Mathematics: Trigonometry Topics

 

- Trigonometry

*Angles and their measure

*The Unit circle

*Trigonometric Functions

*Trigonometric Identities

*Graphs of Trigonometric Functions

*The Inverse Trigonometric Functions

*Trigonometric Equations and Inequalities

*Applications of Trigonometry

Computer Majors/Degrees

Computer Science - علوم الحاسب

keywords: Mathematics, Algorithms, Software, Programming, Data, Security

Computer Engineering - هندسة الحاسب

keywords: Hardware, Networks, Robotics, Embedded Systems, Software

Information Systems - نظم المعلومات

keywords: Business Management, System Analysis, Data, Software

Information Technology - تقنية المعلومات

keywords: Support, Maintenance, Hardware

Software Engineering - هندسة البرمجيات

keywords: Software, Analysis, Development, Testing, Quality

MTA Exam 98-369: Cloud Fundamentals

Understand the cloud

• Describe cloud principles and delivery mechanisms

·        Differentiate between on-premises IT service models; differentiate between subscription or pay-as-you-go versus upfront CapEx/OpEx funding model; use cloud services to expand capacity (elasticity of the cloud), scalability, redundancy, and availability; differentiate between cloud services that are configurable versus on-premises services that are customizable

• Describe cloud security requirements and policies

·        Describe how cloud services manage privacy, how compliance goals are met, how data is secured at rest or on-the-wire, and how data and operations transparency requirements are met

• Describe how a cloud service stays up to date and available

·        Describe the service/feature improvement process; monitor service health, service maintenance, and future roadmap publishing; identify guarantees, service level agreements (SLA), and capping of liability of the cloud service provider

• Describe the different types of cloud services

·        Differentiate between types of cloud services and their characteristics, including infrastructure as a service (IaaS), platform as a service (PaaS), and software as a service (SaaS); integrate the cloud with on-premises services in hybrid scenarios

Enable Microsoft cloud services

• Identify the requirements and dependencies for using Office 365 and Microsoft Intune

·        Plan networking and domains, firewall rule, client requirements, bandwidth implications, and DNS

• Select a cloud service plan

·        Understand the different options and plans available for Office 365 and Microsoft Intune

• Sign up for cloud services

·        Name your tenant, set up your first administrator, determine tenant location

• Set up the initial configuration of cloud services

·        Register domains, verify domains, choose the domain purpose; identify required DNS record types

Administer Office 365 and Microsoft Intune

• Create users and groups, and assign services and licenses

·        Differentiate between cloud identities (Online identity, Synchronized identities, Federated identities), create and manage users and identities, delete and restore users (soft delete), create and manage groups, assign and revoke licenses, determine user locations

• Assign permissions in Office 365 and Microsoft Intune

·        Assign or revoke administrative roles; manage delegated admins; manage password policies, subscriptions, and licenses

• Monitor service health in Office 365 and Microsoft Intune

·        Monitor the Service Health dashboard, subscribe to RSS feeds, monitor the maintenance schedule, monitor the message center, log service support requests, configure alerts

Use and configure Microsoft cloud services

• Configure Exchange Online

·        Manage recipients (mailboxes, shared mailboxes, resources, contacts, groups), manage anti-spam and antivirus settings

• Configure SharePoint Online, including OneDrive

·        Create SharePoint team sites, configure external sharing, set up social features using newsfeeds or Yammer, apply themes, set storage and resource limits

• Configure Skype for Business Online

·        Manage Skype for Business user options, manage external communication settings, configure dial-in settings and meeting invitation options, configure Skype for Business Online DNS

• Configure Microsoft Intune

·        Install Microsoft Intune client management software, create and deploy policies, automate installs, identify software requirements, set up notifications, identify mobile device management policies

Support cloud users

• Resolve sign-in and Office application installation issues

·        Troubleshoot sign-in issues, forgotten passwords, connection problems, difficulty activating Office applications, and difficulty connecting mobile devices to Office 365 or Microsoft Intune; choose between 32-bit and 64-bit; identify when an Office repair is required; identify operating system requirements for Office 365 ProPlus; browser requirements and specific versions of Internet Explorer

• Resolve email and calendar issues

·        Troubleshoot issues receiving and sending email, troubleshoot issues accessing a delegated mailbox

• Resolve SharePoint and OneDrive issues

·        Identify storage limits, troubleshoot “Open with Explorer” not working and OneDrive not syncing, recover deleted files

• Resolve Skype for Business issues

·        Troubleshoot Skype for Business sign-in issues, troubleshoot connection issues to Skype for Business Online, troubleshoot communicating to Skype consumer users and users in other companies using Skype for Business

Discrete Mathematics Topics

 

