Mathematics - I (BT-1002)-Common (B.TECH.) | RGPV

---

• Syllabus

• Syllabus - Mathematics - I (BT-1002)

• Recapitulation of Mathematics

• Basics of Differentiation
• Rolle’s and Lagranges Theorem
• Tangents and Normals
• Indefinite Integral

• Ordinary Derivatives & Applications

• Expansion of functions by Maclaurin’s & Taylor’s Theorem
• Maxima and Minima of functions of two variables
• Curvature
• Curve Tracing

• Partial Derivatives & Applications

• Definition
• Euler’s Theorem for Homogeneous Functions
• Differentiation of Implicit Functions
• Total Differential Coefficient
• Transformations of Independent Variables
• Jacobians
• Approximation of Errors

• Integral Calculus

• Definite Integrals as a Limit of Sum
• Application in Summation of series
• Beta and Gamma functions

• Applications of Integral Calculus

• Multiple Integral
• Change of Variables
• Change the Order of Integration
• Applications of Multiple Integral in Area, Volume, Surfaces & Volume of Solid of Revolution