Instructor:

John Mitchell, Amos Eaton 325, x6915, mitchj at rpi dot edu

Teaching Assistant:

Rachel Wesley, wesler at rpi dot edu

• Course outline.
• There is an LMS page for the course.
• There is a Slack channel for this course.
• There is a box page for this course.
• Homeworks
  • Homework 1.
  • Homework 2.
  • Homework 3.
  • Homework 4.
  • Homework 5.
  • Homework 6.
  • Homework 7.
  • Homework 8.
  • Homework 9.
  • Homework 10.
• Exams: As you would expect, no collaboration is permitted on the exams.

  Some old exams are available on LMS, including the solutions of the Summer 2018 exams.

  Exam 2 is on Friday, July 10. There will be 2 versions, one starting at 1.30pm and one starting at 10pm. Each exam will last 6 hours. I will track views of the exams, which means that if you touch the earlier exam then you are committed to taking it. The earlier exam will be unavailable after 7.30pm, so you can't accidentally touch it after 10pm. There will be some parameters in some of the questions that will vary depending on the last digit of your RIN.

  Exam 1 is on Friday, June 12. There will be 2 versions, one starting at 1.30pm and one starting at 10pm. Each exam will last 6 hours. I will track views of the exams, which means that if you touch the earlier exam then you are committed to taking it. The earlier exam will be unavailable after 7.30pm, so you can't accidentally touch it after 10pm. There will be some parameters in some of the questions that will vary depending on the last digit of your RIN.
• Lecture notes: Available on LMS and rpi.app.box.com.
  • Multivariable Calculus:
    • Differentiation in several variables
      • Lecture 1: sections 14.1, 14.2, 14.3. Link to webex files.
      • Lecture 2: sections 14.4, 14.6. Link to webex files.
      • Lecture 3: section 14.5. Link to webex files.
      • Lecture 4: sections 14.7 and 14.8. Link to webex files.
    • Multiple integration
      • Lecture 5: sections 15.1 and 15.2. Link to webex files.
      • Lecture 6: sections 15.3 and part of 15.4. Link to webex files.
      • Lecture 7: parts of sections 15.4 and 15.5. Link to webex files.
      • Lecture 8: part of section 15.5. Link to webex files.
    • Line and surface integrals; Green's Theorem
      • Lecture 9: sections 16.1 and part of 16.2. Link to webex files.
      • Lecture 10: part of section 16.2 and section 16.3. Link to webex files.
      • Lecture 11: section 17.1: Link to webex files.
    • Lecture 12: Exam 1
  • Matrix algebra:
    • Matrices and systems of linear equations
      • Lecture 13: sections 1.1 (Intro) and 1.2 (G-J elimination): Link to webex files.
      • Lecture 14: sections 1.3 (Consistent systems) and 1.5 (Matrix operations): Link to webex files.
      • Lecture 15: sections 1.6 (Properties of matrix ops) and 1.7 (Linear independence): Link to webex files.
      • Lecture 16: section 1.9 (Matrix inverses): Link to webex files.
    • Vector spaces
      • Lecture 17: sections 3.2 (Vector spaces) and 3.3 (Subspace examples): Link to webex files.
      • Lecture 18: sections 3.4 (Bases) and 3.5 (Dimension): Link to webex files.
      • Lecture 19: section 3.6 (Orthogonal bases): Link to webex files.
    • Eigenvectors and determinants
      • Lecture 20: sections 4.1 (2x2 eigenvectors), 4.2 (Determinants) and 4.3 (Row operations for determinants): Link to webex files.
      • Lecture 21: sections 4.4 (Eigenvalues) and 4.5 (Eigenvectors): Link to webex files.
      • Lecture 22: section 4.6 (Complex eigenvalues): Link to webex files.
      • Lecture 23: section 4.7 (Similarity and diagonalization): Link to webex files.
    • Lecture 24: Exam 2