MAST10006 Calculus 2 is a core first-year mathematics subject at the University of Melbourne worth 12.5 credit points, and 80% of the final grade rests on a single three-hour written exam sat without a calculator. The other 20% comes from roughly weekly assignments across the semester.
That weighting shapes how students approach the subject. Assignments keep you honest week to week. The exam decides the grade.
What Is MAST10006 Calculus 2?
Calculus 2 extends school-level and Calculus 1 material into the methods that underpin later quantitative study. The School of Mathematics and Statistics runs it across Semester 1, Semester 2, and a compressed Summer term.
It is foundational, not optional, for most science, engineering, and data pathways. The same calculus toolkit recurs across quantitative degrees, including data-focused units like Monash's FIT1043 introduction to data science.
There is no required textbook. Students work from lecture notes and a problem booklet, whose formula sheet is the only reference allowed in the exam.
Teaching and coordination detail sit on AskSia's MAST10006 course hub and the wider University of Melbourne course guides.
How Is MAST10006 Assessed?
The model is simple and unforgiving. Two components: continuous assignments and one final exam. Most of the grade lands in the exam hall.
Recent subject outlines list roughly nine assignments with the best eight counting, so a weak week or two does limited damage. The exam offers no such cushion.
Plan backwards from that 80%. Students who treat assignments as the finish line tend to arrive at the exam underprepared.
What Topics Does Calculus 2 Cover?
The syllabus moves from single-variable techniques into differential equations and basic multivariable calculus. Six areas carry the subject.
These areas build on each other. Integration technique feeds the differential-equation chapters, and the ODE models reappear in the two-variable material at the end of semester.
Mapping that dependency early helps. Running the syllabus through AskSia's Concept Map shows which topics unlock which, so you study integration before the ODEs that rely on it.
Coming from a different first-year maths background? Our breakdown of Monash's foundation mathematics MAT9004 covers adjacent ground.
What Are the Prerequisites?
Entry runs through one of two routes. A VCE Specialist Mathematics 3/4 study score of at least 29, or completion of MAST10005 Calculus 1.
The concurrent-enrolment rule catches some students out. You cannot sit Calculus 1 and Calculus 2 in the same teaching period, so the pathway is sequential.
Bachelor of Science students face a further limit. They may complete at most three of the four level-1 mathematics subjects, not all four.
How Does Calculus 2 Differ From Calculus 1?
Calculus 1 and Calculus 2 sit at the same level but serve different students. The split comes down to entry assumptions and depth.
Choose Calculus 1 if your strongest school maths was Methods rather than Specialist. Calculus 2 assumes the extra fluency, then pushes into hyperbolic functions and differential equations from week one.
For a stubborn topic, AskSia's AI tutor will work the same hyperbolic-substitution problem several ways until one explanation lands.
Is MAST10006 Hard?
Calculus 2 has a reputation as one of the tougher first-year maths subjects, and the structure explains why. The difficulty is less about any single topic and more about the exam concentration.
80% on one paper means a bad three hours can sink a strong semester. Students consistently describe the final as demanding.
But no tool replaces working problems by hand. Calculators are banned for a reason, and the exam rewards fluency you can only build by repetition.
How Should You Prepare?
Treat preparation as exam rehearsal from early in semester, not revision at the end.
Build the formula sheet into memory first. With no calculator and only the provided sheet allowed, fast recall of hyperbolic identities and standard integrals saves minutes you will need. AskSia's Flashcards with FSRS scheduling tune review intervals to your exam date, and our Calculus 2 cheat sheet collects the recurring forms in one place.
Then rehearse under exam conditions. AskSia's Mock Exam mode runs adaptive practice in the real three-hour, no-calculator format and grades each attempt with worked rationale, so the first timed paper you sit is not the real one.
When a problem stalls, AskSia's calculus AI tutor explains it step by step instead of handing over an answer.
Start the problem booklet in week one. Aim to finish it before SWOT-VAC, not during.
Frequently Asked Questions
Is MAST10006 (Calculus 2) hard?
Calculus 2 is widely regarded as one of the more demanding first-year mathematics subjects at the University of Melbourne, though the difficulty is structural rather than mysterious. The final exam carries 80% of the grade, runs for three hours, and allows no calculator, so the subject rewards fluency and fast recall over partial effort. The remaining 20% comes from roughly nine weekly assignments, with the best eight counting, which softens the impact of a single weak week. Most students who struggle do so at the exam, not the assignments. The content moves quickly, covering hyperbolic functions, integration techniques, sequences and series, differential equations, and functions of two variables across one semester. The subject is manageable with consistent weekly work, but it punishes cramming. Start the problem booklet in week one and rehearse full timed papers before SWOT-VAC; AskSia's Mock Exam mode reproduces the three-hour, no-calculator format so your first real attempt is not in the exam hall.
