MTH 254

Welcome to the homepage for MTH 254!

This page will be used to access files and for general information purposes.

Homework

For this course, we will be using the following text:

Select homework sets are provided below for either option you choose. The homework prompts listed are a starting point to practice the material we learned in class (or from the videos). Some people may feel they need more practice after working through these prompts, and that is great to have that self-awareness! In this case, try some of the even prompts between the assigned odd ones.

Strang and Herman’s Calculus Volume 3An image of the OpenStax logo
  • Introduction to 3D Coordinates: Section 2.2: 61, 62, 65, 66, 71, 72, 73, 75 (use Completing the Square in z)
  • Vectors: Section 2.1: 1, 9, 11, 15abd, 21, 33; then Section 2.2: 77, 81, 83, 89, 91, 93
  • The Dot Product: Section 2.3: 125, 129, 133, 135, 143, 149, 153, 167, 169, 177
  • The Cross Product: Section 2.4: 183, 185, 189, 193, 199, 203, 209, 219
  • Lines and Planes: Section 2.5: 243, 245, 247, 259, 263, 269, 273, 277, 281, 283
  • Functions & Surfaces: Section 2.6: 307 (use Desmos or GeoGebra), 309a, 311a, 313 – 318 all, 339
  • Vector Functions & Space Curves: Section 3.1: 5, 7, 13, 15, 19, 23, 27, 33, 40
  • Derivatives & Integrals of Vector Functions: Section 3.2: 41, 45, 47, 51, 55, 61, 67, 69, 75, 85, 101
  • Arc Length & Curvature: Section 3.3:
  • Velocity & Acceleration: Section 3.4:
  • Functions of Several Variables: Section 4.1:
  • Limits & Continuity: Section 4.2:
  • Partial Derivatives: Section 4.3:
  • Tangent Planes & Linear Approximations: Section 4.4:
  • The Chain Rule: Section 4.5:
  • Directional Derivatives & The Gradient: Section 4.6:
  • Extrema: Section 4.7:
  • Cylindrical & Spherical Coordinates: Section 2.7: 363, 367, 371, 375, 381, 387, 390, 395, 401, 413
  • Double Integrals Over Rectangles: Section 5.1:
  • Iterated Integrals: Section 5.1:
  • Double Integrals Over General Regions: Section 5.2:
  • Double Integrals Over Polar Regions: Section 5.3:
  • Triple Integrals: Section 5.4:
  • Triple Integrals in Cylindrical & Spherical Coordinates: Section 5.5:
Note Sheets

Below are a number of Guided Note Sheets. These are blank and constitute what will be covered during lecture.

Portfolio

By the end of the term, you will complete this portfolio. Each prompt will be collected at some point during the term and returned with feedback provided. By the end of the term, you will turn in the entire portfolio for a grade.

Reviews

Below are some reviews for both the midterm exam and the final exam. Use these reviews to study for the exam. These will not be collected or covered in class.

  • <To Be Completed>
Extra Credits

There are two extra credit opportunities available to you. Please complete these any time before the last week of instruction.