COURSE SYLLABUS
Basic Calculus, 7.5 credits
Grundläggande analys, 7,5 högskolepoäng
Course Syllabus for students Spring 2023
| Course Code: | TGAG19 |
| Confirmed by: | Dean Dec 4, 2018 |
| Revised by: | Director of Education Nov 5, 2021 |
| Valid From: | Jan 1, 2022 |
| Version: | 3 |
| Education Cycle: | First-cycle level |
| Disciplinary domain: | Natural sciences
|
| Subject group: | MA1
|
| Specialised in: | G1N
|
Intended Learning Outcomes (ILO)
After a successful course, the student shall
Knowledge and understanding
- display knowledge of the elementary functions and their basic properties
Skills and abilities
- demonstrate ability to read and interpret mathematical text on a basic level
- demonstrate skills of evaluating limits and using basic continuity theorems
- demonstrate skills of calculating derivatives and basic integrals involving elementary functions
- demonstrate ability to use limits and derivatives in order to analyze the properties of a given function and to methodically solve optimization problems
- demonstrate skills of evaluating generalized integrals
- demonstrate ability to solve basic differential equations of 1st and 2nd order
Contents
The course will include the basic theory of elementary functions, derivatives and integrals. It will also focus on mathematical reasoning, logic and problem solving in general with the aim to support the use of mathematics in an engineering context.
The course includes the following elements:
- Elementary function theory
- Limits and continuity
- Derivatives, differentiation rules, applications using the derivative to solve optimization problems
- Integrals, integration techniques, applications using integrals to solve geometrical problems
- Differential equations
Type of instruction
Lectures and tutorials.
The teaching is conducted in English.
Prerequisites
General entry requirements and Physics 1, Chemistry 1, Matematics 3c or Physics A, Chemistry A, Matematics D and English 6 or English B in the Swedish upper secondary school system or international equivalent (or the equivalent).
Examination and grades
The course is graded 5,4,3 or Fail.
Registration of examination:
| Name of the Test | Value | Grading |
|---|
| Written exam | 7.5 credits | 5/4/3/U |
Course literature
The literature list for the course will be provided 8 weeks before the course starts.
https://openstax.org/subjects/math
Parts of “Pre-calculus and “Calculus volume 1-3” will be used according to reading instructions.
Alternative literature:
Title: Calculus – A complete course
Author: Robert A. Adams
ISBN: 9780134154367