What are the prerequisites for MAST10006?
MAST10006 has two standard entry routes. The first is a VCE Specialist Mathematics 3/4 study score of at least 29, or an equivalent qualification. The second is completion of MAST10005 Calculus 1. Students may not enrol in MAST10005 and MAST10006 in the same teaching period, so the two run sequentially rather than together. Bachelor of Science students face an additional cap: they may complete at most three of the four level-1 mathematics subjects (MAST10005, MAST10006, MAST10007 Linear Algebra, and MAST10010), not all four. If your strongest school mathematics was Methods rather than Specialist, course advisers generally direct you to Calculus 1 first. Confirm your individual eligibility against the current Handbook entry and seek course advice before finalising enrolment, since equivalent-qualification assessments vary. Map the full sequence before first-semester enrolment so prerequisite chains do not stall you later.
How is Calculus 2 assessed at UniMelb?
Assessment splits into two components. Assignments make up 20% of the grade and are released roughly weekly across the semester, mixing written submissions and online questions completed through Canvas; recent subject outlines indicate the best eight assignments count. The final examination makes up the other 80%. It is a three-hour written paper sat during the end-of-semester exam period, with no calculator permitted and only the formula sheet from the problem booklet allowed. Historically the subject has carried no formal hurdle requirement, meaning you are not separately required to pass the exam, but you should confirm the current rules on the Canvas subject page each semester, as assessment details can change. Because the exam dominates, plan your semester around it: keep assignment marks banked, then move into timed practice well before the exam period. Check the MAST10006 course hub for the published assessment schedule.
Can you take Calculus 1 and Calculus 2 at the same time?
No. The University of Melbourne does not permit students to enrol in MAST10005 Calculus 1 and MAST10006 Calculus 2 in the same teaching period. The two subjects form a sequence: Calculus 1 builds the foundation, and Calculus 2 assumes it. If you have not completed Calculus 1, your alternative entry route into Calculus 2 is a VCE Specialist Mathematics 3/4 study score of at least 29 or an equivalent qualification, which lets eligible students skip Calculus 1 entirely. Bachelor of Science students should also remember the level-1 mathematics cap, which limits them to three of the four available subjects. If you are planning a maths-heavy degree, map the sequence before first-semester enrolment so prerequisite chains do not stall you later. Running your planned subjects through AskSia's Concept Map shows which units unlock which, so you sequence Calculus 1, Calculus 2, and Linear Algebra in a workable order.
Are calculators allowed in the MAST10006 exam?
No. Calculators are not permitted in the MAST10006 final examination, which carries 80% of the grade and runs for three hours. The only reference material allowed is the formula sheet printed in the subject's problem booklet, which is provided in the exam. There is also no formal requirement to own a calculator for the subject at all, since assessment concentrates on testing concepts and procedures in cases simple enough to handle by hand. This catches out students coming from school systems where calculators were standard, so build the adjustment in early. Practise arithmetic, the unit circle, and standard integrals without a device from the start of semester, not the week before the exam. Memorising the formula sheet matters more here than in most subjects, because fast recall directly saves time across a long paper. AskSia's Flashcards with FSRS scheduling space your review of hyperbolic identities and standard integral forms so they are automatic by exam day.
What's the difference between MAST10005 and MAST10006?
MAST10005 Calculus 1 and MAST10006 Calculus 2 are both 12.5-credit-point, level-1 subjects in the School of Mathematics and Statistics, but they target different starting points. Calculus 1 is the entry subject for students whose strongest school mathematics was VCE Maths Methods rather than Specialist; it rebuilds and extends single-variable calculus. Calculus 2 assumes that fluency, requiring either Calculus 1 or a Specialist Mathematics 3/4 score of at least 29, and moves quickly into hyperbolic functions, the complex exponential, differential equations, and functions of two variables. You cannot take both in the same teaching period. For Bachelor of Science students, both count toward the cap of three level-1 mathematics subjects out of four. If you are choosing between them, base the decision on your school background and intended major rather than perceived difficulty. The University of Melbourne course guides lay out how each subject feeds later-year mathematics and quantitative units.
