College Algebra - Analytic Geometry

Math UN1003: College Algebra - Analytic Geometry (Fall 2020)

The syllabus for this course is available here (Updated: 8/15/2020).

Course Description - Online vs In-person: University policy dictates that all undergraduate courses for the fall 2020 term be conducted entirely online. Consequently, this course will be conducted online and will not have an in-person option. Lectures will be live-streamed via Zoom. All assignments and exams will be submitted online via CourseWorks. For more details on how certain elements of the course will function, first, see the course syllabus. If you have any further questions, then please send me an email.

Time: Monday and Wednesday, 6:10 pm - 7:25 pm

Location: Zoom (See CourseWorks for links)

Instructor Email: ajp2239@columbia.edu

Instructor Office Hours: Mondays, 11:45 am - 1:15 pm and Thursdays, 4:15 pm - 5:45 pm

Teaching Assistant: Anisha Tyagi

Teaching Assistant Email: at3219@columbia.edu

Teaching Assistant Office Hours: Mondays, 9:30 am - 11:30 am


Problem Sets



Exams




Course Schedule

This section will be updated after class to list the material that was covered. Suggested readings that relate to the material that was covered will also be posted.

  • Week 1
    • September 9, 2020:
  • Week 2
    • September 14, 2020:
      • exponents, radials, algebraic expressions, polynomials, factoring
      • Sections 1.2, 1.3
      • Lecture 2 Notes
    • September 16, 2020:
      • More algebraic expressions, domains, rationalizing denominators, equations, completing the square
      • Sections 1.3, 1.4, 1.5
      • Lecture 3 Notes
  • Week 3
    • September 21, 2020:
      • solving equations, solving inequalities
      • Sections 1.5, 1.8
      • Lecture 4 Notes
    • September 23, 2020:
      • Word problems, solving inequalities, the coordinate plane
      • Sections 1.7, 1.8, 1.9
      • Lecture 5 Notes
  • Week 4
    • September 28, 2020:
      • Equations of circles, functions, graphs of functions
      • Sections 1.9, 2.1, 2.2, 2.3
      • Lecture 6 Notes
    • September 30, 2020:
      • Average rate of change, transformations of functions
      • Sections 2.4, 2.6
      • Lecture 7 Notes
  • Week 5
    • October 7, 2020:
      • Transformations of functions, even/odd function, combining functions
      • Sections 2.6, 2.7
      • Lecture 8 Notes
  • Week 6
    • October 12, 2020:
      • Compositions of functions, one-to-one functions
      • Sections 2.7, 2.8
      • Lecture 9 Notes
    • October 14, 2020:
  • Week 7
    • October 19, 2020:
    • October 21, 2020:
      • Division of polynomials, rational root test, complex numbers
      • Sections 3.3, 3.4, 1.6
      • Lecture 12 Notes
  • Week 8
    • October 26, 2020:
      • Fundamental Theorem of Algebra, complex roots, rational functions
      • Sections 3.4, 3.5, 3.6
      • Lecture 13 Notes
    • October 28, 2020:
  • Week 9
    • November 4, 2020:
  • Week 10
    • November 9, 2020:
    • November 11, 2020:
      • Graphs of trigonometric functions, inverse trigonometric functions
      • Sections 5.3, 5.4, 5.5
      • Lecture 17 Notes
  • Week 11
    • November 18, 2020:
  • Week 12
    • November 23, 2020:
  • Week 13
    • November 30, 2020:
      • Trigonometric inverses via right triangles, trigonometric identities
      • Sections 6.4, 7.1, 7.2, 7.3
      • Lecture 20 Notes
    • December 2, 2020:
      • More trigonometric identities, trigonometric equations
      • Sections 7.3, 7.4
      • Lecture 21 Notes
  • Week 14
    • December 7, 2020:
      • More trigonometric equations, review/applications
      • Sections 7.4, 7.5
      • Lecture 22 Notes
    • December 9, 2020:
  • Week 15