Midterm Exam 1

Midterm Exam 1#

Date: Friday, September 29th 2023

Time: during our regular lecture time.

Location: at our regular lecture room.

Student ID: Bring either your UB Student ID or government issued ID.
Calculator Policy: Calculators are NOT allowed. The exam questions are written so that a calculator is not needed.
References/resources policy: No outside references/resources allowed during the exam. The only references/resources allowed during the exam are those provided as part of the exam packet.
- No reference page will be provided. A list will be provided on Monday, September 25th of the formula you should have memorized for the exam.

Formula to Memorize

Vector Equation for Line: \(\vec{r}(t)=\vec{r}_0 + t \vec{v}\)
Vector Equation for Plane: \(\vec{n} \cdot \vec{r} =\vec{n} \cdot \vec{r}_0 \)
Parametric Equations for a circle of radius \(r\)
Parametric Equations for a line segment between two points.
Length of a Curve: \(L = \displaystyle \int_{a}^{b}\bigg | \vec{r}'(t) \bigg| dt\)
Curvature: \(\kappa(t)= \dfrac{|\vec{r}\, '(t)\times\vec{r}\, ''(t)|}{|\vec{r}'(t)|^3}\)
Unit Tangent: \(\vec{T}(t)= \dfrac{\vec{r}'(t)}{|\vec{r}'(t)|}\)
Unit Normal: \(\vec{N}(t)= \dfrac{\vec{T}'(t)}{|\vec{T}'(t)|}\)
Unit Binormal: \(\vec{B}(t)=\vec{T}(t)\times \vec{N}(t) \)

Topics: learning outcomes V1-V6 and VVF1-VVF6
Number of Questions: 12 problems.
- These will be similar in format to the Checkpoint Exam questions.
- There will be one question per learning outcome (just like the Checkpoint Exams).
Simplifying: Unless otherwise stated on the exam, you do not need to simplify your answers.

The more problems you do, the better prepared you will be!

Checkpoint Exams - If one of your questions was marked incorrect, make sure you understand why. Go through your notes or the review video, find a similar example, and compare what we did there vs what you had on your exam.
Old Homework Problems on WeBWork
In-Class Problems - try the in-class problems we did in lecture and recitation.
Lecture Examples - try the examples we did in lecture: work on them by yourself and then use your notes or the review video to check your solution (not just your answer) or for help if you get stuck.

For any learning outcome still marked as Progressing on any Checkpoint Exam:

If you score a 90% or better on a Midterm Exam 1 question which tests the same learning outcome, you will earn (M) Meets Expectations for that learning outcome.