MATH 2100H Calculus I Honor

(B) Bachelors
(OS) Halmos Coll of Nat Sci & Ocn
(OMAT) OS - Mathematics
4 credits

Functions, limits, and derivatives of algebraic functions. Introduction to derivatives of trigonometric functions, logarithmic functions; application of derivatives to physics problems; related rates and maximum/minimum problems, and definite and indefinite integrals with applications. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisites: Challenge examination or MATH 1250; Honors students only. Frequency: Every Fall. (Description Last Updated: Summer I 2016 (201650))

Learning Outcomes

  1. Describe the concept of limit of a function at a point and at infinity and the concept of continuity at a point and over an interval. Compute limits of sums, products, differences, and quotients of functions.
  2. Describe the relationship between line slope, rate change, and derivative and apply the definition of derivative to compute the derivative of a function.
  3. Compute derivatives of functions using the product, quotient, power and chain rules explicitly and implicitly.
  4. Use the second derivative to find intervals where a function is concave up/down.
  5. Describe how the integral came about and be able to compute areas under curves.
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