CBCS Mathematics Semester 1 (Calcutta University)  (Paperback, D. Chatterjee, B. K. Pal)

• UNIT-1: ALGEBRA 1. Theory of Equations: Polynomials 2. Complex Numbers 3. Rank of Matrix & System of Linear Equations • UNIT-2: DIFFERENTIAL CALCULUS 1. The Number System 2. Functions 3. Limit 4. Continuity 5. Differentiation 6. Successive Differentiation 7. Functions of Several Variables & Partial Derivatives 8. Curvature of Plane Curves 9. Rectilinear Asymptotes 10. Envelope 11. Singular Points: Node, Cusp, Isolated Point • UNIT-3: DIFFERENTIAL EQUATIONS 1. Mathematical Model & Solution of Differential Equations 2. Exact Differential Equations 3. Linear Equations of First Order 4. Differential Equations of the First Order but not of First Degree 5. Higher Order Linear Differential Equations with Constant Coefficients 6. Solution By Symbolic Operator 7. Solution Of Differential Equation by method of Undetermined Coefficients 8. Solution Of Differential Equation by method of Variation of Parameters 9. Euler's Linear Differential Equation • UNIT-4: GEOMETRY 1. Transformation of Co-ordinates 2. Pair of Straight Lines 3. General Equation of the Second Degree 4. Tangents 5. Poles And Polars 6. Polar Equation of Conics 7. The Sphere 8. Right Circular Cone • MULTIPLE CHOICE QUESTIONS[MCQ]