Courses: MAT101 Elementary Calculus I - Autumn 2021
Credits
10.0Language of Instruction
Norwegian
Teaching semester
Autumn
Objectives and Content
Objectives:
The course aims to give the students an elementary introduction to functions of one variable, exponential and trigonometric functions, differentiation and integration, vectors, simple differential equations, extremal points for functions of two variables.
Content:
The course contains an elementary introduction to functions of one variable, exponential and trigonometric functions, differentiation and integration, vectors, simple differential equations, extremal points for functions of two variables.
Learning Outcomes
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
The student
- has insight in the properties of basic functions such as polynomial functions, exponential functions, and trigonometric functions.
- can differentiate functions formed by the basic functions, and they know basic techniques for evaluating indefinite and definite integrals involving these functions
- can discuss the graphs of functions of one variable, basic vector algebra with simple geometrical applications
- can find and classify critical points for functions of two variables
- can model simple situations involving exponential functions and simple differential equations, and find solutions for the model equations
Skills
The student
- is able to solve problems involving basic functions such as polynomial functions, exponential functions, and trigonometric functions
- is able to differentiate functions formed by the basic functions, and the student can apply basic techniques for evaluating indefinite and definite integrals involving these functions
- is able discuss the graphs of functions of one variable, and is able to apply basic vector algebra on simple geometrical applications
- is able to find and classify critical points for functions of two variables
- is able to model simple situations involving exponential functions and simple differential equations, and is able tofind solutions for the model equations
General competence
The student
- can basic mathematical methods and the student can apply them to solve simple practical problems.
Recommended Previous Knowledge
R1 (Intermediate level of mathematics from Norwegian high school) or S1+S2
Credit Reduction due to Course Overlap
MAT111: 5 ECTS, ECON140: 7 ECTS, MAT105: 5 ECTS
Compulsory Assignments and Attendance
Forms of Assessment
Written examination: 5 hours
Examination support materials: Textbook and non- programmable calculator, according to model listed in faculty regulations
Due to the pandemic, Autumn semester 2021 has the following changes in assessment:
- Digital exam from home
- Grading scale Pass/Fail
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Due to the measures taken to avoid the spread of Covid-19, UiB is closed for on-campus assessment. As a consequence, the following changes is made to assessment autumn semester 2020:
- Grading scale ¿Pass/Fail¿ instead of ¿A-F¿