MATH-UA 123 Calculus III
4 points. Fall, Spring and Summer terms.
Course Description
Functions of several variables. Vectors in the plane and space. Partial derivatives with applications, especially Lagrange multipliers. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorem of Gauss and Stokes.
Prerequisites
To register for this course, students must satisfy at least one (1) of the following prerequisites:
- Passing MATH-UA 122 Calculus II with a grade of C or higher
- A grade of "Pass/Fail" or an "Incomplete" do NOT satisfy the prerequisite
- AP Calculus BC score of 5
- IB Mathematics exam result from 2021 - 2027
- Analysis and Approaches HL score of 7
- IB Mathematics exam result from 2014 - 2020
- Further Mathematics HL score of 6 or higher
- Passing Calculus III placement exam
Note: Students who took an A Level Further Maths exam should contact the Math Department with a copy of their official exam score report. The student's name and exam scores must be clearly visible.
Anti-requisites
- MATH-UA 129 Honors Calculus III 1
- Math for Economics sequence 2
- MATH-UA 131 Math for Economics I
- MATH-UA 132 Math for Economics II
- MATH-UA 133 Math for Economics III
1 Students cannot take both the non-Honors version and the Honors version of the same course.
2 Students cannot mix-and-match, combine, or double-count between the Calculus and Math for Economics sequences. Switching back and forth between the Calculus and Math for Economics sequences is not permitted. Students may count only the Calculus sequence or only the Math for Economics sequence towards their degree requirements. The Math Department encourages students and advisors to contact us first if there are any questions regarding which sequence a student should register for.