MATH& 152: Calculus II

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Class Program
Mathematics
Distribution
Symbolic or Quantitative Reasoning,
Math/Science Non-Laboratory
Credits 5 Lecture Hours 55
This course will expand on the applications and techniques of differentiation learned in the first quarter and give a depth study of integration including the fundamental methods of integrating elementary algebraic and transcendental functions. It will include the applications of the calculus to transcendental functions, analytical geometry and other relevant topics.

Prerequisites

MATH& 151 or instructor permission
Quarters Offered
Fall,
Winter,
Spring
Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

  1. Use appropriate methodology to compute definite and indefinite integrals, including improper integrals
  2. Use integrals to compute geometric and physical properties
  3. Use integrals to model and solve problems in physics
Institutional Outcomes
IO2 Quantitative Reasoning: Students will be able to reason mathematically.
Course Content Outline
  1. Riemann Sums and Definite Integrals
  2. Basic Properties, Area, and the Mean Value Theorem for Integrals
  3. The Fundamental Theorem of Calculus
  4. Indefinite Integrals
  5. Integration by Substitution
  6. Exponential Functions and the Derivative of ex
  7. Inverse Functions and Their Derivatives
  8. Logarithmic Functions and the Derivative of ln x
  9. Exponential and Logarithmic Integrals
  10. L’Hopital’s Rule
  11. Inverse Trigonometric Functions
  12. Integrals of Inverse Trigonometric Functions;
  13. Areas Between Curves
  14. Volumes of Solids of Revolution -Disks and Washers
  15. Cylindrical Shells -An Alternative to Washers
  16. Curve Length and Surface Area
  17. Work
  18. Fluid Pressures and Fluid Forces
  19. Centers of Mass
  20. Basic Integration Formulas
  21. Integration by Parts
  22. Partial Fractions
  23. Trigonometric Substitutions
  24. Integral Tables
  25. Improper Integrals
  26. Introduction to Double Integrals
Department Guidelines

In order to give the instructor the greatest flexibility in assigning a grade for the course, grades will be based on various instruments at the instructor’s discretion. However, to maintain instructional integrity there must be four class exams or three class exams and a project. A final exam will be given if there are less than four exams or a project may be substituted for the final exam if there are four in-class exams. At least 60% of the grade will be based on quantifiable work (exams, homework, quizzes, etc.). The remaining portion of the grade may be based on quantifiable work, attendance, projects, journal work, etc., at the instructor's discretion.

The following is a compilation of acceptable grading instruments: In class exams and a final, attendance, homework or quizzes, research paper, modeling projects on the calculator or computer. Other projects or assignments may be assigned as deemed appropriate at the instructor's discretion.