Riemann Sum and Definite Integral for Area Under Curve Training

Learning Outcomes

• Apply the Riemann sum formula to approximate the area under a curve using left, right, and midpoint sums.
• Analyze the relationship between Riemann sums and the definite integral as the limit of sums.
• Evaluate definite integrals using the Fundamental Theorem of Calculus and interpret the result as area under a curve.
• Demonstrate the ability to calculate area under a curve for polynomial, exponential, and trigonometric functions.
• Design and implement a step-by-step solution to find the area between two curves using definite integrals.

Target Audience

This course is designed for professionals, managers, and analysts who need to apply calculus concepts in fields such as finance, logistics, project management, and data analysis. It is also suitable for learners pursuing further studies in mathematics or engineering.

Prerequisites

None — open enrollment

Course Outline

Practicals

Summatives

Each delegate is assessed continuously throughout the course and a final summative test at the end.

Daily Exercises — 30%

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 30% to the final total.

Final Test — 70%

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 70% to the overall mark.

Final Total

Component	Out of	Weight
Daily Average (multiple choice)	100%	30%
Final Test (multi-answer multiple choice)	100%	70%
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.