KPK Mathematics Notes Cha #1 to Cha # 12 Pdf Download New 2021
What Are Complex Numbers?
understand algebraic properties of complex numbers. recognize real and imaginary parts of different types of complex numbers. know the solution of simultaneous linear equations with complex coefficients.
What are complex numbers?
A complex number is any number or element of a complex vector space over the real numbers. It is denoted by the Greek letter Χ. They can be thought of as complex numbers that are too complicated for our human brain to deal with. We can’t add, multiply, or subtract them, so they represent things like distances, velocities, accelerations, or any number of things. If you had to write down how the average force of an airplane going 15,000 feet per second would feel in your hand, it might be a complex number, like some kind of inverse relationship between velocity and pressure. On an experimental plane, a bunch of test data would be fed into the cockpit’s computers.
I think the following video is a good way to introduce this topic in an interactive way. It’s longer than my comment above, but you may learn a lot. It was obvious to me that I had to learn Maths before High School. I studied it in school in Grade 7, but the questions were made as easy as possible for an 8-year-old, and in hindsight they really were. Not having the opportunity to study Maths at my college level, I had to study Maths in High School. It took me about 3 years to pass the matriculation. At the end of High School, I was pleasantly surprised to find out that I had a very high score for Maths in the National exams. This article is intended for a person who already knows a bit of Maths, but maybe not all of it. I’m assuming you are not a beginner, and in general, I agree.
Section 1: Important Topics
Section 2: Important Formulae
Section 3: Practice Worksheets
Author: Engr. Majid Amin
Type: Solutions only
Sender: Muhammad Kareem
Format: PDF Scanned (Handwritten)
Source & full Credit: www.mathcity.org
Class 11 Mathematics Notes All Chapters PDF Download – KPK Textbooks board
Complex Numbers Maths Chapter #1 Notes KPK
Chapter #2 Matrices and Determinants Notes for KPK
Chapter #3 Vectors maths Notes for class 11
Chapter #4 Sequences class 11 maths notes
Chapter #5 Miscellaneous Series
Maths notes for Class 11 KPK Board PDF chapter #6
Mathematical Induction and Binomial Theorem Cha #7 pdf Downalod
Functions and Graphs Chapter #8 pdf Notes for kpk
Linear Programming Chapter #9 for pdf kpk textbook
Chapter #10 Class 11 maths
Application of Trigonometry Chapter #11 maths
Chapter #12 Class 11 maths notes for all kpk boards
- Class 9 Physics Notes for KPK PDF Downalod Cha 1 to 9
- Unit 2 Class 9th English Notes Iqbal’s Message to Youth
- Chemistry Class 9th Notes for KPK Pdf Download 2021
- Adamjee Mathematics 9th Model Papers 2021
- Physics notes for class 11 KPK Board Chapter 1 | FSc Pre Engineering