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Calculus guideFormal Sciences
Payment protectionDetails
- Revisions within the package are free.
- If you do not respond within 3 days of delivery, the work is accepted automatically.
The money is reserved when you pay and released only once you accept the work.
Example result
Example for the Standard package
Study guide: solving linear equations, for students aged 13–14
The one rule
An equation is a balance. Whatever you do to one side, you do to the other, and the balance stays level. The goal is to get x alone on one side.
Worked example 3: the unknown on both sides
Solve 5x − 4 = 2x + 11.
- Move the x terms to one side: take 2x from both sides. 5x − 2x − 4 = 11, so 3x − 4 = 11.
- Move the numbers to the other side: add 4 to both sides. 3x = 15.
- Divide both sides by 3. x = 5.
- Check: 5 × 5 − 4 = 21 and 2 × 5 + 11 = 21. Both sides match.
Common mistake
In 3(x + 2) = 18, many students write 3x + 2 = 18. The 3 multiplies everything in the brackets: 3x + 6 = 18, so x = 4.
Exercises 7–10
- 4x + 3 = x + 18
- 2(x − 5) = 14
- 7 − x = 3x − 9
- 3(2x + 1) = 4x + 15
Answers: 7. x = 5 · 8. x = 12 · 9. x = 4 · 10. x = 6
Files: PDF and Word. The guide is for learning: we do not do homework or tests to be handed in.
Client: a parent whose daughter gets lost when an equation has brackets or the unknown on both sides. Task: a guide at middle school level that starts from the basics and builds up to those two cases. Standard package: up to 8 pages, 6 worked examples, 20 exercises with answers and a summary sheet. Excerpt below.
The client and all details are made up.
About this service
Calculus feels hard when the rules are learned without the idea behind them. This guide takes one topic, such as limits, the derivative and what it means, the product, quotient and chain rules, optimisation, integration by substitution or by parts, or the area under a curve, and explains first what it means in everyday terms, then how to calculate it, with worked examples written out line by line, the usual algebra slips and exercises with answers from easy to harder. Tell us the course, such as a school calculus class or a first-year university module, the textbook and what the learner already handles. Graphs are given as descriptions and tables of values. The guide is for learning: we do not do homework, problem sets, tests or exams to be handed in, and the exercises are new ones. Check the notation against your course.
What is included
- What you getA PDF and Word file on your calculus topic: the idea in plain words, then the method, worked examples solved line by line, common mistakes and exercises with answers. From Standard, a one-page summary sheet with the rules and standard derivatives or integrals; in Premium, a 20-question self-check test and a separate answer key with short explanations.
- Meaning firstRate of change, area and limits explained before the rules
- Rules step by stepWhich rule to use and how to apply it, line by line
- Algebra slipsWhere most errors really happen: signs, powers and simplifying
- Common mistakesA forgotten chain rule, the constant of integration, wrong limits
- At your levelSchool calculus or a first-year university module
How it works
- 1TopicYou name the topic, the course and what is hard
- 2WritingWe write the explanation, worked examples and exercises
- 3DeliveryYou get the guide in PDF and Word on the order page
- 4StudyYou practise with it and ask for changes within your package
What we need from you
The exact calculus topic, the course (school or university, which year), the textbook or lecture notes it should follow, the notation used, what the learner can already do, for example basic derivatives, and what they find hard, the language, and how the guide will be used. You may attach a syllabus, a list of topics or a page of lecture notes as Word or PDF files, up to 3. Please do not send graded homework, tests or exam papers to be solved.
We will ask you:
- Which calculus topic?
- For what level?
- What does the learner already know, and what is hard?
- Which curriculum or textbook should it follow?
- Language and how the guide will be used
Compare packages
| Packages | BasicUp to 4 pages$9 | StandardUp to 8 pages$18 | PremiumUp to 15 pages with a test$34 |
|---|---|---|---|
| Deadline | 1 day | 2 days | 3 days |
| Revisions | 1 | 2 | 3 |
| Pages | up to 4 | up to 8 | up to 15 |
| Worked examples | 3 | 6 | 10 |
| Exercises with answers | 10 | 20 | 35 |
| Summary sheet | No | Yes | Yes |
| Test and answer key | No | No | Yes, 20 questions |
| Subject | Calculus | Calculus | Calculus |
| Order Basic | Order Standard | Order Premium |
Payment protection
You pay when you order, but the money is released only for accepted work.
- Fixed priceThe package price does not change after you pay.
- The money is reservedWhen you pay, the amount is only reserved. It is released to the service once you accept the work.
- Checked before deliveryEvery result goes through a quality check before it reaches you, and you see it on the order page before accepting it.
- Free revisionsAsk for changes within your brief as many times as the package allows.
- Acceptance after 3 daysIf within 3 days of delivery you neither accept the work nor ask for changes, it is accepted automatically. If you write in the order chat after delivery, the order waits; once we answer, we may start the 3 days again and will say so in the chat.
- Redo or a full refundIf the result does not match your brief and the revisions did not fix it, or the work takes more than twice its deadline, write in the order chat: we will redo the work or refund the payment in full.
Questions and answers
Will you do my problem set?
No. The guide teaches the topic with new examples and exercises; we do not do homework, problem sets, tests or exams to be handed in as your own work.
Is it for school or university?
Either. Tell us the course and we pitch the explanation and the exercises at that level, with or without formal definitions.
Can it cover all of differentiation?
One order covers one topic, for example the chain rule or optimisation. For a whole unit, order several guides.
Will there be graphs?
Graphs are given as descriptions and tables of values, so the learner can sketch them or check them in a graphing tool.
Will it match my course?
We follow the level, curriculum and textbook you name, but programmes, notation and methods differ, so the learner or a teacher should check the guide against the course.
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