# ML0013 Mathematics D 6.0 credits

Course offering missing for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus ML0013 (Spring 2014–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

• Trigonometry: Triangles rates, formulas and equations, graphs, derivatives
• The derivative of ln functions, the derivative of the product and quotient, chain rule.
• Primitive functions and integrals, area calculation and other applications

### Intended learning outcomes

OVERALL GOALS The student will be given a basic understanding of and skills in mathematics, needed to be able to understand the mathematics courses, as part of the college and engineering programs.

Aims of the Course
Student sholuld after the course be able to:

• formulate, analyze and solve mathematical problems of importance for applications and study orientation with in-depth knowledge of concepts and methods learned in previous course
• use the unit circle to define the trigonometrically concepts, show trigonometrically relationships and provide complete solutions to simple trigonometric equations and use these in solving problems
• draw graphs of trigonometrically functions and use functions as models of real periodic processes
• derive and use formulas needed for transforming trigonometrically expressions in the solution of trigonometrically equations
• calculate the sides and angles of an arbitrary triangle
• using differentiation rules for trigonometric functions, logarithmic functions, composite functions, product and quotient of functions and apply these rules in solving problems
• use the second derivative in different application contexts
• explain the meaning of the concept of differential equation and give examples of various simple differential equations and recognize problem situations where they may occur
• define primitive functions and use them in applied problem solving
• explain the meaning of the concept of integral and clarify the relationship between the integral and derivative, and set up, interpret and use integrals of various types of basic applications

### Course disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Basic qualifications for university studies and Mathematics B from high school or equivalent.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Natur o Kultur
Ma4000 CD ISBN 978-91-27-41704-5
Formler och tabeller ISBN 978-91-27-72279-8

Konvergenta
Matematik-1000 övningsuppgifter i matematik på gymnasienivå kurs C, D och E. ISBN: 9197370800

## Examination and completion

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

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

### Examination

• TEN1 - Examination, 6,0 fup, betygsskala: 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.

When the written test is given bonus points can be counted, but only at the regular exam.

### Other requirements for final grade

The final score is calculated as described in course-PM is based on all parts.
Written exam

Required reports, oral and / or in writing, of the selected data continuously during the course.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### 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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web ML0013

### Offered by

ITM/Sustainable Production Development

### Main field of study

No information inserted

### Education cycle

Pre-university level