Julia Wu

Math Teacher

Bachelor of Engineering from Tongji University, Doctoral student in Chinese Philosophy at Peking University (completed).

Teaching AP Pre-calculus, AP Calculus BC, and Math Seminar.

Passionate about teaching with a wide range of interests. Aspires to cultivate learners' ability to study independently in a flipped classroom setting, and hopes to guide learners to expand their understanding of mathematics from different perspectives in seminar discussions.

Curriculums3

MATH5006: Advanced Calculus BC

This course emphasizes a multi-representational approach to calculus with concepts, results, and problems represented in a variety of ways: graphical, numerical, analytical, and verbal. The first term of the course covers basic functions and models; limits and continuity; differentiation rules and applications; integrals and application of integration. The second term covers differential equations; parametric equations and polar coordinates; infinite sequences and series; and vector analysis. We will equip you with any necessary training for the AP Calculus BC test and an exploration report about the application of calculus will be required.

MATH5008: Advanced PreCalculus

AP PreCalculus is building on existing knowledge of algebra, geometry, and trigonometry. In this course, learners will explore the properties of different functions, solve equations and inequalities, draw function graphs, and analyze their variation patterns. In addition, it will exercise problem-solving skills and provide a deeper understanding of mathematical concepts through various applications. By the end of this course, learners will have a solid foundation in calculus and be fully prepared for further mathematics learning. The course content includes polynomiatals and rational functions, exponential and logarithmic functions, trigonometric and polar functions, involving parameters, vectors, and matrices.

MATH6001: Math Seminar

Math Seminar is a course for learners who are passionate about mathematics and are willing to fully understand the subject. This course is centered around mathematics and humanities. Some courses focus on the history of mathematics, mathematicians, mathematical thoughts and methods, the frontier of mathematics, and other related subjects. Some courses aim to break the artificial barriers of the subject and design the learning content in the form of themes, such as mathematics and life, mathematics and philosophy, mathematics and music, mathematics and art, weights and measures in ancient literature, etc. The journey of exploring mathematics cannot be separated from the active participation of learners. Sharing learning experiences and making classroom presentations based on the content they are interested in is an important part of the course and the main basis for daily grades. A math essay written in English is required for both midterms and finals.

Projects2

Exploring Pre-Calculus Concepts Through Real-World Applications

Disciplines/Subjects: Mathematics, Pre-Calculus, Applied Mathematics Key Themes: Mathematical Modeling, Real-World Applications, Exploration of Pre-Calculus Topics This project allows learners to choose a topic from the Pre-Calculus curriculum and explore its application in a real-world context. Topics may include polynomial and rational functions, exponential and logarithmic functions, or trigonometric and polar functions. Learners will conduct research, develop mathematical models, solve example problems, and discuss real-world applications. For instance, the sample work explores how trigonometric functions model sound waves, demonstrating the mechanics of music and sound. The project encourages creativity, critical thinking, and a deeper understanding of how mathematical concepts relate to practical scenarios.

Applying Calculus to Real-World Problem Solving

Disciplines/Subjects: Mathematics, Calculus, Applied Mathematics Key Themes: Mathematical Modeling, Optimization, Differentiation, Integration In this project, learners will apply their knowledge of calculus to analyze and solve a real-world problem. The project may involve mathematical modeling, optimization techniques, and the use of differentiation and integration to understand and optimize systems such as transportation, economics, engineering, or environmental processes. Learners will create a comprehensive report that includes mathematical models, calculations, and graphs, and will present their findings in a 5-10 minute oral presentation. This project encourages creativity and critical thinking in applying calculus concepts to practical situations.