**Mathematics **is a very important subject for **FSC Part-2 pre-engineering students**. Students have to work hard to prepare for this subject. To understand math questions, everyone must first understand the **Paper Scheme, important formulas,** and **theorems**. **2nd-year Exercise-wise Math solved notes of all chapters** are available on our site for the convenience of the students. Students can **read notes online on Android phones** or laptops anywhere by downloading them in PDF.

These notes are specially Prepared by keeping in mind the demand of getting **top marks** as well as the difficulties of an **average student **in the understanding **Text Book**.

## 2nd Year Math Notes of All Chapters (Exercise Solution)

Exercise 3.1

Exercise 3.2

Exercise 3.3

Exercise 3.4

Exercise 3.5

Exercise 3.6

Exercise 3.7

Exercise 3.8

Exercise 3 MCQS

Exercise 4.1

Exercise 4.2

Exercise 4.3

Exercise 4.4

Exercise 4.5

Exercise 4.1

Exercise 4 MCQs

Exercise 5.1

Exercise 5.2

Exercise 5.3

Exercise 5 MCQs

Exercise 6.1

Exercise 6.2

Exercise 6.3

Exercise 6.4

Exercise 6.5

Exercise 6.6

Exercise 6.7

Exercise 6.8

Exercise 6.9

Chapter 6- MCQs

Gutentor Simple Text

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4

Exercise 7.5

Exercise 7 MCQs

## Significant feature of our Notes

**All important Exercise wise definitions.****Formulas in the beginning of every exercise.****Complete and comprehensive notes of every chapter****Easy approach towards every solution.****The questions are supported with comprehensive diagrams.****Each and every important question is highlighted.****This book is a complete replacement of text book****students need not bother about text book when they have it.****Each chapter is provided with the important questions at its end.**

The main focus is on preparing students for the examinations of **all the boards of Punjab and Federal**. Underlying all the aspects, these **notes will prove to be helpful**, not just for students but for all knowledge seekers.

### Chapter-1 Important Short Question/Definitions

Function | Domain | Range | Independent and Dependent Variable |

Real valued Function | Algebraic Function | Polynomial Function | Linear Function |

Identity Function | Constant Function | Rational Function | Exponential Function |

Logarithmic Function | Explicit Function | Implicit Function |

### Chapter-2 Important Short Question/Definitions

Average rate of change | Derivative | Maclaurin Series |

Taylor Series | Relative Maxima | Relative Minima |

Point of Inflection |

### Chapter-3 Important Short Question/Definitions

Integration and Antiderivative | Fundamental Theorem of Calculus | Differential Equations |

Initial Conditions | Important Formulas |

### Chapter-4 Important Short Question/Definitions

Co-ordinate System | Translation | Slop or Gradient |

Homogeneous Equation | Trapezium |

### Chapter 5 –Linear Inequalities and Linear Programming

Linear Inequalities | Boundary of Half Plane | Left, Right, Upper, Lower Half Plane | Vertex or Corner Point |

Non Negative Constraints | Decision Variables | Feasible Region | Feasible Solution |

Optimal Solution | Objective Function | Problem Constraints |

### Chapter 6- Conic Sections

Neppes | Vertex | Circle | Ellipse | Hyperbola |

Point Circle | Parametric Equations | Tangent | Normal | Tangential Distance |

Chord of Contact | Conic Section | Eccentricity | Equation of Parabola | Vertices |

Transverse or Focal | Central Conics | Degenerate conic | Parabola |