Mathematics 2nd Year All Chapter Notes | Math FSc Part 2
“Class 12 Mathematics Notes”
Mathematics-XII (Punjab Text Book Board, Lahore)
- FSc Part 1 Mathematics Notes/Solutions FSc Part1 PTB Book Cover Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily.
- Nov 07, 2018 2nd Year Maths Keybook pdf Notes Download-If you are looking for 2nd Year Maths pdf Notes then this is a good place to download notes in pdf. 2nd Year Maths Keybook pdf Notes Download This course is prepared to provide complete solved exercises of Mathematics Fsc part 2 book.
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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Grade 11 is the first year of a student in a college while Grade 12 is the second and final year. We provide the following courses of intermediate classes: Pre Medical - in which Physics, Chemistry and Biology are the main subjects. Pre Engineering - in which Chemistry, Physics and Mathematics.
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 |
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 (Solutions) of Unit 01:Functions and Limits, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.
Contents & summary
- Concept of Function
- Notation and Values of a Function
- Graph of Functions Defined Piece-Wise
- Algebraic Function
- Inverse Trigonometric Functions
- Exponential Function
- Hyperbolic Function
- Explicit Function
- Odd Function
- Composition of Function and Inverse of a Function
- Inverse of a Function
- Exercise 1.2
- Meaning of the phrase “x approaches Zero”
- Concept of Limit of a Function
- Theorems on Limits of Function
- $lim_{xto a}frac{x^n-a^n}{x-a} = na^{n-1}$, where n is an integer and a>0
- $lim_{xto0}frac{sqrt{x+a} - sqrt{a}}{x} = frac{1}{2sqrt{a}}$
- Methods for Evaluating the limits at Infinity
- $lim_{xto0}frac{a^x-1}{x} = {log_e}^a$
- If $theta$ is measured in radian, then $lim_{thetato 0}frac{sintheta}{theta} = 1$
- Continuous and Discontinuous Function
- Criterion for Existence of Limit of a Function
- Exercise 1.4
- Graph of the Exponential Function $f(x) = a^x$
- Graph of Common Logarithmic Function $f(x) = log x$
- Graph of natural logarithmic Function $f(x) = ln x$
- Graph of parametric Equations
- Graphical Solution of the Equations
Did you know?
Consider two functions $f(x)=x+3$ and $displaystyle g(x)=frac{x^2-9}{x-3}$. Is $f=g$? (see answer here)
Consider two functions $f(x)=x+3$ and $displaystyle g(x)=frac{x^2-9}{x-3}$. Is $f=g$? (see answer here)
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- Exercise 1.2 | View online | Download PDF
Fsc 2nd Year Math Notes
- Exercise 1.4 | View online | Download PDF
The following notes was written and sent by Mr. Amir Shehzad.
2nd Year Math Lessons
- Unit 01: Function & Limits (Complete notes with MCQs) | Download PDF (0.7 MB)