uwloo

MATH 119Calculus 2 for Engineering

Units
0.50
Faculty
Mathematics
Subject
Mathematics

When it runs

  1. F24
  2. W25
  3. S25
  4. F25
  5. W26
  6. S26
  7. F26
  8. W27
  9. S27

Ran in 4 of the last 7 terms. Winter 2027: scheduled, 6 lecture sections. Spring 2027: schedule not out yet.

Elementary approximation methods: interpolation; Taylor polynomials and remainder; Newton's method, Landau order symbol, applications. Infinite series: Taylor series and Taylor's Remainder Theorem, geometric series, convergence test, power series, applications. Functions of several variables: partial derivatives, linear approximation and differential, gradient and directional derivative, optimization and Lagrange multipliers. Vector-valued functions: parametric representation of curves, tangent and normal vectors, line integrals and applications.

Prerequisites

Antirequisites

  • Not completed nor concurrently enrolled in any of the following:
    • MATH118 - Calculus 2 for Engineering (0.50)
    • MATH128 - Calculus 2 for the Sciences (0.50)
    • MATH138 - Calculus 2 for Honours Mathematics (0.50)
    • MATH148 - Calculus 2 (Advanced Level) (0.50)

Leads to

Winter 2027 sections

Enrolment from UW Open Data, which can trail Quest by up to two days. Instructors and rooms: Schedule of Classes.
SectionClassEnrolledMeets
LEC 00156320 / 144TTh 14:30–15:20
F 13:30–14:20
TTh 14:30–15:20
F 13:30–14:20
Jan 28 15:30–16:20
Mar 11 15:30–16:20
Apr 1 15:30–16:20
LEC 00257060 / 147MWF 09:30–10:20
MWF 09:30–10:20
Jan 25 15:30–16:20
Mar 8 15:30–16:20
Mar 29 15:30–16:20
LEC 00357120 / 120MWF 08:30–09:20
MWF 08:30–09:20
Jan 27 16:30–17:20
Mar 10 16:30–17:20
Mar 31 16:30–17:20
LEC 00474200 / 110MWF 09:30–10:20
MWF 09:30–10:20
Jan 29 14:30–15:20
Mar 12 14:30–15:20
Apr 2 14:30–15:20
LEC 00574210 / 134MWF 14:30–15:20
MWF 14:30–15:20
Jan 27 15:30–16:20
Mar 10 15:30–16:20
Mar 31 12:30–13:20
LEC 7012246124 / 9999Online or by arrangement
TUT 10156330 / 48F 08:30–10:20
F 08:30–10:20
TUT 10256340 / 48F 08:30–10:20
F 08:30–10:20
TUT 10357070 / 48F 08:30–10:20
F 08:30–10:20
TUT 10457080 / 49F 14:30–16:20
F 14:30–16:20
TUT 10557130 / 49F 14:30–16:20
F 14:30–16:20
TUT 10657140 / 49F 14:30–16:20
F 14:30–16:20
TUT 10757750 / 40W 14:30–16:20
W 14:30–16:20
TUT 10858000 / 40F 14:30–16:20
F 14:30–16:20
TUT 10958010 / 40M 14:30–16:20
M 14:30–16:20
TUT 11074220 / 55T 14:30–16:20
T 14:30–16:20
TUT 11174230 / 55T 14:30–16:20
T 14:30–16:20
TUT 11274240 / 45F 08:30–10:20
F 08:30–10:20
TUT 11374250 / 45F 08:30–10:20
F 08:30–10:20
TUT 11474260 / 44F 08:30–10:20
F 08:30–10:20
TST 20162550 / 655Feb 22 14:30–16:20

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Reviewed on UW Flow

85% liked it63% easy88% useful

From 663 ratings and 112 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • Nico Spronk made this course unbearable and the only saving grace of this course was Zack Cramer's youtube videos.

    Aug 2025 · didn’t like it · 2 found this helpfulOn UW FlowRemove this

  • as a person who needs in in-person lecture to actually study, this course was a nightmare.... spronk is the evil final boss... this course would be so much more easy content wise. thanks to spronk made math119 harder than math449 he just gives off the pure math vibe and his slides and lectures makes me more confused...
    Do not attend spronks lecture it will ruin ur knowledge of calc, and even doubt ur life

    Aug 2025 · liked it · 2 found this helpfulOn UW FlowRemove this

  • Zack Cramer required to pass this class. Also the professor (Spronk) keeps threatening to make the final exam harder since no one is showing up to his useless lectures.

