 2026, Exam Pattern, Exam Date 2026
Detail Information about HPSC has published notification 2026 for the recruitment of Assistant Professor (Mathematics) vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
HPSC Assistant Professor Syllabus 2026 - Overview
| Organization Name | Haryana Public Service Commission (HPSC) |
| Name of the Post | Assistant Professor |
| No of Posts | Notified Soon |
| Category | Syllabus and Exam Pattern |
| Job Location | Haryana |
| Official Website | www.hpsc.gov.in |
HPSC Assistant Professor (Mathematics) Syllabus 2026
General Knowledge :
1. General Awareness
2. General mental ability & Reasoning
Mathematics
UNIT-I
Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum.
Sequences and series, convergence, limsup, liminf.
Bolzano Weierstrass theorem, Heine Borel theorem.
Continuity, uniform continuity, differentiability, mean value theorem.
Sequences and series of functions, uniform convergence.
Riemann sums and Riemann integral, Improper Integrals.
Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral.
Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.
Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions as examples.
Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations.
Algebra of matrices, rank and determinant of matrices, linear equations.
Eigenvalues and eigenvectors, Cayley-Hamilton theorem.
Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms.
Inner product spaces, orthonormal basis.
Quadratic forms, reduction and classification of quadratic forms
UNIT-2
Complex Analysis: Algebra of complex numbers, the complex plane, polynomials, power series, transcendental functions such as exponential, trigonometric and hyperbolic functions.
Analytic functions, Cauchy-Riemann equations.
Contour integral, Cauchy's theorem, Cauchy's integral formula, Liouville's theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem.
Taylor series, Laurent series, calculus of residues.
Conformal mappings, Mobius transformations.
Algebra: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements.
Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler's - function, primitive roots.
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley's theorem, class equations, Sylow theorems.
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain.
Polynomial rings and irreducibility criteria.
Fields, finite fields, field extensions, Galois Theory.
Topology: basis, dense sets, subspace and product topology, separation axioms, connectedness and compactness.
UNIT-3
Ordinary Differential Equations (ODES):
Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs.
General theory of homogenous and non-homogeneous linear ODEs, variation of parameters, Sturm-Liouville boundary value problem, Green's function.
Partial Differential Equations (PDEs):
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs.
Classification of second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations.
Numerical Analysis:
Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method, Rate of convergence, Solution of systems of linear algebraic equations using Gauss elimination and Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline interpolation, Numerical differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and Runge-Kutta methods.
Calculus of Variations:
Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations.
Linear Integral Equations:
Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel.
Classical Mechanics:
Generalized coordinates, Lagrange's equations, Hamilton's canonical equations, Hamilton's principle and principle of least action, Two-dimensional motion of rigid bodies, Euler's dynamical equations for the motion of a rigid body about an axis, theory of small oscillations.
UNIT - 4
Descriptive statistics, exploratory data analysis
Sample space, discrete probability, independent events, Bayes theorem. Random variables and distribution functions (univariate and multivariate); expectation and moments. Independent random variables, marginal and conditional distributions. Characteristic functions. Probability inequalities (Tchebyshef, Markov, Jensen). Modes of convergence, weak and strong laws of large numbers, Central Limit theorems (i.i.d. case).
Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson and birth-and-death processes.
Standard discrete and continuous univariate distributions. sampling distributions, standard errors and asymptotic distributions, distribution of order statistics and range.
Methods of estimation, properties of estimators, confidence intervals. Tests of hypotheses: most powerful and uniformly most powerful tests, likelihood ratio tests. Analysis of discrete data and chi-square test of goodness of fit. Large sample tests.
Simple nonparametric tests for one and two sample problems, rank correlation and test for independence. Elementary Bayesian inference.
Gauss-Markov models, estimability of parameters, best linear unbiased estimators, confidence intervals, tests for linear hypotheses. Analysis of variance and covariance. Fixed, random and mixed effects models. Simple and multiple linear regression. Elementary regression diagnostics. Logistic regression.
Multivariate normal distribution, Wishart distribution and their properties. Distribution of quadratic forms. Inference for parameters, partial and multiple correlation coefficients and related tests. Data reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis, Canonical correlation.
HPSC Assistant Professor (Mathematics) Exam Pattern 2026
(Screening Test)Duration : 120 Minutes
Negative Marking : 0.25
Language : English
| S.No | Subject | No.of Question | Marks |
| 1. | Mathematics | 90 | 90 |
| 2. | General Awareness, General Mental ability & Reasoning | 10 | 10 |
| Total | 100 | 100 |
Subject Knowledge Test (Descriptive) :
Duration: 3 Hours
| S.No | Subject | Marks | Duration |
| 1 | Mathematics | 150 | 03 Hour |
| Total | 150 | 03 Hour |
Interview:
Mode: Oral
Marking Scheme:
Weightage: 12.5% of final score
Exam Date 2026 : Notified Soon
Strating Date of Application Form : Notified Soon
Last Date of Application Form : Notified Soon
Strating Date of Application Form : Notified Soon
Last Date of Application Form : Notified Soon
HPSC Assistant Professor (Mathematics) Exam Free Online Test Series
Crack HPSC Assistant Professor (Mathematics) exam 2026 with the help of Online Test Series or Free Mock Test. Every Sample Paper in HPSC Exam has a designated weightage so do not miss out any Paper. Preprare and Practice Mock for HPSC Assistant Professor exam and check your test scores.
