Online Maths Tuition Karachi, 03362023305,Maths tutor, Karachi Maths teacher, bsc maths tuition karachi, online maths tuition, online maths tutors,Home Maths Tuition Karachi, 03362023305, Maths tutor, Karachi maths teachers, bsc maths tuition karachi, online maths tuition, online maths tutors. MATHEMATICS, MATHS Tuition, 03362023305, Metric/Inter Science/B.Sc/M.SC Maths, MATHEMATICS, Karachi Maths tutor/tuition/teacher, online maths tutor, online bsc maths, crash bsc maths classes, A level Maths tutor, O level MATHS TUITION AVAILABLE, HOME B.Sc MATHEMATICS/MATHS tutoring, Online MATHEMATICS/MATHS Tutoring BA, Home Tuition B.Sc MATHS, B.com MATHEMATICS, MATHS, bsc MATHEMATICS, MATHS, MA MATHEMATICS, MATHS, ACCA MATHEMATICS/MATHS, ca MATHEMATICS/MATHS,mphil MATHEMATICS/MATHS, phd MATHEMATICS/MATHS.

MATHEMATICS/MATHS, b.a MATHEMATICS/MATHS, bcom MATHEMATICS/MATHS,karachi home tuition MATHEMATICS/MATHS, online tuition MATHEMATICS/MATHS,online
maths tutor, online bsc maths, crash bsc maths classes, A level Maths tutor, O level MATHS TUITION AVAILABLE,private tuition MATHEMATICS, MATHS, skype MATHEMATICS, MATHS tutor, online MATHEMATICS/MATHS tutor, home MATHEMATICS/MATHS tutor, MATHEMATICS/MATHS teacher, karachi Maths home tutors.
MATHS Tuition, 03362023305, Metric/Inter Science/B.Sc/M.SC MATHEMATICS/MATHS, MATHEMATICS/MATHS TUITION AVAILABLE, HOME B.Sc MATHEMATICS/MATHS tutoring,online maths tutor, online bsc maths, crash bsc maths classes Online MATHEMATICS/MATHS Tutoring BA, A level Maths tutor,O level MATHS TUITION AVAILABLE, Home Tuition B.Sc MATHEMATICS/MATHS, B.com MATHEMATICS/MATHS,bsc MATHEMATICS, MATHS, MA MATHEMATICS, MATHS, ACCA MATHEMATICS, MATHS, ca MATHEMATICS, MATHS, mphil MATHEMATICS, MATHS, phd MATHEMATICS, MATHS.

We provide highly educated, professional professional MATHEMATICS/MATHS professors, lecturers MATHEMATICS/MATHS, teacher MATHEMATICS/MATHS, ba MATHEMATICS/MATHS, A level Maths tutor, O level MATHS TUITION AVAILABLE, bcom MATHEMATICS, MATHS, Karachi home tuition MATHEMATICS/MATHS, online tuition (MATHS), private tuition (MATHS), skype MATHS tutor, online MATHS tutor, home MATHS tutor, MATHEMATICS MATHS teacher, Karachihome tutors.

 The Course of Calculus:

1. Differential Calculus:
Bounds, Limits and continuity, properties of continuous functions, Derivatives, Leibniz'sTheorem, Rolles Theorem Lagrange's Mean Value Theorem, Cauchy's Mean Value Theorem, Generalized Mean value theorem, indeterminate forms, Taylor's and Maclaurin's series.
2. Intergral Calculus:
Antiderivatives Techniques of Intergration, Riemann Integral, Properties of definite Integrals, Mean value theorem, Reduction formulae Improper Integrals, Beta and Gamma Integrals.
3. Fourier Series:
Periodic function, periodic extensions, even and odd functions, Fourier coefficients. Expansion of functions in Fourier series. Functions with arbitrary periods. Fourier sine and cosine series

4. Differential Equations: I. Differential equations, formation and solutions, equations of first order, Initial and boundary value problems. Various methods for solving first order differential equations. Orthogonal trajectories. Non-linear first order differential equations, Envelopes and singular solutions.  
 
5. Differential Equations: II. Higher order differential equations with constant coefficients, Superposition of solution. Cauchy-Euler's equations System of two first order linear homogenous equations. Non-Linear equation discussed with the help of population growth