Academics

Math at Webb

The Mathematics Department employs a problem-based curriculum to engage students in building both a knowledge base and a skill set, enabling them to apply their knowledge in new and challenging situations. This takes place in a student-centered classroom where students experience mathematics symbolically, numerically, graphically, and verbally. They develop the ability to articulate their understanding of mathematics by regularly presenting and defending their solutions, a skill that benefits them across disciplines at Webb. We believe that through solving problems, students are encouraged to develop skills in investigation, conjecture, prediction, analysis, and verification. These skills provide the best foundation for mastering mathematics and its application across the curriculum.

List of 5 items.

Class Example | Financial Mathematics

This rigorous course in financial mathematics offers an in-depth examination of analyzing and interpreting authentic financial data. It challenges students to make sound, evidence-based decisions using real-world scenarios. The curriculum begins with a series of demanding personal finance projects. As the course progresses, students will tackle more complex and intricate tasks, such as making savvy investment decisions with a large sum of money and successfully launching a new product line. Throughout the academic year, students will gain a comprehensive understanding and ability to perform essential financial calculations, including the time value of money, sequences for non-contingent payments, bonds and loans, yield curves, rates of return, convexity, cash flow matching, and portfolio immunization. Using Excel spreadsheets, students will explore financial theory and understand why this powerful tool remains central to the financial industry.
Class Example | Advanced Studies Multivariable Calculus

Multivariable Calculus is recommended for students with a strong background in the problem-solving aspects of single-variable calculus who seek a rigorous treatment of calculus in several dimensions. Both the theoretical and practical problem-solving aspects of multivariable calculus are meticulously addressed. Topics covered include parametric equations and polar coordinates, vectors in two- and three-dimensional Euclidean spaces, differentiation in $\mathbb{R}^n$ (including partial derivatives, gradients, the total derivative, the Chain Rule, optimization problems, and vector-valued functions), and integration in $\mathbb{R}^n$ (including Fubini’s Theorem and iterated integration, line and surface integrals, differential forms, and the theorems of Green, Gauss, and Stokes). Additional topics, such as the topology of $\mathbb{R}^n$ including the Bolzano-Weierstrass and Heine-Borel theorems, and a treatment of abstract metric spaces, compact sets, and continuous mappings, may be introduced as time permits to accommodate students' interests.

(offered in 2025–26)
Class Example | Advanced Studies Linear Algebra

This course utilizes the language of matrices and vectors to explore the relationship between algebraic and geometric thinking in both the plane and three-dimensional space, ultimately extending these concepts to higher dimensions. Topics include vector geometry, systems of linear equations, matrix algebra, geometric transformations, vector spaces, linear mappings, change of basis, eigenvalues, and eigenvectors. To balance theory and practice, application modules will be integrated throughout the course. These may include linear programming, Markov chains, computer graphics, recursions, and quadratic forms. Extensive use of computer software and the TI-Nspire calculator will be a key component of the coursework.
Class Example | Advanced Courses in Computer Science

Advanced courses in computer science are offered in partnership with faculty from Harvey Mudd College (HMC). Students start with CS5, HMC's introductory course, and then progress to other advanced offerings. Harvey Mudd faculty and students support Webb students in their studies, both on our campus and at HMC’s facilities. Specific course offerings depend on student interest, and the schedule with HMC is arranged each spring. Students interested in enrolling in our HMC partnership program must apply in writing through the Chair of Mathematics and Computer Science.
Class Example | Technology & Innovation Seminar

Attention coders, engineers, scientists, artists, writers, and aspiring innovators! This course embarks on a transformative, project-based exploration of innovation, computational thinking, and design. Through student-driven exploratory projects, students develop skills in computer science, robotics, programming, AI, and design, guided by essential questions around ethics, collaboration, and personal growth. The course employs portfolios to track project questions, challenges, and successes, encouraging metacognition and fostering inclusivity in design thinking. To culminate, students pitch multidisciplinary projects, leading to an individualized capstone project. Projects might include creating a digital scan of a campus building and designing an AR/VR experience, developing a video game, or using AI to address world hunger. This course pioneers new modes of expression, applies technology ethically and opens interdisciplinary opportunities for all future innovators.

Pick a Department

School Level

Department

Meet Our Math Teachers

List of 8 members.

Brian Caldwell

Teacher

California Polytechnic University, Pomona - B.S.
Mrs. Sarah Lantz

The Webb Schools Dean of Students

Scripps College - Bachelors
Claremont Graduate University - Masters
Syrah Lemos
Jose Munoz-Lopez
Kenny Nguyen

North Carolina State University - Ph.D.
University of Chicago - B.S.
University of Michigan - M.A.
Geoffrey "Geoff" Owers

Teacher

Arizona State University - B.S., M. Ed.
Ms. Maria Suarez

Intercontinental University - M.E.
Universidad del Tachira - B.S.
Sarah Trobaugh

University of La Verne - B.S.