1153 Logic courses

3G training course description This course is designed to give the delegate an understanding of the technologies used within a 3G UMTS mobile network. During the course we will investigate the UMTS air interface and the use of Wideband-Code Division Multiple Access (WCDMA) to facilitate high speed data access, together with HSPA to offer mobile broadband services. We will describe the use of soft handover rather than hard handover procedures and soft capacity sharing. The course includes a brief exploration of the UMTS protocol stack and the use of PDP Context and QoS support features. What will you learn Explain the 3G UMTS architecture. Describe the role of a Drifting & Serving RNC. Explain the use of ARQ & HARQ for mobile broadband. Describe how IMS integrates into the architecture. Describe the use of Media Gateway Controllers. Identify the temporary identities used within 3G UMTS. 3G training course details Who will benefit: Anyone working within the telecommunications area, especially within the mobile environment. Prerequisites: Mobile communications demystified Telecommunications Introduction Duration 2 days 3G training course contents D3GPP specifications 3GPP standards body, Evolution path, Frequency and bandwidth, Conceptual model, UMTS general architecture, UTRAN architecture & radio access bearer. CDMA principles CDMA principle, Code characteristics, Code requirements. CDMA requirements Synchronization, Power control, Soft handover, Rake receiver, Antenna consideration, Multi-user detection. Radio interface protocol architecture Access stratum & non-access stratum, Overall protocol structure, Logical and transport channels, Physical channels, Protocol termination. Layer 2 Protocols Medium Access Control (MAC) Protocol, Radio Link Control (RLC) Protocol, Packet Data Convergence Protocol (PDCP) protocol, Radio Interface for Broadcast/Multicast Services. Radio Resource Control (RRC) Protocol RRC Architecture, RRC Protocol State, Broadcast of information, RRC connection management, Radio bearer management, RRC connection mobility functions, Power control, Ciphering and Integrity. Mobile procedures Mobility management states and transitions, UMTS identities, Procedures in Idle mode (location updates, cell selection/ re-selection), Circuit-switched call set-up, Packet-switched context activation and context preservation, Data transfer initialization, Soft-handover procedure. Introduction to HSPA The need for high speed data, Fast HARQ, Improved scheduling, Additional channels, Soft combining, HS-DSCH codes, Uplink HSPA vs downlink HSPA, Full HSPA, Use of MIMO, Enhanced CELL_FACH.

LTE Backhaul training course description This course provides a concise insight into the LTE backhaul. Key parts of the course are detailed looks at the transport of messages and the S1 and X2 protocols. What will you learn Describe the overall architecture of LTE. Explain how data and signalling messages are transported in LTE. Describe the S1 protocol. Describe the X2 protocol. LTE Backhaul training course details Who will benefit: Anyone working with LTE. Prerequisites: Mobile communications demystified Duration 2 days LTE Backhaul training course contents Introduction In the first section of the course, we review LTE and its hardware and software architecture. Requirements and key features of LTE. LTE Architecture and capabilities of the UE. Architecture of the E-UTRAN, functions of the eNB. EPC architecture, and functions of the MME, SGW, PGW and PCRF. System interfaces and protocol stacks. Example information flows. Dedicated and default bearers. EMM, ECM and RRC state diagrams. Architecture of the radio access network In this section, we look in more detail at the architecture of the evolved UMTS terrestrial radio access network (E-UTRAN). Logical and physical architecture of the E-UTRAN. Numbering, addressing and identification. E-UTRAN functions. E-UTRAN protocol stacks. Timing and frequency synchronisation in LTE. Transport of data and signalling in LTE Here, we look in more detail at the techniques and protocols that are used to transport data and signalling messages across the evolved UMTS terrestrial radio access network and the evolved packet core. Quality of service in LTE. The GPRS tunnelling protocol. Differentiated services Multi-protocol label switching (MPLS). The stream control transmission protocol (SCTP). The S1 application protocol This section gives a detailed account of the signalling procedures in the S1 application protocol, which the MME uses to control the operation of the eNB. The material looks at the procedures, messages and information elements, and relates them to the system-level procedures in which they are used. S1 setup procedure. UE context management procedures. Non access stratum information transport. Procedures for managing the evolved radio access bearer (E-RAB). Paging procedures. Mobility management procedures for S1-based handovers. Procedures in support of self-optimising networks. The X2 application protocol This section gives a detailed account of the signalling procedures in the X2 application protocol, which is used for peer-to-peer communication between eNBs. The material looks at the procedures, messages and information elements, and relates them to the system-level procedures in which they are used. X2 setup procedure. Mobility management procedures for X2-based handovers Procedures in support of self-optimising networks. High level system operation In the final section, we bring our discussions of the S1 and X2 application protocols together by reviewing the system-level operation of LTE. Attach procedure. Transitions between the states of RRC Idle and RRC Connected. Tracking area updates in RRC Idle. Handover procedures in RRC Connected.

