Midterm 1 Information

Midterm 1 will be given on Tuesday, Feb 11, 2025 at 6:30 pm EST.

Material covered in Midterm 1:

  • Weeks 1-4 Lectures and Notes
  • Sections 0-5 in the Online Textbook
  • Tutorials 1-4 and Webwork Weeks 1-4
  • Parts of Tutorial 5 (Questions 1 and 2) and Webwork Week 5 (Questions 1, 2 and 3) relating to Weeks 1-4 content
  • Basic skills from calculus (differentiating elementary functions like sin⁡x\sin x, cos⁡x\cos x, exe^x, ln⁡x\ln x; product and chain rules) and trigonometry (such as identities: sin⁡2x+cos⁡2x=1\sin^2 x + \cos^2 x = 1, cos⁡(2x)=cos⁡2x−sin⁡2x\cos(2x) = \cos^2 x - \sin^2 x, and sin⁡(2x)=2sin⁡xcos⁡x\sin(2x) = 2 \sin x \cos x) are assumed.

Reminder: Calculators are not permitted during the test.

What to Know

You should be comfortable with definitions of Vector Spaces, and their Subspaces (and how to prove that!). You should be comfortable applying notions of Linear Combinations and how that relates to dependence or Spans (as well as using systems of linear equations and solving for different key values - 0 Vector, scalars, etc.). Additionally, you should practice proving things, specifically Set equality or showing how a "fact" holds using a general case. Go through past Midterms below or check the Tutorials page for related examples.

Past Midterms