Midterm Exam 1#
Logistics#
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: \(\vec{B}(t)=\vec{T}(t)\times \vec{N}(t) \)
What to Study#
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.
How To Study#
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.
Follow-up Opportunity#
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.