LTE Airside training course description This course provides a concise insight into the LTE airside. Key parts of the course are detailed looks at the air interface protocol stack, cell acquisition, transmission and reception of data and of he layer 1 procedures along with layer 2 procedures. What will you learn Explain the RF optimisation flowchart. Describe the importance of Reference Signal Received Power (RSRP). List many of the 3GPP recommended KPIs. Describe the concept of APN AMBR and UE AMBR within LTE. Describe the use of planning and optimisation computer tools. LTE Airside training course details Who will benefit: Anyone working with LTE. Prerequisites: Essential LTE Duration 2 days LTE Airside training course contents Introduction and review of LTE This section describes the requirements of LTE and key technical features, and reviews the system architecture. LTE Architecture, UE, E-UTRAN and EPC. Specifications. OFDMA, SC-FDMA and MIMO antennas This section describes the techniques used in the LTE air interface, notably orthogonal frequency division multiple access (OFDMA) and multiple input multiple output (MIMO) antennas. Communication techniques for fading multipath channels. OFDMA, FFT processing and cyclic prefix insertion. SC-FDMA in the LTE uplink. Multiple antenna techniques including transmit & receive diversity and spatial multiplexing. Introduction to the air interface This section covers the operation of the air interface, the channels that it uses, and the mapping to the time and frequency domains of OFDMA and SC-FDMA. Air interface protocol stack. Logical, transport and physical channels. Frame and slot structure, the resource grid. Resource element mapping of the physical channels and physical signals. LTE spectrum allocation. Cell acquisition This is the first of three sections covering the air interface physical layer. Here, we cover mobile procedures to start low-level communications with the cell, and base station transmission of the corresponding information. Primary/secondary synchronisation signals. Downlink reference signals. The master information block. Physical control format indicator channel. Organisation and transmission of the system information. Data transmission and reception In this section, we cover procedures used for data transmission and reception on the shared channels, and describe in detail the individual steps. Data transmission and reception on the uplink and downlink. Scheduling commands and grants on the PDCCH. DL-SCH and UL-SCH. Physical channel processing of the PDSCH and PUSCH. Hybrid ARQ indicators on the PHICH. Uplink control information on the PUCCH. Uplink demodulation and sounding reference signals. Additional physical layer procedure This section concludes our discussion of the air interface physical layer, by discussing a number of procedures that support its operation. Transmission of the physical random access channel. Contention and non-contention based random access procedures. Discontinuous transmission in idle and connected modes. Uplink power control and timing advance. Air interface layer 2 This section describes the architecture and operation of layer 2 of the air interface protocol stack. MAC protocol, interactions with the physical layer, use for scheduling. RLC protocol, transparent, unacknowledged and acknowledged modes. PDCP, including header compression, security functions and recovery from handover.

