0180 - Intermediate Calculus

This is the common web page for all sections of Math 0180 - Intermediate Calculus. You can view the syllabus of the course here. In this page materials, announcements, and other relevant information will be posted, including the homework. The instructors and teaching assistants are listed below:

  • Course head: José Manuel Conde Alonso. Contact: jose_conde_alonso[at]brown[dot]edu
  • Instructors

Section 1: Yang Xiao. Contact: yang_xiao[at]brown.edu. Section 1 webpage. Office hours: Mon 10-noon.

Section 2: Alex Barron. Contact: abarron[at]math.brown.edu. Office hours: Tue 4-5pm, Wed 3-4pm.

Section 3: José Manuel Conde Alonso. Contact: jose_conde_alonso[at]brown[dot]edu. Office hours: Tue 11-noon, Wed 11-noon.

Section 4: Alan Landman. Contact: alandman[at]math.brown.edu . Office hours: Wed 7-9pm.

  • Teaching assistants

Conference session 1: Seoyoung Kim. Contact: seoyoung_kim[at]brown.edu. Office hours: Thu 9-11am.

Conference session 2: Zhimeng Ouyang. Contact: zouyang[at]math.brown.edu. Office hours: Thu 1-3pm.

Conference session 3: Zhehui Liang. Contact: zhehui_liang[at]brown.edu. Office hours: Mon 2-3pm, Tue noon-1pm.

Conference session 4: Linhan Li. Contact: linhan_li[at]brown.edu. Office hours: Mon 1-3pm.

Announcements

  • (04/28/2018). Solutions to the third special homework have been posted.
  • (04/15/2018). Solutions to the second midterm have been posted.
  • (04/13/2018). Third special homework assignment posted!
  • (04/04/2018). Solutions to the second special homework have been posted.
  • (03/16/2018). Second special homework deadline extended. New dates: April 2/3 in your regular lecture.
  • (03/08/2018). Second special homework assignment posted!
  • (03/08/2018). Solutions to the first midterm have been posted.
  • (02/26/2018). Solutions to first special homework are have been posted.
  • (02/09/2018). First special homework assignment posted! Pro tip: start working on it early, in case you have questions.
  • Dates of the midterms and office hours of all TAs and instructors have been posted.

Exams

  • Midterm 1: March 7, 6-8pm. Location(s): Macmillan Hall 117. Solutions.
  • Midterm 2: April 11, 6-8pm. Location(s): Barus & Holley 166 and 168. Solutions.
  • Final: May 10, 9am-noon. Location: Salomon 001 and 003.

Do you have a conflict with another exam or another acceptable reason that requires your exam to be rescheduled? Please tell your instructor at least 10 days in advance and we will work to make the appropriate arrangements.

Homework is always to be handed each week at the beginning of your recitation session or BEFORE. Late submissions will never be accepted. Each assignment consists of some problems that you need to turn in and some that you do not. The latter are always odd numbered exercises from the textbook for which solutions can be found in an appendix. You should solve all exercises because they are part of the course and therefore of what you are expected to know.

  • Week of January 25: First conference session. No homework due.
  • Week of February 1: No need to turn in: section 12.1, exercises 5, 11, 13, 15, 21, 29, 41, 45, 47.

Turn in: section 12.1, exercises 4, 6, 10, 12, 18, 22, 24, 38, 40, 44.

  • Week of February 8: No need to turn in: section 12.2, exercises 1, 25, 29,43. Section 12.3, exercises 13, 23, 55. Section 12.4, exercises 11, 13, 29, 37, 49. Section 12.5, exercise 1.

Turn in: section 12.2, exercise 28. Section 12.3, exercises 10, 26, 54. Section 12.4, exercises 28, 38, 44. Section 12.5, exercises 12, 46, 58.

  • Week of February 15: No need to turn in: section 13.1, exercises 1, 5, 19, 21-26, 27, 49. Section 13.2, exercises 1, 7, 25, 37, 49.

Turn in: section 13.1, exercises 16, 30, 42. Section 13.2, exercises 8, 16, 20, 38, 42.

  • Week of February 22: No need to turn in: section 13.3, exercises 5, 11, 13, 15, 17, 33, 53. Section 13.4, exercises 7, 15, 37.

Turn in: Special homework assignment 1 (see below).

  • Week of March 1: No need to turn in: section 14.1, exercises 7, 11, 31, 33, 35, 41-44, 71. Section 14.2, exercises 1, 3, 13, 29, 31.

Turn in: section 13.3, exercises 14, 18. Section 13.4, exercise 2. Section 14.1, exercises 4, 61 to 66 (don't draw pictures, just explain). Section 14.2, exercises 8, 40.

  • Week of March 8: No need to turn in: section 14.3, exercises 5 to 8, 9, 45, 47, 63, 71. Section 14.4, exercises 3, 5, 11, 21, 43, 45.

Turn in: section 14.3, exercises 14, 38, 46, 62. Section 14.4, exercises 4, 16, 18, 30.

  • Week of March 15: No need to turn in: section 14.5, exercises 5, 7, 15, 21, 33. Section 14.6, exercises 9, 27, 43, 51, 57.

