Engineering Precalculus (5 cr)

Evaluation scale

H-5

Content scheduling

- Sets of numbers and number systems
- Real functions
- Polynomials equations and inequalities, exponential and logarithmic equations;
- Trigonometry for right triangles
- Complex numbers
- Vectors and matrices

Objective

After completing the course, the student
• can handle mathematical expressions and formulas within the engineering framework.
• understands the principles of solving equations and can solve equations encountered within technical applications.
• understands the basics of vector algebra and can apply vectors for modelling and solving technical problems.
• understands the basics concepts of geometry and trigonometry, and can apply them in modelling and problem solving.
• understands the concept of function and knows basic properties of functions.
• can apply functions for modelling and solving technical problems.
• understands the basic concepts of matrix algebra.
• can apply simultaneous equations for modelling and solving technical problems.
• can apply correct mathematical notations within the engineering framework.

Content

• Real numbers
• Basic arithmetic operations and the order of operations
• Algebraic expressions
• First and second order of polynomial equations and inequalities
• Simultaneous linear equations
• Radical functions and equations
• Exponential and logarithmic functions and equations
• Angles and angular units
• Right triangle and trigonometry
• Trigonometric functions and the unit circle
• Trigonometric equations
• The sine and cosine rules
• Basic concepts of vector algebra and modelling with vectors
• Scalar product and cross product of two vectors
• Basics of matrix algebra, determinant, inverse of a square matrix
• Field-specific content

Materials

1. Precalculus (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

The course combines a variety of learning methods to support student engagement and understanding. These include:
Teacher-directed classroom activities: Lectures and guided discussions to introduce and explain key concepts.
Group work: Collaborative problem-solving and peer learning through small-group tasks and discussions.
Independent work: Self-paced study and individual assignments to reinforce learning outside the classroom.
Project work: Larger, structured assignments requiring research, planning, implementation, and reporting.
Reports: Written reflections or analyses that document understanding and project outcomes.
Task-based learning (homework): Regular assignments designed to build skills and apply theoretical knowledge.
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Exam schedules

Exam Schedule:
First Exam: 29 October 2025
First Retake: 5 November 2025
Second Exam: 17 December 2025
First Retake: (Date to be confirmed in 2026)
Final Retake for Both Parts: 13 January 2026
Exact times for all exams will be published in the official schedule.

Important:
Homework and exercises must be submitted on time. Late submissions will not be accepted, and there are no opportunities for retakes or make-ups.

Pedagogic approaches and sustainable development

The contents of the course give understanding of the basic mathematics and help students to solve equations, including radical, exponential and logarithmic equations and use determinants and matrices (e.g. for solving linear simultaneous equations), apply dot and cross products (e.g. in games, physics and electrical engineering applications), 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 basic 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

Estimated Student Workload

Classroom Activities:
Participation in lectures, discussions, and in-class exercises – 50 hours

Homework:
Completion of homework sets 1–6 – 30 hours

Project Work:
Research, preparation of presentation materials, and delivery of the presentation – 20 hours

Final Exam Preparation:
Independent study and review for the final exam – 25 hours

Total Estimated Workload: 125 hours

Evaluation methods and criteria

Exam Schedule:
First Exam: 29 October 2025
First Retake: 5 November 2025
Second Exam: 17 December 2025
First Retake: (Date to be confirmed in 2026)
Final Retake for Both Parts: 13 January 2026
Exact times for all exams will be published in the official schedule.

Important:
Homework and exercises must be submitted on time. Late submissions will not be accepted, and there are no opportunities for retakes or make-ups.

Failed (0)

The student did not pass the final examination and failed to engage with the assigned coursework

Assessment criteria, satisfactory (1-2)

Scoring between 25 and 35 points in the exams and completing 30% to 50% of the assignments

Assessment criteria, good (3-4)

"Scoring between 35 and 45 points in the exams and completing at least 50% to 75% of the assignments."

Assessment criteria, excellent (5)

Scoring between 45 and 50 points in the exam and completing at least 75% of the assignments.

Qualifications

Introduction to mathematical sciences or corresponding skills.

Further information

All essential practical details related to the course are available on ITS Learning, including:
Timetables: Dates and times for lectures, tutorials, exams, and other scheduled activities.
Project Work: Descriptions of project topics, deadlines, submission guidelines, and evaluation criteria.
Grading Information: Breakdown of how grades are calculated, including the weight of exams, assignments, and project components.
Web Materials: Access to lecture slides, supplementary readings, assignment instructions, and other digital resources.
Announcements: Updates and important notices related to the course.
Please check ITS Learning regularly to stay informed and up to date.