Mathematics BA (A), Basic Calculus and Mathematical Statistics, 7.5 credits

Aim

The student shall, during the course, acquire basic knowledge of derivatives and integrals with applications as well as of elementary mathematical statistics.

Course objectives

After completed course the student shall be able to
- differentiate simple functions
- solve applied problems using differentiation
- integrate simple functions
- solve applied problems using integrals
- master elementary descriptive statistics
- carry out calculations concerning random variables and probability density functions
- apply inference theory in simple cases
- use linear regression to solve simple problems.

Content

Logarithm and exponential functions. Trigonometric functions and their graphs. Differentiation of simple functions, products and quotients of functions as well as compositions of functions. Applications of derivatives. Introduction to differential equations. Integration of simple functions. Applications of integrals. Descriptive statistics. Probability theory. Random variables and probability density functions. Inference (point estimation, interval estimation and hypothesis testing). Linear regression.

Entry requirements

General entry requirements
(Äldre gymnasiebetyg)

Selection rules and procedures

The selection process is in accordance with the Higher Education Ordinance and the local order of admission.

Teaching form

The teaching consists of lectures.

Examination form

T100: Written Exam, Calculus, 3.5 Credits
Grade scale: Seven-grade scale, A, B, C, D, E, Fx and F. Fx and F represent fail levels.

T200: Written Exam, Mathematical Statistics, 4 Credits
Grade scale: Seven-grade scale, A, B, C, D, E, Fx and F. Fx and F represent fail levels.

The final grade is based on a weighted assessment of how well the course elements have been completed.

Grading criteria for the subject can be found at www.miun.se/gradingcriteria.

The examiner has the right to offer alternative examination arrangements to students who have been granted the right to special support by Mid Sweden University’s disabilities adviser.

Examination restrictions

Students are entitled to three examination opportunities within one year according to the examination format given in this version of the course syllabus. After the one-year period, the examination format given in the most recent version of the course syllabus applies.

Grading system

Seven-grade scale, A, B, C, D, E, Fx and F. Fx and F represent fail levels.