if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
/wp-content/uploads/2020/01/Helping-Notes-1st-Year-Math.jpg" />
Notice (8): Undefined index: api_key [APP/Controller/PageprocessController.php, line 111]
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
/wp-includes/wlwmanifest.xml" />
Notice (8): Undefined index: api_key [APP/Controller/PageprocessController.php, line 111]
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
/wp-content/uploads/2019/01/cropped-LogoFavicon-180x180.png" />
Notice (8): Undefined index: api_key [APP/Controller/PageprocessController.php, line 111]
if ($this->request->is('post')){ $apikey = $this->request->data['api_key'];
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 111
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Notice (8): Undefined index: site_id [APP/Controller/PageprocessController.php, line 112]
PageprocessController::cdnurl() - APP/Controller/PageprocessController.php, line 112
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 491
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 117
Level: F.Sc (Pre-Engg) Class: Part I Board: Punjab Textbook Board Subject: Mathematics Total Units: 14 Type: Solution & Helping Notes
F.Sc (Class XI) Mathematics solution notes according to a new pattern of all boards of Punjab in which Bahawalpur, D.G Khan, Faisalabad, Gujranwala, Lahore, Multan, Rawalpindi, Sahiwal, Mirpur (Azad Kashmir) and Federal Board are included. It has been published by Punjab Curriculum and Textbook Board, Government of Punjab. This book has the following chapters in it.
Chapters #
Title
Notes
1
Number Systems
View
2
Sets, Functions and Groups
View
3
Matrices and Determinants
View
4
Quadratic Equation
View
5
Partial Fractions
View
6
Sequences and Series
View
7
Permutation, Combinations and Probability
View
8
Mathematical Inductions and Binomial Theorem
View
9
Fundamentals of Trigonometry
View
10
Trigonometric Identities Sum and Difference of Angles
View
11
Trigonometric Functions and their Graphs
View
12
Application of Trigonometry
View
13
Inverse Trigonometric Functions
View
14
Solutions of Trigonometric Equations
View
Its authors are:
Prof. Shamshad Muhammad Lodhi (late) of Cresent Model School, Lahore.
Prof. Muhammad Sharif Ghouri of Islamia College, Mathematics Department, Railway Road, Lahore.
Prof. Sanaullah Bhatti of Ex-Chairman University of Punjab, Lahore.
Prof. Khalid Saleem of Mathematics Department Govt. College University, Lahore.