Study Guide

Objectives (course unit)

After completing this course student is able to

- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions, recognize graphs of basic functions, perform basic calculations with matrices and apply them in practical problems
- apply the concepts of limit and derivative when solving practical problems,
- determine the derivative using graphical, and construct error estimates using the differential method
- to understand basics of integral calculus

Content (course unit)

Functions: polynomial, rational, power, exponential, logarithmic, trigonometric); graphs of basic functions, equations. Limit, Derivative, Applications of Derivative, Error Estimation with Differential. Integral Function

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

Has a basic understanding of the concept of a function and recognizes the properties of basic functions. Can solve simple equations involving basic functions and recognizes their graphs. Understands elementary matrix calculations and can apply them to straightforward practical problems. Grasps the basic concepts of limit and derivative and can apply them in simple practical problems. Knows the basics of integral calculus at a fundamental level.

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

Demonstrates a clear understanding of the concept of a function and can identify the characteristic properties of different basic functions. Can solve equations involving basic functions, accurately recognizes graphs of basic functions, and performs calculations with matrices in more complex practical problems. Effectively applies the concepts of limit and derivative in solving practical problems, determines the derivative using graphical methods, and constructs error estimates using the differential method. Has a solid understanding of the fundamentals of integral calculus.

Assessment criteria, excellent (5) (course unit)

Exhibits a comprehensive and in-depth understanding of functions and recognizes the characteristic properties of various basic functions. Solves complex equations involving basic functions, recognizes and interprets graphs of basic functions, and performs advanced calculations with matrices, applying them to solve sophisticated practical problems. Demonstrates a thorough understanding of limit and derivative concepts, applies them effectively in practical problem-solving, accurately determines derivatives using graphical methods, and constructs precise error estimates using the differential method. Possesses a solid understanding of integral calculus and applies it in a range of contexts.

Location and time

Dates and times are shown in TuniMoodle.

Exam schedules

Exam times:

1st exam: 13.3.2025 16:00-19:00, auditorium D1-04
2nd exam: 29.4.2025 11:00 - 14:00, location tba

Assessment methods and criteria

The course grade will be determined by a differential calculus exam (36 points), integral calculus exam (24 points) and homework points (6 points). The student's grade will be determined from the total of these points, as follows:

>14 points - 0
14-24 points - 1
25-35 points - 2
36-46 points - 3
47-57 points - 4
58 - 66 points - 5

In addition, to receive a passing grade the student must earn at least 10% of each exam's points (rounded down) and have 12 points total from both exams.

Assessment scale

0-5

Teaching methods

Contact lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given deadlines.

Learning materials

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books they have 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.

Student workload

A student is expected to student 27 hours / credit unit (135 hours / 5 credit units).

Content scheduling

Topics are shown in TuniMoodle.