Total PHP training course description PHP provides for the creation of dynamic web sites. This hands on training course looks at programming with PHP with an emphasis of building dynamic websites. Forms, state management and database integration are all covered with practicals used throughout the course to reinforce theory sessions. What will you learn Create dynamic web sites using PHP. Write PHP programs. Debug PHP programs. Examine existing code and determine its function. Total PHP training course details Who will benefit: Anyone creating dynamic web sites. Prerequisites: Software development fundamentals Duration 3 days Total PHP training course contents What is PHP? PHP history, dynamic web pages, how PHP works, alternatives to PHP. Downloading and installing PHP. Installing MySQL, installing Apache, platform issues. A first PHP web page A basic PHP script, PHP page structure. PHP comments. Integrating PHP and HTML. PHP forms HTML forms, taking values from forms. PHP and HTML Page inputs, environment inputs. phpinfo(), other form elements, sticky fields, generalised code, tables, forms, form elements, style sheets, JavaScript. Variables operators and expressions Expressions, data types, assignments, scope, constants, HTTP environment variables, getting data from forms using variables. Operators Arithmetic, logical, relational, Boolean, others. Control statements Conditional: if, else, elseif, switch. Loops: while, do while, for, break, continue, exit. Functions Built in functions, declaration, arguments, scope, loading functions from other files, defaulting parameters, call by value/ name. Arrays Indexes, array initialisation, array manipulation, multi dimensional arrays, array functions. String handling What is a string, string functions, matching, extraction, replacement. String operations, cleansing, sprintf, formatting web pages, strops and others, splitting strings, REs. PHP and databases Database structure, Database APIs, MySQL, Creating tables, Editing tables, simple SQL queries using PHP, building HTML tables using SQL queries, SQL injection, security issues, error handling. File I/O Opening, reading, writing files. Permissions, ownership, locking, directories. PHP, cookies and sessions State, Cookie properties, setting cookies, retrieving cookies, expiring/deleting cookies. Sessions, session variables, session IDs. PHP and email Emailing from servers, attachments. Objects OOP, PHP classes, constructors, instances.

Oracle SQL training course description The Oracle SQL course is designed to give delegates practical experience in writing SQL statements and scripts using Oracle SQL. The basic SELECT statement, the use of SQL functions and the basic table and view handling statements are introduced. What will you learn Create SQL statements to query database tables. Use standard aggregate functions and related SELECT statement clauses. Join Tables. Use basic subqueries and the set operators. Use numeric, character and date functions. Use conversion and other miscellaneous functions. Use SQL parameters. Use complex subqueries. Create and alter tables and views. Insert, update and delete rows in database tables. Manage sequences and synonyms. Oracle SQL training course details Who will benefit: Anyone who needs to use and understand Oracle SQL to query and update data in an Oracle database. Prerequisites: None. Duration 3 days Oracle SQL training course contents Retrieving data with the SELECT statement The SELECT statement, The SELECT and FROM clauses, Conditions and the WHERE clause, Other conditional operators, Logical operators, The ORDER BY clause, Column aliases, Arithmetic expressions, Precedence of operators. Aggregate functions Overview of built In aggregate functions, The GROUP BY clause, The HAVING clause. Joining tables Overview of table joins, Inner joins, Table aliases, Outer joins, Self joins, ANSI standard joins. Basic subqueries and set operators Overview of subqueries, Basic subqueries, Set operators, The union, intersect and ,minus operators. Numeric, character and data functions Function types, Using the table dual to try out functions, Numeric functions, Character functions, String concatenation, Date arithmetic and date functions. Conversion and miscellaneous functions Conversion functions, The NVL and NVL2 functions, The DECODE function, CASE expressions, The COALESCE and NULLIF functions. SQL parameters Command line substitution parameters, The accept command, The define and undefine commands. Complex subqueries Subqueries usage, In-line views, Top-N queries, Subqueries with joins, Multi column subqueries, Correlated subqueries, Subquery rules, Using the ANY, ALL and SOME operators. Managing data Inserting rows, Updating rows, Deleting rows, Verifying updates, Transaction control, Commit and rollback, Savepoints, Commits and constraints, Amending data in SQL developer. Managing tables Creating tables, Specifying constraints, Altering tables, columns and constraints, Dropping tables, columns and constraints, Recovering dropped tables, Copying tables. Managing indexes and views Creating indexes, Dropping indexes, Listing indexes, Creating and using views, Dropping views, Listing views. Managing sequences and synonyms Create a sequence, View sequence details, Create a synonym, List synonyms.

