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Calculus tutors for school and uni students

Recent Calculus classes in AU
Calculus classes are delivered in Sydney, Perth, Hobart
Taruna taught 4 days ago
An instructor and a learner from Phoenix worked through several calculus problems, including partial fraction decomposition, trigonometric substitution, finding partial derivatives, sketching domains, applying the washer method, and solving differential equations. The learner practiced identifying appropriate methods for solving each problem type. The instructor assigned them to practice exact differential equations for the next lesson.
Partial Fractions Integration
Integration by Substitution (Definite)
Domain of a Root Function
Washer Method for Volume
Linear Differential Equations
Integration by Parts (for ln)
Taruna taught 9 days ago
Taruna and Greta delved into differential equations during their recent calculus lesson, specifically reviewing separable, linear, and exact types. They worked through several problems for each, with Greta focusing on identifying the correct method and applying various integration techniques. Greta will now practice additional problems and can ask questions during their next lesson or before her test next week.
Separable Differential Equations
Linear Differential Equations
Exact Differential Equations
Partial Fractions in Integration
Taruna taught 14 days ago
Taruna and Greta continued their calculus studies, with Taruna assisting Greta in a recent lesson focused on multi-variable functions. They delved into partial derivatives, domain and range calculations, and the application of the chain rule. Greta practiced numerous problems involving logarithmic, exponential, and trigonometric functions, specifically working through finding partial derivatives and using the chain rule in multi-variable contexts. Their emphasis was on understanding the foundational formulas and effective substitution methods.
Multivariable Chain Rule
Mixed Partial Derivatives
Range of Multivariable Functions
Domain of Multivariable Functions
Partial Derivatives
Taruna taught 16 days ago
In a recent calculus lesson, Taruna guided Greta through volume calculations, employing both the disk/washer and cylindrical shell methods. Their work emphasized sketching regions and accurately setting up integrals. Additionally, they tackled finding arc lengths of various curves. They've scheduled their next lesson to continue with workshop 8.
Volume of Revolution (Disk/Washer Method)
Cylindrical Shell Method
Arc Length Formula
Revolving About a Line (y=c or x=c)
Taruna taught about 1 month ago
During a calculus lesson, a learner, a student at Chaffey College in Rancho Cucamonga, worked through various problems. The lesson focused on derivatives, integrals, and domain calculations. The student practiced finding intercepts, intervals of increasing/decreasing functions, local extrema, u-substitution, and integration by parts. They also spent time determining domains. The instructor recommended further practice with integrals to solidify understanding of the methods discussed.
Linear Differential Equations
Variable Separable Differential Equations
Domain of Multivariable Functions
Second Derivative Test
First Derivative Test
X-Intercepts of Cubic Functions
Integration by Partial Fractions
Taruna taught about 1 month ago
Taruna and Greta continued their comprehensive calculus studies, with their latest lesson focusing on advanced integration techniques. They thoroughly worked through problems involving substitution, integration by parts, and tabular integration, building on their previous work with derivatives, optimization, and approximation methods. Additionally, they reviewed the fundamental theorem of calculus and explored Taylor polynomials. With Greta's upcoming test, they've scheduled an additional review lesson to ensure she's well-prepared.
Fundamental Theorem of Calculus Part 1
Integration by Substitution
Integration by Parts (ILATE Rule)
Chain Rule (for Derivatives)
Taylor Series
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Learning calculus in Australia: 7 common questions answered
When do students first study calculus in Australia?
Students are introduced to calculus in senior secondary school, typically in Year 11 or 12. In New South Wales, calculus appears in HSC Mathematics Advanced and Extension courses. In Victoria, it’s covered in VCE Mathematical Methods and Specialist Mathematics. Queensland students explore it through ATAR Maths Methods and Specialist. These courses form the foundation for university-level study in fields like engineering, science, commerce, and health.
Why is calculus often seen as one of the hardest maths topics?
Calculus brings together many skills at once including algebra, functions, graphs, and real-world modelling. Students are expected to understand the concept of a limit, compute derivatives, interpret rates of change, and work with areas under curves. What makes it hard is that small mistakes can derail entire problems, and many questions involve multiple steps of reasoning.
How is calculus assessed in senior school?
Calculus is assessed through written exams that require explanation, reasoning, and accurate working. VCE and HSC exams include both straightforward problems and applied scenarios using calculus concepts. Questions may ask students to sketch functions, analyse motion, or solve real-world optimisation problems. Internal school assessments throughout the year also contribute to final ATAR results.
What careers or uni degrees require calculus?
Calculus is essential for degrees in engineering, physics, data science, actuarial studies, computer science, and health sciences. Universities like the University of Melbourne, UNSW, UQ, and ANU include calculus-based units in first-year programs. Students entering commerce, economics, or even architecture may also encounter calculus in quantitative subjects.
What are some useful resources to learn or revise calculus?
Australian students often use Edrolo, Jacaranda Maths Quest, or Cambridge textbooks aligned to their curriculum. Visual tools like Desmos, GeoGebra, and Khan Academy help with graphing and conceptual understanding. Past exam papers from VCAA, NESA, or QCAA are also excellent for timed practice and identifying common problem types.
How can students build confidence with calculus?
Confidence builds through consistent practice, not cramming. Breaking down each topic like limits, derivatives, and integrals into smaller steps helps. Students should regularly solve problems, revisit errors, and use feedback from teachers. Studying in pairs or small groups can also make revision more engaging and less isolating.