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Wilfrid Laurier University Centre for Student Success
February 6, 2016

Canadian Excellence

MA104 Lecture Notes

Please note that the lecture notes linked to this page are skeletal only. They do not replace going to the lectures themselves.

The intention is for students to have access to these brief notes before the scheduled lectures in order to be better prepared for instruction on the relevant topics during class time. Further clarification and examples will be provided in the lecture. It is hoped that by having a copy of the notes contained here, students will spend less time copying from the board and have more time to really listen to what their instructor is saying, to further comprehend the material and to participate in any discussion.

Students should be aware that such things as the order of topics covered and notation may vary slightly depending on the preferences of their instructor.

Note: Some changes have been made in regards to the topics now taught in MA103/MA104. Thus, the following notes will not match the week-by-week schedule of the current lectures. But all topics are covered and should still be useful!

These files are in pdf format, so a pdf reader is required to be able to view them. The latest version of Acrobat Reader can be downloaded for free; just click here. Note that the printed version of such files do not always look the way that we want them to look, so be careful of errors (especially in some of the special notation we use) seeming to appear on printed copies.

See theCalculus I Lecture Notes for topics that were recently moved from MA103 into MA104 course material.

Week 1 - Separable Differential Equations; Growth and Decay Models

Week 2 - Partial Differential Equations; Tangent Planes; Lagrange Multipliers (These 3 topics are no longer part of the MA104 course material); Volume of Revolution

Week 3 - Arc Length; Surface Area; Parametric Equations

Week 4 - Parametric Form: Tangents and Areas; Arc Length and Surface Area

Week 5 - Polar Coordinates: Tangents, Areas, Arc Lengths

Week 6 - Sequences

Week 7 - Series

Week 8 - Integral Test and Estimates of Sums; Comparison Tests

Week 9 - Alternating Series; Absolute Convergence; Ratio and Root Tests

Week 10 - Overview of Convergence Testing; Power Series

Week 11 - Power Series Representations of Functions; Taylor and Maclaurin Series

Week 12 - Taylor and Maclaurin Series (Cont'd); Binomial Series