Differential Calculus (3cr)

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, and construct error estimates using the differential method.

Content (course unit)

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

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills.

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concepts of differential calculus and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply the methods of differential calculus in various problems and is able to explain the methods of her/his solutions.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using differential calculus to solve applications and the ability to present and justify the chosen methods of solution.

Location and time

Dates and times are shown in TuniMoodle.

Exam schedules

The exam will be held on Monday, 8th of March at 11.15-14.00 at TAMK. A student has to complete and submit at least 50 % of the exercises to be able to attend the exam.
Two re-sit exams, the first one on Wednesday, 21st of April 2021 and the second one on Wednesday, 19 of May 2021. (More information later.)

Assessment methods and criteria

The final grade is based on the exam. To pass the exam a student has to get at least 40 % of the maximum points.

40 % -> grade 1
52,5 % -> grade 2
65 % -> grade 3
77,5 % -> grade 4
90 % -> grade 5

Assessment scale

0-5

Teaching methods

Distance lessons, exercises, self-study, videos, homework, exam.
A student solves mandatory exercises and saves them in TuniMoodle by given dead-lines.

Learning materials

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Content scheduling

Topics are shown in TuniMoodle.