MTH 2232 units200 LevelSecond Semester

Introduction to Numerical Analysis

Foundation course — taken across University of Uyo programmes, not one department

MTH 223 (Introduction to Numerical Analysis) is a 2-unit, 200 Level course taught in the Second Semester at the University of Uyo, Akwa Ibom State, Nigeria. It is a foundation course taken by undergraduates across the university's programmes, not one department's course.

How to compute answers to mathematical problems that have no closed-form solution, and how to know when the computed answer is wrong. Error, convergence and stability — the reason floating-point arithmetic sometimes betrays you.

On Areté, MTH 223 comes with

  • 2 recommended textbooks
  • an AI tutor that has read this course’s outline and notes
Sign in to study MTH 223

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Course outline

  1. 01Sources of error: round-off, truncation, and floating-point representation
  2. 02Absolute, relative and percentage error; error propagation and conditioning
  3. 03Solution of nonlinear equations: bisection, false position, Newton–Raphson, secant method
  4. 04Convergence criteria and rates of convergence
  5. 05Solution of linear systems: Gaussian elimination, LU decomposition, pivoting
  6. 06Iterative methods: Jacobi and Gauss–Seidel
  7. 07Interpolation: Lagrange and Newton divided-difference polynomials; spline interpolation
  8. 08Numerical differentiation and integration: trapezoidal rule, Simpson's rules
  9. 09Numerical solution of ordinary differential equations: Euler and Runge–Kutta methods

Recommended textbooks

  • Numerical Analysis — Richard L. Burden & J. Douglas Faires

    10th ed. — the standard text, with algorithms in pseudocode

  • Numerical Methods in Engineering with Python 3 — Jaan Kiusalaas

    Implements each method in Python — ideal for this programme

How to pass MTH 223

  • Implement every method in Python as you learn it — a method you have coded is a method you understand
  • Newton–Raphson is the same algorithm family as gradient descent; recognising that makes UUY-DTS 313 far less mysterious
  • Learn WHY floating-point comparison with == is unsafe; this single fact prevents a whole class of real bugs in data pipelines
  • Exam questions usually ask for two or three iterations by hand — practise tabulating iterations neatly and carrying enough decimal places

MTH 223 — questions and answers

What is MTH 223 at the University of Uyo?
MTH 223 (Introduction to Numerical Analysis) is a 2-unit, 200 Level course taught in the Second Semester at the University of Uyo, Akwa Ibom State, Nigeria. It is a foundation course taken by undergraduates across the university's programmes, not one department's course. How to compute answers to mathematical problems that have no closed-form solution, and how to know when the computed answer is wrong. Error, convergence and stability — the reason floating-point arithmetic sometimes betrays you.
Which programmes take MTH 223?
MTH 223 is a foundation course taken by undergraduates across University of Uyo programmes — it belongs to the university, not to one department. Whatever your department, Areté covers it with the same outline, textbooks and study tips.
What topics are covered in MTH 223?
The MTH 223 outline covers 9 topics: Sources of error: round-off, truncation, and floating-point representation; Absolute, relative and percentage error; error propagation and conditioning; Solution of nonlinear equations: bisection, false position, Newton–Raphson, secant method; Convergence criteria and rates of convergence; Solution of linear systems: Gaussian elimination, LU decomposition, pivoting; Iterative methods: Jacobi and Gauss–Seidel; Interpolation: Lagrange and Newton divided-difference polynomials; spline interpolation; Numerical differentiation and integration: trapezoidal rule, Simpson's rules; Numerical solution of ordinary differential equations: Euler and Runge–Kutta methods.
What textbooks are recommended for MTH 223?
Recommended reading for MTH 223: Numerical Analysis by Richard L. Burden & J. Douglas Faires; Numerical Methods in Engineering with Python 3 by Jaan Kiusalaas.
How do I pass MTH 223?
Implement every method in Python as you learn it — a method you have coded is a method you understand Newton–Raphson is the same algorithm family as gradient descent; recognising that makes UUY-DTS 313 far less mysterious Learn WHY floating-point comparison with == is unsafe; this single fact prevents a whole class of real bugs in data pipelines Exam questions usually ask for two or three iterations by hand — practise tabulating iterations neatly and carrying enough decimal places
Where can I find MTH 223 lecture notes and past questions?
Areté (https://www.aretecyb.tech/courses/mth-223) carries 2 recommended textbooks for MTH 223, plus an AI tutor that has read the outline. It is free for University of Uyo students — sign in with your email, no password.

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