LTE Architecture and Protocols course description This course provides a comprehensive tour of the LTE architecture along with services provided and the protocols used. What will you learn Describe the overall architecture of LTE. Explain the information flows through LTE. Describe the LTE security. Describe LTE mobility management. Recognise the next steps for LTE. LTE Architecture and Protocols course details Who will benefit: Anyone working with LTE. Prerequisites: Mobile communications demystified Duration 3 days LTE Architecture and Protocols course contents Introduction History, LTE key features. The 4G ITU process. The LTE 3GPP specifications. Specifications. System Architecture LTE hardware architecture. UE architecture and capabilities. E-UTRAN and eNB. EPC, MME functions, SGW, PGW and PCRF. System interfaces and protocol stacks. Example information flows. Dedicated and default bearers. EMM, ECM, RRC state diagrams. Radio transmission and reception OFDMA, SC-FDMA, MIMO antennas. Air interface protocol stack. Logical, transport and physical channels. Frame and slot structure, the resource grid. Resource element mapping of the physical channels and signals. Cell acquisition, data transmission and random access. MAC, RLC, PDCP protocols. LTE spectrum allocation. Power-on procedures Network and cell selection. RRC connection establishment. Attach procedure, including IP address allocation and default bearer activation. LTE detach procedure. Security in LTE networks LTE security features, identity confidentiality, ciphering and integrity protection. Architecture of network access security in LTE. Secure key hierarchy. Authentication and key agreement procedure. Security mode command procedure. Network domain security architecture. Security associations using IKE and IPSec. Mobility management RRC_IDLE, RRC_CONNECTED. Cell reselection, tracking area updates. Measurement reporting. X2 and S1 based handovers. Interoperation with UMTS, GSM and non-3GPP technologies such as cdma2000. QoS, policy control and charging QoS in LTE, EPS bearers, service data flows and packet flows. The architecture and signalling procedures for policy and charging control. Data transport using GPRS, differentiated services and MPLS. Offline and online charging in LTE. Delivery of voice and text messages over LTE Difficulties and solutions for Voice over LTE. Architecture and call setup procedures for circuit switched fallback. Architecture, protocols and call setup procedures in IP multimedia subsystem. Enhancements in release 9 LTE location services. Multimedia broadcast / multicast service and MBSFN. Cell selection, commercial mobile alert service. LTE Advanced and release 10 Impact of carrier aggregation on LTE air interface. Enhanced MIMO processing on uplink and downlink. Relaying. Release 11 and beyond. OAM and self organising networks Operation, administration, maintenance and provisioning for LTE. Self-configuration of base station parameters. Fractional frequency re-use, inter-cell interference co-ordination. Self-optimisation of base station procedures. Self-healing to detect and recover from faults.

MySQL foundation training course description The MySQL foundation course covers the basics of the SQL language as implemented by MySQL. The course is designed to give delegates practical experience in writing SQL statements using the MySQL client program and MySQL Workbench. The basic SQL statements, including the use of SQL functions and the basic table and view handling statements are introduced. What will you learn Create, alter and drop a MySQL database. Write SQL statements. Use SQL expressions and functions. Create and alter tables, indexes and views. Use transactions. Grant and revoke access privileges. Export and import data. MySQL foundation training course details Who will benefit: Anyone who needs to access and work with a MySQL Database. Prerequisites: An understanding of databases and exposure to information technology in general would be useful. Duration 3 days MySQL foundation training course contents Database concepts What is a database? database management systems, tables, rows and columns, indexes, primary keys, unique constraints and foreign keys, client-server architecture, supported data types, storage engines and table types, Information_Schema and MySQL Databases. Hands on using a database. Using the MySQL client What is the MySQL client? getting started