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University of Toronto · Mathematics · MAT135

MAT135
Calculus I.

Weekly modules following the MAT135 schedule, from functions and graphs, trigonometry, exponentials and logarithms through limits and continuity to derivatives, differentiation techniques, applications and optimization, with quizzes and flashcards.

8
Weekly modules
Free
To start

Week by week, one card each.

  1. 01Functions & Graphs
  2. 02Trigonometry & Exponentials
  3. 03Logarithms & Limits
  4. 04Continuity
  5. 05Introduction to Derivatives
  6. 06Differentiation Techniques
  7. 07Applications of Differentiation
  8. 08Optimization

About MAT135.

In the calendar

MAT135H1: Calculus I

In this first introduction to Calculus, students will be introduced to the tools of differential calculus, the branch of calculus that is motivated by the problem of measuring how quantities change. Students will use these tools to solve other problems, including simplifying functions with straight lines, describing how different types of change are related, and computing maximum and minimum quantities. The following concepts will be studied: limits, asymptotes, continuity, derivatives, linear approximation of functions, the notion of a differential equation (DE) and a solution of a DE, slope fields, and Euler's method.

Credit
0.5 FCE
Hours
36L/12T
Breadth
The Physical and Mathematical Universes (5)
Prerequisite
High school level calculus
Exclusion
MAT130H1 / MAT135H5 / MAT136H5 / MATA30H3 / MATA31H3 / MATA36H3 / APS162H1 / APS163H1 / ESC194H1 / ESC195H1 / MAT186H1 / MAT187H1 / MAT196H1 / MAT197H1

From the Arts & Science Academic Calendar.

Open MAT135, everything’s there.

Modules & quizzes

One card per week, each with its quiz.

Flashcards

Every module, its own deck.

Practice exams

Midterm and final, timed.

Mistake review

The questions you missed, back again.

Grading schemes

Know what every mark is worth.

AI policy

Quoted from the outline, never summarised.

MAT135

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