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SMA 330 Mathematics

SMA 330 • NUMERICAL ANALYSIS 1

Canonical syllabus units, structured theorems, lecture notes, and past examination problems.

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Syllabus Units

Curriculum outline, core theorems, and revision problems.
10 Topics
Unit 01

Errors And Approximations In Numerical Computations

SMASMA 330330 ModuleModule 240909240909 094043094043

Lecture Objectives ……………………………………………………………………………………………………… Round-off and Truncation Errors …………………………………………………………………………… Absolute and Relative Errors …………………………………………………………………………………… Significant Figures ……………………………………………………………………………………………………… Propagation Errors ……………………………………………………………………………………………………… 1 General Formula for Propagated Error ……………………………………………………………… Self-test Questions ……………………………………………………………………………………………………… Further Reading …………………………………………………………………………………………………………
8 Verified Questions Study Topic →
Unit 02

Polynomials And Interpolation

SMASMA 330330 ModuleModule 240909240909 094043094043

Lecture Objectives ……………………………………………………………………………………………………… Round-off and Truncation Errors …………………………………………………………………………… Absolute and Relative Errors …………………………………………………………………………………… Significant Figures ……………………………………………………………………………………………………… Propagation Errors ……………………………………………………………………………………………………… 1 General Formula for Propagated Error ……………………………………………………………… Self-test Questions ……………………………………………………………………………………………………… Further Reading …………………………………………………………………………………………………………
9 Verified Questions Study Topic →
Unit 03

Polynomials And Synthetic Division

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
8 Verified Questions Study Topic →
Unit 04

Interpolation And Ploynomial Approximation

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
3 Verified Questions Study Topic →
Unit 05

Numerical Integration

SMASMA 330330 ModuleModule 240909240909 094043094043

Lecture Objectives ……………………………………………………………………………………………………… Round-off and Truncation Errors …………………………………………………………………………… Absolute and Relative Errors …………………………………………………………………………………… Significant Figures ……………………………………………………………………………………………………… Propagation Errors ……………………………………………………………………………………………………… 1 General Formula for Propagated Error ……………………………………………………………… Self-test Questions ……………………………………………………………………………………………………… Further Reading ………………………………………………………………………………………………………… Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
8 Verified Questions Study Topic →
Unit 06

Numerical Differentiation

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
0 Verified Questions Study Topic →
Unit 07

Composite Formulae And Romberg Integration

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
7 Verified Questions Study Topic →
Unit 08

Quadrature Methods

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
0 Verified Questions Study Topic →
Unit 09

Iteration Techniques For Non Linear Equations

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
10 Verified Questions Study Topic →
Unit 10

Newton Raphson And Secant Method

Page 1 --- 7/7/25, 5:30 PM SMA 330 Numerical Analysis Module Corrected COPY

Definition Computation of errors In point form, list the key words in the definition Make short notes on causes of errors and how to Encouraging participation of all learners Providing feedback Summarising the lesson Computation of propagated errors
24 Verified Questions Study Topic →