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LT1000 Calculus for Teachers 7.5 credits

Administer About course

The need for professionals with adquate mastery of mathematics and mathematics didactics competencies is crucial for bringing the many innovations to reality. This course is designed to equip students with the knowledge of the pervasive and invisible roles of mathematics in this digital society. You are not only intruced to the varous mathematical concepts and their applications, but skills, processes, and knowledge that will prepare you for the challenges in the 21st-century environment.

Choose semester and course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Application

For course offering

Autumn 2024 Start 28 Oct 2024 programme students

Application code

50827

Headings with content from the Course syllabus LT1000 (Autumn 2022–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

This course is designed to help the students to develop an understanding of the fundamentals of mathematical analysis of functions of one variable and its applications. Focus will be put on exploring real applications where the students are expected to use their mathematical knowledge, knowledge from the concepts in mathematical analysis, and methods to solve applied problems and make decisions. Content that is brought up:

●       Functions

●       The Cartesian coordinate plane and distance (the gradient of a line, the equation of the line, parallel and perpendicular lines)

●       Change rate (shift, velocity and acceleration)

●       Limits and continuity.

●       The meaning of mathematical analysis and its applications (differences between differential and integral calculus)

● Leibniz's notation

Intended learning outcomes

After passing the course, the student should be able to:

1. perform operations on functions

2. Explain when a function has an inverse and how one can find the inverse

3. Explain how one can outline the graph of a function, based on transformation of graphs (vertical and horizontal shifts)

4. Explain the concepts of limit and continuity

5. Examine the concepts and the processes for derivation and integration of functions of one variable,

6. Outline and interpret function graphs carefully by using differential calculus

7. Use mathematical analysis to find maxima and minima, and calculate the area below a given curve 

8. Develop creative and innovative ways to teach mathematical analysis in primary and lower-secondary school

Literature and preparations

Specific prerequisites

General entry requirements.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

No information inserted

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • KON1 - Partial examinations, 2.0 credits, grading scale: A, B, C, D, E, FX, F
  • PRO1 - Project, 2.0 credits, grading scale: A, B, C, D, E, FX, F
  • TEN1 - Written examination, 3.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

-        At group project, all have in the group responsibility for the work of the group.

-        At examination, each student should honestly report help that has been received and sources that have been used.

-        At oral examination, each student should be able to give an account of the whole assignment and the whole solution. 

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Profile picture Ernest Ampadu

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

ITM/Learning in Engineering Sciences

Main field of study

Technology

Education cycle

First cycle

Add-on studies

No information inserted

Additional regulations

Overlapping course

HF1006, HF1008, IX1304, SF1625, SF1685, ML1000, partly overlapping