- Introduction

*Mathematical Reasoning

*Combinatorial Analysis

*Discrete Structures

*Algorithmic Thinking

*Applications and Modeling

- Logic and Proofs

- Basic Structures

*Sets

*Functions

*Sequences

*Sums

*Matrics

- Number Theory

- Induction and Recursion

- Counting

- Discrete Probability

- Relations

- Graphs

- Trees

- Modeling Computation

Paradigm of Physics Courses

Paradigm of Physics Courses

• Properties of Matter
• Electricity and Magnetism
• Heat and Thermodynamics
• Geometric Optics and Acoustics
• Electricity and AC Current
• Physical Optics
• Physics of Vibrations and Waves
• Principles of Modern Physics
• Introduction to Physical Electronics
• Physics of Semiconductors and Applications
• Digital Logic Circuits
• Physical Measurements Using Computer

Properties of Matter

• Physical quantity
• Dimensional analysis
• Newton's laws of motion
• Work and energy
• Toughness
• Viscosity
• Surface tension

Electricity and Magnetism

• Columb law and electrostatic fields
• Electrostatic potential
• Capacitance and dielectrics
• Electric Current and DC Circuits
• Kirchhoff’s Rules
• Magnetic fields
• Magnetic forces
• Electromagnetic induction

Thermodynamics

• Thermal conduction
• Kinetic theory of gases
• First law of thermodynamics
• Laws of thermodynamics

Geometrical optics and Acoustics

• The nature and propagation of light
• Reflection and refraction at plane surface
• Lenses and Mirrors
• Eye’s structure and camera
• Microscopes and Telescopes
• Doppler effect

Electricity and Alternating current

• RL and RC Circuits and Stored energy
• RLC Circuit under different conditions
• RL and RC Circuit Analysis
• Analysis of AC Circuits by Complex numbers
• AC transient current for RL, RC and RLC Circuits

Physical Optics

• Waves motion and superposition
• Interference of light waves
• Diffraction of light waves
• Polarization
• Laser
• Introduction in Optical fibers

Vibration and Waves

• Simple harmonic motion
• Damped Simple Harmonic Motion
• The Forced Oscillator
• Coupled Oscillations
• Transverse Wave Motion
• Longitudinal Waves
• Waves on Transmission Lines
• Electromagnetic Waves
• Waves in More than One Dimension
• Fourier Methods
• Waves in Optical Systems
• Interference and Diffraction
• Wave Mechanics
• Non-linear Oscillations and Chaos
• Non-linear Waves, Shocks and Solitons
• Ultrasound

Modern physics

• Principles of modern physics
• Black Body radiation
• Planck’s law of radiation and photo-electric effect
• The hydrogen atom
• Rutherford model of the atom
• Bohr’s Theory
• Somerfield’s Theory
• Compton effect
• Dual nature of matter
• De Broglie Waves
• Heisenberg's indeterminacy principle
• Principle of relativity

Physics Electronics

• Semiconductor diode and applications
• Bipolar junction transistors
• Field-effect transistors
• Biasing of transistors
• Integrated circuits
• Operational amplifiers
• Feedback amplifiers
• oscillators

Solid-state physics

• Crystal Structure
• Reciprocal lattice
• X-ray diffraction in crystals
• Lattice vibrations and thermal properties
• Defects in crystals
• Point Defects
• 1D, 2D and 3D Defects
• Free electron mode and electric properties
• Theory of dielectrics

Semiconductors and Thin Solid

• Crystal structure
• Energy brands
• Intrinsic and extrinsic semiconductors
• Fermi-Dirac Function
• Density of carriers
• Carrier Transport
• Hall effect
• P-N Junctions
• I-V and C-V Characteristics
• Characteristics of Transistors (BJT, MIS)
• Optoelectronic

Digital and Logic Circuits

• Basic logic concepts
• Logic states
• Number systems
• Boolean algebra
• Basic logical operations
• gates and truth tables
• Combinational logic
• Multiplexers and de-multiplexers
• Encoders and Decoders
• Adders and subtractors
• Look-ahead Carry
• Comparators
• Programmable logic arrays and memories
• Design with MSI
• Logic families
• Tri-state devices
• Sequential logic
• Flip flops
• Mono-stable multi-vibrators
• Latches and registers.
• Counters

MTA Exam 98-382: Introduction to Programming Using JavaScript

Program with JavaScript Operators, Methods, and Keywords

Program with Variables, Data Types, and Functions

Implement and Analyze Decisions and Loops

Interact with the Document Object Model

Interact with HTML Forms

Program with JavaScript Operators, Methods, and Keywords

Complete or debug code that uses assignment and arithmetic operators

Assignment; increment; decrement; addition; subtraction; division; multiplication; modulus; compound assignment operators

