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MTH 131: Calculus 1 B
4 credits
Review the properties of trigonometric and exponential functions and their inverses. Master the techniques of differential calculus as applied to these functions: limits, continuity, the derivative, and the antiderivative. Explore connections between the derivative and real world problems involving dynamics, material optimization, and related rates. (Learning Goals:Q;Distribution Reqs:Mathematics,Computing & Logic)
Learning Goals
Students shall: review the rules of differentiation of algebraic functions solve read-world optimization problems find antiderivatives understand why integration and differentiation are inverse processes learn the elementary techniques of integration represent exponential functions graphically, numerically, and symbolically represent logarithmic functions graphically, numerically, and symbolicallymanipulate and solve exponential and logarithmic equations apply exponential and logarithmic functions to mathematical problems apply limit rules to exponential and logarithmic functions apply the rules of differentiation to exponential and logarithmic functions find derivatives of all orders of exponential and logarithmic functions understand the six trigonometric functions, both in terms of right triangles andas coordinates of points on the unit circle manipulate trigonometric expressions using trigonometric identities apply limit rules to trigonometric functions apply the rules of differentiation to trigonometric functions find derivatives of all orders of trigonometric functions find asymptotes and apply l'Hospital's rule
*The learning goals displayed here are those for one section of this
course as offered in a recent semester, and are provided for the purpose of
information only. The exact learning goals for each course section in a
specific semester will be stated on the syllabus distributed at the start
of the semester, and may differ in wording and emphasis from those shown
here.