# MATH-UA 129 Honors Calculus III

4 points. Fall and Spring terms.

## Course Description

Similar to MATH-UA 123 Calculus III, but at a faster pace and deeper level. 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. Students interested in an honors mathematics degree are especially encouraged to consider this course.

## 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 A- or higher
- A grade of "Pass/Fail" or an "Incomplete" do
**NOT**satisfy the prerequisite

- A grade of "Pass/Fail" or an "Incomplete" do
- 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 123 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.