HPSC Assistant Professor Mathematics Exam Free Online Question Bank
HPSC Assistant Professor Mathematics question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free HPSC Assistant Professor Mathematics exam preparation.
Combo Offers
HPSC Assistant Professor Mathematics Combo Packages
We Launches Combo Offers ! with Heavy Discount and Cost Saving Prices. Combo Packages includes - Online Mock Test Series + Important Questions or MCQs + Previous Year Papers with Answer.
Combo Package
HPSC Assistant Professor Mathematics
Combo - 1 Screening Test (Hindi)
1. Online Mock Test Series in Hindi = 10 Tests.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹201₹231
Combo Package
HPSC Assistant Professor Mathematics
Combo - 2 Screening Test (Hindi)
1. Online Mock Test Series in Hindi = 19 Tests.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
4. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹281₹311
Combo Package
HPSC Assistant Professor Mathematics
Combo - 3 Screening Test (English)
1. Online Mock Test Series in English = 10 Tests.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹201₹231
Combo Package
HPSC Assistant Professor Mathematics
Combo - 4 Screening Test (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. 1500 (+) Current Affairs MCQ with Answer PDF in English.
4. 1000 (+) GK MCQ with Answer PDF Book in English.
₹281₹311
Combo Package
HPSC Assistant Professor Mathematics
Combo - 5 Screening Test (Hindi)
1. Online Mock Test Series in Hindi = 19 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
5. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹701₹761
Combo Package
HPSC Assistant Professor Mathematics
Combo - 6 Screening Test (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
₹701₹761
Combo Package
HPSC Assistant Professor Mathematics
Combo - 7 Screening Test (Hindi)
1. Online Mock Test Series in Hindi = 19 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook HPSC Assistant Professor Mathematics (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook HPSC Assistant Professor Mathematics (1000 MCQ) PDF Format in Hindi.
5. 1500 (+) Current Affairs MCQ with Answer PDF in Hindi.
6. 1000 (+) GK MCQ with Answer PDF Book in Hindi.
₹801₹961
Combo Package
HPSC Assistant Professor Mathematics
Combo - 8 Screening Test (English)
1. Online Mock Test Series in English = 20 Tests.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook HPSC Assistant Professor Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 2000 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. EBook HPSC Assistant Professor Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
₹801₹961
FAQs
Hpsc Assistant Professor (mathematics) 2026 Free Mock Test Frequently Asked Questions (FAQ's)
You can find and practice free mock tests for the HPSC Assistant Professor Mathematics exam on the Toppersexam.com portal.
Mock tests are very powerful tool for exam preparation. They help students develop confidence, manage time effectively and improves accuracy to prepare better for HPSC Assistant Professor Mathematics.
You can find a free online mock test for the HPSC Assistant Professor Mathematics on toppersexam.com. By taking frequent online mock tests students can monitor there progress and create a study plan according to the needs.
You can take mock test online for HPSC Assistant Professor Mathematics to know the CBT (computer based test) format of the main exam. You will get latest exam pattern, updated syllabus and type of questions asked in the actual exam.
Mock tests are practice exams to prepare the students for the final one. Taking mock test regularly helps students to improve time management skills and boost confidence.
Students can find a free mock test for HPSC Assistant Professor Mathematics only at toppersexam. Get free online mock test to experience the actual exam format is important to reduce anxiety and improves your confidence.
Advantages of online mock tests are immediate results, accessibility and time management. Sample papers and mock tests are remarkable tools to track students performance and change your study plan according to your weakness.
Free online mock test can improve your score by making you exam ready before the final exam. It is a excellent way to know the exam pattern and identify your weakness for the HPSC Assistant Professor Mathematics.
Toppersexam free online mock test are designed by subject experts to provide the best preparation for HPSC Assistant Professor Mathematics. The questions asked are exactly like the ones which are asked in the actual exam.
Students should practice more and more online mock test for HPSC Assistant Professor Mathematics to evaluate their performance, detect weaknesses, and improve time management without any cost.
Current affairs and general knowledge mock test are important ways to increase knowledge to stay updated about the recent news and events. Regular practicing with current affairs mock test helps students to prepare better for general awareness section for the final exam.
User Reviews