Award-Winning AP Pre-Calculus Tutors
serving Denver, CO

I am a graduate of Rice University with a Bachelor of Science in Physics, a Bachelors of Arts in Philosophy, and a minor in Neuroscience. My previous tutoring experiences have primarily focused on college level physics, math, and chemistry; AP Calculus, AP Physics, and AP Chemistry; the ACT and SAT college entrance exams; general mathematics at the high school level; and middle school level math and english for state standardized testing. Additionally, I have experience working with students with learning differences including dyslexia, ADHD, and ASD. As someone who loves learning, I am a firm believer in making our meetings enjoyable as well as educational. STEM subjects in particular have the reputation for being boring and complicated, but I love that as a tutor I can help students make sense of the topics and find the fun!

The moment AP Pre-Calculus shifts from 'solve this equation' to 'describe what this function is doing and why,' a lot of students lose their footing — and that's exactly the transition Sharif is built to coach. His deep calculus background (he teaches through AP Calculus BC) means he can trace every pre-calculus concept forward, showing students how mastering function behavior now pays off in the next course. He approaches each session by working backward from the reasoning the AP exam actually tests, not just the computations.

I am a sophomore at Vanderbilt University studying Applied Mathematics and Economics, with a strong passion for helping students build confidence in math. As a Course Assistant for calculus, I work closely with students to break down complex concepts into clear, manageable steps and create an environment where they feel comfortable asking questions. I focus on building a strong foundation while also helping students develop problem-solving strategies they can apply independently. Having worked with students at different levels, I understand that everyone learns differently, and I tailor my approach to fit each student's needs. My goal is not only to help students improve their grades, but also to help them feel more confident and capable in math.

AP Pre-Calculus covers function analysis, trigonometry, and modeling at a pace that can overwhelm students who've only seen these topics casually. Joey's scientific computing work at Penn demanded fluency with polynomial behavior, transformations, and rate-of-change reasoning — exactly the skills this course tests. He teaches each unit by tying abstract function properties back to problems students can visualize.

I love helping people! Whether it's learning math, writing, reading, etc. or playing sports, I really enjoy seeing other succeed via my assistance. I try to relate to students in whatever they enjoy and in doing so, apply concepts to our like interests to work through difficult subjects as well as to help foster a good, professional relationship. I have tutored several students in both math and English in the past and they have enjoyed resounding success and continue to reach out for my assistance. I look forward to working with and meeting many students and parents while helping them succeed in any way I can. When I am not tutoring, I enjoy playing sports (golf, basketball, softball, volleyball), playing with my dog, and hanging out with my wife. In addition, I am a meteorologist and oceanographer following my graduation at Penn State University with a BS in Meteorology. Finally, I am presently a student at MIT pursuing a Master's degree in Physical Oceanography.

When I was in high school, I remember seeing the joy of my math teachers when they would teach in class. This inspired me to become a high school math teacher. The first step was becoming a peer tutor to my classmates. This lead to tutoring math to college students. Then tutoring students while working as a TA. Then I worked as a data scientist which not only did I understand more how to apply math in the workspace, but also learned how to explain math concepts to coworkers without a strong math background. This helped me to shape my tutoring philosophy to relate to the person being tutored and this opened the door to me teaching high school calculus 1 & calculus 2! I am currently teaching precalculus at a community college.

Hello! My name is Mihir, and I'm a passionate and experienced math tutor with a strong academic foundation. I hold a B.S. in Mathematics from Carnegie Mellon University, where I concentrated in Discrete Mathematics and Logic and earned a Minor in Computer Science. I also completed my M.S. in Computer Science at the University of Illinois at Urbana-Champaign. My background equips me with both deep mathematical knowledge and a problem-solving mindset that I bring into every tutoring session. I specialize in tutoring Math at the middle and high school levels. In the past, I've taught SAT Math, AP Calculus, AP Chemistry, and Algebra 1 and 2, among other subjects. My teaching approach focuses on building intuition and a sense of methodical problem-solving so that students can avoid memorization and cramming. I believe that this is the best way for students to be assured of their own skills and have confidence in tackling problems on their own.

Where most students stumble in AP Pre-Calculus is the shift from computing answers to reasoning about how functions behave across different representations — tables, graphs, and equations all telling the same story. Channing's deep math background, spanning competition math through multivariable calculus, means he can trace every AP Pre-Calculus concept back to the core logic driving it, especially when piecewise and trigonometric models start demanding real analytical thinking instead of rote steps. He's also taught enough younger students to know exactly which algebraic habits need fixing before the course's pace leaves anyone behind.

Northwestern's engineering curriculum threw Katherine into differential equations and systems modeling early, which means she built her fluency with polynomial, trigonometric, and exponential functions under real problem-solving pressure — not just in a precalculus classroom. She uses that background to teach AP Pre-Calculus with an emphasis on function composition and rate-of-change reasoning, walking students through how to interpret what a model is doing before worrying about computing an answer. Her engineering instinct for breaking complex problems into sequential, manageable steps translates directly to the multi-part analysis questions the AP exam favors.

I am a doctoral candidate at the University of Calgary, Canada. I received my Master of Science in chemical engineering with focus on modelling complex materials in 2016. During graduate school, I have acted as a teaching assistant (TA) extensively, teaching a very wide variety of courses to students across different age groups. While I tutor a broad range of subjects, I am most passionate about the physical sciences. In my experience TAing university courses, I have learned how to explain a concept from many different points of view, to make it understandable to the most number of students. In my spare time, I enjoy reading, hiking, digital photography and playing chess.

As a passionate tutor working on a Bachelor's degree in Economics, Mathematics, and Philosophy from the University of Toronto, I have over two years of tutoring experience that spans various subjects, including Writing, English, and advanced math topics. My approach centers on creating engaging, tailored lessons that resonate with students' individual goals and interests. I believe in fostering a supportive learning environment where trial and error can lead to discovery and growth. My experience includes working with elementary and high school students, helping them navigate their homework, prepare for tests like the SAT, and cultivate a deeper appreciation for math and writing. I am deeply motivated to inspire students and help them achieve their academic aspirations while nurturing their curiosity and confidence. I enjoy: Writing, Reading, Piano, Fencing, Archery, Math, Economics, Philosophy, Law.

When I was young, I realized that I thought differently about Mathematics than my peers. I read the textbook and instantly understood it. Meanwhile, they struggled for hours. Seeing my childhood friends struggle in this way tugged on my heartstrings the same then as it does to see this struggle in my adult friends today. Because of this, I have developed a great passion for helping other people understand complex ideas. I have a strong belief that the best thing for a society is the spread of advanced critical thinking skills, so any learning assistance I can offer someone is doubly satisfying to me in that way. I studied for two years at Georgia Tech working towards a B.S. in Mechanical Engineering, before having to withdraw for medical reasons. Through my work as a tutor, I intend to fund my return to collegiate education, although I am now interested in a degree more directly related to Mathematics. I enjoy tutoring many levels of Math, from basic Algebra all the way to mid-level Calculus. In fact, regardless of the topic at hand, I place a heavy emphasis on the importance of algebraic derivation, and understanding of Algebra in general. As they say, "Calculus is two steps of magic, and 30 steps of Algebra."