MATH 110 Calculus I, Part II (3)

Catalog Description:

Introduction to the integral calculus of algebraic, exponential, and logarithmic functions with the associated analytical geometry. An emphasis on exponential, logarithmic, and inverse trig functions. Completion of both MATH 109 and MATH 110 will be equivalent of the completion of MATH 111. Prerequisite:  MATH 109. (Offered J-Term only.) DISCONTINUED and replaced by MATH 103 (S13)


Prerequisites:

Students must complete MATH 109 before taking this course.


Required Course Materials:

Larson, Hostetler and Edwards, Calculus, 9th edition, Brooks/Cole, 2010Douglas C. Phillippy, Ph.D., Associate Professor of Mathematics


Course Coordinator:

Douglas C. Phillippy, Ph.D., Associate Professor of Mathematics


Course Audience:

Students majoring in mathematics, computer science, engineering, physics, chemistry, or economics. Intended for students who desire to have Calculus I presented at a slower pace and those who have already completed MATH 109 Calculus I, Part I. Students must complete MATH 109 before taking this course.


Course Objectives:

  1. To develop a rigorous understanding of the concept of integration.
  2. To develop an understanding of the calculus of transcendental functions.
  3. To strengthen the studentís mathematics background by reviewing selected precalculus topics as they are needed in the calculus sequence.
  4. To enhance learning by examining geometric, numerical, and algebraic aspects of each problem.
  5. To acquire an understanding of the breadth of mathematics by introducing applications in a wide variety of scientific fields.
  6. To use the tools of Calculus to formulate and solve multi-step problems and to interpret the numerical results.
  7. To develop the studentís ability to communicate mathematical concepts through a series of written laboratory assignments and classroom discussions.
  8. To select and use technology when appropriate in problem solving.


Topics:

  1. The integral: A) sigma notation, B) Riemann sums, C) the definite integral, D) The Fundamental Theorem of Calculus, E) indefinite integrals, F) substitution, G) numerical integration, and H) integration by parts.
  2. Applications of the integral: A) area between two curves, B) the shell method, C) the disk method, D) arc length, and E) elementary separable differential equations.
  3. Transcendental functions: A) the natural log function, B) the exponential function, and C) inverse trig functions.


 

Revised: January 2010

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