Calculus and Analytic Geometry II – MATH 132

CG • Section 16WK • 11/08/2019 to 04/16/2020 • Modified 07/28/2020

Course Description

A continuation of MATH 131. Techniques of integration, improper integrals, applications of integration, introduction to differential equations, sequences, infinite series, parameterizations of curves.

Prerequisites

MATH 131 or ENGR 131

Rationale

This course provides a standard introduction to the study of calculus. It presents the theory and applications of elementary calculus necessary for further study of mathematics.

Measurable Learning Outcomes

Upon successful completion of this course, the student will be able to:

  1. Integrate functions by parts, partial fractions, and trigonometric substitutions
  2. Demonstrate knowledge of computing arc length and parametrization
  3. Be able to solve elementary differential equations.
  4. Sketch and understand functions in polar coordinates
  5. Set up integrals in polar coordinate and compute areas
  6. Determine if a series converges or diverges.
  7. Demonstrate knowledge of the application of integration by solving problems in written form using proper mathematical notation and terminology.
  8. Begin to develop the ability to accurately and effectively communicate mathematics to others.
  9. Gain an appreciation for mathematics as a major factor in modern society.

Course Assignment

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in Module/Week 1.

Homework will be assigned through WebAssign, and the student will have multiple attempts at each problem. Even though homework problems are given online, students are encouraged to work out solutions on paper using correct mathematical notation before entering data into WebAssign.

Each quiz will be timed, handwritten, open-book/open-notes and cover the Reading & Study material for the assigned modules/weeks. The student will have 1 hour and 20 minutes to complete each quiz. On all written work, the student is expected to write correct mathematics to avoid point deductions.

Each test will be timed, handwritten, open-book/open-notes, and cover the Reading & Study material for the assigned modules/weeks. The student will have 2 hours to complete each exam. On all written work, the student is expected to write correct mathematics to avoid point deductions.

The Final Exam will be timed, handwritten, open-book/open-notes, and cover all of the material from the course. The student will have 3 hours to complete the Final Exam. On all written work, the student is expected to write correct mathematics to avoid point deductions.