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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

Trigonometry and algebra are the two domains of mathematics that find applications in various subjects and professions. This course on Algebra and Trigonometry is designed to help students gather a fundamental understanding of these concepts and be prepared to take them on in the future.

The Algebra and Trigonometry certification syllabus is designed in a way to act as a stepping stone for candidates who want to pursue these topics at the advanced level. This certification course is a core-level programme of the undergraduate level and runs for 15 weeks. The syllabus is comprehensive and relevant to the current education system.

Candidates who enrol for the Algebra and Trigonometry Training by Swayam will acquire a deep understanding of the concepts. They will undertake tests, exercises, and assignments to test their learning and improve. The course by Swayam also provides for interaction between the students and faculty through discussion forums, which is the main attraction of this online programme.

The Highlights

Core course
Undergraduate level
15 weeks of training
Expert faculty
Tests and assignments
Course certificate
Student-faculty interactions
Quizzes and examples
Proctored exam

Programme Offerings

Audio-visual Lectures
discussion forum
course certificate
Online training
proctored exam
quizzes and tests
Exercises
Course credits
Graded certificate
Expert Faculty

Courses and Certificate Fees

Certificate Availability	Certificate Providing Authority
yes	Mahatma Gandhi College, Iritty

Eligibility Criteria

Candidates who complete the internal assessments and end-term exam and secure the minimum passing marks will get a graded certificate for the Algebra and Trigonometry course.

What you will learn

Mathematical skill

After completing the Algebra and Trigonometry program, candidates will gain knowledge of some of the most essential and fundamental concepts of these subjects. These include:

Functions, groups, rings and fields in algebra
Rank of a matrix and elementary transformations
Eigenvalue problem
Solving linear equations
Theory of equations
Solutions of quartic equations
Direct and inverse trigonometric functions
Hyperbolic functions

Who it is for

The Algebra and Trigonometry Course are for maths, statistics, computer science, or engineering students. Undergraduate students in their first year can also enrol for this course.

Admission Details

Candidates can take admission in the Algebra and Trigonometry online course by opening this link: https://onlinecourses.swayam2.ac.in/cec21_ma07/preview.
Hit the “Join” option given at the top of the page.
Sign in on Swayam. You can create a new account or use your Facebook/Google/Microsoft account to log in.
Candidates who already have an account on Swayam can log in by entering their details.
Next, pay the course fee and await confirmation.
After confirmation, you can begin the course.

Application Details

The Algebra and Trigonometry Course by Swayam does not have a dedicated application form. Candidates can directly register by entering their details like email address, username, and password to sign up.

The Syllabus

Relations
Equivalence Relations
Functions

Congruent Modulo n
Matrices
Adjoint and Inverse of Matrices

Rank of a matrix and Elementary Transformations
Determination of Rank using transformations
Elementary Matrices

Fundamental Results Rank and Inverse using transform
Solution of Homogeneous System of Equations
Method to find solution of Homogeneous System of Equations

Non Homogeneous System of Equations
Characteristic Roots and Vectors
Characteristic Space

Cayley Hamilton Theorem
Theory of Equations 1
Theory of Equations 2

Theory of Equations 3
Theory of Equations 4
Theory of Equations 5

Groups
Isomorphic Binary Structures
Properties of Groups ad Subgroups

Cyclic subgroups and Cyclic Groups
Permutations
Orbits and Cycles

Cosets and Theorem of Lagrange
Homomorphisms
Rings and fields

Integral Domains and Characteristic of a ring
De Moivres Theorem
Direct and Inverse Circular Hyperbolic Functions

Logarithm of Complex Quantity Expansion of Trigonometric Functions
Summation of Series

Summation of Finite and Infinite Series

Evaluation process

Various internal assessments, like quizzes and tests, are conducted during the Algebra and Trigonometry program, and candidates must secure the minimum passing marks. A final term exam is also conducted, which carries 70% weightage in the final score, while the internal assessments carry 30% weightage. Candidates will receive the course certificate according to their grades.

Instructors

Mahatma Gandhi College, Iritty Frequently Asked Questions (FAQ's)

1: Can engineering students join this course?

Yes, engineering students in their first year can join this course to learn about the basics of trigonometry and algebra.

2: How can I resolve my doubts during the Algebra and Trigonometry course?

Swayam offers discussion forums where students can interact with the faculty to clear doubts.

3: What is the curriculum structure for this Algebra and Trigonometry certification programme?

The Algebra and Trigonometry course curriculum is spread over 13 weeks and has over 30 modules. Moreover, it is designed according to the curriculum taught at colleges and universities.

4: How many lectures are there?

There are 36 audio-visual lectures of around 30 minutes duration for the Algebra and Trigonometry training programme by Swayam.

5: Are there any tests and assessments?

Yes, candidates will improve their understanding through tests and quizzes.