Montreal, Quebec CEGEP
Differential Calculus 201-SN2-RE, Integral Calculus 201-SN3-RE, Linear Algebra 201-SN4-RE (formerly NYA, NYB and NYC), physics, chemistry, quantitative methods: each course has its page, with its chapters, a corrected exercise set and a revision sheet for each one, free to use. Pick your program. And if you want support, I tutor students from every CEGEP in Montreal, in person and online, in English or in French.
The pre-university science program, revised as 200.B1. Each course carries its revised code and, in brackets, the old one many colleges still print: the chapters are the same.
Limits, derivatives, related rates, curve sketching, optimisation. Term 1 or 2.
19 corrected exercise sets • 15 revision sheets
Antiderivatives, integration techniques, areas and volumes, sequences and series. Term 2 or 3.
20 corrected exercise sets • 19 revision sheets
Vectors, lines and planes, matrices, determinants, eigenvalues. Term 2, 3 or 4.
13 corrected exercise sets • 12 revision sheets
Atoms, bonding, stoichiometry, gases, thermochemistry.
13 corrected exercise sets • 12 revision sheets
Kinetics, equilibrium, acids and bases, solubility, electrochemistry.
10 corrected exercise sets • 9 revision sheets
Nomenclature, isomerism, reaction mechanisms, spectroscopy.
15 corrected exercise sets • 14 revision sheets
Kinematics, Newton's laws, energy, momentum, rotation, uncertainties.
10 corrected exercise sets • 9 revision sheets
Electric field and potential, RC circuits, magnetic field, induction.
12 corrected exercise sets • 10 revision sheets
Oscillations, waves, quantum and nuclear physics, heat and climate.
14 corrected exercise sets • 12 revision sheets
The mathematics course of the computer science technical programs, and the statistics of 201-337, more mathematical than Quantitative Methods and with no imposed disciplinary context.
Mathematics is the core of the demand at CEGEP. For each of the three courses, the chapters where students most often get stuck, each with its corrected set and its sheet, then the practice exam for the whole course.
Usually the first real shock of CEGEP. The pace is far faster than secondary school: in a few weeks students go from the familiar functions of Secondary 5 to limits, continuity and derivatives. Many who did well in secondary find themselves in difficulty within the first month.
The sequel to differential calculus. Students who did not absorb derivatives struggle fast, because integrating means recognising a form and choosing the right technique among several. It is also the course of the richest applications, areas and volumes, then of the new rigour of sequences and series.
The course most unlike the other two: the geometry of vectors in space and the algebra of matrices and systems. The challenge is to see the geometry in three dimensions and to master row reduction. It is indispensable for university science, engineering and computer science.
CEGEP is the two year stage between secondary school and university, unique to Quebec. Students finish secondary school after Secondary 5, at about 17, then spend two years in a pre-university program before entering university directly in their major, with no freshman year. Sciences de la nature is the pre-university program that leads to science, engineering, medicine and architecture.
Two consequences catch families off guard. First, the CEGEP grade average, the cote R, is what university admission is decided on, so first term marks matter immediately rather than being a soft landing. Second, the pace is roughly double what students are used to: a chapter that took two weeks in secondary school takes three lectures here. Students who coasted through Secondary 5 mathematics often meet their first real difficulty in the fourth week of 201-SN2-RE.
CEGEP is a genuine break from secondary school. The pace is faster, the ideas more abstract, limits, integrals, vectors in three dimensions, and the exams give less scaffolding: an optimisation problem may ask the student to build the entire model alone.
That independence is learned through guided practice. Here is how the tutoring works, in mathematics, physics, chemistry and programming.
A few questions on what has been covered in class and a few problems to locate the difficulty precisely. From that we build a work plan for the coming weeks.
Revisit what was not clear last time, work through the new material from class, then problems from straightforward to hard. We do not move on while the previous idea is still shaky: at CEGEP pace an unfixed gap compounds within a fortnight.
Close to an exam we switch to complete timed problems: time management, presentation of solutions, the traps each course sets. The point is to target what is actually assessed at your CEGEP.