and logging in, selecting a database, client commands, entering and executing SQL statements, retrieving previous commands, creating, editing and executing SQL files, redirecting output into a file, command line execution of MySQL scripts. Hands on Using the MySQL client. Basic SELECT The SQL SELECT statement, case sensitivity, quotes, statement terminator, syntax conventions, SELECT clause, FROM clause, conditions and the WHERE clause, logical operators, ORDER BY clause, column aliases, arithmetic expressions, precedence of operators. Hands on querying the sample database. LIMIT, UNION and AGGREGATE functions The LIMIT clause, UNION, UNION ALL, aggregate functions, GROUP BY clause, using Rollup with GROUP BY, HAVING clause. Hands on using limit, union and aggregate functions. Subqueries and joins Subqueries, cartesian products, table aliases, natural joins, join using, join on, multi-table joins. Hands on using subqueries and joins. Numeric and character functions Function types, testing functions, numeric functions character functions. Hands on using numeric and character functions. Data, time and other functions Date and time column types, date and time formats, Date format function, functions to return date time, functions to extract components from date time, date time arithmetic, miscellaneous functions. Hands on using date, time and other functions. Databases and tables Creating a database, selecting a database, creating tables, Auto_increment, show create table, column operations, constraint operations, copying tables, renaming tables, changing engine for tables, dropping tables, temporary tables. Hands on maintaining databases and tables. Indexes and views What is an index? creating an index, reviewing indexes, dropping indexes, what is a view? creating views, view restrictions, dropping views. Hands on maintaining indexes and views. Managing data Inserting rows, replacing rows, updating rows, deleting rows, Truncate statement, The COMMIT and ROLLBACK commands, savepoints, implicit commits. Hands on managing data. Access control Creating users, renaming users, dropping users, granting privileges, revoking privileges. Hands on creating users, granting and revoking. Import and export Exporting using SQL, importing using SQL, exporting from the command line, importing from the command line. Hands on export and import data.

Complete JavaScript training course description A hands on course covering JavaScript programming. Core JavaScript is covered first, including the basics, arrays, functions, classes, modules and Regular expressions. Client side JavaScript is then covered including JavaScript in browsers, Scripting CSS, the jQuery library and HTML APIs. What will you learn Read JavaScript. Write JavaScript. Debug JavaScript. Complete JavaScript training course details Who will benefit: Anyone wishing to learn JavaScript. Prerequisites: None. Duration 3 days Complete JavaScript training course contents CORE JAVASCRIPT Lexical structure: Character set, comments, literals, identifiers, and reserved words, optional semicolons.. Types, values and variables: Numbers, text, boolean values, null and undefines, the global object, wrapper objects, immutable primitive values and mutable object references, type conversions, variable declaration, variable scope. Expressions and operators: Primary expressions, object and array initializers, function definition expressions, property access expressions, invocation expressions, object creation expressions, operator overview, arithmetic expressions, relational expressions, logical expressions, assignment expressions, evaluation expressions, miscellaneous operators. Statements: Expression statements, compound and empty statements, declaration statements, conditionals, loops, jumps, miscellaneous statements, summary of JavaScript statements. Objects: Creating objects, querying and setting properties, deleting properties, testing properties, enumerating properties, property getters and setters, property attributes, object attributes, serializing objects, object methods. Arrays: Creating arrays, reading and writing array elements, sparse arrays, array length, adding and deleting array elements, iterating arrays, multi-dimensional arrays, array methods, FCMAScript 5 array methods, array type, array-like objects, strings as arrays. Functions: Defining functions, invoking functions, function arguments and parameters, functions as