Class 12

Teacher/ Learner Resources

Math
1.1 Introduction
1.2 Types of Functions
Exercise 1.1
1.3 Cpmposition of Functions and Inverse of a Function
Exercise 1.2
1.4 Limit of s Funtion and Theorems on limits
1.5 Limits of important Functions
Exercise 1.3
1.6 Continuous and Discontinuous Functions
Exercise 1.4
1.7 Graphs
Exercise 1.5
2.1 Introduction
2.2 Finding f(x) from definition of Derivative
Exercise 2.1
Exercise 2.2
2.3 Theorems on Differentiation
Derivative of a sum or a Difference of Functions
Derivative of a product (The product Rule)
Derivative of a Quotient (The Quotient Rule)
Exercise 2.3
2.4 The Chain Rule
2.5 Derivatives of Inverse Funtions
2.6 Derivative of a Function given in the form of Parametric Equations
2.7 Differentiation of Implicit Relations
Exercise 2.4
2.8 Derivatives of Trigonometric Functions
2.9 Derivatives of inverse Trigonometric Functions
Exercise 2.5
2.10 Derivative of Exponential Functions
2.11 Derivative of the Logarithmic Function
2.12 Logarithmic Differentiation
2.13 Derivative of Hyperbolic Functions
2.14 Derivatives of the inverse Hyperbolic Functions
Exercise 2.6
2.15 Successive Differentiation (or Higher Derivatives)
Exercise 2.7
2.16 Series Expansions of Functions
2.17 Tailor Series Expansions of Funtions
Exercise 2.8
2.18 Geometrical Interpretation of a Derivative
2.19 Increasing and Decreasing Functions
2.20 Relative Extrema
2.21 Critical Values and Critical Points
Second Derivative Test
Exercise 2.9
Application of Maxima and Minima
Exercise 2.10
3.1 Introduction
Exercise 3.1
3.2 Integration as Anti Derivative (Inverse of Derivative)
Exercise 3.2
3.3 Integration by Method of Substitution
3.4 Some useful Substitutions
Exercise 3.3
3.5 Integration by parts
Exercise 3.4
3.5 Integration involving partial Fractions
Exercise 3.5
3.6 The Definite Integrals
Exercise 3.6
3.7 Application of Definite integrals
Exercise 3.7
3.8 Differential Equations
Exercise 3.8
4.1 Introduction
Exercise 4.1
4.2 Translation and Rotation of Axes
Exercise 4.2
4.3 Equation of Straight lines
4.4 Two and Three Straight Lines
Exercise 4.3
4.5 Angle between Two Lines
Exercise 4.4
4.6 Homogeneous Equation of the Second Degree in two variables
Exercise 4.5
5.1 Introduction
5.2 Linear Inequalities
5.3 Region Bounded by 2 or 3 simultaneous Inequalities
Exercise 5.1
5.4 Problem Constraints
5.5 Feasible Solution Set
Exercise 5.2
5.6 Linear programming
5.7 Linear Programming Problems
Exercise 5.3
6.1 Introduction
Exercise 6.1
6.2 Tangents and Normals
Exercise 6.2
6.3 Analytic proof of important properties of a Circle
Exercise 6.3
6.4 Parabola
Exercise 6.4
6.5 Ellipse and its Elements
Exercise 6.5
6.6 Hyperbola and its Elements
Exercise 6.6
6.7 Tangents and Normals
Intersection of Two Coincs
Exercise 6.7
6.8 Translation and Rotation of Axes
Exercise 6.8
6.9 The General Equation of Second Degree
Exercise 6.9
7.1 Introduction
Exercise 7.1
7.2 Introduction of vector in Space
Exercise 7.2
7.3 The Scalar Product of two Vectors
Exercise 7.3
7.4 The Cross Product or Vector Product of Two vectors
Exercise 7.4
7.5 Scalar Triple Product of Vectors
Exercise 7.5

