SJMATHTUBE's Engineering Mathematics I (IOE Exam Preparation Series for First Semester)

Derivatives and their Applications

• Higher Order Derivative
• Leibnitz Theorem Part 1
• Leibnitz Theorem Part 2
• Rolle's Theorem
• Lagrange's Theorem
• Cauchy's Theorem
• Maclaurin's Series
• Asymptotes Part 1
• Asymptotes Part 2
• Curvature Part 1
• Curvature Part 2
• Curvature Part 3
• Curvature Part 4
• Curvature Part 5
• Curvature Part 6
• Curvature Part 7
• Curvature Part 8
• Curvature Part 9

Integration and its Applications

• Definite Integrals Part 1
• Definite Integrals Part 2
• Definite Integrals Part 3
• Definite Integrals Part 4
• Definite Integrals Part 5
• Definite Integrals Part 6
• Improper Integrals Part 1
• Improper Integrals Part 2
• Improper Integrals Part 3
• Improper Integrals Part 4
• Improper Integrals Part 5
• Improper Integrals Part 6
• Differentiation Under Integral Sign Part 1
• Differentiation Under Integral Sign Part 2
• Differentiation Under Integral Sign Part 3
• Differentiation Under Integral Sign Part 4
• Differentiation Under Integral Sign Part 5
• Differentiation Under Integral Sign Part 6
• Differentiation Under Integral Sign Part 7
• Differentiation Under Integral Sign Part 8
• Reduction Formula Part 1
• Reduction Formula Part 2
• Reduction Formula Part 3
• Reduction Formula Part 4
• Reduction Formula Part 5
• Beta Gamma Functions Part 1
• Beta Gamma Functions Part 2
• Beta Gamma Functions Part 3
• Beta Gamma Functions Part 4
• Beta Gamma Functions Part 5
• Beta Gamma Functions Part 6
• Beta Gamma Functions Part 7
• Beta Gamma Functions Part 8
• Areas using Integration Part 1
• Areas using Integration Part 2
• Areas using Integration Part 3
• Areas using Integration Part 4
• Areas using Integration Part 5
• Areas using Integration Part 6
• Rectification Part 1
• Rectification Part 2
• Volume of Revolution

Plane Analytic Geometry

• Translation and Rotation Part 1
• Translation and Rotation Part 2
• Derivation of Standard Ellipse
• Derivation of Standard Hyperbola
• Basic Problems of Ellipse
• Proof of Tangent Equation to an Ellipse in Slope Intercept Form
• Proof of Tangent Equation to an Ellipse given the Point of Tangency
• Tangents and Normals of Ellipse
• General Conic Section PDF
• Tracing of Conics Part 1
• Tracing of Conics Part 2

Ordinary Differential Equations and their Applications

• Type 0 & Type 1
• Type 2
• Type 3
• Type 4
• Important Past Paper Questions
• Variable Separable
• Linear Differential
• Homogeneous
• Reducible to Variable Separable
• Bernoulli's Differential Equation
• Reducible to Homogeneous Differential Equation Part 1
• Reducible to Homogeneous Differential Equation Part 2
• Solvable for P
• Solvable for x & y Part 1
• Solvable for x & y Part 2
• Clairaut's Equation
• Method of Variation of Parameters
• Answer to Subscriber's Question