Differential Calculus (3 cr)

Objectives (course unit)

After completing this course student is able to:
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic concepts of series

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential, Series, Taylor Series

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Exam schedules

Exam will be held on Tuesday 3rd of March. There will also be two resit exams during the 4th period on Wednesdays 1st of April 2015 and 22th of April.

Evaluation methods and criteria

Grading (0-5) is based on weekly exercises and final exam. Maximum score for the exam is 30 points, and additional points (max 4) are awarded for completing weekly homework exercises. To pass the course a student has to get al least 40 % of the maximum points in the exam.

Teaching methods

lectures,
guided exercises
collaborative learning
exam

Learning materials

All study material will be available on the course Tabula page (tabula.tamk.fi) in pdf format. Course enrollment key for the Tabula page will be given on the first lecture.

Student workload

Total work 81 hours.
lectures + guided exercises + collaborative learning 34 hours, exam 3 hours, rest 44 hours independent studying

Content scheduling

Contents and corresponding dates can be found on Tabula.

Completion alternatives

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Practical training and working life cooperation

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International connections

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Further information

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Assessment criteria - fail (0) (Not in use, Look at the Assessment criteria above)

Student doesn't pass the final exam.

Assessment criteria - satisfactory (1-2) (Not in use, Look at the Assessment criteria above)

Understanding of basic concepts.

Assessment criteria - good (3-4) (Not in use, Look at the Assessment criteria above)

Understanding of advanced concepts and ability to apply them in basic technical problems.

Assessment criteria - excellent (5) (Not in use, Look at the Assessment criteria above)

Ability to apply course topics in advanced problems.