MAT135H1
Ask if we can helpCalculus I
Other codes or names · MAT135, MAT 135, MAT 135H1, U of T Calculus I, St. George Calculus I
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5Browse courses by subjectUniversity of Toronto — St. George math & physics tutoring
Calculus, linear algebra and introductory physics study guides for U of T St. George: MAT135H1, MAT136H1, MAT223H1, PHY131H1 and MAT148H1. Try worked examples, choose a topic to review and ask whether we can tutor you in it.
MAT137Y1: check your current course code
At U of T St. George, both MAT148H1 and MAT149H1 list MAT137Y1 as their previous course number. They are two distinct courses. Check your current outline or enrolment record.
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Calculus3 courses
MAT136H1
Ask if we can helpCalculus II
Other codes or names · MAT136, MAT 136, MAT 136H1
MAT136H1 tutoring guideRequest tutoringMAT148H1
Ask if we can helpCalculus I with Proofs
Other codes or names · MAT 148H1
U of T St. George. Use your current section’s outline for topic order and assessment scope.
MAT148H1 tutoring guideRequest tutoringLinear Algebra1 course
MAT223H1
Ask if we can helpLinear Algebra I
Other codes or names · MAT223, MAT 223, MAT 223H1, St. George Linear Algebra I
This guide concerns MAT223H1 at St. George. Check your current section’s outline and timetable for course scope and term availability.
MAT223H1 tutoring guideRequest tutoringPhysics1 course
PHY131H1
Ask if we can helpIntroduction to Physics I
Other codes or names · PHY 131H1
This guide concerns PHY131H1 at U of T St. George. Check your current section’s outline to choose which topics and assessments to prepare for. Course coverage and tutoring availability must be confirmed before payment.
PHY131H1 tutoring guideRequest tutoringIndependent practice
Review with free study resources
Subspaces, Span and Linear Independence: Practice with Solutions
Learn to prove subspace closure, build counterexamples and justify span and independence. Six progressive questions with a worked start, hints and solutions.
A Wave in Space and Time
Read a wave snapshot and a particle’s time trace. Connect amplitude, wavelength, period and speed, with two graphs and three explained self-checks.
Finite Sums and Induction: Prove the Next Case
Distinguish a term from a partial sum, prove a geometric-sum identity and spot a circular argument. Three original exercises move from guided calculation to a proof with a shifted starting index.
Derivative Rules: Choose the First Step
Choose the first derivative rule in three core questions, then explore an optional logarithmic-differentiation example and retry when both base and exponent vary.
Plane Intersections: Row Reduction and Geometry
Connect row reduction, a free parameter and the geometry of a solution set for MAT223H1. This is topic practice, not a complete course outline.
How to Choose an Integration Method
Review substitution, integration by parts and partial fractions relevant to MAT136H1, with worked examples and explained practice. Follow your current course outline when choosing which methods to review.
Free-Body Diagrams and Friction: From Forces to Equations
Choose a system, distinguish static from kinetic friction, and turn a force diagram into equations. Compare horizontal and angled pulls with original diagrams and worked practice.
Cancelling Factors: Why the Missing Input Stays Missing
Practise functions, excluded inputs and limits relevant to MAT135H1 and MAT148H1 with a worked example and three explained self-checks. Follow your current course outline for scope and sequence.
Row Operations: Why the Solutions Stay the Same
Review reversible row operations and solution sets for MAT223H1. Use elimination to check a system or find coordinates in a basis.
Before Calculus: 10 Algebra Skills You Should Know
Ten essential algebra skills with worked examples, common mistakes and self-checks: a practical starting point before university or CEGEP calculus.
Eigenvectors and Eigenvalues: See the Geometry
Explore eigendirections and check the eigenvector equation for MAT223H1. Follow your current outline for assessment scope.
Work, Energy or Momentum: Choose the Method
Choose a system and interval to connect work, energy and momentum. Guided collision and force–position practice, with an optional centre-of-mass and relative-displacement extension.
Motion Graphs: From the Story to the Equation
Translate a motion story into position, velocity and acceleration graphs. Read slopes and signed areas, choose valid kinematics equations, and try six explained questions.
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