DI02000021 · Semester 2 · 5G scheme
Engineering Mathematics
Notes and solutions following the Gujarat Technological University (GTU) syllabus for DI02000021. Independent material — not issued by the university.
Materials
Complete Book
The whole syllabus, unit by unit, written for the exam.
Complete Book
52 pages
Premium Preview · 19 pages
Past Papers
Original question papers from previous exams.
PYQ Solutions
Past university papers, fully solved.
Solved past papers — detailed answers
30 pages · English + ગુજરાતી
Premium Preview · 11 pages
Syllabus units
Unit 1: Matrices
- 1.2 Types of Matrices
- 1.3 Addition, Subtraction and multiplication by scalar of matrices
- 1.4 Product of two matrices
- 1.5 Adjoint and Inverse of a matrix of order 2X2 and 3X3.
- 1.6 Solution of Simultaneous linear equations of two variables.
Unit 2: Differentiation and its Applications
- 2.3. Chain Rule
- 2.4. Derivative of Implicit functions
- 2.5. Derivative of Parametric functions
- 2.6. Logarithmic Differentiation
- 2.7. Successive Differentiation up to second order
- 2.8. Applications: Velocity, Acceleration, Maxima & Minima
Unit 3: Integration and its Applications
- 3.2 Working rules and Integral of standard functions.
- 3.3 Method of substitution.
- 3.4 Integration by parts.
- 3.5 Definite Integral and its properties.
Unit 4: Differential Equations
- 4.1 Concept and Definition, Order and Degree of differential equation.
- 4.2 Solution of DE of first degree and first order by Variable Separable method.
- 4.3 Solution of linear Differential equation.
Unit 5: Complex Numbers
- 5.1 Concept of Complex number.
- 5.2 Algebra of Complex numbers.
- 5.3 Conjugate, Modulus and inverse of Complex numbers.
- 5.4 Argument and Polar form of a Complex number.
- 5.5 De Moivre's Theorem and related simple examples.
- 5.6 Square root of a Complex number and cube root of unity.
About this course
This course is an extension of the course Mathematics-I of first semester namely Engineering Mathematics. The course is designed to inculcate its applications in relevant branch of engineering and technology using the techniques of Differentiation, Integration, Differential equations, Matrix theory and Complex numbers. The course is structured with an emphasis on multidisciplinary learning and skill development, ensuring that students can apply mathematical techniques and concepts effectively in their vocational and technical areas. Its elements are designed to be thorough, hands-on, and aligned with both academic standards and professional expectations.