Program Overview

Course Overview

Course Description

The course "Mathematics for engineering 2 D" (IMAG2024) is an intermediate-level course that covers various topics in mathematics, including functions of several variables, partial differentiation, gradient, critical points, optimization, Taylor's theorem, and partial differential equations.

Course Details

• Credits: 7.5
• Level: Intermediate course, level II
• Course start: Spring 2026
• Duration: 1 semester
• Language of instruction: Norwegian
• Location: Gj黲ik
• Examination arrangement: School exam

Course Content

Basis Module

The course covers the following topics:

• Functions of several variables
• Partial differentiation, gradient
• Critical points and optimization
• Taylor's theorem with remainder
• Introduction to partial differential equations

Programme Module

The course also covers:

• Set theory
• Set operations and terminology
• Propositional logic
• Predicate logic and quantifiers
• Selected methods of proof
• Inference rules and admissible rules
• Basic number theory, modular arithmetic, and selected algorithms
• Basic graph theory

Learning Outcome

Knowledge

The candidate will have good knowledge of:

• Functions of several variables, including partial derivatives and their application to classification of stationary points and optimization
• Taylor's theorem and approximation by Taylor series
• Partial differential equations, their properties and applications
• Basic concepts and methods from propositional and predicate logic and set theory
• Selected forms of mathematical proof
• Basic number theory and modular arithmetic
• Terminology and selected algorithms for graphs
• Digital tools for analysis of mathematical problems

Abilities

The candidate will be able to:

• Find and interpret the partial derivatives of a function of several variables
• Approximate functions by Taylor's theorem and estimate the error with a remainder term
• Solve simple optimization problems with several variables
• Verify that a given function solves a partial differential equation
• Solve certain partial differential equations by computer, verify and interpret the results
• Apply basic concepts, results, and methods from logic and set theory
• Construct simple mathematical proofs
• Apply selected algorithms from basic number theory
• Apply basic concepts and results related to graphs and apply selected algorithms to small examples
• Apply digital tools to analyze mathematical problems

General Competence

The candidate will have good knowledge of, and be able to apply, a symbolic and formulaic mathematical apparatus that is relevant for communication in engineering sciences. The candidate will also have experience with applications of mathematical methods and digital tools to problems with their own and related specializations.

Learning Methods and Activities

The course will consist of lectures, exercises, and a project. Tasks will require both analytical and numerical methods with the use of digital tools.

Compulsory Assignments

• Compulsory assignments (exercises and a project)

Evaluation

The evaluation will consist of a 4-hour individual digital exam in Inspera with a grading scale of A-F. The compulsory assignments must be passed in order to take the exam.

Specific Conditions

Admission to a program of study is required, including Computer Science - Engineering (BIDATA) and some other programs.

Recommended Previous Knowledge

• Mathematics for engineering 1 or similar
• An introductory course in Python

Course Materials

Recommended course material will be announced at the start of the semester.

Credit Reductions

The course has academic overlap with several other courses, and credit reductions will be applied accordingly.

Examination

The examination arrangement is a school exam, and the grade will be based on a letter scale. The exam will be 4 hours long, and the allowed exam aids are a simple calculator (code D in the NTNU guidelines) and Python. The resit exam may be given as an oral examination.