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A few testimonials:

Kalamazoo College:

Math 110, Calc I With Review, Pt. 1:

  • "I didn't just learn the material, I gained understanding of what things were and why they worked the way they did."
  • "I really liked the hands on examples, as well as the study sessions you began to host. I really appreciate you taking students' feedback, and changing your teaching based on that feedback."

Math 111, Calc I With Review, Pt. 2:

  • "Professor really took the time to establish a relationship and make sure you understood what was going on."
  • "I feel so much more confident in my math skills and for the first time feel as though math is one of my strong suits."
  • "I learned a lot about calculus and how to think critically about a different assortment of problems."

Math 112, Calc I:
  • "Great teacher . . . passionate."
  • "I used to HATE math, now I'm interested!"

Math 113, Calc II:
  • "Really liked the class. I struggled more w/ this math course than I have maybe all others."
  • "I felt that as the course progressed, so did my problem solving ability."
  • "It was essential to learn Calc II, and it constantly pushed me to learn new material I had never thought about. It has given me the ability to think much more theoretically."


University of Pennsylvania:

Math 240, Calc III:

  • "Even though I feel I have utterly struggled through the content and exams of this course, mostly because I am completely disinterested in mathematics and cannot quite seem to solve problems efficiently, I can recognize the merit and passion Professor Lieberman has for mathematics, which visibly extends to every student in the room. He is one of the few professors that actually encourages questions that could challenge one's perception of traditional calculus/linear algebra. It also does not hurt that he is quite eloquent, entertaining and effective in communicating the ideas behind mathematical concepts, providing complicated explanations in layman's terms."

Math 312, Linear Algebra:
  • "Great course. This course covers many real world applications of linear algebra. However, the most interesting thing about this course was that Professor Lieberman taught this course from a very theoretical and mathematical perspective. Everything was taught from the ground up, which may have felt slow at first, but it gave us the opportunity to appreciate the foundational concepts. This course offered the best of both worlds: pure math, as well as applications. From a computer science perspective, this class covered many interesting applications, from computer graphics to signals processing."

Math 571, Classical Model Theory:
  • "This is easily one of the best math courses I've ever taken. It built up quickly from the very basics to rather deep theorems. One could come in with virtually no background and be exposed to really interesting and nontrivial results in the course of just one semester (and with a feeling of "getting there," that is, seeing how the theory is built up). The instructor had an excellent sense of pace and was great at selecting what material to teach (so that we would get the necessary tools to prove what we'd set out to prove -- he drew on set theory, Ramsey theory, topology, combinatorics). Looking back, the course seems like a sequence of very manageable steps that got us surprisingly far in a short time. . ."