Mathematics 2nd Year All Chapter Notes | Math FSc Part 2
“Class 12 Mathematics Notes”
Mathematics-XII (Punjab Text Book Board, Lahore)
Level: F.Sc (Pre-Engg)Class: 2nd YearBoard: Punjab Textbook BoardSubject: MathematicsTotal Exercises: 10Type: Notes TITLE SOLUTION Exercise 2.1 View Exercise 2.2 View Exercise 2.3 View Exercise 2.4 View Exercise 2.5 View Exercise 2.6 View Exercise 2.7 View Exercise 2.8 View Exercise 2.9 View Exercise 2.10 View In this chapter we will read these topics: Name the mathematicians.
- In this online lecture,Muhammad Naveed Jaffar explains FSC part 2 Mathematics Chapter 3 Integration.The topic being discussed is Topic Exercise 3.1 Question.
- 2nd year Math chapter 5 notes are being uploaded here. Math part 2 chapter no. 5: Linear Inequalities and Linear Programming notes are in Wednesday, November 25 2020.
These Mathematics-XII FSc Part 2 (2nd year) Notes are according to “Punjab Text Book Board, Lahore”. Very helpful notes for the students of 2nd year to prepare their paper of Maths according to syllabus given by Federal Board of Intermediate and Secondary Education (FBISE), Faisalabad Board, Multan Board, Sargodha Board, DG Khan Board, Gujranwala Board, Rawalpindi Board or others board of Punjab, Pakistan. These 12 Class Math Notes are obtained from mathcity.org.
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Chapter # 1 Functions and Limits
Exercise 1.1 | View Online | Download PDF |
Exercise 1.2 | View Online | Download PDF |
Exercise 1.3 | View Online | Download PDF |
Exercise 1.4 | View Online | Download PDF |
Exercise 1.5 | View Online | Download PDF |
Chapter # 2 Differentiation
Exercise 2.1 | View Online | Download PDF |
Exercise 2.2 | View Online | Download PDF |
Exercise 2.3 | View Online | Download PDF |
Exercise 2.4 | View Online | Download PDF |
Exercise 2.5 | View Online | Download PDF |
Exercise 2.6 | View Online | Download PDF |
Exercise 2.7 | View Online | Download PDF |
Exercise 2.8 | View Online | Download PDF |
Exercise 2.9 | View Online | Download PDF |
Exercise 2.10 | View Online | Download PDF |
Chapter # 3 Integration
Exercise 3.1 | View Online | Download PDF |
Exercise 3.2 | View Online | Download PDF |
Exercise 3.3 | View Online | Download PDF |
Exercise 3.4 | View Online | Download PDF |
Exercise 3.5 | View Online | Download PDF |
Exercise 3.6 | Coming soon | Coming soon |
Exercise 3.7 | View Online | Download PDF |
Exercise 3.8 | View Online | Download PDF |
Chapter # 4 Introduction to Analytic Geometry
Exercise 4.1 | View Online | Download PDF |
Exercise 4.2 | View Online | Download PDF |
Exercise 4.3 | View Online | Download PDF |
Exercise 4.4 | View Online | Download PDF |
Exercise 4.5 | View Online | Download PDF |
![Fsc Fsc](/uploads/1/1/9/5/119528414/494812612.jpg)
Chapter # 5 Linear Inequalities and Linear Programming
Exercise 5.1 | View Online | Download PDF |
Exercise 5.2 | View Online | Download PDF |
Exercise 5.3 | View Online | Download PDF |
Chapter # 6 Conic Section
Exercise 6.1 | View Online | Download PDF |
Exercise 6.2 | View Online | Download PDF |
Exercise 6.3 | View Online | Download PDF |
Exercise 6.4 | View Online | Download PDF |
Exercise 6.5 | View Online | Download PDF |
Exercise 6.6 | View Online | Download PDF |
Exercise 6.7 | View Online | Download PDF |
Chapter # 7 Vectors
Exercise 7.1 | View Online | Download PDF |
Exercise 7.2 | View Online | Download PDF |
Exercise 7.3 | View Online | Download PDF |
Exercise 7.4 | View Online | Download PDF |
Exercise 7.5 | View Online | Download PDF |
Notes of FSc Part 2 of “A Textbook of Mathematics For Class XII” published by Khyber Pakhtunkhwa Textbook Board, Peshawar. We are posting the notes chapter-wise. These notes are shared as open educational resources. This page will be continuously updated.
