MATH 252 - CALCULUS III - FALL 2022

MIDTERMS / FINAL INSTRUCTIONS

It is crucial that your read in detail these instructions.
It is your responsibility to understand them and to abide by them.
If you have any questions or concerns please talk to your instructor.

Dates:
Tue, Oct. 04: Midterm#1, 9:30-10:45
Tue, Nov. 01: Midterm#2, 9:30-10:45
Tue, Nov. 29: Midterm#3, 9:30-10:45
Tue, Dec. 13: FINAL 8:00-10:00

Format:
The test will take place in CLASS.

Cheating:
There will be absolute zero tolerance towards cheating (please see more details in the official syllabus). All work that you complete in this class must be your own and only your own. Any (yes any) form of cheating will automatically result in an F for the whole semester and direct disciplinary action with the Center for Students Rights and Responsibilities (which may include punitive sanctions such as probation, suspension, or even, expulsion).

  • Using any electronic device is cheating. Please leave all electronics in your bag far away from your reach. Any electronic device (including phones, smart watches, earphones, google glasses, tablets, etc.) in sight will be considered as cheating (even if it is not turned on!)

  • Using any external help during the test is cheating. You cannot consult the internet, nor send/post/upload, nor download any portion of the test (for instance Chegg or Slader or WolframAlpha or IntegralCalculator.com or WhatsApp or Instagram or any social media or etc...)

  • Uploading/dowloading/sharing (Chegg, Slader, Discord, WhatsApp, Reddit, Instagram, etc.) any portions of the test during or after the test will be considered cheating.

  • If others cheat you are at a disadvantage; thus, if you are aware of any form of cheating that is taking place please contact your instructor (full anonymity will be guaranteed).

Topics to be included in MIDTERMT#1:

  • Chap.12: Vectors and The Geometry of Space
    • 12.1: Three-Dimensional Coordinate Systems
    • 12.2: Vectors
    • 12.3: The Dot Product
    • 12.4: The Cross Product
    • 12.5: Equations of Lines and Planes
    • 12.6: Cylinders and Quadric Surfaces

  • Chap.13: Vector Functions
    • 13.1: Vector Functions and Space Curves
    • 13.2: Derivatives and Integrals of Vector Functions
    • 13.3: Arc Length and Curvature
    • 13.4: Motion in Space- Velocity and Acceleration

Topics to be included in MIDTERMT#2:

  • Chap.14: Partial Derivatives
    • 14.1: Functions of Several Variables
    • 14.2: Limits and Continuity
    • 14.3: Partial Derivatives
    • 14.4: Tangent Planes and Linear Approximations
    • 14.5: The Chain Rule
    • 14.6: Directional Derivatives & Gradient Vector
    • 14.7: Maximum and Minimum Values
    • 14.8: Lagrange Multipliers

  • Chap.15: Multiple Integrals
    • 15.1: Double Integrals over Rectangles
    • 15.2: Double Integrals over General Regions
    • 15.3: Double Integrals in Polar Coordinates

Topics to be included in MIDTERMT#3:

  • Chap.15: Multiple Integrals
    • 15.4: Applications of Double Integrals (only mass=∬density)
    • 15.5: Surface Area
    • 15.6: Triple Integrals
    • 15.7: Triple Integrals in Cylindrical Coordinates
    • 15.8: Triple Integrals in Spherical Coordinates
    • 15.9: Change of Variables in Multiple Integrals

  • Chap.16: Vector Calculus
    • 16.1: Vector Fields
    • 16.2: Line Integrals
    • 16.3: The Fundamental Theorem for Line Integrals
    • 16.4: Green's Theorem

Topics to be included in FINAL:

  • All Material from MT1 + MT2 + MT3
  • Chap.16: Vector Calculus
    • 16.5: Curl and Divergence
    • 16.6: Parametric Surfaces and Their Areas
    • 16.7: Surface Integrals
    • 16.8: Stokes' Theorem
    • 16.9: The Divergence Theorem

Must-Know material, Cheat Sheets and suggested problems to study: