Course - Mathematical methods 1 - IMAG1001
IMAG1001 - Mathematical methods 1
Examination arrangement: Home exam
|Evaluation||Weighting||Duration||Grade deviation||Examination aids|
|Home exam||100/100||4 hours|
Calculation-oriented mathematics is included in all topics relevant. Systems of linear equations, Gauss-Jordan-elimination, basic matrix algebra, determinants. Limits and continuity, differensiation and integration of functions in one variable, maxima and minima, implicit differensiation and trigonometric functions, related rates, differentials and linearization, L'Hopitals rule, Newton's method and the bisection method. Riemannsums and the fundamental theorem in calculus, integral functions, definite and and indefinite integrals, basic integration techniques, substitution and partial integration, numerical integration by the rectangle and trapezium methods, improper integrals. Area, volume and arc length. Modeling with differential equations, first order separable and linear differential equations, Euler's method, second order linear differential equations with constant coefficients.
Knowledge The candidate
- knows and can use: a) concepts, results and methods from real analysis of single-variable functions related to limits, continuity, differensiation, integration and differential equations. b) concepts, results and methods related to systems of linear equations. c) numerical methods for solving equations, integrals and differential equations.
- knows some engineering applications of mathematics
- understand that change per unit of time can be measured, calculated, summed up and included in equations
- knows both possibilities and limitations in the use of Mathematical software.
Skills The candidate can:
- Use data tools to make numerical calculations.
- manipulate symbols and formulas
- solve problems by analytical methods.
General competence The candidate should be able to use mathematics to model and solve theoretical and practical problems as they will meet them in their subject area in the study and in professional life. Candidates should be able to use databased simulations and analysing tools to visualize and solve mathematical problems.
Learning methods and activities
Lectures and exercises. Exercises will be based on assignments and digital learning elements using Blackboard. Use of mathematical software will also be included. Compulsory work: At least 4 of 6 exercises must be approved for admission to the exam.
Further on evaluation
There will be a digital exam at the end of the semester.
Compulsory activities from previous semester may be approved by the department.
Admission to a programme of study is required:
Automation and Intelligent Systems (BIAIS)
Chemical engineering (FTHINGKJ)
Civil Engineering (BIBYG)
Civil Engineering (BIBYG-F)
Civil Engineering (BIBYGG)
Computer Science (BIDATA)
Electrical Engineering (BIELEKTRO)
Logistics engineering (FTHINGLOG)
Materials engineering (FTHINGMAT)
Mechanical Engineering (BIMAS-F)
Mechanical Engineering (BIMASKIN)
Oil and Gas Technology (FTHINGOG)
Renewable Energy (BIFOREN)
Ship Design, Engineering (699SD)
Recommended previous knowledge
None in addition to admission requirements.
Mathematical Methods 1 NTNU (Pearson, ISBN 978-1-83961-000-4), 2020. Notes posted on the subject's Blackboardside.
Credits: 10.0 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2021
Language of instruction: Norwegian
Examination arrangement: Home exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Home exam (1)
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
- 1) Merk at eksamensform og karakterregel er endret som et smittevernstiltak i den pågående koronasituasjonen.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"