Solving Equations and Inequalities in Complex Number Systems Training

Learning Outcomes

• Apply algebraic methods to solve linear, quadratic, and polynomial equations in the real number system.
• Analyze and solve inequalities using algebraic and graphical techniques, including interval notation and number line representation.
• Perform operations with complex numbers (addition, subtraction, multiplication, division) and represent them in Cartesian and polar forms.
• Solve quadratic equations with complex roots and demonstrate the relationship between roots and coefficients.
• Evaluate and graph complex functions, including the use of Argand diagrams.
• Design solutions to real-world problems involving equations and inequalities in complex number systems.

Target Audience

This course is designed for professionals and students in engineering, physics, computer science, and related fields who need to apply complex number theory to solve equations and inequalities. It is also suitable for educators seeking to enhance their mathematical teaching repertoire.

Prerequisites

None — open enrollment

Course Outline

Practicals

Overview

Practical sessions reinforce theoretical concepts through hands-on problem-solving and graphical interpretation. Learners will solve equations and inequalities, plot complex numbers, and apply these skills to real-world scenarios.

Practical Activities

• Complex Number Operations and Plotting — Learners perform arithmetic operations with complex numbers and plot them on the Argand diagram. (1h)
• Solving Equations in Complex Numbers — Learners solve linear and quadratic equations with complex coefficients and interpret solutions. (1h)
• Inequalities and Applications — Learners solve modulus inequalities and apply complex numbers to a practical problem. (1h)

Summatives

Each delegate is assessed continuously throughout the course via daily exercises, scored practical assignments, and a final summative test at the end.

Practical Assignments — 30%

Practical assignments are observed and scored against a rubric during the practical sessions. Each delegate's practical mark is averaged into a single 100% score and contributes 30% to the final total.

Daily Exercises — 20%

Every training day ends with a multiple-choice exercise scored out of 100%. The scores from each daily exercise are averaged across the duration of the course to produce a Daily Average mark, which contributes 20% to the final total.

Final Test — 50%

On the last day a final summative test is written. It is a multiple-choice paper with multiple-answer questions: each question may have more than one correct option, and a single wrong selection on a question marks the entire question wrong — no partial credit. The final test is scored out of 100% and contributes 50% to the overall mark.

Final Total

Component	Out of	Weight
Practical Assignments (rubric-scored)	100%	30%
Daily Average (multiple choice)	100%	20%
Final Test (multi-answer multiple choice)	100%	50%
Final Total	—	100%

All marks are recorded on the AATICD LMS and visible to each learner under their account.

Certificate

How it works

• Certificates are auto-generated on the AATICD LMS as soon as the marks pass the 50% threshold.
• Each certificate is a branded PDF with the delegate's name, the course title, the unit standard ID, NQF level, credits, and the date of issue.
• You can download or print your certificate from your LMS dashboard at any time after issue — there's no reissue fee and no expiry date.
• If you scored under 50% you can sit the final test again at the next scheduled session at no extra cost.

Where to find it

Sign in to the LMS, open your dashboard, and your certificates appear under My Certificates. Each entry has a View / Download button and a print option.

Training Discounts

Group discounts apply automatically — the more delegates you enrol, the greater the saving. Discounts are calculated at 3% per 5 delegates, scaling up to 40% off for 100+ delegates.

Delegates	Discount
5	3% off
10	6% off
15	9% off
20	12% off
25	15% off
30	18% off
50	30% off
75	35% off
100	40% off

3% discount per 5 delegates, up to 40% off for 100+ delegates. Contact us for a custom group quote.