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Preface How to use these notes

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These notes are lectures notes for MATH 315. They are structured to accompany the lectures offered at the University of Alberta.

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Each 50 minute lecture in the course corresponds to a subsection in the notes (except for Subsection 6.5 which is a summary section). Further, each subsection is structured as follows:

  • A brief summary of the content of the subsection;

  • The learning objectives of the subsection;

  • The course notes for the topic of the subsection, with worked out examples;

  • Exercises (with full solutions) on the topic of the subsection.

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These notes are meant to be supplemented with the in-class notes annotated during the lectures, which are numbered to match the section numbers in these notes. The in-class notes will be posted on eClass. In particular, these notes do not include many figures -- these will be provided in the accompanying in-class notes. More figures will be added to these notes in the future.

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Please do not hesitate to let me know if you have comments or find typos/mistakes at vincent.bouchard@ualberta.ca.

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Let us now delve into the beauty and depth of vector calculus!