Chemistry
1.1 INTRODUCTION
1.2 THE MODERN PERIODIC TABLE
1.3 PERIODIC TRENDS IN PHYSICAL PROPERTIES
1.4 PERIODIC RELATIONSHIP IN COMPOUNDS
1.5 THE POSITION OF HYDROGEN
2.1 INTRODUCTION
2.2 GENERAL BEHAVIOUR OF ALKALI METALS
2.3 COMMERCIAL PREPARATION OF SODIUM BY DOWNS CELL
2.4 COMMERCIAL PREPARATION OF SODIUM HYDROXIDE BY THE DIAPHRAGM CELL
2.5 ROLE OF GYPSUM IN AGRICULTURE AND INDUSTRY
2.6 ROLE OF LIME IN AGRICULTURE AND INDUSTRY
3.1 GROUP IIIA ELEMENTS
3.2 COMPOUNDS OF BORON
3.3 REACTIONS OF ALUMINIUM
3.4 GROUP IVA ELEMENTS
3.5 COMPOUNDS OF CARBON AND SILICON
3.6 SEMICONDUCTORS
3.7 USES OF LEAD COMPOUNDS IN PAINTS
4.1 INTRODUCTION
4.2 NITROGEN AND ITS COMPOUNDS
4.3 PHOSPHORUS AND ITS COMPOUNDS
4.4 Group VIA Elements
4.5 SULPHURIC ACID H2SO4
5.1 Introduction
5.2 OCCURRENCE
5.3 PECULIAR BEHAVIOUR OF FLUORINE
5.4 OXIDIZING PROPERTIES
5.5 COMPOUNDS OF HALOGENS
5.6 COMMERCIAL USES OF HALOGEN AND THEIR COMPOUNDS
5.7 NOBLE GASES
6.1 INTRODUCTION
6.2 PROPERTIES OF TRANSITION ELEMENTS
6.3 COMPLEX COMPOUNDS
6.4 IRON
6.5 CORROSION
6.6 CHROMATES AND DICHROMATES
6.7 POTASSIUM PERMANGANATE (KMnO4)
7.1 INTRODUCTION
7.2 SOME FEATURES OF ORGANIC COMPOUNDS
7.3 IMPORTANCE OF ORGANIC CHEMISTRY
7.4 SOURCES OF ORGANIC COMPOUNDS
7.5 CRACKING OF PETROLEUM
7.6 REFORMING
7.7 CLASSIFICATIONS OF ORGANIC COMPOUNDS
7.8 FUNCTIONAL GROUP
7.9 HYBRIDIZATION OF ORBITALS AND THE SHAPES OF MOLECULES
7.10 ISOMERISM
8.1 INTRODUCTION
8.2 NOMENCLATURE
8.3 ALKANES OR PARAFFINS
8.4 ALKENES
8.5 ALKYNES
9.1 INTRODUCTION
9.2 NOMENCLATURE
9.3 BENZENE
9.4 PREPARATION OF BENZENE
9.5 REACTIONS OF BENZENE
9.6 COMPARISON OF REACTIVITIES OF ALKANES,ALKENES AND BENZENE
10.1 INTRODUCTION
10.2 NOMENCLATURE OF ALKYL HALIDES
10.3 METHODS OF PREPARATION OF ALKYL HALIDES
10.4 REACTIVITY OF ALKYL HALIDES
10.5 REACTIONS OF ALKYL HALIDES
10.6 GRIGNARD REAGENT
11.1 INTRODUCTION
11.2 ALCOHOLS
11.3 DISTINCTION BETWEEN PRIMARY, SECONDARY AND TERTIARY ALCOHOLS
11.4 USES OF ALCOHOLS
11.5 PHENOL
11.6 ETHERS
12.1 INTRODUCTION
12.2 NOMENCLATURE
12.3 PREPARATION OF ALDEHYDES AND KETONES
12.4 REACTIVITY OF CARBONAL GROUP
12.5 REACTIONS OF CARBONYL COMPOUNDS
12.6 IDENTIFICATION OF CARBONYL COMPOUND
12.7 USES
13.1 INTRODUCTION
13.2 NOMENCLATURE OF CARBOXYLIC ACID
13.3 GENERAL METHODS OF PREPARATION
13.4 PHYSICAL CHARACTERISTICS
13.5 REACTIVITY OF CARBOXYL GROUP ( C OH)
13.6 Reactions of Carboxylic Acids
13.7 ACETIC ACID
13.8 AMINO ACID
14.1 INTRODUCTION
14.2 STRUCTURE OF POLYMERS
14.3 TYPES OF POLYMERS
14.4 POLYMERIZATION PROCESS
14.5 BRIEF DESCRIPTION OF SYNTHETIC POLYMERS
14.6 BIOPOLYMERS
15.1 INTRODUCTION
15.2 FERTILIZERS
15.3 ELEMENTS ESSENTIAL FOR PLANT GROWTH
15.4 CLASSIFICATION OF FERTILIZERS
15.5 CEMENT
15.6 PAPER INDUSTRY
16.1 INTRODUCTION
16.2 TYPES OF POLLUTION
16.3 FACTORS AFFECTING THE QUALITY OF WATER
16.4 SOLID WASTE MANAGEMENT

