Study Guide

Objective

After completing the course the student can
- use derivatives to analyze functions
- use differentials to approximate changes and errors
- use integrals to calculate e.g. areas and volumes, mean values and square mean values
- solve integrable and 1. order separable differential equations
- use relevant mathematical denotation correctly

Content

- Limits
- The derivative
- Differentials
- Antiderivatives and the definite integral
- Applications of differentiation and integration
- On differential equations

Materials

1. Calculus (3rd edition), Fred Safier, SCHAUM’S outlines.
2. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
3. Formula book: Technical formulas

Teaching methods

Teacher-directed classroom activities, group work and independent work; project work, reports, task-based (homework)

International connections

The contents of the course give understanding to use the derivatives to analyze functions, use differentials to approximate changes and errors, solve separable and linear first order differential equations, use integrals to calculate e.g. areas and mean values and square mean values of functions and use relevant mathematical denotation correctly, moreover the students can use relevant mathematical denotation correctly.
The students will team up for a project work and writing reports on some current and relevant aspect of math, which gives everyone an opportunity to understand the topic; all students will develop their mathematical proficiency.
Task-based assessment supports learning and is continuous throughout the course. Studying in an international group develops students’ ability to intercultural communication and multicultural collaboration.

Student workload

Classroom activities: Classroom activities participation: 50 h
Homework: Working on homework sets 1-6: 30 h
Project work: Research, presentation material, presentation: 20h
Final exam: Preparing for the final exam : 25 h

Content scheduling

• Limits
• The derivative
• Differentials
• Antiderivatives and the definite integral
• Applications of differentiation and integration
• On differential equations

Further information

All practical information on timetables, project work, grading etc., as well as links to web materials are provided in ITS Learning

Evaluation scale

H-5

Assessment methods and criteria

Assessment Method
1. 30% of the homework is MANDATORY and students can get points if they do more than 50%.

2. Points distributed as follow:
i. First Exam = 20 points
ii. Second Exam = 20 points
iii. Homework =10 points
Total = 50 points

Assessment criteria, fail (0)

Fail in the final exam and not doing the assignments.
collect (0--25) points

Assessment criteria, satisfactory (1-2)

Collect (25--35) points in the exams and doing more 50% of the assignments.

Assessment criteria, good (3-4)

Collect (35--45) points in the exams and doing at least 75% of the assignments

Assessment criteria, excellent (5)

Collect (45--50) points in the exam and doing at least 85% of the assignments

Qualifications

Precalculus course or equivalent skills