MA-184 Calculus 2
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Rolf Tomas Nossum
- Lecture Semester:
- Spring
- Teaching language:
- Norwegian
- Duration:
- 1 term
The course is connected to the following study programs
- Industrial Mathematics, Bachelor's Programme
- Advanced Teacher Education level 8-13, 5-year Master's Programme
- Mathematics, 1-year Programme
Teaching language
NorwegianRecommended prerequisites
MA-183, INF-120
Course contents
Sequences and series of reals numbers and functions, power series. Convergence and divergence. Differentiation and anti-differentiation of power series. Analysis of non-elementary functions by means of power series. Parametric curves in two dimensions. Functions of two variables, partial differentiation, gradient, level curves, tangent plane, optimization with and without constraints. Lagrange’s method. Double- and triple integral. Applications.
Learning outcomes
Upon successful completion of the course, the student will be able to
-
Explain and apply key concepts related to sequences and series of numbers and functions.
-
Explain and apply key concepts related to elementary real valued functions of two variables.
-
Analyze the graphs of functions of two variables and optimize such functions over given a set of constrains.
-
Find iterated anti-derivatives and apply these.
Examination requirements
Approved mandatory hand-ins. See Canvas for more information.
Teaching methods
Lectures, group work, mandatory hand-ins, and peer review. Estimated workload of the course is 267 hours.
Evaluation
The faculty member in charge of the module confers with the student rep which form of evaluation will be organized, and whether midterm or post hoc. Cfr the University regulations on quality assurance, chapter 4.1.
Admission for external candidates
No
Offered as Single Standing Module
Subject to capacity constraints
Assessment methods and criteria
5-hours written exam under supervision. The exam is graded.
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
Course | Reduction of Credits |
---|---|
MA-216 – Calculus 2 | 10 |