Algebra and Trigonometry
This course provides a fundamental understanding of these two mathematics areas. Join this program to learn the basic aspects of these two streams.
Online
15 WeeksQuick 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
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)
Yes, engineering students in their first year can join this course to learn about the basics of trigonometry and algebra.
Swayam offers discussion forums where students can interact with the faculty to clear doubts.
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.
There are 36 audio-visual lectures of around 30 minutes duration for the Algebra and Trigonometry training programme by Swayam.
Yes, candidates will improve their understanding through tests and quizzes.