MATH 141

Quiz 3 Practice Problems

Word has it that many of you 141 students are overwhelmed and overworked this week. In hopes of reducing your stress a bit, here are the warm-up questions from the quiz 3 prep session, with answers. If you need additional help, just ask. Good luck with midterms!!

Cal 2 Mastery Sessions & Quiz 3 Prep

The dates have been set for the Quiz 3 Prep Sessions and registration is now open here!

Annnnnnd fina!!y – they’re here! Many of you have been keen to register for the Mastery Sessions for MATH 141, leading up to the final exam. Registration is now open here. Space is limited, so register soon. Students who register for 3 or more sessions  before March 13th will be entered in a draw to win one of five free passes to a homework session (value: $45)! Financial support is available for a limited number of students. More information about these sessions is available here, send us an email if you have any questions.

MATH 141 – Quiz 1 – More Sample Questions

Here’s a second set of sample questions from the first of this year’s 141 quizzes. As expected, the general structure appears consistent, but the relative level of difficulty is a bit higher here. For example, the Riemann Sum question doesn’t have lower limit a = 0 which means you really have to have a solid understanding of how to work backwards to identify the function. Thanks to Marco for sharing!

1. Evaluate \displaystyle \lim_{n\rightarrow \infty} \sum_{i = 1}^{n}\sin\left(\frac{\pi}{2} + \frac{\pi i}{2n} \right)\cdot \frac{\pi}{2n}

2. \displaystyle \frac{\text{d}}{\text{d}x} \int_{\sqrt{x}}^4 e^{t^2}\text{d}t =

3. Evaluate the following integrals:

    • \displaystyle \int \frac{\pi}{6+x^2} \text{d}x
    • \displaystyle \int \frac{x+5}{x^2 + 10x - 7}\text{d}x
    • \displaystyle \int_a^{b} \frac{1}{x(1+\ln^2 x)}\text{d}x