    Jul 2025 · didn’t like it · 2 found this helpfulOn UW FlowRemove this

  • Awesome

    May 2026 · liked it · 1 found this helpfulOn UW FlowRemove this

  • This course is very fast pace. It combines calc 2 (series calc) and calc 3 (multivariable calc) into one course. I never went to lectures as the posted lectures from Prof. Cramer's pre-recorded lectures are honestly god gifted. Thank you so much Prof. Cramer if you are reading this. Calc 2 part is very boring and repetitive. Calc 3 and its applications are very enjoyable and its problems are very diverse. Our final for some reason, was so easy. I would consider it unfair to other classes. Since the final would overtake your mid term mark if it was above it, everyone scored very high in my class. Overall a fun course, but very fast pace (watch Cramers amazing lectures)

    Sep 2024 · liked it · 1 found this helpfulOn UW FlowRemove this

Discussed on r/uwaterloo

219 posts and comments in 184 threads mention MATH 119, August 2011 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.

Spring 2024

What’s harder NE, ECE, or SE 19 points, 32 comments

“My nano friends tell me Nano, my ECE friends say ECE, my SE friends say a mix of ECE, NE and SE.”

u/nano201x: “Back in the day, Nano was really hard. I worked a hell of a lot harder than my friends in SE or ECE. NE would just take two courses from other programs and jam all of it into one course for us. …”

u/Brave_Raspberry_8498: “we all still take math 117/119. i can't remember for math 117, but for math 119, NE had the lowest midterm average and had the 2nd highest final avg, according to our prof”

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Transfer Credits from CEGEP 1 point, 5 comments

“I'm a CEGEP student going into software engineering. I received transfer credits for MATH 117 (calculus 1) since I did calculus 1 and 2 in CEGEP. …”

u/ilikeapple437: “The topics in Math 117 that were quite relevant in Math 119 was: trig substitution, fraction decomposition, polar coordinates, IBP, U-sub. If you think you are fine with those topic I think you will be fine.”

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Winter 2024

I'm dying 4 points, 2 comments

“ECE124's final exam is too hard..... ECE106 is not very hard but also challenging.... I may only get 60 on this two course.”

u/Range_Early: “60 is 10 more than 50, good pass”

u/wozirut: “Except for ECE108 and MATH119( which I'm good at), I'm dead.”

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CEs who've completed the AI Option, what courses did you take? 2 points, 4 comments

“Based off of these courses (https://ugradcalendar.uwaterloo.ca/page/ENG-Artificial-Intelligence-Engineering-Option), I'm taking STV 205 next term (which fulfills the List 1 requirement), and I want …”

u/torido314159: “ok hey fellow ECE, I am also doing this option and will be taking STV 205 next term. You can take CO 367 which has CO 250 and a calculus 2 course as pre-requisites. CO 250 is offered online and its pretty easy so thats a big plus, the calculus 2 can be met by MATH 119.”

u/ivythe1st: “… Do you think they'd be able to provide an override for the calculus 2 requirement then, since we have math 119? …”

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Can I comeback? 16 points, 17 comments

“So I have made a few posts about my ECE 1b term and now that I have gotten back all my midterm grades I would like some advice. …”

u/Safe_Locksmith395: “why you only got 57% in math119? It is not so hard and I got 81%(94% after curve)”

u/Famous_Flamingo_7388: “why you only got 94% in math119? It is not so hard and I got 100%(113% after curve)”

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I got the lowest mark in the course on my Math 119 midterm (ECE 1B) 25 points, 10 comments

u/Extra_Perspective_13: “It was worth 35%, I don't think I'm gonna be able to even pass the term as the rest of my ECE courses are extremely difficult as well. I don't think I got more than 25% on 106 and 15% on 108. …”

u/Brave_Raspberry_8498: “I also had the Math 119 midterm too and didn’t do great either. The only thing you can do now is move forward and try to focus on passing the term and doing well on the finals rather than repeating. You got accepted here for a reason. I’m sure you’ll be fine. …”

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Check it elsewhere for Fall 2026

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