Chapter 3 (Differentiation) FSc Part 2 Math

Level: F.Sc (Pre-Engg)
Class: 2nd Year
Board: Punjab Textbook Board
Subject: Mathematics
Total Exercises: 8
Type: Notes

TITLESOLUTION
Exercise 3.1View
Exercise 3.2 View
Exercise 3.3 View
Exercise 3.4 View
Exercise 3.5 View
Exercise 3.6 View
Exercise 3.7 View
Exercise 3.8 View

In this chapter we will read these topics:

  • What is the differential of a function f(x) and what is the differential coefficient?
  • What is the difference between delta(y) and dy?
  • Use differential to find approximate value.
  • Find the approximate increase in the volume of a cube of the length its each edge changes from 5 to 5.02.
  • Find the approximate increase in the area of a circular disc if its diameter is increased from 44com to 44.4.
  • Define integration.
  • Some basic tips for integration.
  • Define the indefinite integral.
  • Write two theorems on anti-derivatives.
  • Some basic formulae.
  • Evaluate the problems.
  • Write a note on integration by substitution.
  • Write some important trigonometric substitutions.
  • Integration by parts.
  • Integration by partial fractions.
  • When denominator contains non-repeated linear factors.
  • When denominator contains repeated linear factors.
  • When denominator contains non-repeated irreducible quadratic factors.
  • Define definite integral.
  • Define the fundamental theorem of integral calculus.
  • Area under the curve.
  • Find the area bounded by the curve.
  • Find the area between the x-axis and the curve.
  • Define the differential equations.
  • Define the order of a differential equation.
  • Define the degree of a differential equation.
  • Define solution of a differential equation.
  • Define general solution of a differential eqaution.
  • Define particular solution of a differential equation.
  • How many constants are involved in general solution of first-order differential equation.
  • How many constants are involved in general solution of nth order.
  • Solve the following differential equations.

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