Multivariable Calculus
Course Information
Multivariable Calculus is an advanced post-AP mathematics course that extends the concepts of differential and integral calculus to functions of several variables.
Subject Area: Mathematics
UC A-G Area: C – Mathematics
Course Level: Post-AP / Advanced Honors
Open Terms: Summer & Fall
Enrollment Information
Course Start: 9/10/2026
Course End: 4/29/2027
Class Mode: Onsite/Online
Enrollment Period: 5/1/2026-8/30/2026
Related College Majors
This advanced course provides useful preparation for highly quantitative and technical college pathways, including:
Aerospace Engineering / Electrical Engineering / Mechanical Engineering / Mathematics / Physics / Computer Science / Data Science / Financial Engineering / Applied Mathematics / Robotics
Prerequisites
Students should:
- Complete AP Calculus BC with an A or B
Students should have a strong command of single-variable differentiation and integration, techniques of integration, parametric and polar functions, sequences and series, and mathematical notation.
Students with equivalent advanced calculus preparation may contact Franklin Academy regarding placement.
Course Units
- Vectors and the Geometry of Space
- Vector Functions and Motion in Space
- Partial Derivatives and Gradient Vectors
- Multiple Integrals
- Vector Calculus
Comparison Table
Related AP Courses
Explore other AP courses that complement this course and can help you build a broader academic pathway based on your interests, strengths, and future college goals.
Linear Algebra
Study vector spaces, matrices, linear transformations, determinants, eigenvalues, and eigenvectors.
AP Physics C: Electricity and Magnetism
Apply calculus to electric fields, circuits, magnetic fields, flux, and electromagnetic induction.
AP Physics C: Mechanics
Apply differential and integral calculus to motion, forces, energy, momentum, rotation, and oscillations.
AP Computer Science A
Develop programming and algorithmic problem-solving skills that support computational mathematics, engineering, and scientific modeling.
Questions About Multivariable Calculus
Is there an AP Exam for Multivariable Calculus?
No. College Board does not currently offer an AP Multivariable Calculus course or exam. AP Calculus BC is the highest calculus course currently offered within the AP program.
Do I need AP Calculus BC before taking this course?
At Franklin Academy, students should complete AP Calculus BC with an A or B before enrolling.
This preparation is important because Multivariable Calculus assumes fluency with differentiation, integration, parametric equations, polar coordinates, and other single-variable calculus concepts.
Why take Multivariable Calculus in high school?
Students who complete AP Calculus BC early can continue advancing rather than repeating material. The course introduces mathematics commonly used in engineering, physics, computer science, applied mathematics, economics, and other quantitative university programs.
What is the Personalized Project Reference?
The Personalized Project Reference, or PPR, is an outline based on the student’s course project research. Students submit it through the AP Digital Portfolio before the exam and receive a printed copy for reference during the speaking portion.
Will I receive high school credit for taking this course?
Yes. Franklin Academy is a WASC-accredited private school. Upon completion of the course, Franklin Academy issues an official transcript with the WASC seal. Students may choose to transfer credits to their school of record or submit the Franklin Academy transcript as part of their college application materials.
Interested in Enrolling in AP Classes?
Franklin Academy offers a range of AP courses designed to help students strengthen their academic foundation, explore advanced subjects, and prepare for college-level coursework. Complete the form below and let us know which AP courses you’re interested in.