Jane Tu

Integrated Math 1: Interpretation (MATH1001) is a dynamic course that spans two semesters, blending key concepts from algebra and geometry to build a solid mathematical foundation. In the first semester, learners will actively study descriptive statistics and linear and quadratic functions and delve into polynomial, rational, and radical relationships. The second-semester shifts focus on geometry, emphasizing similarity, right triangles, and trigonometry, concluding with an exploration of circles and their properties. This course is an ideal course for non-STEM learners as it emphasizes practical understanding and application of mathematical concepts, fostering critical thinking and analytical skills that are valuable in a broad array of disciplines beyond the sciences and engineering.

Integrated Math 1: Analysis (MATH1901) is a comprehensive course that spans two semesters, focusing on key mathematical concepts. In the first semester, learners explore descriptive statistics, learning to analyze and interpret data through graphical and numerical methods. This leads to linear functions, with topics covering graphing, slopes, and arithmetic sequences, followed by quadratic functions and transformations. In the second semester, the course dives into geometry, starting with concepts of similarity and extending into right triangles and trigonometry. This includes studying trigonometric ratios, the Pythagorean theorem, and the laws of sines and cosines. The final units of the course cover polynomial, rational, and radical relationships, where learners learn polynomial operations, factoring, and solving complex equations. This is an ideal course for those aiming to build a strong foundation in math for future studies in science, technology, engineering, or mathematics (STEM).

This course is designed for learners who are interested in participating in math competitions and want to enhance their problem-solving skills in various mathematical topics. Whether you are preparing for the American Mathematics Competitions (AMC), the Mathematical Association of America's (MAA) competitions, or any other math competition, this course will provide you with the tools and techniques you need to succeed.

Throughout the course, you will explore a range of mathematical topics, including algebra, geometry, number theory, and combinatorics, and learn how to tackle challenging problems that require creative and analytical thinking. You will also have the opportunity to practice with a variety of problem sets and gain valuable feedback from experienced instructors.

Multivariable calculus is an extension of single-variable calculus to multiple variables. In this course, the topics include vectors and matrices, parametric curves, partial derivatives, double and triple integrals, and vector calculus in both 2-D and 3-D spaces. This course aims to provide learners with a solid understanding of multivariable calculus concepts and techniques, while also introducing them to the practical application of these concepts using the computational power of Mathematica.