values, functions as namespaces, closures, function properties, methods and constructor, functional programming. Classes and modules: Classes and prototypes, classes and constructors, Java-style classes in JavaScript, augmenting classes, classes and types, object oriented techniques in JavaScript, subclasses, classes in ECMAScript 5, modules. Pattern matching and regular expressions: Defining regular expressions, string methods for pattern matching, the RegExp object. JavaScript subsets and extensions: JavaScript subsets, constants and scoped variables, destructuring assignment, iteration, shorthand functions, multiple catch clauses, E4X: ECMAScript for XML. Server-side JavaScript: Scripting Java with Rhino, asynchronous I/O with node. CLIENT SIDE JAVASCRIPT JavaScript in web browsers: Client side JavaScript, embedding JavaScript in HTML, execution of JavaScript programs, compatibility and interoperability, accessibility, security, client side frameworks. The Window object: Timers, browser location and navigation, browsing history, browser screen information, dialog boxes, error handling, document elements as window properties, multiple windows and frames. Scripting Documents: Overview of the DOM, selecting document elements, document structure and traversal, attributes, element content, creating, inserting and deleting nodes. Example: generating a table of contents, document and element geometry and scrolling, HTML forms, other document features. Scripting CSS: Overview of CSS, important CSS properties, scripting inline styles, querying computed styles, scripting CSS classes, scripting stylesheets. Handling events: Types of events, registering event handlers, event handler invocation, document load events, mouse events, mousewheel events, drag and drop events, text events, keyboard events. Scripted HTTP: Using XMLHttpRequest, HTTP by <script>: JSOMP, Comet with server-sent events. The jQuery library: jQuery basics, jQuery getters and setters, altering document structure, handling events with jQuery, Animated effects, Ajax with jQuery, Utility functions, jQuery selectors and selection methods, Extending jQuery with plug-ins. The jQuery UI library. Client side storage: localStorage and sessionStorage, Cookies, IE usingData persistence, Applicatioin storage and offline webapps. Scripted media and graphics: Scripting images, Scripting audio and video, SCG:scalable vector graphics, Graphics in a <canvas>. Scripted HTTP: Using XMLHttpRequest, HTTP by <script>: JSOMP, Comet with server-sent events. The jQuery library: jQuery basics, jQuery getters and setters, altering document structure, handling events with jQuery, Animated effects, Ajax with jQuery, Utility functions, jQuery selectors and selection methods, Extending jQuery with plug-ins. The jQuery UI library. Client side storage: localStorage and sessionStorage, Cookies, IE usingData persistence, Applicatioin storage and offline webapps. Scripted media and graphics: Scripting images, Scripting audio and video, SCG:scalable vector graphics, Graphics in a <canvas>. HTMLS APIs: Geolocation, history management, cross-origin messaging, web workers, type arrays and ArrayBuffers, blobs, the filesystem API, client side databases, web sockets.

If you are a newbie in the field of ethical hacking or want to become an ethical hacker, this course is just what will get you started. This is a comprehensive course with real-world examples to help you understand the fundamentals of hacking and cyber security.

Dive into the enthralling world of numbers and equations with 'High School Math (Pure Mathematics 1),' a course designed to unravel the mysteries of mathematics. Your journey begins with an Introduction that lays the foundation, not just in terms of concepts but igniting a passion for the beauty of math. As you progress, Functions become more than just equations; they turn into a language that describes the universe. Imagine the elegance of Quadratic Equations unfolding before your eyes, revealing patterns and solutions that were once hidden. Embark on an adventure through Co-ordinate Geometry, where every point and line tells a story of space and dimensions. Sequence and Series will no longer be just about numbers; they will be about the rhythm and flow of mathematical logic. The course takes a deeper dive with the Binomial Theorem, Differentiation, Tangents and Normals, each module building on the last, turning complexity