What This Document Is
This is a sample midterm examination for MATH 128A: Numerical Analysis, offered at the University of California, Berkeley. It’s designed to assess understanding of core concepts covered in the first portion of the course. The exam format is closed book and closed notes, emphasizing the importance of demonstrating a strong grasp of underlying principles and problem-solving techniques. It’s a valuable resource for students preparing for their own evaluations in this challenging subject area.
Why This Document Matters
This sample midterm is an essential study tool for students currently enrolled in, or planning to take, Numerical Analysis (MATH 128A) at UC Berkeley. It’s particularly helpful for gauging your preparedness, identifying areas needing further review, and becoming familiar with the expected style and rigor of questions. Utilizing this resource allows you to practice applying theoretical knowledge to practical problems under exam-like conditions, building confidence and improving performance. It’s best used after completing relevant coursework and assigned readings.
Topics Covered
* Root Finding Techniques (Bisection Method, Fixed-Point Iteration, Newton Iteration)
* Polynomial Interpolation
* Error Analysis (Absolute Error, Relative Error, Significant Digits)
* Convergence Analysis of Iterative Methods
* Application of numerical methods to solve equations
What This Document Provides
* A full set of exam questions representative of the course material.
* Clear instructions regarding exam conditions and expectations.
* Problems requiring justification of answers, emphasizing conceptual understanding.
* Questions designed to test the application of numerical methods to solve mathematical problems.
* A framework for understanding the types of problems and the level of detail expected on the actual midterm examination.
