# VB6100 - Mathematical methods 1

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours D

### Course content

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.

### Learning outcome

Knowledge The candidate

• knows and can use: a) concepts, results and methods from real analysis of single-variable functions related to limits, continuity, differentiation, 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 analyzing tools to visualize and solve mathematical problems.

### Learning methods and activities

Online lectures, online supervision, and gatherings. 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.

• Exercises

### Further on evaluation

There will be a digital exam at the end of the semester.

### Specific conditions

Compulsory activities from previous semester may be approved by the department.

Admission to a programme of study is required:
Continuing Education, Faculty of Engineering Science and Technology (TKIVTEVU)

### Course materials

Mathematical Methods 1 NTNU (Pearson, ISBN 978-1-83961-000-4), 2020. Notes posted on the subject's Blackboardside.

### Credit reductions

Course code Reduction From To
IMAT1001 10.0 AUTUMN 2021
IMAA1001 10.0 AUTUMN 2021
IMAG1001 10.0 AUTUMN 2021
More on the course
Facts

Version: 1
Credits:  10.0 SP
Study level: Further education, lower degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2022

Language of instruction: Norwegian

Location: Gjøvik

Subject area(s)
• Mathematics
Contact information
Course coordinator:

Department of Mathematical Sciences

Centre for Continuing Education and Professional Development

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100
Summer UTS School exam 100/100
• * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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