Physics
12 Electrostatics
12.1 Columbs Law
12.2 Fields of Force
12.3 Electric Field Lines
12.4 Applications of Electrostatics
12.5 Electric Flux
12.6 Electric Flux Through a Surface Enclosing a Charge
12.7 Gauss Law
12.8 Applications of Gauss Law
12.9 Electric Potential
12.10 Electron Volt
12.11 Electric and Gravitational Forces (A Comparison)
12.12 Charge on an Electron By Millikans Method
12.13 Capacitor
12.14 Capacitance of a Parallel Plate Capacitor
12.15 Electric Polarization of Dielectrics
12.16 Energy Stored in a Capacitor
12.17 Charging and Discharging a Capacitor
13 Current Electricity
13.1 Electric Current
13.2 Source of Current
13.3 Effects of Current
13.4 Ohms Law
13.5 Resistivity and its Dependence Upon Temperature
13.6 Colour Code for Carbon Resistances
13.7 Electrical Power and Power Dissipation in Resistors
13.8 Electomotive Force (EMF) and Potentail Difference
13.9 Kirchhoffs Rules
13.10 Wheatstone Bridge
13.11 Potentiometer
14 Electromagnetism
14.1 Magnetic Field Due to Current in a Long Straight Wire
14.2 Force on a Current Carrying Conductor in a Uniform Magnetic Field
14.3 Magnetic Flux and Flux Density
14.4 Amperes Law and Determination of Flux Density B
14.5 Force on a Moving Charge in a Magnetic Field
14.6 Motion of Charged Particle in an Electric and Magnetic Field
14.7 Determination of e/m of an Electron
14.8 Cathode Ray Oscilloscope
14.9 Torque on a Current Carrying Coil
14.10 Galvanometer
14.11 Avo Meter-Multimeter
15 Electromagnetic Induction
15.1 Induced EMF and Induced Current
15.2 Motional EMF
15.3 Faradays Law and Induced EMF
15.4 Lenz Law and Direction of Induced EMF
15.5 Mutual Induction
15.6 Self Induction
15.7 Energy Stored in an Inductor
15.8 Alternating Current Generator
15.9 D.C. Generator
15.10 Back Motor Effect in Generators
15.11 D.C. Motor
15.12 Back EMF Effect in Motors
15.13 Transformer
16 Alternating Current
16.1 Alternating Current
16.2 A.C. Circuits
16.3 A.C. Through a Resistor
16.4 A.C. Through a Capacitor
16.5 A.C. Through an Inductor
16.6 Impedance
16.7 R-C and R-L Series Circuits
16.8 Power in A.C. Circuits
16.9 Series Resonance Circuit
16.10 Parallel Resonance Circuit
16.11 Three Phase A.C. Supply
16.12 Principle of Metal Detectors
16.13 Choke
16.14 Electromagnetic Waves
16.15 Principle of Generation, Transmission and Reception of Electromagnetic Waves
16.16 Modulation
17 Physics of Solids
17.1 Classification of Solids
17.2 Mechanical Properties of Solids
17.3 Electrical Properties of Solids
17.4 Superconductors
17.5 Magnetic Properties of Solids
18 Electronics
18.1 Brief Review of p-n Junction and its Characteristics
18.2 Rectification
18.3 Specially Designed p-n Junction
18.4 Transistors
18.5 Transistor as an Amplifier
18.6 Transistor as a Switch
18.7 Operational Amplifier
18.8 OP-AMP as Inverting Amplifier
18.9 OP-AMP as Non-Inverting Amplifier
18.10 OP-AMP as a Comparator
18.11 Comparator as a Night Switch
18.12 Digital Systems
18.13 Fundamental Logic Gates
18.14 Other Logic Gates
18.15 Applications of Gates in Control Systems
19 Dawn of Modern Physics
19.1 Relative Motion
19.2 Frames of Reference
19.3 Special Theory of Relativity
19.4 Black Body Radiation
19.5 Interaction of Electromagnetic Radiation With Matter
19.6 Annihilation of Matter
19.7 Wave Nature of Particles
19.8 Uncertainty Principle