Author: | Muhammad Ashfaq |
---|---|
Type: | Solutions only |
Sender: | Muhammad Marwan |
Format: | PDF Scanned (Handwritten) |
Notes written by Khalid Mehmood are available here
Unit 01: Functions and Limits
Objectives
After reading this unit the students will be able to:
- identify the domain and range of a functions through graphs.
- draw the graph of modulus function and identify its domain and range.
- recognize the composition of a function and then to find out the composition of two functions.
- describe the inverse of a function and then to find out the inverse of composition of two functions.
- recognize the algebraic and transcendental functions as well as the concepts of explicit, implicit and parametric functions.
- display graphically the explicit, implicit and parametric functions as well as the compound functions.
- introduce the limit of a function with respect to real number intervals on the real number line, the open and closed intervals and its location on a real number line.
- explain the meaning of x tends to zero, x tends to a and x tends to infinity
- define the limit of a sequence when the limit of a sequence with nth term is given.
- define the limit of a function and the statement of theorems on limits of sum, difference, product and quotient of functions.
- evaluate the limits of a function in case of some special functions.
- evaluate the limit of algebraic, exponential and trigonometric functions.
- introduce the continuous and discontinuous functions.
- recognize the left hand and right hand limits through examples.
- define the continuity of a function at a point and in an interval.
- test the continuity and discontinuity of a function a point and in an interval.
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ch01-function-and-limits-fsc2-kpk.pdf |
Unit 02: Differentiation
Objectives
After reading this unit the students will be able to:
- distinguish between independent and dependent variables.
- estimate the change in the dependent variable, when the independent variable is incremented or decremented.
- define the derivative of a function as an instantaneous rate of change of variable with respect to another variable.
- define derivative or differential coefficient of a function.
- differentiate $y=x^n$ and $y=(ax+b)^n$ by first principle rule.
- introduce the theorems of differentiation, such as the derivative of a constant function, the derivative of any constant multiple of a function, the derivative of a sum or difference of two functions, the derivative of the product of two functions and the derivative of a quotient of two functions.
- apply theorems of differentiation in solving problems.
- introduce chain rule of differentiation in different situations.
- introduce implicit differentiation of a function.
- introduce differentiation of trigonometric and inverse trigonometric functions.
- introduce differentiation of exponential and logarithmic functions.
- introduce the differentiation of hyperbolic and inverse hyperbolic functions.
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ch02-differentiation-fsc2-kpk.pdf |
Unit 03: Higher Order Derivative and Application
Objectives
After reading this unit the students will be able to:
Download
ch03-higher-oreder-derivative-and-application-fsc2-kpk.pdf |
Unit 04: Differentiation of Vector Functions
Fsc Online 2nd Year Maths Notes
Objectives
After reading this unit the students will be able to:
Download
ch04-differentiation-of-vector-functions-fsc2-kpk.pdf |
2nd Year Math Lessons
Unit 05: Integration
Fsc 2nd Year Math Notes Youtube Chapter No 6
Objectives
After reading this unit the students will be able to:
Download
Math Notes 2nd Year Fsc 2.1
ch05-integration-fsc2-kpk.pdf |
Unit 09: Integration
Objectives
Math Notes 2nd Year Fsc 2.8
This unit tells us, how to:
Fsc Part 2 English Notes
- define the differential equation, its order, degree, general and particular solutions, and its identification as linear and nonlinear ordinary differential equations.
- demonstrate the concept in forming a differential equation.
- solve the first order linear and nonlinear ordinary differential equations by separable variable form, and homogenuous form and then how to reduce differential equations in standard form of homogenuous.
- solve the real life problems related to differential equations.
- define the orthogonal trajectories and then how to show the orthogonal trajectories of the two families of curve.
Math City Fsc
Download
ch09-differential-equations-fsc2-kpk.pdf |