I also work with computer science students. Programming courses are hard without solid foundations, and the same recurring mistakes slow a whole term down. For the systems courses at McGill and Concordia, see also computer science tutoring.
Classes, inheritance, polymorphism, interfaces, collections, exceptions. The recurring mistakes: confusing reference and value, NullPointerException, inheritance where composition was called for.
Pointers, dynamic allocation, destructors and RAII, hand-built linked lists and trees. The recurring mistakes: leaks, double free, segmentation faults.
Stacks, queues, binary search trees, hash tables, graphs. Sorting, searching, Big O complexity, recursion and memoisation.
Filesystem, permissions, bash scripts, compiling with gcc and Makefiles, debugging with gdb, Git from the command line.
The course descriptions are the same across the network, but the way concepts are presented and the kind of problems set on exams vary from one college to the next. I adapt to your lecture notes and your exams, at English-language CEGEPs on the same terms.
201-SN2-RE, formerly 201-NYA, is Differential Calculus, the first of the three mandatory mathematics courses in Sciences de la nature. It covers limits, continuity, derivatives and their applications: optimisation, related rates and curve sketching. It is usually the hardest course of the first term for students arriving from secondary school.
201-SN2-RE (formerly 201-NYA) is Differential Calculus, 201-SN3-RE (formerly 201-NYB) is Integral Calculus, 201-SN4-RE (formerly 201-NYC) is Linear Algebra and Vector Geometry. They are the three mandatory mathematics courses in Sciences de la nature; many colleges still use the old NY codes. The order varies by college, but 201-SN2-RE is normally taken in the first or second term.
Yes: Ahuntsic, Bois-de-Boulogne, Maisonneuve, Andre-Grasset, Vieux Montreal, Saint-Laurent, Dawson, Marianopolis, Vanier, John Abbott and others. I adapt to the lecture notes and exam style of each institution, which differ even though the ministerial course description does not.
Yes. I tutor in English for students at Dawson, Marianopolis, Vanier and John Abbott, and for students at French-language CEGEPs who prefer to think in English. The mathematics is identical in both networks; only the vocabulary changes, and I keep both sets of terms in play so the student can read their own exam paper.
Yes. I cover the three Sciences de la nature physics courses, Mechanics 203-SN1-RE (formerly 203-NYA), Electricity and Magnetism 203-SN2-RE (formerly 203-NYB) and Waves, Optics and Modern Physics 203-SN3-RE (formerly 203-NYC), as well as General Chemistry 202-SN1-RE (formerly 202-NYA), Chemistry of Solutions 202-SN2-RE (formerly 202-NYB) and organic chemistry. These run in parallel with the mathematics and many students need support in several subjects at once, which is easier to coordinate with a single tutor.
Yes, very well. Mathematics and science at this level suit the online format. I use Microsoft Teams with a digital whiteboard to work problems in real time. Students share their screen to show their attempt and we correct it together. It is as effective as working in the same room.
Get in touch for a first session. I adapt to your CEGEP, your lecture notes and your exam dates.
Social Science
Sciences humaines, the most attended pre-university program. Its quantitative half: Quantitative Methods, mandatory for every profile, its advanced sequel that serves the end-of-program research project, and the calculus of the "with mathematics" profile.
Quantitative Methods, 360-300
Sampling, Z score, index numbers, chi-square, margin of error. Mandatory for every profile.
9 corrected exercise sets • 8 revision sheets
Advanced Quantitative Methods, 360-301
Analysis of variance, multiple regression, non-parametric tests, time series.
6 corrected exercise sets • 5 revision sheets
Differential Calculus for Social Science, 201-103
Limits and derivatives, then marginal analysis and elasticity. "With mathematics" profile.
13 corrected exercise sets • 12 revision sheets
The Linear Algebra 201-105 of the "with mathematics" profile has no page of its own: its chapters are those of Linear Algebra 201-SN4-RE, which also covers the matrix models of social science (Markov chains, the Leontief model).