Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions. The graphics software uses the concept of a matrix to process linear transformations to render images. Matrices are used very often in 3D geometry (e.g. computer graphics) and are very powerful. A simple 4x4 matrix can represent a lot of transformations at once (translation, rotation, scaling, perspective/orthogonal projection). You can then multiply a 3D position vector (x, y, z, 1) by this matrix to obtain a new position with all the transformations applied. Notice that this vector is also a 1x4 matrix (although the position is in 3D, the fourth component is added to make the multiplication possible and allow for the projection transformation, if you want to know more read about homogeneous coordinates). Similar ideas can be used in 2D or even in higher dimensions like 4D.
Benefits of Doing this course :
- Matrices are one of the most powerful tools in mathematics. The evolution of the concept of matrices is the result of an attempt to obtain compact and simple methods of solving the system of linear equations
- Most Scientific Fields have Applications of Matrices in some of other forms. In almost every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, matrices are used to study physical phenomena, such as the motion of rigid bodies.
- In computer graphics, they are used to project a 3-dimensional image onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the Page Rank algorithm that ranks the pages in a Google search.
Jobs & Career Opportunities:
- Mathematics teacher: A mathematics teacher can work in schools, colleges and universities based on their qualifications, experience and expertise. Apart from teaching various branches of mathematics, their duties include preparing lesson plans, assigning homework and training students for common examinations. Teachers can also partner with online academies and guide aspirants for specialised courses.
- Insurance underwriter: When someone applies for insurance, insurance underwriters are the ones who evaluate, analyse and assess risk on behalf of the insurance company. They use their knowledge of statistics and probability to determine the risk involved while insuring people and assets. The insurance company then decides if one is eligible for insurance and chooses the best plan for them based on their evaluation. Insurance underwriters may specialise in life insurance, health insurance or property insurance.
- Financial Planner: A financial planner helps people and companies manage their financial assets. They are capable of developing effective financial strategies for the same. Setting financial goals, assessing financial risks and helping with retirement or investment plans are some of their primary responsibilities. They also help companies make decisions regarding stock market investments, real estate investments and new business ventures.
- Investment Analyst: Investment analysts track and review financial data and trends to advise companies on how to make investments. They also monitor how company stocks and bonds perform. They may review accounts and financial statements of companies to evaluate profit and loss. They also submit periodic reports to the management to help make better decisions for business development.
- Statistician: Most private and public sector undertakings require the services of statisticians to collate and compare data. Census boards, healthcare, government, media, agriculture, insurance and ecology are some domains where statisticians find employment. They gather information and interpret and analyse data to present inferences in a format that is easy to understand. They also design questionnaires and data collection surveys.
- Financial analyst:: A financial analyst tracks a company's financial information and prepares reports to forecast financial performance for a particular period. This helps the company to understand if they are heading towards profit or loss, and identify areas for improvement. Analysts build financial models that help companies maintain stable revenue and productivity over time. They may also help clients and companies with investment plans.
- Data analyst: There are many statistical tools and mathematical models that help professionals to interpret data. Data analysts use these tools and help companies understand their performance. They identify trends in customer behaviour, sales patterns, productivity levels and other relevant areas in a company's functioning. They also generate reports from such analysis and present them to the management in ways that they can easily understand.
- Economist: Economists study markets to collect socio-economic and financial data. They use this information to advise government or independent businesses to help decide on various policy matters. They also help in forecasting to help businesses make long-term financial and investment plans.
Other important information about this Online Course:
- Maximum Duration to complete the Course: 1-Month
- Course Fees: Rs. 2500/- (Several Payment Options Available: Credit & Debit Cards, Cheque, Demand Draft, Cash, Wire Transfer – NEFT, PAYTM)
- Online Evaluation Method: Based on “Multiple Choice Question (MCQs)” and an “Assignment Submission” of 500 words.
- The score of the online examination will be taken as the final result and Grade will be assigned as per the following scheme: Grade A – 80-100, Grade B – 65-79, Grade C – 50-64, Reattempt – Below 50
- Next Batch: Each IALM course starts immediately after payment. Students can register online for the course at any time. Upon payment of fees and registration, the present Course will start immediately.