Your roadmap · आपका रोडमैप
- 1
Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
- 2
Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: Errors in Numerical ComputationUnit 2: Roots of Algebraic and Transcendental EquationsUnit 3: Interpolation
- 3
Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Numerical IntegrationUnit 5: Solution of Linear Systems
- 4
Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
- 5
Semester 4 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
- 6
Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 5 chapters · 21 topics
01Unit 1: Errors in Numerical Computation
4 topics+
- Significant digits and rounding
- Absolute, relative and percentage error
- Round-off and truncation errors
- Propagation of errors
02Unit 2: Roots of Algebraic and Transcendental Equations
5 topics+
- Bisection method
- Regula falsi method
- Newton-Raphson method
- Secant method
- Order of convergence
03Unit 3: Interpolation
4 topics+
- Finite differences - forward, backward
- Difference tables
- Newton's forward and backward formulas
- Lagrange's interpolation
04Unit 4: Numerical Integration
4 topics+
- Trapezoidal rule
- Simpson's 1/3 rule
- Simpson's 3/8 rule
- Comparison of errors
05Unit 5: Solution of Linear Systems
4 topics+
- Gauss elimination
- Gauss-Jordan method
- Jacobi and Gauss-Seidel iteration
- Diagonal dominance and convergence
About this course
You will be able to
- Calculate absolute, relative and percentage errors and round numbers correctly
- Find roots of equations by bisection, regula falsi and Newton-Raphson methods
- Build finite difference tables and interpolate with Newton and Lagrange formulas
- Evaluate definite integrals with the trapezoidal and Simpson's rules
- Solve systems of linear equations by Gauss elimination, Gauss-Jordan and Gauss-Seidel methods
Who it is for
- BCA students of Semester 4 (UP state universities, Lucknow University pattern)
- Students who need numerical methods for programming and scientific computing
What you need
- Mathematics-I (calculus and matrices)
- A scientific calculator
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
Questions
Which syllabus does this Mathematics-III course follow?
It follows the common UP state university BCA syllabus (University of Lucknow pattern) for BCA Semester 4. If your own university's syllabus differs, the centre follows your university's syllabus and unit order.
How is this different from Numerical Methods in Semester 5?
This paper builds the mathematics; Numerical Methods (Semester 5) adds ODEs and computer algorithms. The centre links both.
Do I need to program these methods?
Not for this exam, but the trainer shows short C programs for bisection and Newton-Raphson.