Apply JavaScript best practices  

Comments; indentations; naming conventions; noscript; constants; reserved keywords; debugger keyword; setting breakpoints; console.log

Evaluate the use of inline and external scripts

When to use, how to use, and what happens when both are used

Implement exception handling

try; catch; finally

Complete and debug code that interacts with the Browser Object Model (BOM)

Manage state; display dialogs; determine screen size

Program with Variables, Data Types, and Functions

Declare and use variables of primitive data types 

Number; Boolean; String; Null; Undefined; typeof operator; type checking functions; use strict; converting between data types; formatting numbers; string operations; single quote vs double quote (nesting); initialization

Declare and use arrays

Single-dimensional arrays; multi-dimensional arrays; iteration; initialization; define an array; sort and search an array; use push, pop, shift, and unshift methods; use the length property; access an array element;

Complete and debug code that uses objects

Properties; methods; instantiation; Date object; retrieve date and time parts; localize date format (MM/DD vs DD/MM); add and subtract dates

Complete and debug code that uses built-in Math functions

Random; round; abs; floor; ceiling; min; max; pow; sqrt

Complete and debug a function that accepts parameters and returns a value

Reusable code; local versus global scope, redefine variables, pass parameters, value versus reference, return values

Implement and Analyze Decisions and Loops

Evaluate expressions that use logical and comparison operators

==; !=; <, >; <=; >=; !; &&; ||

Complete and debug decision statements

if; else if; switch; nested if

Complete and debug loops

for; while; do; break; continue

Interact with the Document Object Model

Identify and construct the Document Object Model (DOM) tree

window; document; body; other HTML elements

Identify and handle HTML events

onchange; onmouseover; onload; onclick; onmouseout; onkeydown

Complete and debug code that  outputs to an HTML document

innerHTML; document.write

Complete and debug code that locates, modifies, and adds HTML elements and attributes

getElementByld; getElementsByTagName; getElementsByClassName; setAttribute; createElement

Interact with HTML Forms

Complete and debug code that retrieves input from forms and sets form field values

Retrieve form values; identify the DOM path; get values from different types of elements; prepopulate values; mask values

Complete and debug code that performs input validation

Case; string comparisons; Not-A-Number (NaN)

Describe the form submission process

onsubmit; post versus get; potential targets for submission

MTA Exam 98-383: Introduction to Programming Using HTML and CSS

Understand HTML Fundamentals

Understand CSS Fundamentals

Structure Documents Using HTML

Present Multimedia Using HTML

Style Web Pages Using CSS

Understand HTML Fundamentals

Construct markup that uses metadata elements

Script; noscript; style; link; meta tags, including encoding, keywords, viewport, and translate

Construct well-formed markup that conforms to industry best practices  

DOCTYPE declaration; HTML; head; body; proper syntax, including closing tags and commonly used symbols; comments

Understand CSS Fundamentals

Analyze the impact of using inline styles, internal style sheets, and external style sheets

When to use inline styles; when to use internal style sheets; when to use external style sheets; precedence when using a combination of inline styles and style sheets

Construct and analyze rule sets

Valid syntax for the CSS rule set; selectors, including class, id, elements and pseudo-class

Construct well-formed style sheets that conform to industry best practices

Reusing rules and rule sets; commenting; testing on multiple browsers; web safe fonts

Structure Documents Using HTML

Construct and analyze markup to structure content and organize data

Table tags; h1-h6; p; br; hr; div; span; ul; ol; li

Construct and analyze markup that uses HTML5 semantic elements

Semantic tags; header; nav; section; article; aside; footer; details; summary; figure; caption

Construct and analyze markup that implements navigation

Image links; a; target; bookmark; relative versus absolute links; navigating simple folder hierarchies

Construct and analyze markup that uses form elements

Form attributes; action; method; submission methods; accessibility; input types and restrictions; select; textarea; button; output; option; datalist; fieldset

Present Multimedia Using HTML

Construct and analyze markup that displays images

img and picture elements and their attributes

Describe the appropriate use of the img, svg, and canvas elements

Construct and analyze markup that plays video and audio

Video; audio; track; source; simple iframe implementations

Style Web Pages Using CSS

Construct and analyze styles that position content

Positioning, including float, relative, absolute, max-width, overflow, height, width, and align; inline versus block; visibility; box model, including margins and padding

Construct and analyze styles that format text

Font-family; color; font-style; font-size; font-weight; link colors; text formatting, including text alignment, text decoration, and indentation

Construct and analyze styles that format backgrounds and borders

Border-color; border-style; border-width; backgrounds; divs; colors

Analyze styles that implement a simple responsive layout

Units of measure; responsive effects with CSS, including viewport and media query; percentages versus pixels; frameworks and templates; max width