Turn in: section 14.5, exercises 6, 10, 34, 52. Section 14.6, exercises 10, 44, 52, 58.

  • Week of March 22: No need to turn in: section 14.7, exercises 1, 3, 9, 21, 33, 39. Section 14.8, exercises 1, 9, 15, 21, 23.

Turn in: Special homework assignment 2 (see below).

  • Week of March 29: No need to turn in: section 14.6, exercise 49. Section 14.7, exercises 43, 45, 55. Section 14.8, exercises 25, 49. Section 15.2, exercises 7, 17, 21.

Turn in: Spring break. No homework due.

  • Week of April 5: No need to turn in: Section 15.1, exercises 9, 23, 35, 37. Section 15.2, exercises 5, 15, 25, 37, 57.

Turn in: section 14.7, exercises 2, 16. Section 14.8, exercises 10, 22. Section 15.1, exercises 34, 38. Section 15.2, exercises 16, 54, 64.

  • Week of April 12: No need to turn in: Section 15.6, exercises 7, 11, 19, 33, 35. Section 15.3, exercises 1-4, 5, 13, 15, 27.

Turn in: Section 15.6, exercises 2, 14, 20, 36. Section 15.3, exercises 6, 10, 14, 26.

  • Week of April 19: No need to turn in: Section 15.7, exercises 1, 2, 3, 4, 17, 23, 29. Section 15.8, exercises 1, 2, 3, 4, 15, 17, 25, 41, 43. Section 15.9, exercises 3, 5, 9, 13, 17, 23.

Turn in: Section 15.7, exercises 18, 30. Section 15.8, exercises 18, 30, 36. Section 15.9, exercises 14, 24, 26.

  • Week of April 26: No need to turn in: Section 16.1, exercises 11-14, 15-18, 21, 25, 29-32. Section 16.2, exercises 7, 11, 17, 21, 29. Section 16.3, exercises 1, 5, 11, 17.

Turn in: Special homework assignment 3 (see below).

  • Week of May 3: No need to turn in: Section 16.4, exercises 3, 7, 13, 19. Section 16.5, exercises 15, 23, 27. Section 16.6, exercises 13-18, 19, 21, 35, 47. Section 16.7, exercises 11, 15, 25.

Turn in: Section 16.2, exercises 12, 26. Section 16.3, exercise 18. Section 16.4, exercises 8, 12. Section 16.5, exercise 12. Section 16.6, exercises 38, 46. Section 16.7, exercises 18, 30.

Special homework assignments. There are three short special homework assignments that are due roughly two weeks before each exam. You are expected to solve those with special care and hand them to your instructor by the date they are due. These assignments will be carefully graded by the instructors and you will receive detailed and prompt feedback about them that will help you prepare for the exams. The assignments also count toward your grade.

  • Assignment 1: Due on February 22 or 23 in your usual lecture -not in your recitation. Solutions.
  • Assignment 2: Due on March 22 or 23 in your usual lecture -not in your recitation. New date: due on April 2 or 3 in your usual lecture. Solutions.
  • Assignment 3: Due on April 26 or 27 in your usual lecture -not in your recitation. Solutions.

Here is an approximate summary of topics to be covered in class each week (notice that they may vary slightly across sections). The topics covered correspond approximately to chapters 12-16 of the textbook, which is Stewart's Multivariable Calculus, 8th edition.

  • Week of January 25: Vectors and geometry of space: points in three dimensions, basic algebra of vectors (sections 12.1 and 12.2).
  • Week of February 1: Vectors and geometry of space: dot product, cross product, lines and planes in three dimensions (sections 12.3, 12.4, 12.5).
  • Week of February 8: Vector functions: functions, curves, derivatives and integrals of vector functions (sections 13.1 and 13.2).
  • Week of February 15: Vector functions: arc length, curvature. Functions of several variables (sections 13.3, 13.4 -no Kepler laws- and 14.1).
  • Week of February 22: (no class on February 19-20) Limits and continuity in several variables (section 14.2).
  • Week of March 1: Partial derivatives: tangent planes, approximation by polynomials (sections 14.3 and 14.4).
  • Week of March 8: Partial derivatives: chain rule, directional derivatives (sections 14.5, 14.6).
  • Week of March 15: Partial derivatives: maxima and minima (sections 14.7 and 14.8).
  • Week of March 22: Multiple integrals: double integrals and applications (sections 15.1, 15.2, 15.3, and part of 15.4).
  • Week of March 29: No class (Spring break).
  • Week of April 5: Multiple integrals: triple integrals (sections 15.6 and 15.7).
  • Week of April 12: Multiple integrals: change of variables (sections 15.8 and 15.9).
  • Week of April 19: Vector calculus: vector fields, line integrals (sections 16.1, 16.2 and 16.3).
  • Week of April 26: Vector calculus: Green's theorem, surface integrals (sections 16.4, 16.5, 16.6 and the start of 16.7).
  • Week of May 3: Vector calculus: Stokes theorem, divergence theorem (remainder of section 16.7, sections 16.8 and 16.9). Note: class schedule during reading period depends on individual instructors.