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Applied Mathematics
Syllabus & Course Outline (FPSC 2026)
100Marks
18Code
Official Syllabus Content
The syllabus for Applied Mathematics is designed to test the candidate's comprehensive understanding of the subject.
Section 1I. Vector Calculus
Vector algebra; scalar and vector products; gradient; line, surface and volume integrals.
Section 2II. Statics
Composition and resolution of forces; parallel forces; equilibrium; centre of mass.
Section 3III. Dynamics
Motion in a straight line; simple harmonic motion; conservative forces; planetary orbits.
Section 4IV. Ordinary differential equations
Section 5V. Fourier series and partial differential equations
Section 6VI. Numerical Methods
Suggested Readings
1.
An Introduction to Vector Analysis Khalid Latif,
2.
Introduction to Mechanics Q.K. Ghori
3.
An Intermediate Course in Theoretical Mechanics Khalid Latif,
4.
Differential Equations with Boundary Value Problems D. G. Zill and M. R. Cullen
5.
Elementary Differential Equations E.D. Rainville, P.E. Bedient and R.E. Bedient
6.
Introduction to Ordinary Differential Equations A.L.Rabenstein
7.
Advanced Engineering Mathematics E. Kreyszig
8.
An Introduction to Numerical Analysis Mohammad Iqbal
9.
Numerical Analysis R.L Burden and J.D Faires
10.
Elements of Numerical Analysis F. Ahmad and M.A Rana
11.
Mathematical Methods S. M. Yousaf, Abdul Majeed and Muhammad Amin