into simplicity. Stationary Points & Curve Sketching, and the Second Derivative Test open new vistas in understanding the nature of graphs. As you master Simultaneous Linear Equations, you're not just solving problems; you're unlocking a new perspective on mathematical relationships. The Essential Revision at the end is your bridge to excellence, consolidating your knowledge and skills. Learning Outcomes Develop a foundational understanding of key mathematical concepts and functions. Master the intricacies of quadratic equations and co-ordinate geometry. Explore and apply the principles of sequences, series, and the binomial theorem. Gain proficiency in differentiation and its practical applications in tangents and normals. Understand and implement techniques in curve sketching, stationary points, and optimisation. Why choose this High School Math (Pure Mathematics 1) course? Unlimited access to the course for a lifetime. Opportunity to earn a certificate accredited by the CPD Quality Standards and CIQ after completing this course. Structured lesson planning in line with industry standards. Immerse yourself in innovative and captivating course materials and activities. Assessments designed to evaluate advanced cognitive abilities and skill proficiency. Flexibility to complete the Course at your own pace, on your own schedule. Receive full tutor support throughout the week, from Monday to Friday, to enhance your learning experience. Unlock career resources for CV improvement, interview readiness, and job success. Who is this High School Math (Pure Mathematics 1) course for? High school students seeking to excel in mathematics. Individuals preparing for college-level math courses. Math enthusiasts looking to deepen their understanding of pure mathematics. Students requiring a comprehensive revision of key mathematical concepts. Anyone aspiring to pursue a career involving advanced mathematics. Career path Mathematician: £30,000 - £60,000 Data Analyst: £25,000 - £50,000 Actuarial Analyst: £28,000 - £55,000 Research Scientist (Mathematics): £32,000 - £60,000 Engineering Consultant: £27,000 - £55,000 Academic Tutor (Mathematics): £24,000 - £40,000 Prerequisites This High School Math (Pure Mathematics 1) does not require you to have any prior qualifications or experience. You can just enrol and start learning.This High School Math (Pure Mathematics 1) was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection. Certification After studying the course materials, there will be a written assignment test which you can take at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £4.99 Original Hard Copy certificates need to be ordered at an additional cost of £8. Course Curriculum Introduction Introduction 00:03:00 Functions What is Function? 00:07:00 Vertical Line Test 00:04:00 Value of a Function Graphically 00:08:00 Domain Range of a function Algebraically 00:13:00 Domain Range of a function Graphically 00:06:00 Even & Odd Functions 00:07:00 One to one Function 00:05:00 Composite Functions 00:09:00 How to draw Rational Functions- 1 00:04:00 How to draw Rational Functions- 2 00:10:00 Inverse of a function Algebraically 00:05:00 Inverse of a function Graphically 00:09:00 Practice Problems 00:15:00 Practice Problems 00:11:00 Resources Downloads 00:40:00 Quadratic Equations Introduction to Quadratic Equations 00:04:00 Solving Quadratic Equations by Factorization method 00:10:00 Writing in completed square form 00:08:00 Solving by completed square method 00:08:00 Sketching of Quadratic Graphs 00:11:00 Quadratic graphs using Transformations 00:06:00 Quadratic inequalities 00:11:00 Deriving Quadratic formula 00:05:00 Solving problems using Quadratic Formula 00:06:00 Equations reducible to Quadratic 00:07:00 Nature of Roots of Quadratic Equations 00:04:00 Nature of roots continues 00:12:00 Quadratic Equations (Resources) 00:50:00 Co-ordinate Geometry Distance formula 00:15:00 Mid point formula 00:05:00 Gradient of a line 00:10:00 Graphing using gradient and y intercept 00:02:00 Some standard lines 00:04:00 Slope intercept form y = m x +c 00:05:00 Point slope form and two point form 00:10:00 Intersection of line and parabola 00:09:00 Practice Problems from past papers (part 3) 00:12:00 Sequence and series Sequence and series ( video) 00:08:00 Arithmetic Sequence 00:10:00 General term of an A.P. 00:07:00 Finding given term is which term? 00:05:00 Writing sequence when two terms are known 00:08:00 Condition for three terms to be in A.P. 00:05:00 Sum to n terms of A.P. 00:06:00 Practice Problems 1 (A.P.) 00:08:00 Practice problems 3 (A.P.) 00:07:00 Practice problems 4 (A.P.) 00:10:00 Geometric Progressions 00:11:00 Sum to n terms in G.P. 00:14:00 Sum to infinite Terms in G.P. 00:13:00 Practice Problems 1 (GP) 00:13:00 Practice Problems 2 (GP) 00:06:00 Practice Problems based on AP and GP both 00:15:00 Sequence and series Text 1 00:40:00 Sequence and series Text 2 00:55:00 Binomial Theorem What is Factorial? 