Lecture Playlist:

Numerical Playlist:

Source and Credit: Friends Physics by Mr. Muhmmad Ali
https://www.youtube.com/channel/UCi1E7XZCgDLcw9XJ4xndgng

Biology
15.1 Concepts in Homeostasis
15.2 Osmoregulation
15.3 Excretion
15.4 Excretion in Representative Animals
15.5 Excretion in Vertebrates
15.6 Kidney as Osmoregulatory Organ
15.7 Thermoregulation
16.1 Support in Plants
16.2 Movements in Plants
16.3 Support and Movements in Animals
16.4 Human Skeleton
16.5 Deformities of Skeleton
16.6 Muscles
16.7 Locomotion in Proctoctists and Invertebrates
16.8 Locomotion and Skeleton in Vertebrates
17.1 Introduction
17.2 Coordination in Plants
17.3 Coordination in Animals
17.4 Nerve Impulse
17.5 Synapse
17.6 Evolution of Nervous System
17.7 Human Nervous System
17.8 Chemical Coordination
17.9 Endocrine glands of Mammals
17.10 Gonads
17.11 Behaviour
18.1 Reproduction
18.2 Reproduction in Plants
18.3 Reproduction in Animals
18.4 Reproduction in Man
18.5 Sexually Transmitted Diseases (STD)
18.6 AIDS (Acquired Immune Deficiency Syndrome)
19.1 Growth and Development in Plants
19.2 Growth and Development in Animals
19.3 Aging
19.4 Regenration
19.5 Abnormal Development
20.1 Types of Chromosomes
20.2 Composition of Chromosome
20.3 The Chromosomal Theory of Inheritance
20.4 DNA as Hereditary Material
20.5 Chemical Nature of DNA
20.6 What is a Gene?
20.7 Cells use RNA to make Protien
20.8 Genetic Code
20.9 Translation
20.10 Mutations
21 Introduction
21.1 Interphase
21.2 Mitosis
21.3 Meiosis
21.4 Meiotic Errors (Non-Disjunction)
22.1 Genes, Alleles and Gene Pool
22.2 Mendel,s Law of Inheritance
22.3 Dominence Relations
22.4 MN Blood type or Blood Group System
22.5 Multiple Alleles
22.6 Epistasis
22.7 Pleiotropy
22.8 Continuously Varying Traits
22.9 Gene Linkage
22.10 Crossing Over
22.11 Sex Determination
22.12 Sex Linkage
22.13 Diabetes Mellitus and its Genetic Basis
23.1 Cloning of a Gene
23.2 Molecular Scissors: Restriction Endonucleases
23.3 Genoiftic Library
23.4 The polymerase Chain Reaction
23.5 The Human Genome Project
23.6 Biotechnology Products
23.7 Gene Therapy
23.8 Tissue Culture
24.1 Concept of Evolution Vs Special Creation
24.2 Evolution From Prokaryotes To Eukaryotes
24.3 Inheritance of Equired Characteristics
24.4 Natural Selection and Artificial Selection
24.5 Population, Geen Pool, Allele and Genotype Frequencies
24.6 Endangered Species
25.1 Ecosystem
25.2 Components of Ecosystem
25.3 Succession
25.4 Biogeochemical Cycles
26.1 Climate
26.2 Aquatic or Hydrospheric Ecosystem
26.3 Terrestrial or Lithospheric Ecosystem
26.4 Some Major Ecosystems in Pakistan
27.1 Renewable and Non-Renwable Resources
27.2 Degradation and Deplition of Resources
27.3 Man,s Impact On Environment
27.4 Deforestation and Afforestation
27.5 Pollution
27.6 Health and Diseases