Math 52 (Fall 2018)

Time /Place: Mon, Wed, Fri 9:30 AM - 10:20 AM at 200-203
Lecturer: Michael Kemeny. Email:

Teaching Assistant: Naomi Kraushar (381-K) Email:
Text: Calculus: Early Transcendentals by Edwards and Penney

Office Hours:
Naomi: Tues 1-3, Thurs: 4-6 (381-K)
Michael: Mon 2-4 (382-E)

ACE: Those seeking supplementary instruction or tutoring sessions within the Additional Calculus for Engineers (ACE) program may contact Andrea Oviedo (

This course is about integrating over flat and curved spaces. We will discuss the meaning of these integrals and ways to calculate them.
The most powerful tool we will discover in the latter portion of the course is Stokes' theorem: a higher dimensional generalization of the fundamental theorem of calculus.


  • Homework 1 Solutions
  • Homework 2 Solutions
  • Homework 3
    Midterm 1(Fall 2017) Solutions
    Midterm 1(Fall 2013) Midterm 1(Fall 2013) SOLUTIONS
  • Homework 4
  • Homework 5
    Midterm 2(Fall 2017) Solutions
  • Homework 6

    Syllabus: This is approximate, and may change as the course progresses.

  • Week 1: Double integrals, curves and 2D domains, centroid (13.1, 13.2, 13.3, 13.5)
  • Week 2: Triple integrals, surfaces and 3D domains, applications (13.3, 13.5, 13.6)
  • Week 3: Polar, cylindrical, and spherical coordinates (9.2, 13.4, 11.8, 13.7)
  • Week 4: Line integrals, fundamental theorem of line integrals (14.2, 14.3)

    First Midterm Exam: Thursday, October 18, 7-10 pm, 370-370 Solutions

  • Week 5: Change of variables (13.8, 13.9, 14.2)
  • Week 6: Green's theorem (14.4), Boundary and orientations
  • Week 7: Surface integrals (14.5)
  • Week 8: Stokes' theorem (14.7)

    Second Midterm Exam: Midterm 2: Thursday, November 8, 7-10pm, 370-370 Solutions

  • Thanksgiving Break: 11/19-11/23
  • Week 9: Divergence theorem (14.6)

    Final Exam: Monday, December 10, 7-10pm

    Grading scheme:
    Homework: 20%
    Participation: 5%
    Midterm 1: 20%
    Midterm 2: 20%
    Final exam 35%

    Important Dates:
    Midterm 1: Thursday, October 18, 7-10 pm, 370-370
    Midterm 2: Thursday, November 11, 7-10pm, 370-370
    Final: Monday, December 10, 7-10pm, 380-380C

    Students with Documented Disabilities

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    The OAE is located at 563 Salvatierra Walk (phone: 723-1066, link).

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    Dr. Brown is available to connect you with resources and support while ensuring your privacy.