course-details-portlet

TMA4100 - Mathematics 1 - Single variable calculus

About

Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Passed/Failed

Evaluation Weighting Duration Grade deviation Examination aids
Work 20/100
Home examination 80/100 4 hours

Course content

Limits, continuity, differentiation, and integration of functions of one variable. The intermediate value theorem, the mean-value theorem, extreme values, transcendental functions, implicit differentiation, related rates, indeterminate forms, Newton's method. Techniques of integration and numerical integration. Riemann sums, the definite integral, and the fundamental theorem of calculus. Area, volume, arclength, area of surfaces of revolution. Sequences, series, and power series. Taylor series, Taylor's formula. First order separable and linear differential equations. Euler's method. Examples of mathematical modelling and from applications to science, technology, and economy.

Learning outcome

1. Knowledge. The student understands and is able to recognize and apply concepts, results, and methods from single-variable analysis which deals with limits, continuity, differentiation, integration, convergence of sequences and series, Taylor polynomials, and Taylor series. The student understands and is able to apply basic numerical methods for solution of nonlinear equations, differential equations, and integration, and is aware of the possibilities and limitations that lie in the use of mathematical software. 2. Skills. The student is able to apply his or her knowledge of single-variable mathematical analysis to formulate and solve simple problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.

Learning methods and activities

Lectures, compulsory exercises. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (80%) and exercises (20%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. The exercises only count if they have a positive effect on the final grade. Retake of examination may be given as an oral examination.

Compulsory assignments

  • Exercises

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

Specific conditions

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

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5003 7.5
MA1101 3.7
MA1102 3.7
MA6102 3.7
MA0001 6.0 SPRING 2009
MA0003 6.0 SPRING 2009
MA6101 3.7 AUTUMN 2009
TMA4101 3.7 AUTUMN 2020
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: Norwegian

Location: Trondheim

Subject area(s)
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences

Examination

Examination arrangement: Portfolio assessment

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Work 20/100
Room Building Number of candidates
Autumn ORD Home examination (1) 80/100

Release
2022-01-07

Submission
2022-01-07


09:00


13:00

INSPERA
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.
Examination

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

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