Linear Algebra
Course Information
Linear Algebra is an advanced post-AP mathematics course focused on vectors, matrices, systems of linear equations, vector spaces, and linear transformations.
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 many quantitative, computational, and technical college pathways, including:
Computer Science / Artificial Intelligence / Machine Learning / Data Science / Mathematics / Physics / Engineering / Quantitative Finance / Economics / Robotics / Statistics
Prerequisites
Students should:
- Complete AP Calculus BC with an A or B
Students should also have strong algebraic reasoning, function skills, mathematical notation, and experience solving multi-step quantitative problems.
Students with equivalent advanced mathematics preparation may contact Franklin Academy regarding placement.
Course Units
- Systems of Linear Equations and Matrices
- Determinants
- Euclidean Vector Spaces
- General Vector Spaces and Subspaces
- Inner Product Spaces and Orthogonality
- Linear Transformations
- Eigenvalues and Eigenvectors
- Applications of Linear Algebra
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.
Multivariable Calculus
Extend calculus into several variables through partial derivatives, multiple integrals, vector fields, and major vector calculus theorems.
AP Physics C: Electricity and Magnetism
Apply calculus to electric fields, circuits, magnetic fields, flux, and electromagnetic induction.
AP Statistics
Build data-analysis, probability, regression, and statistical inference skills that complement linear algebra in data science and quantitative modeling.
AP Computer Science A
Develop programming and algorithmic problem-solving skills that support computational mathematics, engineering, and scientific modeling.
Questions About Linear Algebra
Do I need AP Calculus BC before taking Linear Algebra?
At Franklin Academy, students should complete AP Calculus BC with an A or B before enrolling.
Although many introductory college Linear Algebra courses do not require advanced calculus, Franklin Academy uses AP Calculus BC as an academic-readiness prerequisite for this advanced high school offering.
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 Linear Algebra in high school?
Linear Algebra allows students who have completed the traditional high school mathematics sequence to continue into advanced mathematics.
It is particularly valuable for students interested in computer science, artificial intelligence, machine learning, data science, engineering, physics, mathematics, economics, or quantitative finance.
Is Linear Algebra important for AI and machine learning?
Yes. Concepts such as vectors, matrices, transformations, eigenvalues, projections, and high-dimensional spaces are fundamental mathematical tools used throughout machine learning, data science, computer vision, and related computational fields.
What college course is Linear Algebra similar to?
The curriculum is comparable in topic coverage to an introductory college Linear Algebra course.
Exact placement, equivalency, and credit policies vary by university.
Interested in Enrolling in AP Classes?
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