PPSC Syllabus for Mathematics Lecturer 2021 Sample Test Pattern

Punjab Higher Education Department has declared Jobs for Lecturer BS-17 of Mathematics. Online application of the eligible candidates are invited through Punjab Public Service Commission. Male and Female applicants are welcomed to apply for the offered jobs here. The Department of Higher Education has offered 180 vacancies for the Lecturer of Mathematics. There are 80 seats for female and 100 posts for male candidates available. Individuals should meet the eligibility criteria before applying for the given Lecturer BS-17 jobs. All the aspirants should visit this site to get complete details about PPSC Jobs of Lecturer BS-17 of Mathematics like Mathematics Test syllabus Marks details, interview questions, test preparation and further guidance.

PPSC Mathematics Lecturer Jobs Test Syllabus:

Mathematics syllabus is 80% consist of Mathematics subject while 20% paper consists of General Knowledge subjects. The total marks of the paper are 100 and the total time is 90 minutes.

SYLLABUS FOR THE SUBJECT OF MATHEMATICS
Paper I

Candidates will be asked to attempt three questions from Section A and two questions from section B.

Section A

Limits, Continuity, Differentiability and its Applications, General theorems (Rolle’s Theorem, Mean value theorem), Asymptotes, Applications of Maxima and Minima. Definite and Indefinite integrals and their Application, Quadrature, Rectification, Numerical methods of Integration (Trapezoidal and Simpson rule), Multiple integrals and their Applications. Areas and Volumes, Centre of Mass, Reimann-Stijles Integral, Ordinary Differential Equations (O.D.Eqs) and their Applications in Rectilinear motion and Growth/Decay problems. 2nd Order Differential Equations with Applications (Spring Mass and Simple Harmonic Oscillator Problems).

Section B

Sequences and Series, Convergence tests, Power Series, Radius and Interval of Convergence. Complex Analysis, Function of Complex Variable, Demoivre’s Theorem and its Application. Analytic Function, Singularities, Cauchy theorem, Cauchy Integral formula.
Conic Sections in Cartesian coordinates, Plane Polar Coordinates and their use to represent the straight line and Conic section. Vector equation for plane and space curves. Tangents and Normals and Binormals, Curvature and torsion, Serre Frenet’s Formula.

Recommended Books:

1. Anton, H, Calculus: A New Horizon, Ed. 6, John Willey, New York, 1999.

2. Thomas, G. B. Finney. A. R., Calculus, Ed. 9, John Willey, New York, 2005.

3. Yusuf, S.M. Amin. M., Calculus with Analytic Geometry, Ilmi Kitab Khana, Lahore.

4. Zill, D. G. , Cullen, M.R., Differential Equations with Boundary Value Problems, Ed. 3. PWS Publishing Co., 1997.

5. Abell, Braselton, Modem Differential Equations Ed. 2, Thomas Learning Inc. USA, 2001.

6. Curchill, R.V., Brawn J.W., Complex Variables and Applications, Ed. 5, McGraw Hill, New York, 1989.

7. Ghori, Q.K., Mechanics. Ilmi Kitab Khan, Lahore.

8. Weather burn, C.E., Differential Geometry, The English Languages Book Society and Cambridge Uni. Press. 1964.

9. Guggenheinerar, H.W., Differential Geometry, McGraw Hill, 1990.

Paper II

Section A

Groups: Definition and examples of Groups, Order of a Group, Order of an element of a Group, Abelian and non-Abelian Groups and Cyclic groups. Lagrange theorem and applications, Normal subgroups, Characteristic Subgroups of a group, Normalizer in a group, Centralizer in a group. Fundamental Theorem of Homomorphism, Isomorphism theorems of groups, Automorphisms
Rings, Fields and Vector Spaces: Examples of Rings, Subrings, Integral domains, Fields, Vector spaces, Linear independence/ dependence, Basis and dimension of finitely generated spaces, Examples of Field extension and finite fields, Examples of finite and infinite dimensional vector spaces.
Section B

Metric Spaces and Topological Spaces: Definition and Examples of Metric spaces and topological spaces, Closed and Open Spheres, Interior, Exterior and Frontier of a Set, Sequences in Metric Spaces, Convergence of Sequences. Definition and examples of Normed Spaces. Inner product spaces, Gram-Schmidt Process of Orthonormalization Matrices and Linear Algebra: Linear transformations, Matrices and their algebra, Reduction of matrices to Echelon and Reduced Echelon form. Solution of a system of homogenous and Non-Homogenous equations, Numerical methods of solving equations (Gauss-Siedal method, Jaccobi method) Properties of Determinants, Eigenvalues and Eigenvectors and the Diagonalization of the Symmetric Matrices.

Recommended Books:

1. Nicholson. W.K., Elementary Linear Algebra with Applications, Ed. 2, Prentice Hall, Englewood, USA.

2. Herstein, I.N., Topics in Algebra, John Willey and Sons (New York) 1964.

3. Rowen, L., Rings (I & II). Academic Press, Ins.

4. Dar, K.H., First Step to Abstract Algebra, Feroz Sons Publishers, Lahore (1996).

5. Yusuf, S.M., Majeed A., Amin. M., Mathematical Methods, Ilmi Kitab Khana, Lahore.

6. Atkinson, K. E., An Introduction to Numerical Analysis, Ed. 2 John Willey, New York, 1989.

7. Ahmad. F and Afzal. M, Numerical Analysis, National Book Foundation, Islamabad.

8. Simmons, F.J., Topology, McGraw Hill Company, New York.

9. Kreyszig, E., Introductory Functional Analysis with Applications, John Willey and Sons, New York, 1978.

10. Majeed, A. Elements of Topology and Functional Analysis, Ilmi Kitab Khana, Lahore.

Eligibility of Mathematics Lecturer Post:

• Master in Mathematics at least 2d division.
• Female age: 21-28 years age 08 years age relaxation.
• Male age: 21-28 years age 05 years age relaxation.
• Punjab Domicile.

Sample Paper:

MCQs:

PPSC Syllabus For Mathematics Lecturer 2021 Sample Test Pattern

Question’s Answers:

Guideline:

1. Candidates who are interested and want to apply they must read the guideline carefully.
2. To apply for the PPSC Lecturer Jobs aspirants must fulfill the required eligibility criteria.
3. After meeting the eligibility individuals open the PPSC online portal through this site.
4. First, you open the PPSC official website and click the Apply Online button.
5. A new page will appear on the screen. You can select the desired job in this form.
6. The application form will open on the screen you just fill the application form correctly and click the fill the application form.
7. On the next page, you have to upload the photograph and CNIC front and Back image.
8. The photographs must be the size of 25KB. Otherwite it will not be accepted.
9.  Attach you complete documents required in the application and click the Apply Online button.
10. Open the PPSC website and scroll down until you find the challan form.
11. Download the challan form and take print of it.
12. Fill the challan form and submit it to the designated bank.
13. Bank Draft or Pay Order or Cheque or any such instrument will not be accepted as fee by the Commission.
14. After submitting the challan fee you will get the Original Receipt which will be submitted at the time of interview/viva voce.
15. Medical Fitness Certificate issued by the Medical Superintendent District Head Quarters Hospital or Services Hospital is required.

Interview Questions:

Q: Tell me about yourself?

Q: Are you applying for other jobs?

Q: What experience do you have in this field?

Q: How would your friends and family describe you as a person?

Q: Why did you leave your last job?

Q: Tell me about your weaknesses?

Q: Why do you want to work for this organization?

Q: What do you know about this organization?

Q: What have you done to improve yourself in the last year?

Q: What kind of supervision brings out the best in you?