MAT136H1

This second part of the introductory Calculus sequence focuses on integral calculus beginning with the Fundamental Theorem of Calculus, the connection between two seemingly unrelated problems: measuring changing quantities and finding areas of curved shapes. Students will develop a deep understanding of the integral, and use it to: unpack equations involving derivatives; to make sense of infinite sums; to write complicated functions as 'infinite polynomials'; and to compute areas, volumes, and totals in applied problems. This course will further develop students' abilities to translate between algebraic, graphical, numerical, and verbal descriptions of mathematics in a variety of applied contexts. This course is a continuation of MAT135H1 and will be useful for students interested in learning applied calculus in relation to future studies in economics, life science, and physical and mathematical science programs. The following concepts will be studied: Integration, basic techniques of integration (substitution and by parts), improper integrals, using computer algebra systems (CAS) for integration, Taylor polynomials and Taylor series, ratio test for power series, radius of convergence of power series, first-order differential equations and systems of differential equations: modelling, separable DEs, and using CAS to study and find solutions.

Exclusions

APS163H1ESC195H1MAT136H5MAT187H1MAT197H1MATA36H3

Contact hours

36 lecture · 12 tutorial

Total scheduled hours for the course, not per week.

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Showing 24 of the 42 that have a page here. The other 19 have no page yet. Listing a course here means it names MAT136H1 among its prerequisites — often as one of several ways to satisfy the same requirement, so this is what MAT136H1 makes available, not what it alone guarantees.