Calculus makes more sense when the steps connect.
I tutor Calculus I, II and III online, one-to-one. We work from your syllabus, lecture notes and course problems so the lesson matches what you are expected to understand.
Bring the part of calculus that is giving you trouble.
Course content varies by university, so this is not a fixed syllabus. Send your course outline if you want me to check the exact material.
Functions, limits and continuity
Reading graphs, working with functions, evaluating limits and understanding what continuity means.
Derivatives and applications
Differentiation rules, implicit differentiation, related rates, optimisation and curve analysis.
Integration and applications
Antiderivatives, definite integrals, substitution, integration by parts and applications of integration.
Sequences, series and further integration
Integration techniques, improper integrals, sequences, convergence tests, power series and Taylor series where they are part of your course.
Multivariable and vector calculus
Partial derivatives, gradients, multiple integrals, vector fields, line integrals and related multivariable topics where they are part of your course.
Choosing the right method
Learning to recognise the structure of a problem instead of memorising isolated procedures.
Working under time pressure
Reviewing weak areas, practising representative problems and improving the way you set out solutions.
Your course is the starting point.
Two courses called Calculus II can cover different topics and use different notation. I prefer to work from the material your lecturer is actually using.
Before or during tutoring, you can share your syllabus, topic list, lecture notes or a few representative problems. That helps us focus on the mathematics that matters for your course.
Useful things to bring
- Your course outline or syllabus
- Lecture notes or tutorial sheets
- Topics you find difficult
- Past tests or practice questions, where permitted
- The date of an upcoming test or exam
Understanding first, then practice.
Find the exact point where the topic stops making sense.
Rebuild any prerequisite idea that is causing the difficulty.
Work through the method carefully on suitable examples.
Practise deciding which method to use without being prompted.
Tell me which calculus course you are taking.
Send the course name or code, the topics you are covering and what currently feels difficult. I will let you know whether I can help.