CS-60 FOUNDATION COURSE IN MATHEMATICS IN COMPUTING
Objectives
The students who haven’t studied Mathematics at 10+2 level are required to do CS-60 in the first semester of MCA programme. You are advised to clear CS-60 along with the first year of MCA. However, all students have to successfully complete the 1st and 2nd semester courses, as well as CS-60 and CIC (wherever applicable) before reregistering for MCA 5th semester.
No assignments need to be submitted for CS-60. Also, the University offers no counseling sessions for CS-60 course. Students need to appear only for the Term End Examination for CS-60. After completion of CS-60, they would not get any certificate, however the marks will be reflected in the MCA grade card under the non-credit course column. This course (CS-60) does not add to the credits of MCA programme and the marks won’t be counted in the grand total.
Students need to secure at least 50% marks in the Term end examination for CS-60 to be declared as successful. The syllabus is shown below:
Syllabus
Block 1 Elements of Differential Calculus
Unit 1
Real numbers and functions
Unit 2
Limits and Continuity
Unit 3
Differentiation
Unit 4
Derivatiives of Trigonometirc Functions
Unit 5
Derivatives of Some Standard Functions
Block 2 Drawing Curves
Unit 1
Higher order Derivatives
Unit 2
The Ups And Downs
Unit 3
Geometrical Properties Of Curves
Unit 4
Curve Tracing
Block 3 Integral Calculus
Unit 1
Definite Integral
Unit 2
Methods of Integration
Unit 3
Reduction Formulas
Unit 4
Integration of Rational and Irrational
Functions
Block 4 Application of Calculus
Unit 1
Applications of Differential Calculus
Unit 2
Area under a Curve
Unit 3
Further Application of Integral Calculus
Block 5 Solutions of Polynomial Equations
Unit 1
Sets
Unit 2
Complex Numbers
Unit 3
Cubic and Biquadratic Equations
Block 6 Equations and Inequalities
Unit 1
System of Linear Equations
Unit 2
Cramer’s Rule
Unit 3
Inequalities
Block 7 Conics
Unit 1
Preliminaries in Plane Geometry
Unit 2
The Standard Conics
Unit 3
General Theory Of Conics
Block 8 The Sphere, Cone And Cylinder
Unit 1
Preliminaries in Three-Dimensional Geometry
Unit 2
The Sphere
Unit 3
Cones and Cylinders
Block 9 Conicoids
Unit 1
General Theory of Conicoids
Unit 2
Central Conicoids
Unit3
Paraboloids