Engineering Mathematics-I - Prajwal Educational Academy

Master Your First Semester with Engineering Mathematics-I

The complete C-25 syllabus, simplified. This course features powerful “one-shot” video lectures for every module, strategically designed by a 30-year veteran instructor to build your foundation and guarantee exam success.

Enroll Now for ~~₹300~~ ₹150

Designed for First Semester Diploma Success

This course is essential for any student looking to build a rock-solid mathematical foundation and excel in their exams. It is perfectly tailored for:

First-semester engineering diploma students following the C-25 curriculum.
Students who want to master core concepts, not just memorize them.

Learners who prefer clear video explanations over confusing textbooks.
Students looking for efficient “one-shot” revisions for each module before exams.

Key Skills You Will Master

✅ Solve Complex Systems of Equations: Master the use of determinants and matrices to solve linear equations, a fundamental skill in engineering.

✅ Master Vector Algebra: Learn to apply vector products to solve real-world geometric and physics problems with confidence.

✅ Apply Advanced Trigonometry: Solve practical problems using trigonometric ratios and visualize functions for deeper understanding.

✅ Understand Complex Numbers & Limits: Grasp the algebra of complex numbers and learn to evaluate the limits of functions, a key concept for calculus.

Your Complete C-25 Syllabus, Covered Module-by-Module

Types of Matrices & Basic Operations (Addition, Subtraction, Multiplication)
Calculating the Determinant of a Matrix
Solving Systems of Equations using Cramer’s Rule
Finding the Adjoint and Inverse of a Matrix
Solving Simultaneous Linear Equations using the Matrix Inversion Method

Introduction to Vectors, Vector Types, and Vector Algebra
The Scalar (Dot) Product and its Applications
The Vector (Cross) Product and its Applications
Understanding and Applying the Scalar and Vector Triple Product

Mastering Allied and Compound Angles
Working with Multiple and Sub-Multiple Angle Formulae
Applying Transformation Formulae (Sum to Product & Product to Sum)
Solving Standard Trigonometric Equations
Understanding Inverse Trigonometric Functions
Properties of Triangles, including Sine and Cosine Rules

Introduction to Complex Numbers & Basic Algebra
Calculating Modulus, Amplitude, and using the Argand Diagram
Converting to Polar and Exponential Forms
Applying De Moivre’s Theorem for Powers and Roots

Understanding the Core Concept of Limits
Working with Key Standard Limits
Solving Limits using the Factorization Method
Solving Limits using the Rationalization Method

`Learn from a Master Educator`

`Shivanna M.`

With over 30 years of dedicated experience teaching mathematics to diploma and PUC students, Shivanna M. is the heart of our academy’s teaching philosophy. He possesses a unique ability to break down even the most challenging topics into simple, understandable concepts. His time-tested methods and deep mastery of the curriculum ensure that every student builds a clear, strong, and reliable foundation for success.

`Enroll Now and Build Your Foundation for Success`

`One-Time Payment of ₹300 ₹150`

✅ Lifetime Access to All "One-Shot" Video Lectures
✅ Complete C-25 Syllabus Coverage for Engineering Mathematics-I
✅ Downloadable PDF Notes for Quick Revision (like the sample you saw)
✅ Expert Instruction from a 30-Year Veteran Teacher

Enroll & Start Mastering Math Now

`Frequently Asked Questions`

This course is taught exclusively by Shivanna M., a master educator with over 30 years of experience in teaching mathematics to 1st semester diploma students.

After you enroll, you will have lifetime access to all course materials, including all videos and downloadable notes. Study at your own pace, anytime.