00:06:00 n-choose -r problems 00:06:00 Properties of n - choose -r 00:05:00 Expanding using Binomial Theorem 00:11:00 Finding the indicated term in the Binomial expansion 00:10:00 Finding the indicated term from end 00:09:00 Finding the coefficient for given exponent (index) of the variable 00:08:00 Finding the term independent of variable 00:05:00 Expanding in increasing and decreasing powers of x 00:09:00 Practice problems 1 00:12:00 Practice Problems 2 00:09:00 Practice problems 3 00:10:00 Past papers problems 1 00:15:00 Past Paper problems 2 00:13:00 Past Paper problems 3 00:09:00 Resources in this section 00:50:00 Differentiation What is Derivative? 00:07:00 Derivation of formula for Derivative 00:06:00 Differentiation by definition or First Principle 00:06:00 Power Rule 00:20:00 Practice Problems on Power Rule 1 00:07:00 Practice Problems on Power Rule 2 00:07:00 Practice Problems on Power Rule 3 00:05:00 Practice Problems on Power Rule 4 00:11:00 Practice Problems on Power Rule 5 00:07:00 Tangents and Normals Tangents and Normals- Basics 00:12:00 Practice- Tangents and Normals Part 1 00:16:00 Practice- Tangents and Normals Part 2 00:13:00 Practice- Tangents and Normals Part 3 00:11:00 Practice- Tangents and Normals Part 4 00:14:00 Stationary Points & Curve Sketching Stationary Points - Basics 00:13:00 Practice- Increasing Decreasing & Maxima Minima part 1 00:11:00 Practice- Increasing Decreasing & Maxima Minima part 2 00:12:00 Practice- Increasing Decreasing & Maxima Minima part 3 00:10:00 Second Derivative Test (Maximum & Minimum Points) Concavity-Basics 00:02:00 Concavity & Second Derivative 00:08:00 Second Derivative Test 00:09:00 Practice Problems on second derivative 00:04:00 Practice Problem of Maxima Minima using second derivative test Part 1 00:17:00 Practice Problem of Maxima Minima using second derivative test Part 2 00:10:00 Practice Problem of Maxima Minima using second derivative test Part 3 00:07:00 Practice Problem of Maxima Minima using second derivative test Part 4 00:07:00 Applications of Maxima and Minima Part 1 00:09:00 Applications of Maxima and Minima Part 2 00:07:00 Applications of Maxima and Minima Part 3 00:10:00 Applications of Maxima and Minima Part 4 00:09:00 Applications of Maxima and Minima Part 5 00:10:00 Applications of Maxima and Minima Part 6 00:08:00 Past Paper Problems on applications of maxima and minima Part 1 00:09:00 Past Paper Problems on applications of maxima and minima Part 2 00:09:00 Past Paper Problems on applications of maxima and minima Part 3 00:08:00 Past Paper Problems on applications of maxima and minima Part 4 00:07:00 Chain Rule 00:12:00 Rate of change part 1 00:05:00 Rate of change part 2 00:10:00 Rate of change part 3 00:07:00 Past Paper Problems using chain rule -1 00:06:00 Past Paper Problems using chain rule - 2 00:07:00 Past Paper Problems using chain rule 3 00:07:00 Past Paper Problems using chain rule -4 00:04:00 Simultaneous Linear equations Graphical Method of solving pair of linear equations 00:10:00 Video lecture on Graphical method 00:05:00 Method of elimination by substitution 00:10:00 Video lecture on substitution method 00:06:00 Method of elimination by equating the coefficients 00:10:00 Video lecture on equating coefficients method 00:09:00 Practice Problems on Linear equation 00:20:00 Essential Revision How to take up this course? 00:10:00 Background of Algebra 00:10:00 Language of Alg ebra 00:10:00 Finding Values of algebraic expressions 00:14:00 Fractional Indices 00:10:00 Higher Indices 00:07:00 Rules of Brackets 00:04:00 Simplification by removing brackets (BODMAS) 00:11:00 Simplifications of Algebraic Fractions 00:07:00 Solving complex Linear Equations in one variable 00:10:00 Factorization by taking out common factor 00:10:00 Factorization by grouping the terms 00:09:00 Factorize using identity a ² - b ² 00:07:00 Factorization by middle term split 00:12:00