Its not an insanely hard course but its definitely work intensive. The other comment about this course said it was pretty much easy, i could see ways in which its easy but i wouldnt say its a easy pass lol you must practice alot and unless you are a math genius itll take effort. Overall i would say it combines the harder aspects of calculus 2 and 3 (thankfully not alot of trigonometric substitution) and is overall harder than both calc 2 and 3. might be different for others tho - if you enjoyed and did well in power series for calc 2 partial fraction decomposition, integration by parts ; double / triple integrals then maybe this course will be very easy for you. For me it was more difficult than calculus 2 and calculus 3 but not by alot.

It continues from where uvic calculus 3 stops, with basic line integrals -> work/circulation/flux calculations using single parametrized integral and then using double integrals with greens theorem; surface integrals and then finally covering stokes/divergence theorems. thats about it for calculus portion. (this takes about 1.25 months to complete) The ODE portion covers first and higher order homogenous / nonhomogenous solving methods (integration factor, substitution methods, variation of parameters, undetermined coefficients, characteristic solution of higher order ode; powerseries expansion and finally fourier series.

Prof was very lovely lady, took questions often in lecture and tried her best to explain what was going on, but personally sometimes she (and other uvic calculus professors) went just a little too fast for me to understand what was being conveyed so i could only focus on mechanically writing down the problems. An example of this is when we went over the component test it looked like a mismatch of partial derivatives to compare with one another and i got very flustered in class -> later i discovered it was simply came from the definition of the curl vector (del x F) and is just confirming Clairaut’s Theorem (equality of mixed partials - as talked about in calc3); once that clicked the whole idea made sense and instead of dread i had a satisfied understanding. Thus the professor posting all ...read more

Firstly, for exams make sure to follow exactly what your professor says will be good to study. our prof said to study lecture notes + tutorial + assignments. I messed up my first exam because i spent much more time doing the optional suggested problems from text book.. they are helpful but if you only payed attention to tutorial problems + lecture notes its almost guaranteed you will achieve at least a 80. secondly, If you are like me, you put things off until the last second. for exam 1 (coverage of the vector calculus portion -> almost entirely integrals) the materials is very chill and understandable .. right up until the last two sections where you must use spherical/cylindrical coordinates to parametrize surfaces and use that + many new surface integral methods to solve problems.. i...read more